python/numpy-09/index.htm - master - fedorhub/Python_Le

python/numpy-09/index.htm
8 604 строки791 KB
fedorhub
upload files
17 дек 2025, 14:35
17 дек 2025, 14:3550de53d
<!DOCTYPE html>

<html class="no-js" lang="ru-RU">

	<head>

		<meta http-equiv="content-type" content="text/html" charset="UTF-8" />
		<meta name="viewport" content="width=device-width, initial-scale=1.0" >

		<link rel="profile" href="http://gmpg.org/xfn/11">

		<meta name='robots' content='index, follow, max-image-preview:large, max-snippet:-1, max-video-preview:-1' />

<script>
MathJax = {
  tex: {
    inlineMath: [['$','$'],['\\(','\\)']], 
    processEscapes: true
  },
  options: {
    ignoreHtmlClass: 'tex2jax_ignore|editor-rich-text'
  }
};

</script>

	<!-- This site is optimized with the Yoast SEO plugin v23.8 - https://yoast.com/wordpress/plugins/seo/ -->
	<title>Массив Numpy | Программирование на Питоне</title>
	<meta name="description" content="Массив Numpy представляет собой многомерный массив данных, над которыми можно выполнять математические, статистические и другие операции." />
	<link rel="canonical" href="https://www.dmitrymakarov.ru/python/numpy-09/" />
	<meta property="og:locale" content="ru_RU" />
	<meta property="og:type" content="article" />
	<meta property="og:title" content="Массив Numpy | Программирование на Питоне" />
	<meta property="og:description" content="Массив Numpy представляет собой многомерный массив данных, над которыми можно выполнять математические, статистические и другие операции." />
	<meta property="og:url" content="https://www.dmitrymakarov.ru/python/numpy-09/" />
	<meta property="og:site_name" content="Машинное обучение" />
	<meta property="article:modified_time" content="2024-10-12T18:21:30+00:00" />
	<meta property="og:image" content="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png" />
	<meta property="og:image:width" content="640" />
	<meta property="og:image:height" content="288" />
	<meta property="og:image:type" content="image/png" />
	<meta name="twitter:card" content="summary_large_image" />
	<meta name="twitter:label1" content="Примерное время для чтения" />
	<meta name="twitter:data1" content="39 минут" />
	<script type="application/ld+json" class="yoast-schema-graph">{"@context":"https://schema.org","@graph":[{"@type":"WebPage","@id":"https://www.dmitrymakarov.ru/python/numpy-09/","url":"https://www.dmitrymakarov.ru/python/numpy-09/","name":"Массив Numpy | Программирование на Питоне","isPartOf":{"@id":"https://www.dmitrymakarov.ru/#website"},"primaryImageOfPage":{"@id":"https://www.dmitrymakarov.ru/python/numpy-09/#primaryimage"},"image":{"@id":"https://www.dmitrymakarov.ru/python/numpy-09/#primaryimage"},"thumbnailUrl":"https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png","datePublished":"2021-11-29T08:27:42+00:00","dateModified":"2024-10-12T18:21:30+00:00","description":"Массив Numpy представляет собой многомерный массив данных, над которыми можно выполнять математические, статистические и другие операции.","breadcrumb":{"@id":"https://www.dmitrymakarov.ru/python/numpy-09/#breadcrumb"},"inLanguage":"ru-RU","potentialAction":[{"@type":"ReadAction","target":["https://www.dmitrymakarov.ru/python/numpy-09/"]}]},{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https://www.dmitrymakarov.ru/python/numpy-09/#primaryimage","url":"https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png","contentUrl":"https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png","width":640,"height":288},{"@type":"BreadcrumbList","@id":"https://www.dmitrymakarov.ru/python/numpy-09/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Главная страница","item":"https://www.dmitrymakarov.ru/"},{"@type":"ListItem","position":2,"name":"Программирование на Питоне","item":"https://www.dmitrymakarov.ru/python/"},{"@type":"ListItem","position":3,"name":"Массив Numpy"}]},{"@type":"WebSite","@id":"https://www.dmitrymakarov.ru/#website","url":"https://www.dmitrymakarov.ru/","name":"Машинное обучение","description":"","publisher":{"@id":"https://www.dmitrymakarov.ru/#/schema/person/3fc221e2d391cc5cfd9d31c9c251c2a4"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https://www.dmitrymakarov.ru/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ru-RU"},{"@type":["Person","Organization"],"@id":"https://www.dmitrymakarov.ru/#/schema/person/3fc221e2d391cc5cfd9d31c9c251c2a4","name":"DmitryMakarov","image":{"@type":"ImageObject","inLanguage":"ru-RU","@id":"https://www.dmitrymakarov.ru/#/schema/person/image/","url":"https://secure.gravatar.com/avatar/2c5f922d990c667feffc00f99517cc0e?s=96&d=mm&r=g","contentUrl":"https://secure.gravatar.com/avatar/2c5f922d990c667feffc00f99517cc0e?s=96&d=mm&r=g","caption":"DmitryMakarov"},"logo":{"@id":"https://www.dmitrymakarov.ru/#/schema/person/image/"}}]}</script>
	<!-- / Yoast SEO plugin. -->


<link rel='dns-prefetch' href='//cdn.jsdelivr.net' />
<link rel="alternate" type="application/rss+xml" title="Машинное обучение &raquo; Лента" href="https://www.dmitrymakarov.ru/feed/" />
<link rel="alternate" type="application/rss+xml" title="Машинное обучение &raquo; Лента комментариев" href="https://www.dmitrymakarov.ru/comments/feed/" />
<script type="text/javascript">
/* <![CDATA[ */
window._wpemojiSettings = {"baseUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/72x72\/","ext":".png","svgUrl":"https:\/\/s.w.org\/images\/core\/emoji\/15.0.3\/svg\/","svgExt":".svg","source":{"concatemoji":"https:\/\/www.dmitrymakarov.ru\/wp-includes\/js\/wp-emoji-release.min.js?ver=6.6.2"}};
/*! This file is auto-generated */
!function(i,n){var o,s,e;function c(e){try{var t={supportTests:e,timestamp:(new Date).valueOf()};sessionStorage.setItem(o,JSON.stringify(t))}catch(e){}}function p(e,t,n){e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(t,0,0);var t=new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data),r=(e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(n,0,0),new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data));return t.every(function(e,t){return e===r[t]})}function u(e,t,n){switch(t){case"flag":return n(e,"\ud83c\udff3\ufe0f\u200d\u26a7\ufe0f","\ud83c\udff3\ufe0f\u200b\u26a7\ufe0f")?!1:!n(e,"\ud83c\uddfa\ud83c\uddf3","\ud83c\uddfa\u200b\ud83c\uddf3")&&!n(e,"\ud83c\udff4\udb40\udc67\udb40\udc62\udb40\udc65\udb40\udc6e\udb40\udc67\udb40\udc7f","\ud83c\udff4\u200b\udb40\udc67\u200b\udb40\udc62\u200b\udb40\udc65\u200b\udb40\udc6e\u200b\udb40\udc67\u200b\udb40\udc7f");case"emoji":return!n(e,"\ud83d\udc26\u200d\u2b1b","\ud83d\udc26\u200b\u2b1b")}return!1}function f(e,t,n){var r="undefined"!=typeof WorkerGlobalScope&&self instanceof WorkerGlobalScope?new OffscreenCanvas(300,150):i.createElement("canvas"),a=r.getContext("2d",{willReadFrequently:!0}),o=(a.textBaseline="top",a.font="600 32px Arial",{});return e.forEach(function(e){o[e]=t(a,e,n)}),o}function t(e){var t=i.createElement("script");t.src=e,t.defer=!0,i.head.appendChild(t)}"undefined"!=typeof Promise&&(o="wpEmojiSettingsSupports",s=["flag","emoji"],n.supports={everything:!0,everythingExceptFlag:!0},e=new Promise(function(e){i.addEventListener("DOMContentLoaded",e,{once:!0})}),new Promise(function(t){var n=function(){try{var e=JSON.parse(sessionStorage.getItem(o));if("object"==typeof e&&"number"==typeof e.timestamp&&(new Date).valueOf()<e.timestamp+604800&&"object"==typeof e.supportTests)return e.supportTests}catch(e){}return null}();if(!n){if("undefined"!=typeof Worker&&"undefined"!=typeof OffscreenCanvas&&"undefined"!=typeof URL&&URL.createObjectURL&&"undefined"!=typeof Blob)try{var e="postMessage("+f.toString()+"("+[JSON.stringify(s),u.toString(),p.toString()].join(",")+"));",r=new Blob([e],{type:"text/javascript"}),a=new Worker(URL.createObjectURL(r),{name:"wpTestEmojiSupports"});return void(a.onmessage=function(e){c(n=e.data),a.terminate(),t(n)})}catch(e){}c(n=f(s,u,p))}t(n)}).then(function(e){for(var t in e)n.supports[t]=e[t],n.supports.everything=n.supports.everything&&n.supports[t],"flag"!==t&&(n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&n.supports[t]);n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&!n.supports.flag,n.DOMReady=!1,n.readyCallback=function(){n.DOMReady=!0}}).then(function(){return e}).then(function(){var e;n.supports.everything||(n.readyCallback(),(e=n.source||{}).concatemoji?t(e.concatemoji):e.wpemoji&&e.twemoji&&(t(e.twemoji),t(e.wpemoji)))}))}((window,document),window._wpemojiSettings);
/* ]]> */
</script>
<link rel='stylesheet' id='mci-footnotes-no-tooltips-pagelayout-none-css' href='https://www.dmitrymakarov.ru/wp-content/plugins/footnotes/css/footnotes-nottbrpl0.min.css?ver=2.7.3' type='text/css' media='all' />
<link rel='stylesheet' id='urvanov_syntax_highlighter-css' href='https://www.dmitrymakarov.ru/wp-content/plugins/urvanov-syntax-highlighter/css/min/urvanov_syntax_highlighter.min.css?ver=2.8.37' type='text/css' media='all' />
<link rel='stylesheet' id='crayon-theme-familiar-my-copy-css' href='https://www.dmitrymakarov.ru/wp-content/uploads/urvanov-syntax-highlighter/themes/familiar-my-copy/familiar-my-copy.css?ver=2.8.37' type='text/css' media='all' />
<link rel='stylesheet' id='crayon-font-consolas-css' href='https://www.dmitrymakarov.ru/wp-content/plugins/urvanov-syntax-highlighter/fonts/consolas.css?ver=2.8.37' type='text/css' media='all' />
<style id='wp-emoji-styles-inline-css' type='text/css'>

	img.wp-smiley, img.emoji {
		display: inline !important;
		border: none !important;
		box-shadow: none !important;
		height: 1em !important;
		width: 1em !important;
		margin: 0 0.07em !important;
		vertical-align: -0.1em !important;
		background: none !important;
		padding: 0 !important;
	}
</style>
<link rel='stylesheet' id='wp-block-library-css' href='https://www.dmitrymakarov.ru/wp-includes/css/dist/block-library/style.min.css?ver=6.6.2' type='text/css' media='all' />
<link rel='stylesheet' id='ultimate_blocks-cgb-style-css-css' href='https://www.dmitrymakarov.ru/wp-content/plugins/ultimate-blocks/dist/blocks.style.build.css?ver=672da51559610' type='text/css' media='all' />
<style id='classic-theme-styles-inline-css' type='text/css'>
/*! This file is auto-generated */
.wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
</style>
<style id='global-styles-inline-css' type='text/css'>
:root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #121212;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #fff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--color--dark-gray: #333;--wp--preset--color--medium-gray: #555;--wp--preset--color--light-gray: #777;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: linear-gradient(135deg,rgb(122,220,180) 0%,rgb(0,208,130) 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange: linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red: linear-gradient(135deg,rgba(255,105,0,1) 0%,rgb(207,46,46) 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray: linear-gradient(135deg,rgb(238,238,238) 0%,rgb(169,184,195) 100%);--wp--preset--gradient--cool-to-warm-spectrum: linear-gradient(135deg,rgb(74,234,220) 0%,rgb(151,120,209) 20%,rgb(207,42,186) 40%,rgb(238,44,130) 60%,rgb(251,105,98) 80%,rgb(254,248,76) 100%);--wp--preset--gradient--blush-light-purple: linear-gradient(135deg,rgb(255,206,236) 0%,rgb(152,150,240) 100%);--wp--preset--gradient--blush-bordeaux: linear-gradient(135deg,rgb(254,205,165) 0%,rgb(254,45,45) 50%,rgb(107,0,62) 100%);--wp--preset--gradient--luminous-dusk: linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%);--wp--preset--gradient--pale-ocean: linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 50%,rgb(51,167,181) 100%);--wp--preset--gradient--electric-grass: linear-gradient(135deg,rgb(202,248,128) 0%,rgb(113,206,126) 100%);--wp--preset--gradient--midnight: linear-gradient(135deg,rgb(2,3,129) 0%,rgb(40,116,252) 100%);--wp--preset--font-size--small: 16px;--wp--preset--font-size--medium: 20px;--wp--preset--font-size--large: 24px;--wp--preset--font-size--x-large: 42px;--wp--preset--font-size--normal: 18px;--wp--preset--font-size--larger: 28px;--wp--preset--spacing--20: 0.44rem;--wp--preset--spacing--30: 0.67rem;--wp--preset--spacing--40: 1rem;--wp--preset--spacing--50: 1.5rem;--wp--preset--spacing--60: 2.25rem;--wp--preset--spacing--70: 3.38rem;--wp--preset--spacing--80: 5.06rem;--wp--preset--shadow--natural: 6px 6px 9px rgba(0, 0, 0, 0.2);--wp--preset--shadow--deep: 12px 12px 50px rgba(0, 0, 0, 0.4);--wp--preset--shadow--sharp: 6px 6px 0px rgba(0, 0, 0, 0.2);--wp--preset--shadow--outlined: 6px 6px 0px -3px rgba(255, 255, 255, 1), 6px 6px rgba(0, 0, 0, 1);--wp--preset--shadow--crisp: 6px 6px 0px rgba(0, 0, 0, 1);}:where(.is-layout-flex){gap: 0.5em;}:where(.is-layout-grid){gap: 0.5em;}body .is-layout-flex{display: flex;}.is-layout-flex{flex-wrap: wrap;align-items: center;}.is-layout-flex > :is(*, div){margin: 0;}body .is-layout-grid{display: grid;}.is-layout-grid > :is(*, div){margin: 0;}:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}.has-black-color{color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;}
:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}
:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}
:root :where(.wp-block-pullquote){font-size: 1.5em;line-height: 1.6;}
</style>
<link rel='stylesheet' id='ub-extension-style-css-css' href='https://www.dmitrymakarov.ru/wp-content/plugins/ultimate-blocks/src/extensions/style.css?ver=6.6.2' type='text/css' media='all' />
<link rel='stylesheet' id='mcluhan-fonts-css' href='https://www.dmitrymakarov.ru/wp-content/themes/mcluhan/assets/css/fonts.css?ver=6.6.2' type='text/css' media='all' />
<link rel='stylesheet' id='fontawesome-css' href='https://www.dmitrymakarov.ru/wp-content/themes/mcluhan/assets/css/font-awesome.css?ver=6.6.2' type='text/css' media='all' />
<link rel='stylesheet' id='mcluhan-style-css' href='https://www.dmitrymakarov.ru/wp-content/themes/mcluhan/style.css?ver=2.1.1' type='text/css' media='all' />
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-includes/js/jquery/jquery.min.js?ver=3.7.1" id="jquery-core-js"></script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-includes/js/jquery/jquery-migrate.min.js?ver=3.4.1" id="jquery-migrate-js"></script>
<script type="text/javascript" id="urvanov_syntax_highlighter_js-js-extra">
/* <![CDATA[ */
var UrvanovSyntaxHighlighterSyntaxSettings = {"version":"2.8.37","is_admin":"0","ajaxurl":"https:\/\/www.dmitrymakarov.ru\/wp-admin\/admin-ajax.php","prefix":"urvanov-syntax-highlighter-","setting":"urvanov-syntax-highlighter-setting","selected":"urvanov-syntax-highlighter-setting-selected","changed":"urvanov-syntax-highlighter-setting-changed","special":"urvanov-syntax-highlighter-setting-special","orig_value":"data-orig-value","debug":""};
var UrvanovSyntaxHighlighterSyntaxStrings = {"copy":"Copied to the clipboard","minimize":"Click To Expand Code"};
/* ]]> */
</script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-content/plugins/urvanov-syntax-highlighter/js/min/urvanov_syntax_highlighter.min.js?ver=2.8.37" id="urvanov_syntax_highlighter_js-js"></script>

	<style>#ub_table-of-contents-0a53a366-d375-4e6b-8343-f2d5b45552ca{ }#ub_table-of-contents-0a53a366-d375-4e6b-8343-f2d5b45552ca .ub_table-of-contents-header{ text-align: left; } #ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f{ }#ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f .wp-block-ub-content-toggle-accordion{ border-color: #f1f1f1; } #ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f .wp-block-ub-content-toggle-accordion-title-wrap{ background-color: #f1f1f1; } #ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f .wp-block-ub-content-toggle-accordion-title{ color: #000000; } #ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f .wp-block-ub-content-toggle-accordion-toggle-wrap{ color: #000000; } .ub-content-toggle-title-ca4a4ea3-f69b-42b6-bef5-8855c3608991 > a{ color: inherit; }#ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974{ }#ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974 .wp-block-ub-content-toggle-accordion{ border-color: #f1f1f1; } #ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974 .wp-block-ub-content-toggle-accordion-title-wrap{ background-color: #f1f1f1; } #ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974 .wp-block-ub-content-toggle-accordion-title{ color: #000000; } #ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974 .wp-block-ub-content-toggle-accordion-toggle-wrap{ color: #000000; } .ub-content-toggle-title-efaac331-7799-452b-96c4-060ef3796ebc > a{ color: inherit; }#ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279{ }#ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279 .wp-block-ub-content-toggle-accordion{ border-color: #f1f1f1; } #ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279 .wp-block-ub-content-toggle-accordion-title-wrap{ background-color: #f1f1f1; } #ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279 .wp-block-ub-content-toggle-accordion-title{ color: #000000; } #ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279 .wp-block-ub-content-toggle-accordion-toggle-wrap{ color: #000000; } .ub-content-toggle-title-b8f3990d-b118-42d4-80cf-a12901a186b7 > a{ color: inherit; }</style>

	
			<!-- Customizer CSS -->

			<style type="text/css">

				body .site-header { background-color:#004235; }.social-menu.desktop { background-color:#004235; }.social-menu a:hover { color:#004235; }.social-menu a.active { color:#004235; }.mobile-menu-wrapper { background-color:#004235; }.social-menu.mobile { background-color:#004235; }.mobile-search.active { background-color:#004235; }
			</style>

			<!-- /Customizer CSS -->

					<script>jQuery( 'html' ).removeClass( 'no-js' ).addClass( 'js' );</script>
		<style type="text/css">.broken_link, a.broken_link {
	text-decoration: line-through;
}</style><style type="text/css" id="custom-background-css">
body.custom-background { background-color: #fff9ef; }
</style>
	<link rel="icon" href="https://www.dmitrymakarov.ru/wp-content/uploads/2021/08/cropped-wp-favicon-512-32x32.png" sizes="32x32" />
<link rel="icon" href="https://www.dmitrymakarov.ru/wp-content/uploads/2021/08/cropped-wp-favicon-512-192x192.png" sizes="192x192" />
<link rel="apple-touch-icon" href="https://www.dmitrymakarov.ru/wp-content/uploads/2021/08/cropped-wp-favicon-512-180x180.png" />
<meta name="msapplication-TileImage" content="https://www.dmitrymakarov.ru/wp-content/uploads/2021/08/cropped-wp-favicon-512-270x270.png" />

<style type="text/css" media="all">
.footnotes_reference_container {margin-top: 24px !important; margin-bottom: 0px !important;}
.footnote_container_prepare > p {border-bottom: 1px solid #aaaaaa !important;}


</style>

	</head>

	<body class="page-template page-template-full-width-page-template page-template-full-width-page-template-php page page-id-6988 page-child parent-pageid-1374 custom-background full-width-template">

		
		<a class="skip-link button" href="#site-content">Перейти к содержимому</a>

		<header class="site-header group">

			
			<p class="site-title"><a href="https://www.dmitrymakarov.ru" class="site-name">Машинное обучение</a></p>

			
			<div class="nav-toggle">
				<div class="bar"></div>
				<div class="bar"></div>
			</div>

			<div class="menu-wrapper">

				<ul class="main-menu desktop">

									</ul>

			</div><!-- .menu-wrapper -->

			
				<div class="social-menu desktop">

					<ul class="social-menu-inner">

						<li class="social-search-wrapper"><a href="https://www.dmitrymakarov.ru/?s="></a></li>

						
					</ul><!-- .social-menu-inner -->

				</div><!-- .social-menu -->

			
		</header><!-- header -->

		<div class="mobile-menu-wrapper">

			<ul class="main-menu mobile">
									<li class="toggle-mobile-search-wrapper"><a href="#" class="toggle-mobile-search">Поиск</a></li>
							</ul><!-- .main-menu.mobile -->

			
		</div><!-- .mobile-menu-wrapper -->

		
			<div class="mobile-search">

				<div class="untoggle-mobile-search"></div>

				
<form role="search" method="get" class="search-form" action="https://www.dmitrymakarov.ru/">
	<label class="screen-reader-text" for="search-form-672da515db7e5">Поиск:</label>
	<input type="search" id="search-form-672da515db7e5" class="search-field" placeholder="Введите запрос" value="" name="s" autocomplete="off" />
	</button>
</form>

				<div class="mobile-results">

					<div class="results-wrapper"></div>

				</div>

			</div><!-- .mobile-search -->

			<div class="search-overlay">

				
<form role="search" method="get" class="search-form" action="https://www.dmitrymakarov.ru/">
	<label class="screen-reader-text" for="search-form-672da515db875">Поиск:</label>
	<input type="search" id="search-form-672da515db875" class="search-field" placeholder="Введите запрос" value="" name="s" autocomplete="off" />
	</button>
</form>

			</div><!-- .search-overlay -->

		
		<main class="site-content" id="site-content">
		<article class="post-6988 page type-page status-publish hentry missing-thumbnail">

			
			<header class="entry-header section-inner">

				<h1 class="entry-title">Массив Numpy</h1>
			</header><!-- .entry-header -->

			<div class="entry-content section-inner">

				
<p class="has-light-gray-color has-text-color"><a href="https://www.dmitrymakarov.ru/">Все курсы</a> &gt; <a href="https://www.dmitrymakarov.ru/python/">Программирование на Питоне</a> &gt; Занятие 9</p>



<figure class="wp-block-image size-full is-resized"><img fetchpriority="high" decoding="async" width="640" height="288" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png" alt="массив Numpy" class="wp-image-8811" style="aspect-ratio:2.221590909090909;width:311px;height:auto" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np.png 640w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np-300x135.png 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/np-600x270.png 600w" sizes="(max-width: 640px) 100vw, 640px" /></figure>



<p>Первое знакомство с библиотекой NumPy (Numerical Python) состоялось на <a href="https://www.dmitrymakarov.ru/intro/vectors-12/#1-umnozhenie-vektorov">двенадцатом занятии</a> вводного курса. Затем мы несколько раз использовали эту библиотеку при построении моделей. Пришло время посвятить ее функционалу отдельный раздел.</p>



<p>Библиотека Numpy является основой для многих других библиотек в Питоне, например, Pandas, Matplotlib, scikit-learn или scikit-image. Главный объект библиотеки &#8212; массив Numpy (Numpy array). О нем мы поговорим сегодня.</p>



<p>На следующем занятии мы изучим <a href="https://www.dmitrymakarov.ru/python/npmath-10/">математические операции</a> над массивами, а через одно &#8212; рассмотрим работу со <a href="https://www.dmitrymakarov.ru/python/random-11/">случайными числами</a>.</p>


<div class="wp-block-ub-table-of-contents-block ub_table-of-contents" id="ub_table-of-contents-0a53a366-d375-4e6b-8343-f2d5b45552ca" data-linktodivider="false" data-showtext="show" data-hidetext="hide" data-scrolltype="auto" data-initiallyhideonmobile="false"
                    data-initiallyshow="true"><div class="ub_table-of-contents-header-container"><div class="ub_table-of-contents-header">
                    <div class="ub_table-of-contents-title"><strong>Содержание занятия</strong></div></div></div><div class="ub_table-of-contents-extra-container"><div class="ub_table-of-contents-container ub_table-of-contents-1-column "><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#0-ponyatie-massiva-numpy>Понятие массива Numpy</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#1-kak-sozdat-massiv-numpy>Как создать массив Numpy</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#2-funktsiya-nparray>Функция np.array()</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#3-funktsiya-nparange>Функция np.arange()</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#4-tip-dannykh-elementov-massiva>Тип данных элементов массива</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#5-svoystva-atributy-massiva>Свойства (атрибуты) массива</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#6-izmereniya-massiva>Измерения массива</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#7-massiv-s-nulevoy-razmernostyu>Массив с нулевой размерностью</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#8-odnomernyy-massiv-vektor>Одномерный массив (вектор)</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#9-dvumernyy-massiv-matritsa>Двумерный массив (матрица)</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#10-trekhmernyy-massiv>Трехмерный массив</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#12-drugie-sposoby-sozdaniya-massiva>Другие способы создания массива</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#13-massiv-iz-nuley>Массив из нулей</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#14-massiv-iz-edinits>Массив из единиц</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#15-massiv-zapolnennyy-zadannym-znacheniem>Массив, заполненный заданным значением</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#16-pustoy-massiv-numpy>Пустой массив Numpy</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#17-funktsiya-nplinspace>Функция np.linspace()</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#18-funktsii-nprandomrand-i-nprandomrandint>Функции np.random.rand() и np.random.randint()</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#19-sozdanie-massiva-iz-funktsii>Создание массива из функции</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#20-matritsa-csr-i-metod-toarray>Матрица csr и метод .toarray()</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#21-indeksy-i-srezy>Индексы и срезы</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#22-indeks-elementa-massiva>Индекс элемента массива</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#23-srez-massiva>Срез массива</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#24-osi-massiva>Оси массива</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#25-massiv-2d>Массив 2D</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#30-massiv-3d>Массив 3D</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#36-operatsii-s-massivami>Операции с массивами</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#37-funktsiya-len>Функция len()</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#38-vkhozhdenie-elementa-v-massiv>Вхождение элемента в массив</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#39-raspakovka-massiva>Распаковка массива</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#40-izmenenie-elementov-massiva>Изменение элементов массива</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#41-sortirovka-massiva-i-obratnyy-poryadok-ego-elementov>Сортировка массива и обратный порядок его элементов</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#45-izmenenie-razmernosti>Изменение размерности</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#52-obedinenie-massivov>Объединение массивов</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#55-filtr-maska-massiva>Фильтр (маска) массива</a></li></ul></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#59-dokumentatsiya>Документация</a></li><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#60-podvedem-itog>Подведем итог</a><ul><li><a href=https://www.dmitrymakarov.ru/python/numpy-09/#61-voprosy-dlya-zakrepleniya>Вопросы для закрепления</a></li></ul></li></ul></div></div></div>


<h2 class="wp-block-heading" id="0-ponyatie-massiva-numpy">Понятие массива Numpy</h2>



<p>Массив Numpy &#8212; это многомерный массив (ndarray, n-dimensional array) данных, над которыми можно быстро и эффективно выполнять множество математических, статистических, логических и других операций.</p>



<p>Приведу пример массива с нулевым измерением, а также одно-, двух- и трехмерного массивов.</p>



<figure class="wp-block-image size-large"><img decoding="async" width="1024" height="321" src="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-1024x321.jpg" alt="пример массива Numpy с нулевым измерением, а также одно-, двух- и трехмерного массивов." class="wp-image-8607" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-1024x321.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-300x94.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-768x241.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-1536x482.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-2048x642.jpg 2048w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-1200x376.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/dims-600x188.jpg 600w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Теперь посмотрим как работать с этими массивами на практике.</p>



<p class="has-text-align-center has-white-color has-text-color has-background" style="background-color:#004235"><a href="https://colab.research.google.com/drive/1ivYBuRp-sw50rVV_rregIivVNL4nuCWd?usp=sharing" target="_blank" rel="noreferrer noopener">Откроем блокнот к этому занятию</a>⧉</p>



<p>Вначале нужно импортировать библиотеку Numpy.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab5f466771897" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab5f466771897-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab5f466771897-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab5f466771897-1"><span class="crayon-c"># библиотеку Numpy принято сокращать как np</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab5f466771897-2"><span class="crayon-r">import</span><span class="crayon-h"> </span><span class="crayon-e">numpy </span><span class="crayon-st">as</span><span class="crayon-h"> </span><span class="crayon-v">np</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<h2 class="wp-block-heading" id="1-kak-sozdat-massiv-numpy">Как создать массив Numpy</h2>



<p>Рассмотрим два варианта создания одномерного массива.</p>



<h3 class="wp-block-heading" id="2-funktsiya-nparray">Функция np.array()</h3>



<p>Во-первых, массив можно создать с помощью <strong>функции np.array()</strong>, которой мы передаем, например, список или кортеж элементов.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab69359721269" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab69359721269-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab69359721269-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab69359721269-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab69359721269-1"><span class="crayon-c"># создадим массив из списка</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab69359721269-2"><span class="crayon-v">arr</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab69359721269-3"><span class="crayon-v">arr</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab6b448165443" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6b448165443-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6b448165443-1">array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab6c114773193" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6c114773193-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab6c114773193-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6c114773193-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6c114773193-1"><span class="crayon-c"># или кортежа</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab6c114773193-2"><span class="crayon-v">arr</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6c114773193-3"><span class="crayon-v">arr</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab6d617576371" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6d617576371-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6d617576371-1">array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="3-funktsiya-nparange">Функция np.arange()</h3>



<p>Кроме того, можно воспользоваться <strong>функцией np.arange()</strong>. Эта функция, как и функция <strong>range()</strong>, с которой <a href="https://www.dmitrymakarov.ru/python/if-and-loops-03/#3-funktsii-range-i-enumerate">мы уже знакомы</a>, создает последовательность элементов. Обязательным параметром является верхняя граница, которая не входит в последовательность.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab6e314432218" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6e314432218-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab6e314432218-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6e314432218-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6e314432218-1"><span class="crayon-c"># создадим последовательность из 10 элементов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab6e314432218-2"><span class="crayon-v">arr</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">10</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6e314432218-3"><span class="crayon-v">arr</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab6f017483767" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab6f017483767-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab6f017483767-1">array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Нижняя граница и шаг обязательными не являются.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab70612842552" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab70612842552-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab70612842552-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab70612842552-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab70612842552-1"><span class="crayon-c"># зададим нижнюю и верхнюю границу и шаг</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab70612842552-2"><span class="crayon-v">arr</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">10</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab70612842552-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab71545754153" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab71545754153-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab71545754153-1">array([2, 4, 6, 8])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Отличие <strong>range()</strong> от функции <strong>np.arange()</strong> заключается в том, что первая не допускает использования типа float.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab72558475815" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab72558475815-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab72558475815-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab72558475815-1"><span class="crayon-c"># создадим список с помощью функций range() и list()</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab72558475815-2"><span class="crayon-k ">list</span><span class="crayon-sy">(</span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5.5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0.5</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<figure class="wp-block-image size-large is-resized"><img decoding="async" width="1024" height="315" src="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-1024x315.jpg" alt="ошибка: значение типа float в списке" class="wp-image-8598" style="width:664px;height:204px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-1024x315.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-300x92.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-768x237.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-1536x473.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-1200x370.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1-600x185.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/float-error-1.jpg 1782w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>При этом в массиве Numpy тип float вполне может использоваться.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab73045053609" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab73045053609-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab73045053609-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5.5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0.5</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab74925693062" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab74925693062-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab74925693062-1">array([2. , 2.5, 3. , 3.5, 4. , 4.5, 5. ])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="4-tip-dannykh-elementov-massiva">Тип данных элементов массива</h3>



<p>Как вы уже вероятно обратили внимание, в массивах тип данных определяется автоматически. При этом при создании массива мы можем задать этот параметр принудительно.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab75744444494" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab75744444494-7">7</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-1"><span class="crayon-c"># создадим массив с элементами типа float</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-2"><span class="crayon-v">arr_f</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-k ">float</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-4"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_f</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-5">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-6"><span class="crayon-c"># тип данных можно посмотреть через атрибут dtype</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab75744444494-7"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_f</span><span class="crayon-sy">.</span><span class="crayon-v">dtype</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab76297865606" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab76297865606-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab76297865606-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab76297865606-1">[0. 1. 2. 3. 4. 5. 6. 7. 8. 9.]</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab76297865606-2">float64</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обратите внимание, в отличие, например, от списков, чаще всего в массивах содержатся элементы <em>только одного типа</em> (в частности, int или float).</p>



<h2 class="wp-block-heading" id="5-svoystva-atributy-massiva">Свойства (атрибуты) массива</h2>



<p>Возьмем массив, который мы создали выше.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab77090616675" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab77090616675-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab77090616675-1"><span class="crayon-v">arr</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab78451637856" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab78451637856-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab78451637856-1">array([2, 4, 6, 8])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Важным свойством (или как правильнее говорить атрибутом) массива является количество его измерений, <strong>ndim</strong>. В данном случае это одномерный массив или вектор.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab79301748121" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab79301748121-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab79301748121-1"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">ndim</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7a244504278" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7a244504278-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7a244504278-1">1</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь, с помощью атрибута <strong>shape</strong>, посмотрим на количество элементов в каждом измерении.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7b118818466" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7b118818466-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7b118818466-1"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7c867159553" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7c867159553-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7c867159553-1">(4,)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обратите внимание, даже когда массив одномерный, результат атрибута <strong>shape</strong> выводится в виде кортежа (на это указывают круглые скобки и запятая после цифры четыре).</p>



<p>Атрибут <strong>size</strong> показывает общее количество элементов во всех измерениях.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7d792317626" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7d792317626-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab7d792317626-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7d792317626-1"><span class="crayon-c"># пока что у нас одно измерение, в котором четыре элемента</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab7d792317626-2"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">size</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7e787658482" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7e787658482-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7e787658482-1">4</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Как уже было сказано выше, атрибут <strong>dtype</strong> показывает тип данных отдельного элемента.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab7f587337735" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab7f587337735-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab7f587337735-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab7f587337735-1"><span class="crayon-c"># в нашем случае - это целое число длиной 64 бита</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab7f587337735-2"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">dtype</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab80574747117" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab80574747117-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab80574747117-1">dtype('int64')</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Атрибут <strong>itemsize</strong> позволяет узнать размер в байтах (один байт состоит из 8 бит) одного элемента. В нашем случае, элемент (число) состоит из 64 бит, что составляет восемь байтов.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab81675639436" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab81675639436-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab81675639436-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab81675639436-1"><span class="crayon-c"># 64 / 8 бит = 8 байтов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab81675639436-2"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">itemsize</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab82443247742" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab82443247742-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab82443247742-1">8</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Общий размер массива в байтах (<strong>nbytes</strong>) позволяет понять, в частности, поместится ли массив в оперативную память компьютера.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab83450339122" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab83450339122-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab83450339122-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab83450339122-1"><span class="crayon-c"># у нас четыре элемента по восемь байтов или 32 байта</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab83450339122-2"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">nbytes</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab84052441122" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab84052441122-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab84052441122-1">32</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Тот же результат можно получить, умножив общее количество элементов на размер одного элемента в байтах.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab85487525983" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab85487525983-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab85487525983-1"><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">size</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">arr</span><span class="crayon-sy">.</span><span class="crayon-v">itemsize</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab86632139543" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab86632139543-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab86632139543-1">32</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h2 class="wp-block-heading" id="6-izmereniya-massiva">Измерения массива</h2>



<p>Как уже было сказано, ndarray (массив Numpy) &#8212; это многомерный массив. Давайте еще раз взглянем на массивы с различными измерениями, добавив только что изученные атрибуты этих массивов.</p>



<figure class="wp-block-image size-large"><img loading="lazy" decoding="async" width="1024" height="500" src="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-1024x500.jpg" alt="нулевой массив, одно-, двух- и трехмерный массивы и их атрибуты" class="wp-image-8180" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-1024x500.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-300x146.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-768x375.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-1200x586.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray-600x293.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/12/ndarray.jpg 1348w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Теперь подробнее поговорим про размерность. Измерения (dimensions) создаются за счёт вложения одного массива в другой с помощью квадратных скобок []. Начнем с массива с нулевой размерностью.</p>



<h3 class="wp-block-heading" id="7-massiv-s-nulevoy-razmernostyu">Массив с нулевой размерностью</h3>



<p>Массив с нулевой размерностью &#8212; это число (скаляр) и квадратных скобок не имеет.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab87096615251" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab87096615251-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab87096615251-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab87096615251-1"><span class="crayon-v">arr_0D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-cn">42</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab87096615251-2"><span class="crayon-v">arr_0D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab88059752453" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab88059752453-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab88059752453-1"><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-cn">42</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Посмотрим на свойства этого массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab89517935550" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab89517935550-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab89517935550-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab89517935550-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab89517935550-1"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_0D</span><span class="crayon-sy">.</span><span class="crayon-v">ndim</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab89517935550-2"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_0D</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab89517935550-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_0D</span><span class="crayon-sy">.</span><span class="crayon-v">size</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8a314202570" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8a314202570-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab8a314202570-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8a314202570-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8a314202570-1">0</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab8a314202570-2">()</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8a314202570-3">1</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Атрибут <strong>shape</strong> показывает отсутствие размерности, а <strong>size</strong> указывает на один элемент в массиве.</p>



<h3 class="wp-block-heading" id="8-odnomernyy-massiv-vektor">Одномерный массив (вектор)</h3>



<p>Вложив несколько массивов с нулевой размерностью в квадратные скобки, мы получим одномерный массив или вектор.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8b266396820" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8b266396820-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab8b266396820-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8b266396820-1"><span class="crayon-v">arr_1D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab8b266396820-2"><span class="crayon-v">arr_1D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8c763343376" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8c763343376-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8c763343376-1">array([1, 2, 3])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Снова воспользуемся атрибутами массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8d550498317" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8d550498317-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab8d550498317-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8d550498317-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8d550498317-1"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_1D</span><span class="crayon-sy">.</span><span class="crayon-v">ndim</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab8d550498317-2"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_1D</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8d550498317-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_1D</span><span class="crayon-sy">.</span><span class="crayon-v">size</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8e690160682" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8e690160682-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab8e690160682-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8e690160682-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8e690160682-1">1</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab8e690160682-2">(3,)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8e690160682-3">3</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="9-dvumernyy-massiv-matritsa">Двумерный массив (матрица)</h3>



<p>Поместив во вторые квадратные скобки, например, два одномерных массива, мы получим двумерный массив или матрицу.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab8f068494527" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8f068494527-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab8f068494527-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab8f068494527-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8f068494527-1"><span class="crayon-c"># с точки зрения синтаксиса - это просто вложенные списки</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab8f068494527-2"><span class="crayon-v">arr_2D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab8f068494527-3"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab90515110012" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab90515110012-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab90515110012-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab90515110012-1">array([[1, 2, 3],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab90515110012-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5, 6]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Посмотрим на свойства.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab91615471530" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab91615471530-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab91615471530-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab91615471530-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab91615471530-1"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">.</span><span class="crayon-v">ndim</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab91615471530-2"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab91615471530-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">.</span><span class="crayon-v">size</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab92183149200" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab92183149200-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab92183149200-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab92183149200-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab92183149200-1">2</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab92183149200-2">(2, 3)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab92183149200-3">6</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Атрибут <strong>size</strong> двумерного массива более интуитивно понятен. В данном случае два элемента одного измерения умножены на три элемента второго.</p>



<p>Добавлю, что с точки зрения Numpy матрица с одной строкой или одним столбцом &#8212; это разные объекты. Начнем с матрицы, которая имеет три вектора по одному элементу.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab93052582937" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab93052582937-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab93052582937-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab93052582937-1"><span class="crayon-v">column</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab93052582937-2"><span class="crayon-v">column</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab94729659021" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab94729659021-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab94729659021-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab94729659021-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab94729659021-1">array([[1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab94729659021-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab94729659021-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [3]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab95733996846" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab95733996846-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab95733996846-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab95733996846-1"><span class="crayon-c"># посмотрим на размерность</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab95733996846-2"><span class="crayon-v">column</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab96467770306" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab96467770306-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab96467770306-1">(3, 1)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь наоборот, создадим матрицу с одной строкой, в которой три элемента.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab97726247621" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab97726247621-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab97726247621-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab97726247621-1"><span class="crayon-v">row</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab97726247621-2"><span class="crayon-v">row</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab98576453813" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab98576453813-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab98576453813-1">array([[1, 2, 3]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab99329650841" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab99329650841-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab99329650841-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab99329650841-1"><span class="crayon-c"># размерность будет иной</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab99329650841-2"><span class="crayon-v">row</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9a237458338" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9a237458338-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9a237458338-1">(1, 3)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="10-trekhmernyy-massiv">Трехмерный массив</h3>



<p>Теперь создадим трехмерный массив, внутри которого будут два двумерных массива 2 х 3. Общее количество элементов будет равно двенадцати (2 х 2 х 3). Визуально это можно представить как стек (наложение) двух матриц.</p>


<div class="wp-block-image">
<figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="750" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-1024x750.jpg" alt="пример трехмерного массива и атрибут shape" class="wp-image-8756" style="width:504px;height:369px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-1024x750.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-300x220.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-768x563.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-1200x879.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray-600x440.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/3darray.jpg 1445w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure></div>


<p>При этом, вместо того чтобы вручную прописывать все 12 значений, мы последовательно воспользуемся функцией <strong>np.arange()</strong> и методом <strong>np.reshape()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9b726448506" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9b726448506-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9b726448506-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9b726448506-1"><span class="crayon-v">arr_3D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9b726448506-2"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9c955313624" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9c955313624-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9c955313624-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9c955313624-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9c955313624-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9c955313624-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9c955313624-1">array([[[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9c955313624-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9c955313624-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9c955313624-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9c955313624-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 9, 10, 11]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Функция <strong>np.arange()</strong>, как мы уже видели выше, создаст одномерный массив из 12 элементов, а метод <strong>np.reshape()</strong> распределит их по измерениям. Выведем атрибуты.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9d008234184" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9d008234184-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9d008234184-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9d008234184-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9d008234184-1"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-v">ndim</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9d008234184-2"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9d008234184-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-v">size</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9e557022043" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9e557022043-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9e557022043-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9e557022043-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9e557022043-1">3</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9e557022043-2">(2, 2, 3)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9e557022043-3">12</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p class="has-background" style="background-color:#ffe8c4">Обратите внимание, атрибут <strong>shape</strong> сначала выводит размерность внешнего измерения, в нем <em>две</em> матрицы. Далее в каждую матрицу вложены <em>два</em> одномерных вектора. В каждом векторе по <em>три</em> элемента.</p>



<p>Аналогичным образом создаются четырехмерные массивы, а также массивы с большим количеством измерений.</p>



<h4 class="wp-block-heading" id="11-ponyatie-tenzora">Понятие тензора</h4>



<p>Добавлю, что в математике n-мерный массив называется тензором, а числа (скаляры), векторы и матрицы являются его частными случаями для нуля, одного и двух измерений соответственно.</p>


<div class="wp-block-image">
<figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="620" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor-1024x620.jpg" alt="виды тензоров: скаляр, вектор, матрица" class="wp-image-8761" style="aspect-ratio:1.6583629893238434;width:366px;height:auto" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor-1024x620.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor-300x182.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor-768x465.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor-600x363.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ndim-tensor.jpg 1110w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure></div>


<h2 class="wp-block-heading" id="12-drugie-sposoby-sozdaniya-massiva">Другие способы создания массива</h2>



<h3 class="wp-block-heading" id="13-massiv-iz-nuley">Массив из нулей</h3>



<p>Иногда бывает полезно создать массив, все элементы которого равны нулю. Для этого используется функция <strong>np.zeros()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ab9f635832387" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ab9f635832387-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ab9f635832387-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ab9f635832387-1"><span class="crayon-c"># ей мы можем передать одно значение для создания одномерного массива</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ab9f635832387-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-cn">5</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba0677591166" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba0677591166-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba0677591166-1">array([0., 0., 0., 0., 0.])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba1759436345" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba1759436345-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba1759436345-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba1759436345-1"><span class="crayon-c"># или кортеж из чисел для указания количества нулей в каждом измерении</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba1759436345-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba2824798143" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba2824798143-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba2824798143-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba2824798143-1">array([[0., 0., 0.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba2824798143-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0., 0., 0.]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="14-massiv-iz-edinits">Массив из единиц</h3>



<p>В тех случаях когда нужно создать массив, заполненный единицами, можно воспользоваться функцией <strong>np.ones()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba3048452075" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba3048452075-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba3048452075-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba3048452075-1"><span class="crayon-c"># создадим трехмерный массив</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba3048452075-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">ones</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba4692098821" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba4692098821-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba4692098821-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba4692098821-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba4692098821-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba4692098821-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba4692098821-1">array([[[1., 1., 1.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba4692098821-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[1., 1., 1.]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba4692098821-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba4692098821-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[1., 1., 1.],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba4692098821-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[1., 1., 1.]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="15-massiv-zapolnennyy-zadannym-znacheniem">Массив, заполненный заданным значением</h3>



<p>Функция <strong>np.full()</strong> создает массив, заполненный заданным значением.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba5150421133" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba5150421133-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba5150421133-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba5150421133-1"><span class="crayon-c"># создадим матрицу 2 х 3 и заполним ее цифрой четыре</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba5150421133-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">full</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba6858039798" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba6858039798-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba6858039798-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba6858039798-1">array([[4, 4, 4],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba6858039798-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 4, 4]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<h3 class="wp-block-heading" id="16-pustoy-massiv-numpy">Пустой массив Numpy</h3>



<p>В отличие от предыдущих инструментов, функция <strong>np.empty()</strong> возвращает массив заданной размерности, но без инициализации его значений. Другими словами, пустой массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba7882095142" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba7882095142-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba7882095142-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba7882095142-1"><span class="crayon-c"># создадим пустую матрицу 3 х 2</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba7882095142-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">empty</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba8375916086" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba8375916086-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba8375916086-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba8375916086-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba8375916086-1">array([[4.65552661e-310, 0.00000000e+000],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba8375916086-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0.00000000e+000, 0.00000000e+000],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba8375916086-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0.00000000e+000, 0.00000000e+000]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Кроме того, любой массив Numpy можно преобразовать в описанные выше массивы с помощью функций <strong>np.zeros_like()</strong>, <strong>np.ones_like()</strong>, <strong>np.full_like()</strong> и <strong>np.empty_like()</strong>. Приведу пример для <strong>np.zeros_like()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aba9452476350" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba9452476350-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aba9452476350-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aba9452476350-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba9452476350-1"><span class="crayon-c"># создадим массив 2 x 3 с числами от 1 до 6</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aba9452476350-2"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aba9452476350-3"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abaa631572034" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abaa631572034-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abaa631572034-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abaa631572034-1">array([[1, 2, 3],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abaa631572034-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5, 6]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abab230482766" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abab230482766-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abab230482766-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abab230482766-1"><span class="crayon-c"># и превратим его в массив с нулями</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abab230482766-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros_like</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abac660154610" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abac660154610-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abac660154610-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abac660154610-1">array([[0, 0, 0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abac660154610-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0, 0, 0]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Примеры работы с тремя оставшимися функциями можно посмотреть в <a href="https://colab.research.google.com/drive/1ivYBuRp-sw50rVV_rregIivVNL4nuCWd#scrollTo=xf3CFNnHIY0G" target="_blank" rel="noreferrer noopener">блокноте</a>⧉.</p>



<h3 class="wp-block-heading" id="17-funktsiya-nplinspace">Функция np.linspace()</h3>



<p>Функция <strong>np.linspace()</strong> позволяет указать диапазон начального и конечного значений, а также количество равноудаленных точек внутри этого диапазона (<em>включая</em> начальное и конечное значения).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abad987291587" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abad987291587-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abad987291587-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abad987291587-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abad987291587-1"><span class="crayon-c"># создадим диапазон от 0 до 0,9 и</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abad987291587-2"><span class="crayon-c"># разделим его на десять точек, включая 0 и 0,9</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abad987291587-3"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">linspace</span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0.9</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">10</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abae338611795" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abae338611795-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abae338611795-1">array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обратите внимание, функция <strong>np.linspace()</strong> сама определяет, где расставить точки. Нам нужно лишь указать их количество. Этим она отличается от функции <strong>np.arange()</strong>, в которой мы указываем шаг в пределах заданного диапазона. </p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abaf179759269" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abaf179759269-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abaf179759269-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abaf179759269-1"><span class="crayon-c"># с функцией np.arange мы точно знаем, где будут расположены точки</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abaf179759269-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0.1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb0756983200" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb0756983200-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb0756983200-1">array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Функцию <strong>np.linspace()</strong> удобно использовать для построения графиков функций.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb1542713833" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-11">11</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-12">12</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-13">13</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-14">14</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-15">15</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-16">16</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-17">17</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-18">18</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-19">19</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-20">20</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-21">21</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-22">22</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb1542713833-23">23</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-1"><span class="crayon-c"># импортируем библиотеку matplotlib</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-2"><span class="crayon-r">import</span><span class="crayon-h"> </span><span class="crayon-v">matplotlib</span><span class="crayon-sy">.</span><span class="crayon-e">pyplot </span><span class="crayon-st">as</span><span class="crayon-h"> </span><span class="crayon-i">plt</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-4"><span class="crayon-c"># зададим размер графика в дюймах</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-5"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">figure</span><span class="crayon-sy">(</span><span class="crayon-v">figsize</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-7"><span class="crayon-c"># зададим интервал, например, от -5 до 5 и сформируем на нем 5000 точек</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-8"><span class="crayon-c"># это будут наши координаты по оси x</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-9"><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">linspace</span><span class="crayon-sy">(</span><span class="crayon-o">-</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5000</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-10">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-11"><span class="crayon-c"># по оси y отложим квадрат этих точек</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-12"><span class="crayon-v">y</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">x</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-cn">2</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-13">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-14"><span class="crayon-c"># создадим сетку</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-15"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">grid</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-16">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-17"><span class="crayon-c"># выведем кривую и подписи на графике</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-18"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">plot</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">y</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-19"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">xlabel</span><span class="crayon-sy">(</span><span class="crayon-s">'x'</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">fontsize</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">14</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-20"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">ylabel</span><span class="crayon-sy">(</span><span class="crayon-s">'y'</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">fontsize</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">14</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-21">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-22"><span class="crayon-c"># результатом будет парабола</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb1542713833-23"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">show</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0006 seconds] -->
</div>



<figure class="wp-block-image size-full"><img loading="lazy" decoding="async" width="498" height="375" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/parabola.png" alt="парабола, созданная с помощью функции np.linspace()" class="wp-image-8817" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/parabola.png 498w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/parabola-300x226.png 300w" sizes="(max-width: 498px) 100vw, 498px" /></figure>



<p>В качестве примера выведем первые 10 точек, созданные функцией <strong>np.linspace()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb2700207152" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb2700207152-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb2700207152-1"><span class="crayon-v">x</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-cn">10</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb3234858359" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb3234858359-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb3234858359-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb3234858359-1">array([-5.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; , -4.9979996, -4.9959992, -4.9939988, -4.9919984,</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb3234858359-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; -4.989998 , -4.9879976, -4.9859972, -4.9839968, -4.9819964])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="18-funktsii-nprandomrand-i-nprandomrandint">Функции np.random.rand() и np.random.randint()</h3>



<p>Массивы можно также создавать с помощью функций, генерирующих псевдослучайные числа. В частности, функция <strong>np.random.rand()</strong> создает массив заданной размерности, заполненный числами от 0 до 1 (единица в диапазон не входит).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb4227707732" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb4227707732-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb4227707732-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">random</span><span class="crayon-sy">.</span><span class="crayon-e">rand</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb5815549391" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb5815549391-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb5815549391-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb5815549391-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb5815549391-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb5815549391-1">array([[0.13506003, 0.50671081, 0.48772983],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb5815549391-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0.93478513, 0.31008048, 0.96621122],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb5815549391-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0.7404316 , 0.81168816, 0.94700116],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb5815549391-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0.18212183, 0.92247344, 0.2120635 ]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Функция <strong>np.random.randint()</strong> формирует массив целых чисел в заданном диапазоне (верхняя граница не входит в диапазон) и с заданной размерностью.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb6600131252" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb6600131252-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb6600131252-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb6600131252-1"><span class="crayon-c"># создадим массив размерностью 2 x 3 x 2 c числами [-3, 3)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb6600131252-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">random</span><span class="crayon-sy">.</span><span class="crayon-e">randint</span><span class="crayon-sy">(</span><span class="crayon-o">-</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">size</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb7103286284" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb7103286284-7">7</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-1">array([[[-1,&nbsp;&nbsp;0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[-1,&nbsp;&nbsp;2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[-1, -1]],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-4">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[-2,&nbsp;&nbsp;0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-6">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 0,&nbsp;&nbsp;0],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb7103286284-7">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[-2,&nbsp;&nbsp;1]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Более подробно с этими и другими похожими функциями мы познакомимся на занятии по <a href="https://www.dmitrymakarov.ru/python/random-11/">модулю random</a>.</p>



<h3 class="wp-block-heading" id="19-sozdanie-massiva-iz-funktsii">Создание массива из функции</h3>



<p>Помимо вышеупомянутых способов массив можно создавать с помощью <a href="https://www.dmitrymakarov.ru/python/functions-06/#3-sobstvennye-funktsii-v-pitone">собственных функций</a>. Для того чтобы понять, как это работает, вначале давайте вспомним <a href="https://www.dmitrymakarov.ru/intro/cv-18/#0-rabota-s-izobrazheniyami-v-pitone">координаты</a> массива Numpy.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="829" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-1024x829.jpg" alt="координаты элементов массива Numpy" class="wp-image-8830" style="width:550px;height:445px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-1024x829.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-300x243.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-768x622.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-1200x972.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij-600x486.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/ij.jpg 1436w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Функция <strong>np.fromfunction()</strong> берет координаты (i, j) каждой ячейки и передает их в собственную функцию. Посмотрим, как это работает на практике.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb8672239475" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb8672239475-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb8672239475-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb8672239475-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abb8672239475-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb8672239475-1"><span class="crayon-c"># создадим собственную функцию, которая принимает два числа</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb8672239475-2"><span class="crayon-c"># и возводит первое число в степень второго</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb8672239475-3"><span class="crayon-r">def</span><span class="crayon-h"> </span><span class="crayon-e">power</span><span class="crayon-sy">(</span><span class="crayon-v">i</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">j</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abb8672239475-4"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-st">return</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-o">*</span><span class="crayon-h"> </span><span class="crayon-v">j</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Теперь применим эту функцию к каждой ячейке (координатам) массива с размерностью (3, 3).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abb9712132207" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abb9712132207-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abb9712132207-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">fromfunction</span><span class="crayon-sy">(</span><span class="crayon-v">power</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abba921989986" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abba921989986-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abba921989986-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abba921989986-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abba921989986-1">[[1. 0. 0.]</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abba921989986-2"> [1. 1. 1.]</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abba921989986-3"> [1. 2. 4.]]</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>В <strong>np.fromfunction()</strong> можно передать и <strong>lambda-функцию</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abbb649037849" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbb649037849-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abbb649037849-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbb649037849-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbb649037849-1"><span class="crayon-c"># напишем lambda-функцию, которая принимает два числа и </span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abbb649037849-2"><span class="crayon-c"># проверяет равны ли они (тогда она выводит True) или нет (тогда False) </span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbb649037849-3"><span class="crayon-r">lambda</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">j</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-v">i</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">j</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abbc603945200" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbc603945200-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abbc603945200-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbc603945200-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbc603945200-1">array([[ True, False, False],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abbc603945200-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [False,&nbsp;&nbsp;True, False],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbc603945200-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [False, False,&nbsp;&nbsp;True]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="20-matritsa-csr-i-metod-toarray">Матрица csr и метод .toarray()</h3>



<p>Кроме этого в случае если данные хранятся в формате csr (сжатое хранения строкой, compressed sparse row), то мы можем преобразовать их обратно в массив Numpy с помощью <strong>метода .toarray()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abbd395571472" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbd395571472-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abbd395571472-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbd395571472-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbd395571472-1"><span class="crayon-c"># создадим матрицу с преобладанием нулевых значений</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abbd395571472-2"><span class="crayon-v">A</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbd395571472-3"><span class="crayon-v">A</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abbe195096589" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbe195096589-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abbe195096589-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbe195096589-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbe195096589-1">array([[2, 0, 0, 1, 0, 0, 0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abbe195096589-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0, 0, 3, 0, 0, 2, 0],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbe195096589-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0, 0, 0, 1, 0, 0, 0]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Долю нулевых значений несложно посчитать через функцию <strong>np.count_nonzero()</strong> и атрибут <strong>size</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abbf958064182" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abbf958064182-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abbf958064182-1"><span class="crayon-cn">1.0</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">count_nonzero</span><span class="crayon-sy">(</span><span class="crayon-v">A</span><span class="crayon-sy">)</span><span class="crayon-h"> </span><span class="crayon-o">/</span><span class="crayon-h"> </span><span class="crayon-v">A</span><span class="crayon-sy">.</span><span class="crayon-v">size</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc0522994748" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc0522994748-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc0522994748-1">0.7619047619047619</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Преобразуем матрицу в формат csr.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc1382166147" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc1382166147-6">6</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-1"><span class="crayon-c"># импортируем функцию csr_matrix()</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-2"><span class="crayon-st">from</span><span class="crayon-h"> </span><span class="crayon-v">scipy</span><span class="crayon-sy">.</span><span class="crayon-e">sparse </span><span class="crayon-r">import</span><span class="crayon-h"> </span><span class="crayon-v">csr</span><span class="crayon-sy">_</span>matrix</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-4"><span class="crayon-c"># и применим ее к матрице А</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-5"><span class="crayon-v">B</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-e">csr_matrix</span><span class="crayon-sy">(</span><span class="crayon-v">A</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc1382166147-6"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">B</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc2147308436" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc2147308436-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc2147308436-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc2147308436-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc2147308436-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc2147308436-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc2147308436-1">&nbsp;&nbsp;(0, 0)&nbsp;&nbsp;&nbsp;&nbsp;2</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc2147308436-2">&nbsp;&nbsp;(0, 3)&nbsp;&nbsp;&nbsp;&nbsp;1</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc2147308436-3">&nbsp;&nbsp;(1, 2)&nbsp;&nbsp;&nbsp;&nbsp;3</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc2147308436-4">&nbsp;&nbsp;(1, 5)&nbsp;&nbsp;&nbsp;&nbsp;2</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc2147308436-5">&nbsp;&nbsp;(2, 3)&nbsp;&nbsp;&nbsp;&nbsp;1</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Вернем матрицу csr обратно в формат массива Numpy.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc3791412468" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc3791412468-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc3791412468-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc3791412468-1"><span class="crayon-v">C</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">B</span><span class="crayon-sy">.</span><span class="crayon-e">toarray</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc3791412468-2"><span class="crayon-v">C</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc4428200408" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc4428200408-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc4428200408-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc4428200408-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc4428200408-1">array([[2, 0, 0, 1, 0, 0, 0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc4428200408-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0, 0, 3, 0, 0, 2, 0],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc4428200408-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [0, 0, 0, 1, 0, 0, 0]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Напомню, что с форматом csr мы впервые познакомились, когда изучали <a href="https://www.dmitrymakarov.ru/intro/recommender-17/#5-pro-razrezhennye-matritsy-i-vysokuyu-razmernost">рекомендательные системы</a>.  Метод <strong>.toarray()</strong> мы активно применяли на занятии по <a href="https://www.dmitrymakarov.ru/intro/topic-identification-19/">обработке естественного языка</a>.</p>



<h2 class="wp-block-heading" id="21-indeksy-i-srezy">Индексы и срезы</h2>



<h3 class="wp-block-heading" id="22-indeks-elementa-massiva">Индекс элемента массива</h3>



<p>Подобно <a href="https://www.dmitrymakarov.ru/python/list-tuple-set-07/#2-indeks-i-srez-spiska">спискам</a>, к элементам массива можно получить доступ по их индексу. Главное отличие &#8212; необходимо учитывать наличие измерений. Вначале рассмотрим индексы массива на схеме.</p>



<figure class="wp-block-image size-large"><img loading="lazy" decoding="async" width="1024" height="434" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-1024x434.jpg" alt="двумерный массив и индекс его элементов" class="wp-image-8852" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-1024x434.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-300x127.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-768x326.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-1536x651.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-2048x868.jpg 2048w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-1200x509.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/arrind-600x254.jpg 600w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Если мы хотим получить доступ к элементу массива, то необходимо вначале указать индекс внешнего измерения (оно будет первым по счету в выводе атрибута shape), а затем индекс внутреннего.</p>



<p class="has-background" style="background-color:#ffe8c4">Другими словами, мы двигаемся как бы снаружи вовнутрь, перемещаясь из одного измерения в другое.</p>



<p>Посмотрим, как это реализовать на Питоне. Создадим двумерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc5633645863" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc5633645863-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc5633645863-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc5633645863-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc5633645863-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc6527257630" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc6527257630-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc6527257630-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc6527257630-1">array([[1, 2, 3],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc6527257630-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5, 6]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Посмотрим на измерения и количество элементов в каждом из них.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc7349457320" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc7349457320-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc7349457320-1"><span class="crayon-v">a</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc8645539174" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc8645539174-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc8645539174-1">(2, 3)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Выведем первый элемент первого (внешнего) измерения.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abc9312371998" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abc9312371998-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abc9312371998-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abc9312371998-1"><span class="crayon-c"># первый элемент представляет собой вектор</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abc9312371998-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abca399596722" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abca399596722-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abca399596722-1">array([1, 2, 3])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Второй индекс позволяет обратиться, например, к первому элементу первого вектора.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abcb220489033" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abcb220489033-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abcb220489033-1"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abcc501889576" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abcc501889576-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abcc501889576-1">1</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь выведем значение шесть.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abcd049952615" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abcd049952615-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abcd049952615-1"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abce300565870" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abce300565870-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abce300565870-1">6</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="23-srez-massiva">Срез массива</h3>



<p>В массиве Numpy доступны и срезы (slice). Срез <em>одномерного массива</em> очень похож на срез списка.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abcf548682687" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abcf548682687-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abcf548682687-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abcf548682687-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abcf548682687-1"><span class="crayon-c"># создадим одномерный массив</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abcf548682687-2"><span class="crayon-v">b</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abcf548682687-3"><span class="crayon-v">b</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abd0992415030" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abd0992415030-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abd0992415030-1">array([1, 2, 3, 4, 5, 6, 7, 8])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Возьмем каждый второй элемент в интервале с 1-го по 6-й индекс.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abd1181398417" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abd1181398417-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abd1181398417-1"><span class="crayon-v">b</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-o">:</span><span class="crayon-cn">6</span><span class="crayon-o">:</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abd2382128364" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abd2382128364-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abd2382128364-1">array([2, 4, 6])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Посмотрим на схему.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="536" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-1024x536.jpg" alt="срез массива Numpy" class="wp-image-8855" style="width:559px;height:292px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-1024x536.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-300x157.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-768x402.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-1536x804.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-1200x628.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices-600x314.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/slices.jpg 1765w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Когда измерений больше одного, внутри квадратных скобок измерения отделяются запятой. Создадим <em>двумерный массив</em>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abd3195342013" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abd3195342013-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abd3195342013-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abd3195342013-1"><span class="crayon-v">c</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abd3195342013-2"><span class="crayon-v">c</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe4520829450" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe4520829450-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abe4520829450-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe4520829450-1">array([[1, 2, 3, 4],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abe4520829450-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [5, 6, 7, 8]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Сделаем срез из первой строки (внешнее измерение) и первых двух столбцов (внутреннее измерение).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe5574778078" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe5574778078-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abe5574778078-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe5574778078-1"><span class="crayon-c"># 0 указывает на первую строку, диапазон :2 - на первые два столбца</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abe5574778078-2"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe6675173045" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe6675173045-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe6675173045-1">array([1, 2])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Если нужно взять все элементы одного из измерений, достаточно поставить двоеточие без указания индекса.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe7782076904" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe7782076904-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abe7782076904-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe7782076904-1"><span class="crayon-c"># возьмем обе строки во втором столбце</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abe7782076904-2"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe8863925096" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe8863925096-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe8863925096-1">array([2, 6])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>С помощью среза можно вывести конкретный элемент массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abe9504448631" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abe9504448631-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abe9504448631-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abe9504448631-1"><span class="crayon-c"># выведем элемент в первой строке и первом столбце</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abe9504448631-2"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abea126010878" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abea126010878-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abea126010878-1">1</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Другими словами, 
			<span id="urvanov-syntax-highlighter-672da5153abeb091634038" class="urvanov-syntax-highlighter-syntax urvanov-syntax-highlighter-syntax-inline  crayon-theme-familiar-my-copy crayon-theme-familiar-my-copy-inline urvanov-syntax-highlighter-font-consolas" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important;"><span class="crayon-pre urvanov-syntax-highlighter-code" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">==</span><span class="crayon-h"> </span><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></span></span>.</p>



<p class="has-background" style="background-color:#ffe8c4">Кроме того, обратите внимание, что индекс в формате <strong>array[i, j]</strong> и координаты элементов массива, которые мы рассмотрели ранее, это одно и то же.</p>



<p>Допускаются срезы с отрицательным индексом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abec123945879" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abec123945879-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abec123945879-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abec123945879-1"><span class="crayon-c"># выведем элемент в последней строке и последнем столбце</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abec123945879-2"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abed874849050" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abed874849050-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abed874849050-1">8</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Рассмотрим более сложный пример. Возьмем всю вторую строку 
			<span id="urvanov-syntax-highlighter-672da5153abee639347789" class="urvanov-syntax-highlighter-syntax urvanov-syntax-highlighter-syntax-inline  crayon-theme-familiar-my-copy crayon-theme-familiar-my-copy-inline urvanov-syntax-highlighter-font-consolas" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important;"><span class="crayon-pre urvanov-syntax-highlighter-code" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></span></span> и каждый второй столбец 
			<span id="urvanov-syntax-highlighter-672da5153abef258657705" class="urvanov-syntax-highlighter-syntax urvanov-syntax-highlighter-syntax-inline  crayon-theme-familiar-my-copy crayon-theme-familiar-my-copy-inline urvanov-syntax-highlighter-font-consolas" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important;"><span class="crayon-pre urvanov-syntax-highlighter-code" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></span></span>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf0380191072" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf0380191072-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf0380191072-1"><span class="crayon-v">c</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">::</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf1577505215" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf1577505215-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf1577505215-1">array([5, 7])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь создадим <em>массив с тремя измерениями</em>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf2199914873" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf2199914873-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf2199914873-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf2199914873-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf2199914873-1"><span class="crayon-c"># -1 означает, что Питон сам рассчитает количество элементов в этом измерении</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf2199914873-2"><span class="crayon-v">d</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">16</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf2199914873-3"><span class="crayon-v">d</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf3143348263" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf3143348263-11">11</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-1">array([[[ 0,&nbsp;&nbsp;1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 2,&nbsp;&nbsp;3]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 4,&nbsp;&nbsp;5],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 6,&nbsp;&nbsp;7]],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-7">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 8,&nbsp;&nbsp;9],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-8">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[10, 11]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-9">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-10">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[12, 13],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf3143348263-11">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[14, 15]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Можно сказать, что наш 3D массив состоит из четырех матриц 2 x 2.</p>



<p>Вначале выведем значение десять. Если идти снаружи вовнутрь, получается, что это третья матрица [2], второй вектор [1] и первый элемент [0].</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf4004730723" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf4004730723-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf4004730723-1"><span class="crayon-v">d</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf5157125844" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf5157125844-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf5157125844-1">10</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Для срезов понадобится две запятых.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf6624482161" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf6624482161-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf6624482161-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf6624482161-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf6624482161-1"><span class="crayon-c"># выведем третью и четвертую матрицу [2:]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf6624482161-2"><span class="crayon-c"># и в них вторую строку [1] и все столбцы [:]</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf6624482161-3"><span class="crayon-v">d</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf7691242810" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf7691242810-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf7691242810-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf7691242810-1">array([[10, 11],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf7691242810-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [14, 15]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Если указать только один срез, мы будем работать только во внешнем измерении (с четырьмя матрицами).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf8546481504" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf8546481504-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf8546481504-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf8546481504-1"><span class="crayon-c"># выведем первые две матрицы массива</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf8546481504-2"><span class="crayon-v">d</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abf9140657778" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf9140657778-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf9140657778-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf9140657778-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abf9140657778-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abf9140657778-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf9140657778-1">array([[[0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf9140657778-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[2, 3]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf9140657778-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abf9140657778-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[4, 5],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abf9140657778-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[6, 7]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Прежде чем завершить разговор про срезы, выведем первые строки каждой матрицы.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abfa375306561" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfa375306561-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfa375306561-1"><span class="crayon-v">d</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-h"> </span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abfb664555274" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfb664555274-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abfb664555274-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfb664555274-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abfb664555274-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfb664555274-1">array([[ 0,&nbsp;&nbsp;1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abfb664555274-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 4,&nbsp;&nbsp;5],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfb664555274-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 8,&nbsp;&nbsp;9],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abfb664555274-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [12, 13]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<h2 class="wp-block-heading" id="24-osi-massiva">Оси массива</h2>



<p>С концепцией измерения массива тесно связано понятие оси (axis, множественное число &#8212; axes). У массива столько же осей, сколько и измерений. Мы уже столкнулись с осями двух и трехмерного массивов, когда <a href="https://www.dmitrymakarov.ru/intro/cv-18/#0-rabota-s-izobrazheniyami-v-pitone">работали с изображениями</a>.</p>



<p>Рассмотрим этот вопрос ещё раз.</p>



<h3 class="wp-block-heading" id="25-massiv-2d">Массив 2D</h3>



<p>В двумерном массиве два измерения и соответственно две оси.</p>



<figure class="wp-block-image size-full is-resized"><img loading="lazy" decoding="async" width="890" height="623" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis-2D.jpg" alt="оси двумерного массива" class="wp-image-8784" style="width:320px;height:224px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis-2D.jpg 890w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis-2D-300x210.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis-2D-768x538.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis-2D-600x420.jpg 600w" sizes="(max-width: 890px) 100vw, 890px" /></figure>



<p class="has-background" style="background-color:#ffe8c4">В документации Numpy существует такое понятие как первая и последняя ось. Применительно к двумерному массиву, ось 0 &#8212; это первая ось, а ось 1 &#8212; последняя.</p>



<p>Многие, в частности, математические и статистические методы в Numpy предполагают указание параметра оси. Продолжим работу с приведенным выше двумерным массивом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abfc990417856" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfc990417856-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abfc990417856-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfc990417856-1"><span class="crayon-v">arr_2D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abfc990417856-2"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abfd241711760" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfd241711760-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153abfd241711760-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfd241711760-1">array([[1, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153abfd241711760-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [3, 4]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="26-slozhenie-vdol-pervoy-osi-axis-0">Сложение вдоль первой оси (axis = 0)</h4>



<p>Найдем сумму по столбцам (вдоль оси 0).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abfe219303774" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abfe219303774-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abfe219303774-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153abff441161999" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153abff441161999-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153abff441161999-1">array([4, 6])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<figure class="wp-block-image size-full is-resized"><img loading="lazy" decoding="async" width="776" height="821" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s0.jpg" alt="сложение элементов двумерного массива вдоль оси 0" class="wp-image-8790" style="width:277px;height:293px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s0.jpg 776w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s0-284x300.jpg 284w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s0-768x813.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s0-600x635.jpg 600w" sizes="(max-width: 776px) 100vw, 776px" /></figure>



<h4 class="wp-block-heading" id="27-slozhenie-vdol-vtoroy-osi-axis-1">Сложение вдоль второй оси (axis = 1)</h4>



<p>Теперь найдем сумму по строкам (вдоль оси 1).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac00401010666" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac00401010666-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac00401010666-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac01873565854" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac01873565854-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac01873565854-1">array([3, 7])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="620" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1-1024x620.jpg" alt="сложение элементов двумерного массива вдоль оси 1" class="wp-image-8791" style="width:388px;height:234px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1-1024x620.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1-300x182.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1-768x465.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1-600x363.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s1.jpg 1035w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p class="has-background" style="background-color:#ffe8c4">Обратите внимание, хотя axis = 0 принято ассоциировать со строками двумерного массива, сложение происходит <em>вдоль</em> вертикальной оси или по столбцам. Параметр axis = 1, отвечающий за столбцы, наоборот предполагает сложение <em>вдоль</em> горизонтальной оси по строкам.</p>



<p>При таких операциях говорят, что мы агрегируем (aggregate) данные и сворачиваем (collapse) или сокращаем (reduce) измерения вдоль определенной оси. И действительно, в каждой из описанных выше операций двумерный массив превратился в одномерный.</p>



<h4 class="wp-block-heading" id="28-slozhenie-vdol-obeikh-osey-axis-0-1">Сложение вдоль обеих осей (axis = (0, 1))</h4>



<p>Если в параметр axis передать кортеж с указанием обеих осей (0, 1), сумма будет рассчитана сначала вдоль оси 0, затем вдоль оси 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac02644022862" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac02644022862-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac02644022862-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac03393477041" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac03393477041-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac03393477041-1">10</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="838" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01-1024x838.jpg" alt="сложение элементов двумерного массива вдоль осей 0 и 1" class="wp-image-8792" style="width:430px;height:352px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01-1024x838.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01-300x246.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01-768x629.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01-600x491.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/s01.jpg 1115w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Если параметр axis не указывать, сумма также будет рассчитана по всем элементам массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac07027768199" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac07027768199-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac07027768199-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac0c227430199" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac0c227430199-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac0c227430199-1">10</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>В этом случае &#171;под капотом&#187; стоит значение по умолчанию axis = None.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac0e219216895" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac0e219216895-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac0e219216895-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-t">None</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac0f190834405" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac0f190834405-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac0f190834405-1">10</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="29-otritsatelnye-znacheniya-v-parametre-axis">Отрицательные значения в параметре axis</h4>



<p>Массив Numpy допускает отрицательное значение параметра axis. Параметр axis = −1  соответствует последней по счету оси, то есть оси 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac10685648209" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac10685648209-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac10685648209-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac11804419063" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac11804419063-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac11804419063-1">array([3, 7])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Сложение вдоль оси 0 соответствует параметру axis = −2.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac12775378886" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac12775378886-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac12775378886-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac13929954440" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac13929954440-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac13929954440-1">array([4, 6])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="30-massiv-3d">Массив 3D</h3>



<p>Расположение осей трехмерного массива не всегда бывает очевидным.</p>



<p>Как уже было сказано, оси тесно связаны с измерениями и понять какая ось первая, какая вторая, а какая третья проще всего через атрибут shape. Вновь рассмотрим приведенный выше трехмерный массив.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="634" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-1024x634.jpg" alt="оси трехмерного массива" class="wp-image-8787" style="width:761px;height:471px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-1024x634.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-300x186.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-768x475.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-1536x951.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-2048x1267.jpg 2048w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-1200x743.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis012-600x371.jpg 600w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Как мы видим, первая ось (axis = 0) в параметре shape всегда стоит на первом месте.</p>



<h4 class="wp-block-heading" id="31-slozhenie-vdol-pervoy-osi-axis-0">Сложение вдоль первой оси (axis = 0)</h4>



<p>Применим функцию <strong>np.sum()</strong> с параметром axis = 0.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac14967833754" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac14967833754-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac14967833754-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac15006344815" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac15006344815-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac15006344815-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac15006344815-1">array([[ 6,&nbsp;&nbsp;8, 10],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac15006344815-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [12, 14, 16]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Визуально это можно представить как поэлементное сложение двух матриц.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="808" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-1024x808.jpg" alt="сложение элементов трехмерного массива вдоль оси 0" class="wp-image-8877" style="width:663px;height:522px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-1024x808.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-300x237.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-768x606.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-1536x1211.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-1200x946.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D-600x473.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis0_3D.jpg 1609w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Если использовать индексы массива, то поэлементное сложение вдоль оси 0 можно реализовать следующим образом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac16750220691" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac16750220691-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac16750220691-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac16750220691-1"><span class="crayon-c"># возьмем первую матрицу</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac16750220691-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac17256892757" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac17256892757-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac17256892757-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac17256892757-1">array([[0, 1, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac17256892757-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [3, 4, 5]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac18761828231" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac18761828231-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac18761828231-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac18761828231-1"><span class="crayon-c"># возьмем вторую матрицу</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac18761828231-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac19143884603" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac19143884603-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac19143884603-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac19143884603-1">array([[ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac19143884603-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 9, 10, 11]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1a926890242" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1a926890242-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac1a926890242-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1a926890242-1"><span class="crayon-c"># и поэлементно сложим их</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac1a926890242-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1b556378637" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1b556378637-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac1b556378637-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1b556378637-1">array([[ 6,&nbsp;&nbsp;8, 10],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac1b556378637-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [12, 14, 16]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Эту же задачу можно решить с помощью цикла <strong>for</strong>. Вначале нам нужно создать нулевую матрицу, размерность которой будет соответствовать желаемому результату сложения вдоль оси 0.  </p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1c929665311" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1c929665311-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac1c929665311-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1c929665311-1"><span class="crayon-c"># создадим нулевую матрицу размером 2 x 3</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac1c929665311-2"><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Теперь создадим цикл <strong>for</strong> с двумя итерациями (потому что мы складываем две матрицы внутри трехмерного массива) через функцию <strong>range()</strong> с параметром 2.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1d033490688" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1d033490688-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac1d033490688-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1d033490688-1"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac1d033490688-2"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Внутри цикла мы на первой итерации (i равно 0) запишем в нулевой массив нашу первую матрицу, а на второй итерации (i равно 1) поэлементно прибавим вторую. Переменная i в данном случае стала индексом для массива arr_3D.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1e103475159" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1e103475159-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1e103475159-1"><span class="crayon-v">total</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac1f192993343" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac1f192993343-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac1f192993343-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac1f192993343-1">array([[ 6.,&nbsp;&nbsp;8., 10.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac1f192993343-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [12., 14., 16.]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p class="has-background" style="background-color:#ffe8c4">Мы применили цикл <strong>for</strong> к массиву Numpy исключительно в учебных целях. На практике этого стоит избегать. Встроенные функции Numpy исполняются гораздо быстрее.</p>



<h4 class="wp-block-heading" id="32-slozhenie-vdol-vtoroy-osi-axis-1">Сложение вдоль второй оси (axis = 1)</h4>



<p>Теперь посмотрим на сложение с параметром axis = 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac20402973432" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac20402973432-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac20402973432-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac20402973432-1"><span class="crayon-c"># применим np.sum()</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac20402973432-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac21239031472" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac21239031472-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac21239031472-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac21239031472-1">array([[ 3,&nbsp;&nbsp;5,&nbsp;&nbsp;7],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac21239031472-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [15, 17, 19]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Сложение вдоль оси 1 предполагает, что мы складываем столбцы каждой матрицы.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="388" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-1024x388.jpg" alt="сложение элементов трехмерного массива вдоль оси 1" class="wp-image-8876" style="width:605px;height:229px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-1024x388.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-300x114.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-768x291.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-1536x581.jpg 1536w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-1200x454.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D-600x227.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis1_3D.jpg 1892w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Посмотрим на сложение через индексы.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac22458069888" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac22458069888-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac22458069888-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac22458069888-1"><span class="crayon-c"># сложим столбцы первой</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac22458069888-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac23391638042" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac23391638042-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac23391638042-1">array([3, 5, 7])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac24552737438" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac24552737438-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac24552737438-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac24552737438-1"><span class="crayon-c"># и второй матрицы</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac24552737438-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac25878175894" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac25878175894-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac25878175894-1">array([15, 17, 19])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь, опять же в учебных целях, решим эту задачу через цикл <strong>for</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac26014216398" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-11">11</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-12">12</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-13">13</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac26014216398-14">14</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-1"><span class="crayon-c"># создадим нулевую матрицу 2 x 3</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-2"><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-4"><span class="crayon-c"># вначале пройдемся по матрицам</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-5"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-7"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-c"># затем по строкам каждой матрицы</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-8"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">j</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-9">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-10"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># и в первую строку total запишем сумму столбцов первой матрицы arr_3D,</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-11"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># а во вторую - сумму столбцов второй матрицы</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-12"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-v">total</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-13">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac26014216398-14"><span class="crayon-v">total</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac27973734314" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac27973734314-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac27973734314-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac27973734314-1">array([[ 3.,&nbsp;&nbsp;5.,&nbsp;&nbsp;7.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac27973734314-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [15., 17., 19.]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="33-slozhenie-vdol-tretey-osi-axis-2">Сложение вдоль третьей оси (axis = 2)</h4>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac28677567543" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac28677567543-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac28677567543-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac28677567543-1"><span class="crayon-c"># применим np.sum()</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac28677567543-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac29492094596" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac29492094596-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac29492094596-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac29492094596-1">array([[ 3, 12],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac29492094596-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [21, 30]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Сложение вдоль оси 2 предполагает, что мы складываем строки каждой матрицы.</p>



<figure class="wp-block-image size-large is-resized"><img loading="lazy" decoding="async" width="1024" height="863" src="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-1024x863.jpg" alt="сложение элементов трехмерного массива вдоль оси 2" class="wp-image-8880" style="width:436px;height:367px" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-1024x863.jpg 1024w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-300x253.jpg 300w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-768x647.jpg 768w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-1200x1011.jpg 1200w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D-600x505.jpg 600w, https://www.dmitrymakarov.ru/wp-content/uploads/2022/01/axis2_3D.jpg 1492w" sizes="(max-width: 1024px) 100vw, 1024px" /></figure>



<p>Покажем сложение строк через индексы для первой строки первой матрицы [0, 1, 2].</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2a487598825" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2a487598825-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2a487598825-1"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2b301639783" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2b301639783-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2b301639783-1">3</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Сложение каждой строки можно посмотреть в <a href="https://colab.research.google.com/drive/1ivYBuRp-sw50rVV_rregIivVNL4nuCWd#scrollTo=FlZ9BflvMu6H" target="_blank" rel="noreferrer noopener">блокноте</a>⧉. Теперь применим цикл <strong>for</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2c740171184" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-11">11</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-12">12</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-13">13</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-14">14</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-15">15</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-16">16</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2c740171184-17">17</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-1"><span class="crayon-c"># создадим нулевой массив 2 x 2 для записи результатов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-2"><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-4"><span class="crayon-c"># пройдемся по матрицам</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-5"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-7"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-c"># по строкам матрицы</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-8"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">j</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-9">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-10"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># и по столбцам</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-11"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">k</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-12">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-13"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># индексы i, j запишут результат сложения элементов строк k</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-14"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># в квадратную матрицу 2 x 2</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-15"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-v">total</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-i">k</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-16">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2c740171184-17"><span class="crayon-v">total</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2d946711367" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2d946711367-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2d946711367-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2d946711367-1">array([[ 3., 12.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2d946711367-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [21., 30.]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="34-slozhenie-vdol-pervoy-i-vtoroy-osey-axis-0-1">Сложение вдоль первой и второй осей (axis = (0, 1))</h4>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2e224994409" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2e224994409-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac2e224994409-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2e224994409-1"><span class="crayon-c"># применим функцию np.sum()</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac2e224994409-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac2f310427634" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac2f310427634-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac2f310427634-1">array([18, 22, 26])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Здесь мы объединили две операции сложения вначале вдоль оси 0, затем вдоль оси 1. Схемы этих операций можно посмотреть выше.</p>



<p>В цикле <strong>for</strong> этот алгоритм можно реализовать либо (1) через два отдельных цикла, либо (2) через вложенные друг в друга циклы. При использовании двух циклов (1) мы вначале складываем матрицы.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac30273244005" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac30273244005-7">7</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-1"><span class="crayon-c"># произведем сложение по оси 0</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-2"><span class="crayon-v">total_0</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-4"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-5"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-v">total_0</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac30273244005-7"><span class="crayon-v">total_0</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac31146748901" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac31146748901-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac31146748901-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac31146748901-1">array([[ 6.,&nbsp;&nbsp;8., 10.],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac31146748901-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [12., 14., 16.]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>На втором этапе мы складываем столбцы предыдущего результата.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac32314424455" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac32314424455-7">7</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-1"><span class="crayon-c"># произведем сложение по оси 1</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-2"><span class="crayon-v">total_1</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-4"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">j</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-5"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-v">total_1</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">total_0</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac32314424455-7"><span class="crayon-v">total_1</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac33760786299" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac33760786299-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac33760786299-1">array([18., 22., 26.])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>При использовании вложенных циклов (2) мы пройдемся по строкам каждой матрицы и поэлементно сложим их (т.е. произведем сложение по столбцам).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac34065524223" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac34065524223-7">7</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-1"><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">zeros</span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-3"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-4"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">j</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-5"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-6">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac34065524223-7"><span class="crayon-v">total</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac35616920310" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac35616920310-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac35616920310-1">array([18., 22., 26.])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="35-slozhenie-vdol-vsekh-trekh-osey-axis-0-1-2">Сложение вдоль всех трех осей (axis = (0, 1, 2))</h4>



<p>При сложении вдоль всех трех осей мы можем указать каждую ось в параметре axis.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac36918236851" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac36918236851-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac36918236851-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac37337809388" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac37337809388-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac37337809388-1">66</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Кроме того, аналогично двумерному массиву, если параметр axis не указывать, сложение также будет произведено по всем измерениям.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac38311547446" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac38311547446-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac38311547446-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac39780984004" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac39780984004-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac39780984004-1">66</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Реализация алгоритма через цикл <strong>for</strong> в данном случае достаточно проста.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3a353382420" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3a353382420-11">11</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-1"><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-3"><span class="crayon-c"># в трех вложенных циклах мы пройдемся по всем элементам массива</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-4"><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">i</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-5"><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">j</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-6"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-st">for</span><span class="crayon-h"> </span><span class="crayon-i">k</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-k ">range</span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">)</span><span class="crayon-o">:</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-7">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-8"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-c"># и запишем сумму этих элементов в переменную total</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-9"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="crayon-v">total</span><span class="crayon-h"> </span><span class="crayon-o">+=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-v">i</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">j</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-v">k</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-10">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3a353382420-11"><span class="crayon-v">total</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3b301079374" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3b301079374-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3b301079374-1">66</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>В целом, результатом сложения по всем измерениям для массива любой размерности будет скаляр (число).</p>



<p class="has-background" style="background-color:#ffe8c4">Обратите внимание, при работе с трехмерным массивом также происходит агрегирование данных и сокращение измерений. Исчезает та ось или измерение, вдоль которого осуществлялось сложение.</p>



<p>Напоследок замечу, что мы использовали функцию <strong>np.sum()</strong> в большей степени для иллюстриции операций вдоль определенной оси. Математические возможности Numpy будут рассмотрены на <a href="https://www.dmitrymakarov.ru/python/npmath-10/">следующем занятии</a>.</p>



<h2 class="wp-block-heading" id="36-operatsii-s-massivami">Операции с массивами</h2>



<h3 class="wp-block-heading" id="37-funktsiya-len">Функция len()</h3>



<p>Вновь возьмем трехмерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3c586958958" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3c586958958-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3c586958958-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3c586958958-1"><span class="crayon-v">arr_3D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3c586958958-2"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3d472880271" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3d472880271-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3d472880271-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3d472880271-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac3d472880271-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3d472880271-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3d472880271-1">array([[[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3d472880271-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3d472880271-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac3d472880271-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3d472880271-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 9, 10, 11]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>По умолчанию <strong>функция len()</strong> выводит длину внешнего измерения (ось 0). Это внешние скобки, в которых содержатся <em>две</em> матрицы 2 x 3.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3e703939592" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3e703939592-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3e703939592-1"><span class="crayon-k ">len</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac3f580955491" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac3f580955491-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac3f580955491-1">2</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Для того чтобы вывести, например, длину внутреннего измерения, т.е. вектора из трех элементов (ось 1), нужно воспользоваться индексом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac40400732059" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac40400732059-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac40400732059-1"><span class="crayon-k ">len</span><span class="crayon-sy">(</span><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac41095086955" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac41095086955-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac41095086955-1">3</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="38-vkhozhdenie-elementa-v-massiv">Вхождение элемента в массив</h3>



<p>Проверим, входит ли значение 3 в созданный выше массив arr_3D.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac42304022788" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac42304022788-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac42304022788-1"><span class="crayon-cn">3</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac43531381517" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac43531381517-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac43531381517-1">True</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь проверим, <em>не</em> входит ли значение 11.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac44620781682" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac44620781682-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac44620781682-1"><span class="crayon-cn">11</span><span class="crayon-h"> </span><span class="crayon-st">not</span><span class="crayon-h"> </span><span class="crayon-st">in</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac45175015879" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac45175015879-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac45175015879-1">False</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="39-raspakovka-massiva">Распаковка массива</h3>



<p>Возьмем матрицу из трех строк и девяти столбцов.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac46924297084" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac46924297084-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac46924297084-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac46924297084-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">28</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac46924297084-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac47255853922" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac47255853922-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac47255853922-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac47255853922-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac47255853922-1">array([[ 1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5,&nbsp;&nbsp;6,&nbsp;&nbsp;7,&nbsp;&nbsp;8,&nbsp;&nbsp;9],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac47255853922-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [10, 11, 12, 13, 14, 15, 16, 17, 18],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac47255853922-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [19, 20, 21, 22, 23, 24, 25, 26, 27]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Во внешнем измерении (ось 0) три элемента. Мы можем распаковать (unpack) их в три переменные.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac48891080669" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac48891080669-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac48891080669-1"><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">y</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">z</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Выведем первую переменную (строку).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac49097700815" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac49097700815-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac49097700815-1"><span class="crayon-v">x</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac4a225404828" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4a225404828-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4a225404828-1">array([1, 2, 3, 4, 5, 6, 7, 8, 9])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Теперь распакуем первый, последний и остальные элементы <em>первой строки</em> в отдельные переменные.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac4b830872692" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4b830872692-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4b830872692-1"><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">*</span><span class="crayon-v">y</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">z</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Выведем каждую переменную.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac4c463337867" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4c463337867-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac4c463337867-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4c463337867-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4c463337867-1"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac4c463337867-2"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">y</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4c463337867-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">z</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac4d466085247" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4d466085247-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac4d466085247-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4d466085247-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4d466085247-1">1</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac4d466085247-2">[2, 3, 4, 5, 6, 7, 8]</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4d466085247-3">9</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>С таким способом распаковки мы познакомились, когда <a href="https://www.dmitrymakarov.ru/python/list-tuple-set-07/#5-raspakovka-spiskov">говорили про списки</a>.</p>



<h3 class="wp-block-heading" id="40-izmenenie-elementov-massiva">Изменение элементов массива</h3>



<p>Обратимся к двумерному массиву.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac4e381943369" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac4e381943369-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac4e381943369-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac4e381943369-1"><span class="crayon-v">arr_2D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac4e381943369-2"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac5e500632160" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac5e500632160-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac5e500632160-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac5e500632160-1">array([[1, 2, 3],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac5e500632160-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5, 6]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Заменим первый элемент первой строки по его индексу.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac5f226972907" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac5f226972907-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac5f226972907-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac5f226972907-1"><span class="crayon-v">arr_2D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">2</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac5f226972907-2"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac60842695473" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac60842695473-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac60842695473-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac60842695473-1"><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac60842695473-2"><span class="crayon-h">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Запишем значение 1 в первую строку.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac61089592795" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac61089592795-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac61089592795-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac61089592795-1"><span class="crayon-v">arr_2D</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac61089592795-2"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac62335657217" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac62335657217-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac62335657217-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac62335657217-1">array([[1, 1, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac62335657217-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5, 6]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Пусть третий столбец массива состоит из нулей.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac63922722170" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac63922722170-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac63922722170-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac63922722170-1"><span class="crayon-v">arr_2D</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac63922722170-2"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac64592553367" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac64592553367-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac64592553367-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac64592553367-1">array([[1, 1, 0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac64592553367-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [5, 6, 0, 8]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь потренируемся с трехмерным массивом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac65040137877" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac65040137877-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac65040137877-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac65040137877-1"><span class="crayon-v">arr_3D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac65040137877-2"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac66531952737" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac66531952737-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac66531952737-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac66531952737-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac66531952737-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac66531952737-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac66531952737-1">array([[[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac66531952737-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac66531952737-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac66531952737-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac66531952737-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 9, 10, 11]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Выберем второй столбец второй матрицы и заменим значения столбца 7 и 10 на 0 и 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac67739424434" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac67739424434-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac67739424434-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac67739424434-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac67739424434-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac67739424434-1"><span class="crayon-c"># при такой операции размер среза должен совпадать</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac67739424434-2"><span class="crayon-c"># с количеством передаваемых значений</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac67739424434-3"><span class="crayon-v">arr_3D</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac67739424434-4"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac68720227878" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac68720227878-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac68720227878-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac68720227878-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac68720227878-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac68720227878-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac68720227878-1">array([[[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac68720227878-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac68720227878-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac68720227878-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 6,&nbsp;&nbsp;0,&nbsp;&nbsp;8],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac68720227878-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 9,&nbsp;&nbsp;1, 11]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Заменим все элементы массива на число семь с помощью <strong>метода .fill()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac69225038169" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac69225038169-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac69225038169-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac69225038169-1"><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-e">fill</span><span class="crayon-sy">(</span><span class="crayon-cn">7</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac69225038169-2"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6a388408985" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6a388408985-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac6a388408985-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6a388408985-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac6a388408985-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6a388408985-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6a388408985-1">array([[[7, 7, 7],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac6a388408985-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[7, 7, 7]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6a388408985-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac6a388408985-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[7, 7, 7],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6a388408985-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[7, 7, 7]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="41-sortirovka-massiva-i-obratnyy-poryadok-ego-elementov">Сортировка массива и обратный порядок его элементов</h3>



<h4 class="wp-block-heading" id="42-funktsiya-npsort">Функция np.sort()</h4>



<p>Возьмем двумерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6b416968506" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6b416968506-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac6b416968506-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6b416968506-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac6b416968506-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6c218847371" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6c218847371-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac6c218847371-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6c218847371-1">array([[4, 8, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac6c218847371-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3, 1]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Как и во многих других функциях главное разобраться с применением параметра axis. По умолчанию сортировка идет с параметром axis = −1 (последняя ось).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6d011173008" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6d011173008-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6d011173008-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6e992935834" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6e992935834-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac6e992935834-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6e992935834-1">array([[2, 4, 8],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac6e992935834-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 2, 3]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Для двумерного массива это ось 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac6f398371219" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac6f398371219-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac6f398371219-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac70516971281" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac70516971281-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac70516971281-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac70516971281-1">array([[2, 4, 8],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac70516971281-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 2, 3]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь посмотрим на сортировку по оси 0.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac71511789916" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac71511789916-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac71511789916-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac72748763683" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac72748763683-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac72748763683-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac72748763683-1">array([[2, 3, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac72748763683-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 8, 2]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Параметр axis = None вначале возвращает одномерный массив, а затем сортирует его.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac73114305536" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac73114305536-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac73114305536-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-t">None</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac74776824338" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac74776824338-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac74776824338-1">array([1, 2, 2, 3, 4, 8])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="43-obratnyy-poryadok-elementov-massiva">Обратный порядок элементов массива</h4>



<p>Для того чтобы задать обратный порядок элементов, можно использовать <strong>оператор среза</strong> с параметром шага −1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac75432083392" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac75432083392-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac75432083392-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac76869797672" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac76869797672-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac76869797672-1">array([9, 8, 7, 6, 5, 4, 3, 2, 1, 0])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обратный порядок элементов можно совмещать со срезами.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac77616801520" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac77616801520-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac77616801520-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac77616801520-1"><span class="crayon-c"># обратите внимание, мы используем и положительный, и отрицательный индексы</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac77616801520-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">9</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span><span class="crayon-sy">[</span><span class="crayon-o">-</span><span class="crayon-cn">3</span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-o">:</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac78288266102" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac78288266102-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac78288266102-1">array([7, 6, 5, 4])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь возьмем двумерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac79605986791" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac79605986791-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac79605986791-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac79605986791-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac79605986791-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0004 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7a672959554" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7a672959554-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7a672959554-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7a672959554-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7a672959554-1">array([[4, 8, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7a672959554-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3, 1],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7a672959554-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 7, 2]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>С помощью оператора среза можно задать обратный порядок по двум измерениям.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7b490065461" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7b490065461-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7b490065461-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7b490065461-1"><span class="crayon-c"># такая запись аналогична параметру axis = (0, 1)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7b490065461-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7c630261406" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7c630261406-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7c630261406-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7c630261406-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7c630261406-1">array([[2, 7, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7c630261406-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 3, 2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7c630261406-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 8, 4]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Разумеется, мы можем задать обратный порядок только по внешнему или только внутреннему измерениям.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7d806744711" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7d806744711-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7d806744711-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7d806744711-1"><span class="crayon-c"># обратный порядок по внешнему (axis = 0)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7d806744711-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7e685458383" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7e685458383-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7e685458383-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7e685458383-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7e685458383-1">array([[1, 7, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7e685458383-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3, 1],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7e685458383-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 8, 2]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac7f002691074" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac7f002691074-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac7f002691074-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac7f002691074-1"><span class="crayon-c"># и внутреннему измерению (axis = 1)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac7f002691074-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac80944218044" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac80944218044-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac80944218044-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac80944218044-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac80944218044-1">array([[2, 8, 4],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac80944218044-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 3, 2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac80944218044-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 7, 1]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Помимо этого, обратный порядок можно задать через <strong>функцию np.flip()</strong>. По умолчанию эта функция задает обратный порядок по двум измерениям.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac81266949666" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac81266949666-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac81266949666-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac81266949666-1"><span class="crayon-c"># то же самое, что axis = (0, 1) </span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac81266949666-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">flip</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac82455351715" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac82455351715-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac82455351715-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac82455351715-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac82455351715-1">array([[2, 7, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac82455351715-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 3, 2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac82455351715-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 8, 4]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Отдельно можно задать порядок по внешнему и внутреннему измерениям.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac83132148553" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac83132148553-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac83132148553-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac83132148553-1"><span class="crayon-c"># внешнее измерение</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac83132148553-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">flip</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac84271439105" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac84271439105-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac84271439105-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac84271439105-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac84271439105-1">array([[1, 7, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac84271439105-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3, 1],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac84271439105-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 8, 2]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac85374768643" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac85374768643-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac85374768643-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac85374768643-1"><span class="crayon-c"># внутреннее измерение</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac85374768643-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">flip</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac86579237174" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac86579237174-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac86579237174-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac86579237174-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac86579237174-1">array([[2, 8, 4],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac86579237174-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1, 3, 2],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac86579237174-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 7, 1]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="44-sortirovka-v-ubyvayushchem-poryadke">Сортировка в убывающем порядке</h4>



<p>Возможно вы обратили внимание, что при использовании <strong>функции np.sort()</strong> мы сортировали элементы только в возрастающем порядке. По другому она не умеет. Для того чтобы отсортировать элементы в убывающем порядке можно воспользоваться оператором среза.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac87097648872" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac87097648872-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac87097648872-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac87097648872-1"><span class="crayon-c"># возьмем простой одномерный массив</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac87097648872-2"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">5</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Одновременно применим функцию <strong>np.sort()</strong> и оператор среза с параметром шага  −1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac88106040763" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac88106040763-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac88106040763-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">)</span><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac89774759283" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac89774759283-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac89774759283-1">array([7, 6, 5, 4, 3, 2, 1])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обращу ваше внимание, что исходный массив не изменился.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8a855563568" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8a855563568-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8a855563568-1"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8b547123439" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8b547123439-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8b547123439-1">array([4, 2, 6, 1, 7, 3, 5])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>При этом можно воспользоваться и <strong>методом .sort()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8c594465008" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8c594465008-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac8c594465008-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8c594465008-1"><span class="crayon-c"># здесь нужно сначала задать обратный порядок, а потом отсортировать</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac8c594465008-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-o">::</span><span class="crayon-o">-</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">.</span><span class="crayon-e">sort</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8d867977881" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8d867977881-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8d867977881-1">array([7, 6, 5, 4, 3, 2, 1])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Изменится исходный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8e677624318" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8e677624318-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8e677624318-1"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac8f644113344" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac8f644113344-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac8f644113344-1">array([7, 6, 5, 4, 3, 2, 1])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="45-izmenenie-razmernosti">Изменение размерности</h3>



<h4 class="wp-block-heading" id="46-metod-reshape">Метод .reshape()</h4>



<p>Возьмем простой трехмерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac90030947624" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac90030947624-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac90030947624-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac90030947624-1"><span class="crayon-v">arr_3D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">12</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac90030947624-2"><span class="crayon-v">arr_3D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac91986808236" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac91986808236-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac91986808236-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac91986808236-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac91986808236-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac91986808236-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac91986808236-1">array([[[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac91986808236-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac91986808236-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac91986808236-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac91986808236-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[ 9, 10, 11]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac92299027389" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac92299027389-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac92299027389-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac92299027389-1"><span class="crayon-c"># в нем 12 элементов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac92299027389-2"><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-v">size</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac93554658723" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac93554658723-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac93554658723-1">12</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>С помощью <strong>метода .reshape()</strong> мы можем изменить количество измерений. Например, мы можем превратить этот массив в матрицу с размерностью 2 x 6.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac94392188827" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac94392188827-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac94392188827-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac94392188827-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac94392188827-1"><span class="crayon-c"># при этом важно, чтобы общее количество элементов было тем же</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac94392188827-2"><span class="crayon-v">arr_2D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac94392188827-3"><span class="crayon-v">arr_2D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac95970891558" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac95970891558-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac95970891558-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac95970891558-1">array([[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac95970891558-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8,&nbsp;&nbsp;9, 10, 11]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="47-funktsiya-npresize-i-metod-resize">Функция np.resize() и метод .resize()</h4>



<p>С другой стороны, если мы хотим не только задать другую размерность, но и изменить общее количество элементов, то мы можем воспользоваться <strong>функцией np.resize()</strong> и <strong>методом .resize()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac96297774080" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac96297774080-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac96297774080-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac96297774080-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac96297774080-1"><span class="crayon-c"># функция np.resize() позволяет не сохранять прежнее количество элементов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac96297774080-2"><span class="crayon-c"># существующие элементы копируются в новые ячейки</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac96297774080-3"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">resize</span><span class="crayon-sy">(</span><span class="crayon-v">arr_2D</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac97173647375" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac97173647375-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac97173647375-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac97173647375-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac97173647375-1">array([[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac97173647375-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8,&nbsp;&nbsp;9, 10, 11],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac97173647375-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Перед тем как воспользоваться методом <strong>.resize()</strong> нам необходимо создать копию массива arr_2D. Все дело в том, что переменная arr_2D ссылается на другой массив (в частности, на трехмерный массив arr_3D), а метод <strong>.resize()</strong> может работать только с исходным массивом.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac98888206067" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac98888206067-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac98888206067-1"><span class="crayon-v">arr_2D_copy</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">arr_2D</span><span class="crayon-sy">.</span><span class="crayon-k ">copy</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Метод <strong>.resize()</strong> также создаст отдельную копию, изменит размерность и заполнит пропуски нулями.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac99337544077" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac99337544077-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac99337544077-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac99337544077-1"><span class="crayon-v">arr_2D_copy</span><span class="crayon-sy">.</span><span class="crayon-e">resize</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">6</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac99337544077-2"><span class="crayon-v">arr_2D_copy</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9a265999753" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9a265999753-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac9a265999753-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9a265999753-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac9a265999753-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9a265999753-1">array([[ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac9a265999753-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 6,&nbsp;&nbsp;7,&nbsp;&nbsp;8,&nbsp;&nbsp;9, 10, 11],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9a265999753-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac9a265999753-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [ 0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0,&nbsp;&nbsp;0]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="48-metody-flatten-i-ravel">Методы .flatten() и .ravel()</h4>



<p><strong>Метод .flatten()</strong> переводит (&#171;вытягивает&#187;) массив в одно измерение и создает копию исходного массива (как метод <strong>.copy()</strong>).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9b866994872" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9b866994872-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9b866994872-1"><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-e">flatten</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9c292055966" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9c292055966-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9c292055966-1">array([ 0,&nbsp;&nbsp;1,&nbsp;&nbsp;2,&nbsp;&nbsp;3,&nbsp;&nbsp;4,&nbsp;&nbsp;5,&nbsp;&nbsp;6,&nbsp;&nbsp;7,&nbsp;&nbsp;8,&nbsp;&nbsp;9, 10, 11])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p class="has-background" style="background-color:#ffe8c4">Напомню, что концепцию вытягивания массива мы использовали при работе с изображениями на занятиях по <a href="https://www.dmitrymakarov.ru/intro/cv-18/">компьютерному зрению</a> и <a href="https://www.dmitrymakarov.ru/intro/neural-21/">основам нейронных сетей</a>.</p>



<p><strong>Метод .ravel()</strong> делает то же самое, но не создает копию исходного массива и за счет этого быстрее, чем <strong>.flatten()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9d066900699" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9d066900699-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9d066900699-1"><span class="crayon-v">arr_3D</span><span class="crayon-sy">.</span><span class="crayon-e">ravel</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9e762570801" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9e762570801-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9e762570801-1"><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">6</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-cn">9</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">10</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">11</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Метод <strong>.ravel()</strong> мы использовали на занятии по <a href="https://www.dmitrymakarov.ru/intro/topic-identification-19/#arr">обработке естественного языка</a>.</p>



<h4 class="wp-block-heading" id="49-npnewaxis">np.newaxis</h4>



<p>Объект <strong>np.newaxis</strong> добавляет измерение в уже существующем массиве.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ac9f440122796" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9f440122796-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ac9f440122796-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ac9f440122796-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9f440122796-1"><span class="crayon-c"># создадим одномерный массив</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ac9f440122796-2"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ac9f440122796-3"><span class="crayon-v">a</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca0948301877" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca0948301877-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca0948301877-1">(3,)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Мы можем добавить в этот массив новое первое измерение и, таким образом, сделать существующее измерение вторым.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca1328972572" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca1328972572-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca1328972572-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca1328972572-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca1328972572-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca1328972572-1"><span class="crayon-v">b</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-v">newaxis</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">:</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca1328972572-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca1328972572-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">b</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca1328972572-4"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">b</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca2304337411" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca2304337411-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca2304337411-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca2304337411-1">[[1 2 3]]</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca2304337411-2">(1, 3)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Аналогично, мы можем добавить новое второе измерение, а существующее измерение оставить первым.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca3001987581" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca3001987581-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca3001987581-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca3001987581-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca3001987581-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca3001987581-1"><span class="crayon-v">c</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-o">:</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-v">newaxis</span><span class="crayon-sy">]</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca3001987581-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca3001987581-3"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">c</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca3001987581-4"><span class="crayon-k ">print</span><span class="crayon-sy">(</span><span class="crayon-v">c</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca4911039489" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca4911039489-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca4911039489-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca4911039489-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca4911039489-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca4911039489-1">[[1]</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca4911039489-2"> [2]</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca4911039489-3"> [3]]</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca4911039489-4">(3, 1)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="50-funktsiya-npexpand_dims">Функция np.expand_dims()</h4>



<p>Функция <strong>np.expand_dims()</strong> добавляет измерение, указанное в параметре axis. Возьмем двумерный массив.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca5635014497" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca5635014497-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca5635014497-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca5635014497-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-cn">2</span><span class="crayon-sy">]</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-cn">4</span><span class="crayon-sy">]</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca5635014497-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca6333960151" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca6333960151-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca6333960151-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca6333960151-1">array([[1, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca6333960151-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [3, 4]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Добавим внешнее измерение.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca7072748126" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca7072748126-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca7072748126-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">expand_dims</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca8562038749" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca8562038749-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aca8562038749-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca8562038749-1">array([[[1, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aca8562038749-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[3, 4]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь добавим измерение &#171;по середине&#187;.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aca9881288457" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aca9881288457-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aca9881288457-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">expand_dims</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acaa346797933" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acaa346797933-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acaa346797933-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acaa346797933-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acaa346797933-1">array([[[1, 2]],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acaa346797933-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acaa346797933-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[3, 4]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>А также внутреннее измерение.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acab623466352" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acab623466352-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acab623466352-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">expand_dims</span><span class="crayon-sy">(</span><span class="crayon-v">x</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acac449370218" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acac449370218-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acac449370218-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acac449370218-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acac449370218-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acac449370218-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acac449370218-1">array([[[1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acac449370218-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[2]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acac449370218-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acac449370218-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[3],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acac449370218-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[4]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="51-funktsiya-npsqueeze">Функция np.squeeze()</h4>



<p>Возьмем массив 4D, в котором первое и последнее измерения содержат по одному элементу.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acad725782140" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acad725782140-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acad725782140-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acad725782140-1"><span class="crayon-v">arr_4D</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">9</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acad725782140-2"><span class="crayon-v">arr_4D</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acae485820837" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acae485820837-11">11</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-1">array([[[[0],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acae485820837-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [1],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2]],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acae485820837-4">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[[3],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acae485820837-6">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-7">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [5]],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acae485820837-8">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-9">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[[6],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acae485820837-10">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [7],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acae485820837-11">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [8]]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Удалим эти измерения с помощью <strong>функции np.squeeze()</strong>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acaf817370911" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acaf817370911-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acaf817370911-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">squeeze</span><span class="crayon-sy">(</span><span class="crayon-v">arr_4D</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb0389540115" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb0389540115-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acb0389540115-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb0389540115-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb0389540115-1">array([[0, 1, 2],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acb0389540115-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [3, 4, 5],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb0389540115-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [6, 7, 8]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Новый массив имеет только два измерения.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb1355934686" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb1355934686-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb1355934686-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">squeeze</span><span class="crayon-sy">(</span><span class="crayon-v">arr_4D</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-v">shape</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb2447640144" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb2447640144-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb2447640144-1">(3, 3)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Этот метод мы использовали при создании <a href="https://www.dmitrymakarov.ru/intro/recommender-17/#7-etap-3-sostavlenie-rekomendatsiy">рекомендательной системы</a>.</p>



<h3 class="wp-block-heading" id="52-obedinenie-massivov">Объединение массивов</h3>



<h4 class="wp-block-heading" id="53-funktsiya-npconcatenate">Функция np.concatenate()</h4>



<p>Предположим, что у нас есть два квардратных массива a и b размерностью 2 x 2.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb3504907589" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb3504907589-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acb3504907589-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb3504907589-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acb3504907589-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb4110024093" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb4110024093-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acb4110024093-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb4110024093-1">array([[0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acb4110024093-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb5730087075" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb5730087075-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acb5730087075-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb5730087075-1"><span class="crayon-v">b</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">arange</span><span class="crayon-sy">(</span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">8</span><span class="crayon-sy">)</span><span class="crayon-sy">.</span><span class="crayon-e">reshape</span><span class="crayon-sy">(</span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acb5730087075-2"><span class="crayon-v">b</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb6396381030" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb6396381030-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acb6396381030-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb6396381030-1">array([[4, 5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acb6396381030-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [6, 7]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Объединим массивы вдоль оси 0 <em>без добавления нового измерения</em>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acb7286079159" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acb7286079159-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acb7286079159-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">concatenate</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">b</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acc9002745829" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acc9002745829-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acc9002745829-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acc9002745829-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acc9002745829-4">4</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acc9002745829-1">array([[0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acc9002745829-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acc9002745829-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [4, 5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acc9002745829-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [6, 7]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Точно так же массивы можно объединить вдоль оси 1.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acca848097663" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acca848097663-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acca848097663-1"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">concatenate</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">b</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153accb338835540" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accb338835540-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accb338835540-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accb338835540-1">array([[0, 1, 4, 5],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accb338835540-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [2, 3, 6, 7]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h4 class="wp-block-heading" id="54-funktsiya-npstack">Функция np.stack()</h4>



<p>Отличие <strong>функции np.stack()</strong> от <strong>np.concatenate()</strong> в том, что при объединении массивов мы <em>добавляем новое измерение</em> (новую ось).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153accc051066327" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accc051066327-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accc051066327-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accc051066327-1"><span class="crayon-c"># при axis = 0 мы просто добавляем внешнее измерение</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accc051066327-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">stack</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">b</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153accd333642786" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accd333642786-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accd333642786-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accd333642786-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accd333642786-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accd333642786-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accd333642786-1">array([[[0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accd333642786-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[2, 3]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accd333642786-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accd333642786-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[4, 5],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accd333642786-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[6, 7]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Несколько более сложным оказывается поведение при axis = 1 и axis = 2.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acce238238040" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acce238238040-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acce238238040-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acce238238040-1"><span class="crayon-c"># при axis = 1 мы объединяем первые и вторые строки двух массивов</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acce238238040-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">stack</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">b</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153accf262910273" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accf262910273-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accf262910273-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accf262910273-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153accf262910273-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153accf262910273-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accf262910273-1">array([[[0, 1],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accf262910273-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[4, 5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accf262910273-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153accf262910273-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[2, 3],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153accf262910273-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[6, 7]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd0785184310" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd0785184310-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acd0785184310-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd0785184310-1"><span class="crayon-c"># при axis = 2 объединяются элементы с одинаковыми индексами</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acd0785184310-2"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">stack</span><span class="crayon-sy">(</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">b</span><span class="crayon-sy">)</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">axis</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd1679868780" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd1679868780-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acd1679868780-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd1679868780-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acd1679868780-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd1679868780-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd1679868780-1">array([[[0, 4],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acd1679868780-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[1, 5]],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd1679868780-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acd1679868780-4">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; [[2, 6],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd1679868780-5">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[3, 7]]])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h3 class="wp-block-heading" id="55-filtr-maska-massiva">Фильтр (маска) массива</h3>



<p>Задача <strong>фильтрации массива</strong> (или как еще говорят создания <strong>маски массива</strong>) встречается довольно часто. К примеру, предположим, что мы собрали показания прибора, однако из-за ошибки датчика часть из них оказалась некорректной, и для последующего анализа эти значения нужно удалить.</p>



<h4 class="wp-block-heading" id="56-logicheskaya-maska-boolean-mask">Логическая маска (Boolean mask)</h4>



<p>Пусть дан массив Numpy, и мы хотим удалить из него отрицательные значения.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd2217792523" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd2217792523-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd2217792523-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">4</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Для того чтобы создать фильтр массива достаточно указать критерий отбора. На выходе мы получим массив из логических значений True и False, в котором <em>нежелательные значения будут помечены как False</em>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd3621969451" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd3621969451-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd3621969451-1"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">&gt;</span><span class="crayon-h"> </span><span class="crayon-cn">0</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd4426987951" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd4426987951-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd4426987951-1">array([ True,&nbsp;&nbsp;True, False,&nbsp;&nbsp;True,&nbsp;&nbsp;True, False])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Применим маску к исходному массиву.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd5776522195" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd5776522195-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acd5776522195-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd5776522195-1"><span class="crayon-c"># останутся только те значения, которые в маске помечены как True</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acd5776522195-2"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">&gt;</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acd6151512484" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acd6151512484-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acd6151512484-1">array([5, 7, 4, 2])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Кроме того, отфильтрованные значения можно заполнить, например, нулями.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ace7118505176" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ace7118505176-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ace7118505176-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ace7118505176-1"><span class="crayon-v">a</span><span class="crayon-sy">[</span><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">&lt;</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-cn">0</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ace7118505176-2"><span class="crayon-v">a</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ace8546700376" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ace8546700376-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ace8546700376-1">array([5, 7, 0, 4, 2, 0])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Отдельно отмечу, что удаление или заполнение нулями некачественно собранных данных далеко не всегда является оптимальной стратегией. Более подробно мы поговорим об этом на <a href="https://www.dmitrymakarov.ru/data-analysis/">курсе анализа и обработки данных</a>.</p>



<h4 class="wp-block-heading" id="57-porogovoe-preobrazovanie-izobrazheniya">Пороговое преобразование изображения</h4>



<p>Еще одним примером использования фильтра массива является так называемое пороговое преобразование. Его мы изучали на занятии по компьютерному зрению. Рассмотрим этот код еще раз.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ace9914955789" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ace9914955789-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ace9914955789-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ace9914955789-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ace9914955789-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ace9914955789-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ace9914955789-1"><span class="crayon-c"># импортируем фотографии из библиотеки skimage</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ace9914955789-2"><span class="crayon-st">from</span><span class="crayon-h"> </span><span class="crayon-e">skimage </span><span class="crayon-r">import</span><span class="crayon-h"> </span><span class="crayon-i">data</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ace9914955789-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ace9914955789-4"><span class="crayon-c"># загрузим изображение с оттенками серого</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ace9914955789-5"><span class="crayon-v">camera</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">data</span><span class="crayon-sy">.</span><span class="crayon-e">camera</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Каждый пиксель изображения с оттенками серого (grayscale image), напомню, представляет собой значение в диапазоне от 0 до 255. Мы можем задать некоторый порог, пусть это будет число 87, и все значения выше этого порога сделать True или единицей, а ниже &#8212; False или нулем. Далее, если преобразовать единицы и нули в белый и черный цвета соответственно, то на выходе мы получим черно-белое изображение (binary image), в котором передний и задний планы разделены.</p>



<p>Подобный массив из значений False и True есть не что иное как маска исходного массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acea388352033" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acea388352033-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acea388352033-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acea388352033-1"><span class="crayon-c"># создадим маску</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acea388352033-2"><span class="crayon-v">binary</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">camera</span><span class="crayon-h"> </span><span class="crayon-o">&gt;</span><span class="crayon-h"> </span><span class="crayon-cn">87</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Посмотрим на значения исходного массива.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aceb683986416" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aceb683986416-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153aceb683986416-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aceb683986416-1"><span class="crayon-c"># для наглядности возьмем небольшой срез из середины массива</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153aceb683986416-2"><span class="crayon-v">camera</span><span class="crayon-sy">[</span><span class="crayon-cn">150</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">65</span><span class="crayon-o">:</span><span class="crayon-cn">75</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acec026285122" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acec026285122-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acec026285122-1">array([220, 219, 219, 196,&nbsp;&nbsp;80,&nbsp;&nbsp;54,&nbsp;&nbsp;47,&nbsp;&nbsp;45,&nbsp;&nbsp;44,&nbsp;&nbsp;44], dtype=uint8)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>И на значения его маски.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153aced811638475" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153aced811638475-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153aced811638475-1"><span class="crayon-v">binary</span><span class="crayon-sy">[</span><span class="crayon-cn">150</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">65</span><span class="crayon-o">:</span><span class="crayon-cn">75</span><span class="crayon-sy">]</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acee374259999" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acee374259999-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acee374259999-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acee374259999-1">array([ True,&nbsp;&nbsp;True,&nbsp;&nbsp;True,&nbsp;&nbsp;True, False, False, False, False, False,</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acee374259999-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; False])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Остается визуально оценить результат.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acef002879412" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-11">11</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acef002879412-12">12</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-1"><span class="crayon-c"># сравним исходное изображение и изображение после преобразования</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-2"><span class="crayon-v">fig</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">ax</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">subplots</span><span class="crayon-sy">(</span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">figsize</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">(</span><span class="crayon-cn">8</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-4"><span class="crayon-c"># выведем первое изображение и зададим заголовок</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-5"><span class="crayon-v">ax</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">.</span><span class="crayon-e">imshow</span><span class="crayon-sy">(</span><span class="crayon-v">camera</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-v">cmap</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-s">'gray'</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-6"><span class="crayon-v">ax</span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">]</span><span class="crayon-sy">.</span><span class="crayon-e">set_title</span><span class="crayon-sy">(</span><span class="crayon-s">'До'</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-7">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-8"><span class="crayon-c"># для ч/б изображений не забудем про параметр cmap = 'gray'</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-9"><span class="crayon-v">ax</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">.</span><span class="crayon-e">imshow</span><span class="crayon-sy">(</span><span class="crayon-v">binary</span><span class="crayon-sy">,</span><span class="crayon-h">&nbsp;&nbsp;</span><span class="crayon-v">cmap</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-s">'gray'</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-10"><span class="crayon-v">ax</span><span class="crayon-sy">[</span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">.</span><span class="crayon-e">set_title</span><span class="crayon-sy">(</span><span class="crayon-s">'После'</span><span class="crayon-sy">)</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acef002879412-11">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acef002879412-12"><span class="crayon-v">plt</span><span class="crayon-sy">.</span><span class="crayon-e">show</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0005 seconds] -->
</div>



<figure class="wp-block-image size-full"><img loading="lazy" decoding="async" width="491" height="250" src="https://www.dmitrymakarov.ru/wp-content/uploads/2021/09/t_picture.png" alt="пороговое преобразование с помощью маски массива Numpy" class="wp-image-4607" srcset="https://www.dmitrymakarov.ru/wp-content/uploads/2021/09/t_picture.png 491w, https://www.dmitrymakarov.ru/wp-content/uploads/2021/09/t_picture-300x153.png 300w" sizes="(max-width: 491px) 100vw, 491px" /></figure>



<h4 class="wp-block-heading" id="58-masked-array">Masked array</h4>



<p>Альтернативный способ фильтрации массива Numpy предполагает использование <strong>модуля ma</strong> (masked array).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf0008595293" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf0008595293-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf0008595293-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf0008595293-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf0008595293-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf0008595293-5">5</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf0008595293-1"><span class="crayon-c"># импортируем модуль ma</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf0008595293-2"><span class="crayon-r">import</span><span class="crayon-h"> </span><span class="crayon-v">numpy</span><span class="crayon-sy">.</span><span class="crayon-e">ma </span><span class="crayon-st">as</span><span class="crayon-h"> </span><span class="crayon-i">ma</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf0008595293-3">&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf0008595293-4"><span class="crayon-c"># вновь воспользуемся массивом с отрицательными числами</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf0008595293-5"><span class="crayon-v">a</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">3</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-o">-</span><span class="crayon-cn">4</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0003 seconds] -->
</div>



<p>В отличие от описанного выше логического фильтра, в masked array <em>опускаются элементы, помеченные как 1 или True</em>.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf1981830752" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf1981830752-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf1981830752-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf1981830752-1"><span class="crayon-c"># функции masked_array мы передаем сам массив и его маску с 0 или 1</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf1981830752-2"><span class="crayon-v">ma</span><span class="crayon-sy">.</span><span class="crayon-e">masked_array</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">mask</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">1</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf2214650794" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf2214650794-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf2214650794-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf2214650794-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf2214650794-1">masked_array(data=[5, 7, --, 4, 2, --],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf2214650794-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; mask=[False, False,&nbsp;&nbsp;True, False, False,&nbsp;&nbsp;True],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf2214650794-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; fill_value=999999)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf3985780917" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf3985780917-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf3985780917-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf3985780917-1"><span class="crayon-c"># можно также передать значения False или True</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf3985780917-2"><span class="crayon-v">ma</span><span class="crayon-sy">.</span><span class="crayon-e">masked_array</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">mask</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-sy">[</span><span class="crayon-t">False</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-t">False</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-t">True</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-t">False</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-t">False</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-t">True</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf4344795529" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf4344795529-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf4344795529-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf4344795529-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf4344795529-1">masked_array(data=[5, 7, --, 4, 2, --],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf4344795529-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; mask=[False, False,&nbsp;&nbsp;True, False, False,&nbsp;&nbsp;True],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf4344795529-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; fill_value=999999)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Обратите внимание, нежелательные значения не исчезают полностью, а заполняются 
			<span id="urvanov-syntax-highlighter-672da5153acf5027202745" class="urvanov-syntax-highlighter-syntax urvanov-syntax-highlighter-syntax-inline  crayon-theme-familiar-my-copy crayon-theme-familiar-my-copy-inline urvanov-syntax-highlighter-font-consolas" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important;"><span class="crayon-pre urvanov-syntax-highlighter-code" style="font-size: 16px !important; line-height: 22px !important;font-size: 16px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><span class="crayon-o">--</span></span></span>.</p>



<p>Кроме того, для некоторых логических условий есть отдельные функции. Например, мы можем опустить все элементы меньше определенного значения.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf6765206993" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf6765206993-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf6765206993-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf6765206993-1"><span class="crayon-c"># в данном случае меньше 0</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf6765206993-2"><span class="crayon-v">ma</span><span class="crayon-sy">.</span><span class="crayon-e">masked_less</span><span class="crayon-sy">(</span><span class="crayon-v">a</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">0</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf7817378703" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf7817378703-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acf7817378703-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf7817378703-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf7817378703-1">masked_array(data=[5, 7, --, 4, 2, --],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acf7817378703-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; mask=[False, False,&nbsp;&nbsp;True, False, False,&nbsp;&nbsp;True],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf7817378703-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; fill_value=999999)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Рассмотрим еще одну возможность модуля <strong>ma</strong>. Возьмем массив, в котором есть пропущенные значения (NaN, Not a Number) и значение бесконечности (inf, infinity).</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf8556599738" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf8556599738-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf8556599738-1"><span class="crayon-v">b</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-k ">array</span><span class="crayon-sy">(</span><span class="crayon-sy">[</span><span class="crayon-cn">5</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">7</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-v">nan</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">4</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-cn">2</span><span class="crayon-sy">,</span><span class="crayon-h"> </span><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-v">inf</span><span class="crayon-sy">]</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0002 seconds] -->
</div>



<p>Если мы попробуем посчитать сумму этих значений, результатом будет пропущенное значение.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acf9584570482" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acf9584570482-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acf9584570482-1"><span class="crayon-v">b</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acfa106850999" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfa106850999-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfa106850999-1">nan</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Для решения этой проблемы мы можем применить <strong>функцию masked_invalid()</strong>. Она автоматически отфильтровывает пропущенные значения и значения бесконечности.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acfb679543160" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfb679543160-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acfb679543160-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfb679543160-1"><span class="crayon-v">b_masked</span><span class="crayon-h"> </span><span class="crayon-o">=</span><span class="crayon-h"> </span><span class="crayon-v">ma</span><span class="crayon-sy">.</span><span class="crayon-e">masked_invalid</span><span class="crayon-sy">(</span><span class="crayon-v">b</span><span class="crayon-sy">)</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acfb679543160-2"><span class="crayon-v">b_masked</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acfc266035176" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfc266035176-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acfc266035176-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfc266035176-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfc266035176-1">masked_array(data=[5.0, 7.0, --, 4.0, 2.0, --],</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acfc266035176-2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; mask=[False, False,&nbsp;&nbsp;True, False, False,&nbsp;&nbsp;True],</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfc266035176-3">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; fill_value=1e+20)</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Теперь мы можем без труда сложить оставшиеся элементы.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acfd844920739" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfd844920739-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfd844920739-1"><span class="crayon-v">b_masked</span><span class="crayon-sy">.</span><span class="crayon-k ">sum</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acfe539599319" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acfe539599319-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acfe539599319-1">18.0</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Более того, с помощью <strong>метода .filled()</strong> мы можем заполнить образовавшиеся пропуски. Например, средним арифметическим оставшихся элементов.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153acff823474220" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acff823474220-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153acff823474220-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153acff823474220-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acff823474220-1"><span class="crayon-c"># использование среднего значения часто является более предпочтительным</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153acff823474220-2"><span class="crayon-c"># способом заполнения пропусков</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153acff823474220-3"><span class="crayon-v">b_masked</span><span class="crayon-sy">.</span><span class="crayon-e">filled</span><span class="crayon-sy">(</span><span class="crayon-v">b_masked</span><span class="crayon-sy">.</span><span class="crayon-e">mean</span><span class="crayon-sy">(</span><span class="crayon-sy">)</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad00678513361" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad00678513361-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad00678513361-1">array([5. , 7. , 4.5, 4. , 2. , 4.5])</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>Прежде чем завершить, рассмотрим еще одну дополнительную тему, а именно вызов справки непосредственно в Google Colab.</p>



<h2 class="wp-block-heading" id="59-dokumentatsiya">Документация</h2>



<p>Справку по функции можно вызвать с помощью знака вопроса. Документация появится в отдельном окне.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad01537803189" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad01537803189-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad01537803189-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad01537803189-1"><span class="crayon-c"># знак вопроса может стоять перед</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad01537803189-2"><span class="crayon-sy">?</span><span class="crayon-k ">print</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad02011465111" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad02011465111-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad02011465111-2">2</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad02011465111-1"><span class="crayon-c"># или после вызываемой функции</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad02011465111-2"><span class="crayon-k ">print</span><span class="crayon-sy">?</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<p>Обратите внимание, мы не использовали круглых скобок.</p>



<p>Кроме того, можно применить <strong>функцию help()</strong>. В этом случае документация появится под вызываемой функцией.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad03674750843" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad03674750843-1">1</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad03674750843-1"><span class="crayon-k ">help</span><span class="crayon-sy">(</span><span class="crayon-k ">print</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad04610125814" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad04610125814-11">11</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-1">Help on built-in function print in module builtins:</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-2">&nbsp;</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-3">print(...)</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-4">&nbsp;&nbsp;&nbsp;&nbsp;print(value, ..., sep=' ', end='\n', file=sys.stdout, flush=False)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-5">&nbsp;&nbsp;&nbsp;&nbsp;</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-6">&nbsp;&nbsp;&nbsp;&nbsp;Prints the values to a stream, or to sys.stdout by default.</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-7">&nbsp;&nbsp;&nbsp;&nbsp;Optional keyword arguments:</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-8">&nbsp;&nbsp;&nbsp;&nbsp;file:&nbsp;&nbsp;a file-like object (stream); defaults to the current sys.stdout.</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-9">&nbsp;&nbsp;&nbsp;&nbsp;sep:&nbsp;&nbsp; string inserted between values, default a space.</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-10">&nbsp;&nbsp;&nbsp;&nbsp;end:&nbsp;&nbsp; string appended after the last value, default a newline.</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad04610125814-11">&nbsp;&nbsp;&nbsp;&nbsp;flush: whether to forcibly flush the stream.</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<p>С помощью <strong>функции np.lookfor()</strong> мы можем осуществить поиск непосредственно по документации Numpy.</p>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad05402803262" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad05402803262-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad05402803262-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad05402803262-3">3</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad05402803262-1"><span class="crayon-c"># поиск будет выполнен по передаваемому ключевому слову,</span></div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad05402803262-2"><span class="crayon-c"># а результаты отсортированы по важности</span></div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad05402803262-3"><span class="crayon-v">np</span><span class="crayon-sy">.</span><span class="crayon-e">lookfor</span><span class="crayon-sy">(</span><span class="crayon-s">'randint'</span><span class="crayon-sy">)</span></div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0001 seconds] -->
</div>



<div class="wp-block-urvanov-syntax-highlighter-code-block"><!-- Urvanov Syntax Highlighter v2.8.37 -->

		<div id="urvanov-syntax-highlighter-672da5153ad06166146718" class="urvanov-syntax-highlighter-syntax crayon-theme-familiar-my-copy urvanov-syntax-highlighter-font-consolas urvanov-syntax-highlighter-os-pc print-yes notranslate" data-settings=" minimize scroll-always" style=" margin-top: 15px; margin-bottom: 15px; margin-left: 15px; margin-right: 15px; font-size: 16px !important; line-height: 22px !important;">
		
			<div class="urvanov-syntax-highlighter-plain-wrap"></div>
			<div class="urvanov-syntax-highlighter-main" style="">
				<table class="crayon-table">
					<tr class="urvanov-syntax-highlighter-row">
				<td class="crayon-nums " data-settings="show">
					<div class="urvanov-syntax-highlighter-nums-content" style="font-size: 16px !important; line-height: 22px !important;"><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-1">1</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-2">2</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-3">3</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-4">4</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-5">5</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-6">6</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-7">7</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-8">8</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-9">9</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-10">10</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-11">11</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-12">12</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-13">13</div><div class="crayon-num crayon-striped-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-14">14</div><div class="crayon-num" data-line="urvanov-syntax-highlighter-672da5153ad06166146718-15">15</div></div>
				</td>
						<td class="urvanov-syntax-highlighter-code"><div class="crayon-pre" style="font-size: 16px !important; line-height: 22px !important; -moz-tab-size:4; -o-tab-size:4; -webkit-tab-size:4; tab-size:4;"><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-1">Search results for 'randint'</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-2">----------------------------</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-3">numpy.random.RandomState.randint</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-4">&nbsp;&nbsp;&nbsp;&nbsp;Return random integers from `low` (inclusive) to `high` (exclusive).</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-5">numpy.chararray.item</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-6">&nbsp;&nbsp;&nbsp;&nbsp;a.item(*args)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-7">numpy.chararray.itemset</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-8">&nbsp;&nbsp;&nbsp;&nbsp;a.itemset(*args)</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-9">numpy.random.tests.test_random.TestRandint.rfunc</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-10">&nbsp;&nbsp;&nbsp;&nbsp;Return random integers from `low` (inclusive) to `high` (exclusive).</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-11">numpy.random.Generator.integers</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-12">&nbsp;&nbsp;&nbsp;&nbsp;Return random integers from `low` (inclusive) to `high` (exclusive), or</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-13">numpy.random.RandomState.choice</div><div class="crayon-line crayon-striped-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-14">&nbsp;&nbsp;&nbsp;&nbsp;Generates a random sample from a given 1-D array</div><div class="crayon-line" id="urvanov-syntax-highlighter-672da5153ad06166146718-15">...</div></div></td>
					</tr>
				</table>
			</div>
		</div>
<!-- [Format Time: 0.0000 seconds] -->
</div>



<h2 class="wp-block-heading" id="60-podvedem-itog">Подведем итог</h2>



<p>На сегодняшнем занятии мы достаточно подробно рассмотрели массив Numpy. В частности, мы узнали о том, как создавать массив, какие у него есть атрибуты и как реализована многомерность массива. Мы изучили индексы и оси, а также поговорили про основные операции с массивами.</p>



<h3 class="wp-block-heading" id="61-voprosy-dlya-zakrepleniya">Вопросы для закрепления</h3>



<p class="has-black-color has-text-color has-background" style="background-color:#ffe8c4">Вопрос. Как выяснить очередность осей массива?</p>


<div class="wp-block-ub-content-toggle" id="ub-content-toggle-15cefa7b-cf15-483c-9272-414f61f74e8f" data-mobilecollapse="true" data-desktopcollapse="true">
<div class="wp-block-ub-content-toggle-accordion" id="ub-content-toggle-panel-block-ca4a4ea3-f69b-42b6-bef5-8855c3608991">
                <div class="wp-block-ub-content-toggle-accordion-title-wrap"" aria-controls="ub-content-toggle-panel-0-15cefa7b-cf15-483c-9272-414f61f74e8f" tabindex="0">
                    <p class="wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-15cefa7b-cf15-483c-9272-414f61f74e8f">Посмотреть правильный ответ</p><div class="wp-block-ub-content-toggle-accordion-toggle-wrap left"><span class="wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-math-plus"></span>
                    </div></div><div role="region" aria-expanded="false" class="wp-block-ub-content-toggle-accordion-content-wrap ub-hide" id="ub-content-toggle-panel-0-15cefa7b-cf15-483c-9272-414f61f74e8f">

<p>Ответ: атрибут <strong>shape</strong> на первое место ставит элементы внешнего измерения (внешних скобок), на последнее &#8212; внутренних. Внешнее измерение &#8212; это первая ось (axis = 0), внутренее &#8212; последняя (axis =  −1).</p>

</div></div>
</div>


<p class="has-black-color has-text-color has-background" style="background-color:#ffe8c4">Вопрос. Что происходит с осью (измерением), вдоль которой происходит сложение элементов массива?</p>


<div class="wp-block-ub-content-toggle" id="ub-content-toggle-57689cc8-e409-4367-a371-1c3298e24974" data-mobilecollapse="true" data-desktopcollapse="true">
<div class="wp-block-ub-content-toggle-accordion" id="ub-content-toggle-panel-block-efaac331-7799-452b-96c4-060ef3796ebc">
                <div class="wp-block-ub-content-toggle-accordion-title-wrap"" aria-controls="ub-content-toggle-panel-0-57689cc8-e409-4367-a371-1c3298e24974" tabindex="0">
                    <p class="wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-57689cc8-e409-4367-a371-1c3298e24974">Посмотреть правильный ответ</p><div class="wp-block-ub-content-toggle-accordion-toggle-wrap left"><span class="wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-math-plus"></span>
                    </div></div><div role="region" aria-expanded="false" class="wp-block-ub-content-toggle-accordion-content-wrap ub-hide" id="ub-content-toggle-panel-0-57689cc8-e409-4367-a371-1c3298e24974">

<p>Ответ: это измерение исчезает (и соответственно перестает фигурировать в атрибуте <strong>shape</strong>) за счет агрегирования его элементов.</p>

</div></div>
</div>


<p class="has-black-color has-text-color has-background" style="background-color:#ffe8c4">Вопрос. Как отсортировать массив в убывающем порядке?</p>


<div class="wp-block-ub-content-toggle" id="ub-content-toggle-2a5e0651-723f-4453-8bf7-e90c2e4ab279" data-mobilecollapse="true" data-desktopcollapse="true">
<div class="wp-block-ub-content-toggle-accordion" id="ub-content-toggle-panel-block-b8f3990d-b118-42d4-80cf-a12901a186b7">
                <div class="wp-block-ub-content-toggle-accordion-title-wrap"" aria-controls="ub-content-toggle-panel-0-2a5e0651-723f-4453-8bf7-e90c2e4ab279" tabindex="0">
                    <p class="wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2a5e0651-723f-4453-8bf7-e90c2e4ab279">Посмотреть правильный ответ</p><div class="wp-block-ub-content-toggle-accordion-toggle-wrap left"><span class="wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-math-plus"></span>
                    </div></div><div role="region" aria-expanded="false" class="wp-block-ub-content-toggle-accordion-content-wrap ub-hide" id="ub-content-toggle-panel-0-2a5e0651-723f-4453-8bf7-e90c2e4ab279">

<p>Ответ: применить функцию <strong>np.sort()</strong> или метод <strong>.sort()</strong> вместе с оператором среза с отрицательным шагом.</p>

</div></div>
</div>


<p>На <a href="https://www.dmitrymakarov.ru/python/npmath-10/">следующем занятии</a> мы сделаем акцент на математических и статистических возможностях библиотеки Numpy.</p>

			</div> <!-- .content -->

			
		</div> <!-- .post -->

					<footer class="site-footer section-inner">

				<!--<p class="copyright">&copy; 2024 <a href="https://www.dmitrymakarov.ru" class="site-name">Машинное обучение</a></p>-->

			</footer> <!-- footer -->

		</main>
		
		<script type="text/javascript" src="//cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js?ver=6.6.2" id="mathjax-js"></script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-content/plugins/ultimate-blocks/src/blocks/content-toggle/front.build.js?ver=3.2.2" id="ultimate_blocks-content-toggle-front-script-js"></script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-content/plugins/ultimate-blocks/src/blocks/table-of-contents/front.build.js?ver=3.2.2" id="ultimate_blocks-table-of-contents-front-script-js"></script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-includes/js/imagesloaded.min.js?ver=5.0.0" id="imagesloaded-js"></script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-includes/js/masonry.min.js?ver=4.2.2" id="masonry-js"></script>
<script type="text/javascript" id="mcluhan_global-js-extra">
/* <![CDATA[ */
var mcluhan_ajaxpagination = {"ajaxurl":"https:\/\/www.dmitrymakarov.ru\/wp-admin\/admin-ajax.php","query_vars":"{\"page\":\"\",\"pagename\":\"python\\\/numpy-09\"}"};
/* ]]> */
</script>
<script type="text/javascript" src="https://www.dmitrymakarov.ru/wp-content/themes/mcluhan/assets/js/global.js?ver=2.1.1" id="mcluhan_global-js"></script>
			
	</body>
</html>