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main
test/typst-reader.native
5 349 строк
185 KB
John MacFarlane
Typst reader/writer: use `divider()` for horizontal rule.
09 июл 2026, 02:12
09 июл 2026, 02:12
d2f33e5
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Pandoc Meta { unMeta = fromList [] } [ Header 1 ( "" , [] , [] ) [ Str "Fibonacci" , Space , Str "sequence" ] , Para [ Str "The" , Space , Str "Fibonacci" , Space , Str "sequence" , Space , Str "is" , Space , Str "defined" , Space , Str "through" , Space , Str "the" , SoftBreak , Str "recurrence" , Space , Str "relation" , Space , Math InlineMath "F_{n} = F_{n - 1} + F_{n - 2}" , Str "." , SoftBreak , Str "It" , Space , Str "can" , Space , Str "also" , Space , Str "be" , Space , Str "expressed" , Space , Str "in" , Space , Emph [ Str "closed" , Space , Str "form:" ] ] , Para [ Math DisplayMath "F_{n} = \\left\\lfloor {\\frac{1}{\\sqrt{5}}\\phi^{n}} \\right\\rceil,\\quad\\phi = \\frac{1 + \\sqrt{5}}{2}" ] , Para [ Str "The" , Space , Str "first" , Space , Str "8" , Space , Str "numbers" , Space , Str "of" , Space , Str "the" , Space , Str "sequence" , Space , Str "are:" ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{1}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{2}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{3}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{4}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{5}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{6}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{7}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "F_{8}" ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "1" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "1" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "2" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "3" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "5" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "8" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "13" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "21" ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Div ( "" , [ "columns-flow" ] , [ ( "count" , "2" ) ] ) [ Para [ Span ( "" , [] , [ ( "align" , "center" ) ] ) [ Link ( "" , [] , [] ) [ SoftBreak , Strong [ Str "Typst" , Space , Str "Math" , Space , Str "for" , Space , Str "Undergrads" ] , SoftBreak ] ( "https://github.com/johanvx/typst-undergradmath" , "" ) ] ] , Para [ Str "This" , Space , Str "is" , Space , Str "a" , Space , Str "Typst" , Space , Str "port" , Space , Str "of" , Space , Emph [ Span ( "" , [ "box" ] , [] ) [ Str "L\8202A\8202" , Span ( "" , [ "box" ] , [] ) [ Str "T\8202E\8202X" ] ] , Space , Str "Math" , Space , Str "for" , Space , Str "Undergrads" ] , Space , Str "by" , Space , Str "Jim" , Space , Str "Hefferon." , SoftBreak , Str "The" , Space , Str "original" , Space , Str "version" , Space , Str "is" , Space , Str "available" , Space , Str "at" , Space , Underline [ Link ( "" , [] , [] ) [ Str "https://gitlab.com/jim.hefferon/undergradmath" ] ( "https://gitlab.com/jim.hefferon/undergradmath" , "" ) ] , Str "." ] , Para [ Strong [ Str "Meaning" , Space , Str "of" , Space , Str "annotations\8192\160" ] ] , Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidth 0.3333333333333333 ) , ( AlignLeft , ColWidth 0.6666666666666666 ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Str "2023-05-22" , Space , Str "\10060" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "This" , Space , Str "is" , Space , Str "unavailable." , Space , Str "Last" , Space , Str "check" , Space , Str "date" , Space , Str "is" , Space , Str "2023-05-22." ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) , Para [ Span ( "unavailable" , [] , [] ) [] ] , Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidth 0.3333333333333333 ) , ( AlignLeft , ColWidth 0.6666666666666666 ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Str "\128166" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "Get" , Space , Str "this" , Space , Str "in" , Space , Str "a" , Space , Str "tricky" , Space , Str "way." , Space , Str "Need" , Space , Str "a" , Space , Str "simpler" , Space , Str "method." ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) , Para [ Span ( "tricky" , [] , [] ) [] ] , Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidth 0.3333333333333333 ) , ( AlignLeft , ColWidth 0.6666666666666666 ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Str "No" , Space , Str "idea" , Space , Str "\128533" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Str "Don\8217t" , Space , Str "know" , Space , Str "how" , Space , Str "to" , Space , Str "get" , Space , Str "this." ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) , Para [ Span ( "noidea" , [] , [] ) [] ] , Para [ Strong [ Str "Rule" , Space , Str "One\8192\160" ] , Str "Any" , Space , Str "mathematics" , Space , Str "at" , Space , Str "all," , Space , Str "even" , Space , Str "a" , Space , Str "single" , Space , Str "character," , Space , Str "gets" , Space , Str "a" , Space , Str "mathematical" , Space , Str "setting." , SoftBreak , Str "Thus," , Space , Str "for" , Space , Str "\8220the" , Space , Str "value" , Space , Str "of" , Space , Math InlineMath "x" , Space , Str "is" , Space , Math InlineMath "7" , Str "\8221" , Space , Str "enter" , Space , Code ( "" , [] , [] ) "the value of $x$ is $7$" , Str "." ] , Para [ Strong [ Str "Template\8192\160" ] , Str "Your" , Space , Str "document" , Space , Str "should" , Space , Str "contain" , Space , Str "at" , Space , Str "least" , Space , Str "this." ] , Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "-- document body here --" ] ] ] ] (TableFoot ( "" , [] , [] ) []) , Para [ Strong [ Str "Common" , Space , Str "constructs\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "x^{2}" , Str "\8192" , Code ( "" , [] , [] ) "x^2" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sqrt{2}" , Str "," , Space , Math InlineMath "\\sqrt[n]{3}" , Str "\8192" , Code ( "" , [] , [] ) "sqrt(2)" , Str "," , Space , Code ( "" , [] , [] ) "root(n, 3)" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "x_{i,j}" , Str "\8192" , Code ( "" , [] , [] ) "x_(i, j)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\frac{2}{3}" , Str "," , Space , Math InlineMath "2/3" , Str "\8192" , Code ( "" , [] , [] ) "2 / 3" , Str "," , Space , Code ( "" , [] , [] ) "2 \\/ 3" , Space , Str "or" , Space , Code ( "" , [] , [] ) "2 slash 3" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Calligraphic" , Space , Str "letters\8192\160" ] , Str "Use" , Space , Str "as" , Space , Str "in" , Space , Code ( "" , [] , [] ) "$cal(A)$" , Str "." ] , Para [ Math DisplayMath "\\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}" ] , Para [ Str "Getting" , Space , Str "script" , Space , Str "letters" , Space , Str "is" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[unavailable]" ] ( "#unavailable" , "" ) , Str "." ] , Para [ Strong [ Str "Greek\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\alpha" , Str "\8192" , Code ( "" , [] , [] ) "alpha" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\xi" , Str "," , Space , Math InlineMath "\\Xi" , Str "\8192" , Code ( "" , [] , [] ) "xi" , Str "," , Space , Code ( "" , [] , [] ) "Xi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\beta" , Str "\8192" , Code ( "" , [] , [] ) "beta" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\959" , Str "\8192" , Code ( "" , [] , [] ) "omicron" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\gamma" , Str "," , Space , Math InlineMath "\\Gamma" , Str "\8192" , Code ( "" , [] , [] ) "gamma" , Str "," , Space , Code ( "" , [] , [] ) "Gamma" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\pi" , Str "," , Space , Math InlineMath "\\Pi" , Str "\8192" , Code ( "" , [] , [] ) "pi" , Str "," , Space , Code ( "" , [] , [] ) "Pi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\delta" , Str "," , Space , Math InlineMath "\\Delta" , Str "\8192" , Code ( "" , [] , [] ) "delta" , Str "," , Space , Code ( "" , [] , [] ) "Delta" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varpi" , Str "\8192" , Code ( "" , [] , [] ) "pi.alt" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\epsilon" , Str "\8192" , Code ( "" , [] , [] ) "epsilon.alt" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\rho" , Str "\8192" , Code ( "" , [] , [] ) "rho" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varepsilon" , Str "\8192" , Code ( "" , [] , [] ) "epsilon" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varrho" , Str "\8192" , Code ( "" , [] , [] ) "rho.alt" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\zeta" , Str "\8192" , Code ( "" , [] , [] ) "zeta" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sigma" , Str "," , Space , Math InlineMath "\\Sigma" , Str "\8192" , Code ( "" , [] , [] ) "sigma" , Str "," , Space , Code ( "" , [] , [] ) "Sigma" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\eta" , Str "\8192" , Code ( "" , [] , [] ) "eta" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varsigma" , Str "\8192" , Code ( "" , [] , [] ) "\\u{03C2}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\theta" , Str "," , Space , Math InlineMath "\\Theta" , Str "\8192" , Code ( "" , [] , [] ) "theta" , Str "," , Space , Code ( "" , [] , [] ) "Theta" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\tau" , Str "\8192" , Code ( "" , [] , [] ) "tau" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\vartheta" , Str "\8192" , Code ( "" , [] , [] ) "theta.alt" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\upsilon" , Str "," , Space , Math InlineMath "\\Upsilon" , Str "\8192" , Code ( "" , [] , [] ) "upsilon" , Str "," , Space , Code ( "" , [] , [] ) "Upsilon" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\iota" , Str "\8192" , Code ( "" , [] , [] ) "iota" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\phi" , Str "," , Space , Math InlineMath "\\Phi" , Str "\8192" , Code ( "" , [] , [] ) "phi.alt" , Str "," , Space , Code ( "" , [] , [] ) "Phi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\kappa" , Str "\8192" , Math InlineMath "\922" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varphi" , Str "\8192" , Code ( "" , [] , [] ) "phi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\lambda" , Str "," , Space , Math InlineMath "\\Lambda" , Str "\8192" , Code ( "" , [] , [] ) "lambda" , Str "," , Space , Code ( "" , [] , [] ) "Lambda" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\chi" , Str "\8192" , Code ( "" , [] , [] ) "chi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mu" , Str "\8192" , Code ( "" , [] , [] ) "mu" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\psi" , Str "," , Space , Math InlineMath "\\Psi" , Str "\8192" , Code ( "" , [] , [] ) "psi" , Str "," , Space , Code ( "" , [] , [] ) "Psi" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nu" , Str "\8192" , Code ( "" , [] , [] ) "nu" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\omega" , Str "," , Space , Math InlineMath "\\Omega" , Str "\8192" , Code ( "" , [] , [] ) "omega" , Str "," , Space , Code ( "" , [] , [] ) "Omega" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Sets" , Space , Str "and" , Space , Str "logic\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cup" , Str "\8192" , Code ( "" , [] , [] ) "union" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mathbb{R}" , Str "\8192" , Code ( "" , [] , [] ) "RR" , Str "," , Space , Code ( "" , [] , [] ) "bb(R)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\forall" , Str "\8192" , Code ( "" , [] , [] ) "forall" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cap" , Str "\8192" , Code ( "" , [] , [] ) "inter" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mathbb{Z}" , Str "\8192" , Code ( "" , [] , [] ) "ZZ" , Str "," , Space , Code ( "" , [] , [] ) "bb(Z)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\exists" , Str "\8192" , Code ( "" , [] , [] ) "exists" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\subset" , Str "\8192" , Code ( "" , [] , [] ) "subset" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mathbb{Q}" , Str "\8192" , Code ( "" , [] , [] ) "QQ" , Str "," , Space , Code ( "" , [] , [] ) "bb(Q)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\neg" , Str "\8192" , Code ( "" , [] , [] ) "not" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\subseteq" , Str "\8192" , Code ( "" , [] , [] ) "subset.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mathbb{N}" , Str "\8192" , Code ( "" , [] , [] ) "NN" , Str "," , Space , Code ( "" , [] , [] ) "bb(N)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\vee" , Str "\8192" , Code ( "" , [] , [] ) "or" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\supset" , Str "\8192" , Code ( "" , [] , [] ) "supset" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mathbb{C}" , Str "\8192" , Code ( "" , [] , [] ) "CC" , Str "," , Space , Code ( "" , [] , [] ) "bb(C)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\land" , Str "\8192" , Code ( "" , [] , [] ) "and" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\supseteq" , Str "\8192" , Code ( "" , [] , [] ) "supset.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varnothing" , Str "\8192" , Code ( "" , [] , [] ) "diameter" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\vdash" , Str "\8192" , Code ( "" , [] , [] ) "tack.r" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\in" , Str "\8192" , Code ( "" , [] , [] ) "in" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\varnothing" , Str "\8192" , Code ( "" , [] , [] ) "nothing" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\models" , Str "\8192" , Code ( "" , [] , [] ) "models" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\notin" , Str "\8192" , Code ( "" , [] , [] ) "in.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\1488" , Str "\8192" , Code ( "" , [] , [] ) "aleph" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\smallsetminus" , Str "\8192" , Code ( "" , [] , [] ) "without" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "Negate" , Space , Str "an" , Space , Str "operator," , Space , Str "as" , Space , Str "in" , Space , Math InlineMath "\8836" , Str "," , Space , Str "with" , Space , Code ( "" , [] , [] ) "subset.not" , Str "." , SoftBreak , Str "Get" , Space , Str "the" , Space , Str "set" , Space , Str "complement" , Space , Math InlineMath "A^{\\mathsf{c}}" , Space , Str "with" , Space , Code ( "" , [] , [] ) "A^(sans(c))" , Space , Str "(or" , Space , Math InlineMath "A^{\\complement}" , Space , Str "with" , Space , Code ( "" , [] , [] ) "A^(complement)" , Str "," , Space , Str "or" , Space , Math InlineMath "\\overline{A}" , Space , Str "with" , Space , Code ( "" , [] , [] ) "overline(A)" , Str ")." ] , DefinitionList [ ( [ Str "Remark" ] , [ [ Para [ Str "Using" , Space , Code ( "" , [] , [] ) "diameter" , Space , Str "for" , Space , Code ( "" , [] , [] ) "\\varnothing" , Space , Str "may" , Space , Str "cause" , Space , Str "some" , Space , Str "confusion." , Space , Str "However," , Space , Span ( "" , [ "box" ] , [] ) [ Str "L\8202A\8202" , Span ( "" , [ "box" ] , [] ) [ Str "T\8202E\8202X" ] ] , Space , Str "also" , Space , Str "uses" , Space , Math InlineMath "\\varnothing" , Space , Str "(" , Code ( "" , [] , [] ) "\\u{2300}" , Str ")" , Space , Str "instead" , Space , Str "of" , Space , Math InlineMath "\\varnothing" , Space , Str "(" , Code ( "" , [] , [] ) "\\u{2205}" , Str ")," , Space , Str "see" , Space , Underline [ Link ( "" , [] , [] ) [ Str "newcm" , Space , Math InlineMath "\167" , Str "13.3" ] ( "https://mirrors.sustech.edu.cn/CTAN/fonts/newcomputermodern/doc/newcm-doc.pdf" , "" ) ] , Str "." , SoftBreak , Str "Another" , Space , Str "solution" , Space , Str "is" , Space , Str "to" , Space , Str "use" , Space , Code ( "" , [] , [] ) "text(font: \"Fira Sans\", nothing)" , Str "," , Space , Str "but" , Space , Str "the" , Space , Str "resultant" , Space , Str "glyph" , Space , Math InlineMath "\\varnothing" , Space , Str "is" , Space , Str "subtly" , Space , Str "different" , Space , Str "from" , Space , Str "the" , Space , Str "widely" , Space , Str "used" , Space , Str "one." , SoftBreak , Str "Ultimately," , Space , Str "the" , Space , Str "choice" , Space , Str "is" , Space , Str "always" , Space , Strong [ Str "your" , Space , Str "decision" ] , Str "." ] ] ] ) ] , Para [ Strong [ Str "Decorations\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "f'" , Str "\8192" , Code ( "" , [] , [] ) "f'" , Str "," , Space , Code ( "" , [] , [] ) "f prime" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\dot{a}" , Str "\8192" , Code ( "" , [] , [] ) "dot(a)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\widetilde{a}" , Str "\8192" , Code ( "" , [] , [] ) "tilde(a)" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "f''" , Str "\8192" , Code ( "" , [] , [] ) "f prime.double" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ddot{a}" , Str "\8192" , Code ( "" , [] , [] ) "diaer(a)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\overline{a}" , Str "\8192" , Code ( "" , [] , [] ) "macron(a)" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\Sigma^{\\ast}" , Str "\8192" , Code ( "" , [] , [] ) "Sigma^*" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\hat{a}" , Str "\8192" , Code ( "" , [] , [] ) "hat(a)" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\overset{\\rightarrow}{a}" , Str "\8192" , Code ( "" , [] , [] ) "arrow(a)" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "If" , Space , Str "the" , Space , Str "decorated" , Space , Str "letter" , Space , Str "is" , Space , Math InlineMath "i" , Space , Str "or" , Space , Math InlineMath "j" , Space , Str "then" , Space , Str "some" , Space , Str "decorations" , Space , Str "need" , Space , Code ( "" , [] , [] ) "\\u{1D6A4}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) , Space , Str "and" , Space , Code ( "" , [] , [] ) "\\u{1D6A5}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) , Str "," , Space , Str "as" , Space , Str "in" , Space , Math InlineMath "\\overset{\\rightarrow}{\\imath}" , Space , Str "with" , Space , Code ( "" , [] , [] ) "arrow(\\u{1D6A4})" , Str "." , SoftBreak , Str "Some" , Space , Str "authors" , Space , Str "use" , Space , Str "boldface" , Space , Str "for" , Space , Str "vectors:" , Space , Code ( "" , [] , [] ) "bold(x)" , Str "." ] , Para [ Str "Entering" , Space , Code ( "" , [] , [] ) "overline(x + y)" , Space , Str "produces" , Space , Math InlineMath "\\overline{x + y}" , Str "," , Space , Str "and" , Space , Code ( "" , [] , [] ) "hat(x + y)" , Space , Str "gives" , Space , Math InlineMath "\\hat{x + y}" , Str "." , SoftBreak , Str "Comment" , Space , Str "on" , Space , Str "an" , Space , Str "expression" , Space , Str "as" , Space , Str "here" , Space , Str "(there" , Space , Str "is" , Space , Str "also" , Space , Code ( "" , [] , [] ) "overbrace(..)" , Str ")." ] , Para [ Span ( "" , [] , [ ( "align" , "center" ) ] ) [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\underset{|A|}{\\underbrace{x + y}}" , Str "\8192" , Code ( "" , [] , [] ) "underbrace(x + y, |A|)" ] ] ] , Para [ Strong [ Str "Dots\8192\160" ] , Str "Use" , Space , Str "low" , Space , Str "dots" , Space , Str "in" , Space , Str "a" , Space , Str "list" , Space , Math InlineMath "\\left\\{ 0,1,2,\\ldots \\right\\}" , Str "," , Space , Str "entered" , Space , Str "as" , Space , Code ( "" , [] , [] ) "{0, 1, 2, ...}" , Str "." , SoftBreak , Str "Use" , Space , Str "centered" , Space , Str "dots" , Space , Str "in" , Space , Str "a" , Space , Str "sum" , Space , Str "or" , Space , Str "product" , Space , Math InlineMath "1 + \\cdots + 100" , Str "," , Space , Str "entered" , Space , Str "as" , Space , Code ( "" , [] , [] ) "1 + dots.h.c + 100" , Str "." , SoftBreak , Str "You" , Space , Str "can" , Space , Str "also" , Space , Str "get" , Space , Str "vertical" , Space , Str "dots" , Space , Code ( "" , [] , [] ) "dots.v" , Str "," , Space , Str "diagonal" , Space , Str "dots" , Space , Code ( "" , [] , [] ) "dots.down" , Space , Str "and" , Space , Str "anti-diagonal" , Space , Str "dots" , Space , Code ( "" , [] , [] ) "dots.up" , Str "." ] , Para [ Strong [ Str "Roman" , Space , Str "names\8192\160" ] , Str "Just" , Space , Str "type" , Space , Str "them!" ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sin" , Str "\8192" , Code ( "" , [] , [] ) "sin" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sinh" , Str "\8192" , Code ( "" , [] , [] ) "sinh" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\arcsin" , Str "\8192" , Code ( "" , [] , [] ) "arcsin" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cos" , Str "\8192" , Code ( "" , [] , [] ) "cos" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cosh" , Str "\8192" , Code ( "" , [] , [] ) "cosh" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\arccos" , Str "\8192" , Code ( "" , [] , [] ) "arccos" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\tan" , Str "\8192" , Code ( "" , [] , [] ) "tan" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\tanh" , Str "\8192" , Code ( "" , [] , [] ) "tanh" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\arctan" , Str "\8192" , Code ( "" , [] , [] ) "arctan" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sec" , Str "\8192" , Code ( "" , [] , [] ) "sec" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\coth" , Str "\8192" , Code ( "" , [] , [] ) "coth" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\min" , Str "\8192" , Code ( "" , [] , [] ) "min" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\csc" , Str "\8192" , Code ( "" , [] , [] ) "csc" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\det" , Str "\8192" , Code ( "" , [] , [] ) "det" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\max" , Str "\8192" , Code ( "" , [] , [] ) "max" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cot" , Str "\8192" , Code ( "" , [] , [] ) "cot" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\dim" , Str "\8192" , Code ( "" , [] , [] ) "dim" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\inf" , Str "\8192" , Code ( "" , [] , [] ) "inf" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\exp" , Str "\8192" , Code ( "" , [] , [] ) "exp" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ker" , Str "\8192" , Code ( "" , [] , [] ) "ker" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sup" , Str "\8192" , Code ( "" , [] , [] ) "sup" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\log" , Str "\8192" , Code ( "" , [] , [] ) "log" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\deg" , Str "\8192" , Code ( "" , [] , [] ) "deg" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\liminf" , Str "\8192" , Code ( "" , [] , [] ) "liminf" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ln" , Str "\8192" , Code ( "" , [] , [] ) "ln" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\arg" , Str "\8192" , Code ( "" , [] , [] ) "arg" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\limsup" , Str "\8192" , Code ( "" , [] , [] ) "limsup" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\lg" , Str "\8192" , Code ( "" , [] , [] ) "lg" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\gcd" , Str "\8192" , Code ( "" , [] , [] ) "gcd" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\lim" , Str "\8192" , Code ( "" , [] , [] ) "lim" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Other" , Space , Str "symbols\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "<" , Str "\8192" , Code ( "" , [] , [] ) "<" , Str "," , Space , Code ( "" , [] , [] ) "lt" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\angle" , Str "\8192" , Code ( "" , [] , [] ) "angle" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cdot" , Str "\8192" , Code ( "" , [] , [] ) "dot" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\leq" , Str "\8192" , Code ( "" , [] , [] ) "<=" , Str "," , Space , Code ( "" , [] , [] ) "lt.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\measuredangle" , Str "\8192" , Code ( "" , [] , [] ) "angle.arc" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\pm" , Str "\8192" , Code ( "" , [] , [] ) "plus.minus" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath ">" , Str "\8192" , Code ( "" , [] , [] ) ">" , Str "," , Space , Code ( "" , [] , [] ) "gt" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ell" , Str "\8192" , Code ( "" , [] , [] ) "ell" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mp" , Str "\8192" , Code ( "" , [] , [] ) "minus.plus" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\geq" , Str "\8192" , Code ( "" , [] , [] ) ">=" , Str "," , Space , Code ( "" , [] , [] ) "gt.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\parallel" , Str "\8192" , Code ( "" , [] , [] ) "parallel" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\times" , Str "\8192" , Code ( "" , [] , [] ) "times" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\neq" , Str "\8192" , Code ( "" , [] , [] ) "!=" , Str "," , Space , Code ( "" , [] , [] ) "eq.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "45{^\\circ}" , Str "\8192" , Code ( "" , [] , [] ) "45 degree" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\div" , Str "\8192" , Code ( "" , [] , [] ) "div" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ll" , Str "\8192" , Code ( "" , [] , [] ) "<<" , Str "," , Space , Code ( "" , [] , [] ) "lt.double" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\cong" , Str "\8192" , Code ( "" , [] , [] ) "tilde.equiv" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ast" , Str "\8192" , Code ( "" , [] , [] ) "*" , Str "," , Space , Code ( "" , [] , [] ) "ast" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\gg" , Str "\8192" , Code ( "" , [] , [] ) ">>" , Str "," , Space , Code ( "" , [] , [] ) "gt.double" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ncong" , Str "\8192" , Code ( "" , [] , [] ) "tilde.equiv.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mid" , Str "\8192" , Code ( "" , [] , [] ) "divides" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\approx" , Str "\8192" , Code ( "" , [] , [] ) "approx" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sim" , Str "\8192" , Code ( "" , [] , [] ) "tilde" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nmid" , Str "\8192" , Code ( "" , [] , [] ) "divides.not" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\asymp" , Str "\8192" , Code ( "" , [] , [] ) "\\u{224D}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\simeq" , Str "\8192" , Code ( "" , [] , [] ) "tilde.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "n!" , Str "\8192" , Code ( "" , [] , [] ) "n!" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\equiv" , Str "\8192" , Code ( "" , [] , [] ) "equiv" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nsim" , Str "\8192" , Code ( "" , [] , [] ) "tilde.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\partial" , Str "\8192" , Code ( "" , [] , [] ) "partial" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\prec" , Str "\8192" , Code ( "" , [] , [] ) "prec" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\oplus" , Str "\8192" , Code ( "" , [] , [] ) "plus.o" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nabla" , Str "\8192" , Code ( "" , [] , [] ) "nabla" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\preceq" , Str "\8192" , Code ( "" , [] , [] ) "prec.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\ominus" , Str "\8192" , Code ( "" , [] , [] ) "minus.o" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\295" , Str "\8192" , Code ( "" , [] , [] ) "planck" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\succ" , Str "\8192" , Code ( "" , [] , [] ) "succ" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\odot" , Str "\8192" , Code ( "" , [] , [] ) "dot.o" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\circ" , Str "\8192" , Code ( "" , [] , [] ) "circle.stroked.tiny" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\succeq" , Str "\8192" , Code ( "" , [] , [] ) "succ.eq" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\otimes" , Str "\8192" , Code ( "" , [] , [] ) "times.o" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\star" , Str "\8192" , Code ( "" , [] , [] ) "star" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\propto" , Str "\8192" , Code ( "" , [] , [] ) "prop" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\oslash" , Str "\8192" , Code ( "" , [] , [] ) "\\u{2298}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\sqrt{}" , Str "\8192" , Code ( "" , [] , [] ) "sqrt(\"\")" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\doteq" , Str "\8192" , Code ( "" , [] , [] ) "\\u{2250}" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\upharpoonright" , Str "\8192" , Code ( "" , [] , [] ) "harpoon.tr" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\10003" , Str "\8192" , Code ( "" , [] , [] ) "checkmark" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "Use" , Space , Code ( "" , [] , [] ) "a divides b" , Space , Str "for" , Space , Str "the" , Space , Str "divides" , Space , Str "relation," , Space , Math InlineMath "a \\mid b" , Str "," , Space , Str "and" , Space , Code ( "" , [] , [] ) "a divides.not b" , Space , Str "for" , Space , Str "the" , Space , Str "negation," , Space , Math InlineMath "a \\nmid b" , Str "." , SoftBreak , Str "Use" , Space , Code ( "" , [] , [] ) "|" , Space , Str "to" , Space , Str "get" , Space , Str "set" , Space , Str "builder" , Space , Str "notation" , Space , Math InlineMath "\\left\\{ a \\in S~|~a\\text{ is odd} \\right\\}" , Space , Str "with" , Space , Code ( "" , [] , [] ) "{a in S | a \"is odd\"}" , Str "." ] , Para [ Strong [ Str "Arrows\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\rightarrow" , Str "\8192" , Code ( "" , [] , [] ) "->" , Str "," , Space , Code ( "" , [] , [] ) "arrow.r" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\mapsto" , Str "\8192" , Code ( "" , [] , [] ) "|->" , Str "," , Space , Code ( "" , [] , [] ) "arrow.r.bar" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nrightarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.r.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\longmapsto" , Str "\8192" , Code ( "" , [] , [] ) "arrow.r.long.bar" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\longrightarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.r.long" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\leftarrow" , Str "\8192" , Code ( "" , [] , [] ) "<-" , Str "," , Space , Code ( "" , [] , [] ) "arrow.l" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\Rightarrow" , Str "\8192" , Code ( "" , [] , [] ) "=>" , Str "," , Space , Code ( "" , [] , [] ) "arrow.r.double" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\longleftrightarrow" , Str "\8192" , Code ( "" , [] , [] ) "<-->" , Str "," , Space , Code ( "" , [] , [] ) "arrow.l.r.long" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\nRightarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.r.double.not" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\downarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.b" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\Longrightarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.r.double.long" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\uparrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.t" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\rightsquigarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.squiggly" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\updownarrow" , Str "\8192" , Code ( "" , [] , [] ) "arrow.t.b" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "The" , Space , Str "right" , Space , Str "arrows" , Space , Str "in" , Space , Str "the" , Space , Str "first" , Space , Str "column" , Space , Str "have" , Space , Str "matching" , Space , Str "left" , Space , Str "arrows," , Space , Str "such" , Space , Str "as" , Space , Code ( "" , [] , [] ) "arrow.l.not" , Str "," , Space , Str "and" , Space , Str "there" , Space , Str "are" , Space , Str "some" , Space , Str "other" , Space , Str "matches" , Space , Str "for" , Space , Str "down" , Space , Str "arrows," , Space , Str "etc." ] , Para [ Strong [ Str "Variable-sized" , Space , Str "operators\8192\160" ] , Str "The" , Space , Str "summation" , Space , Math InlineMath "\\sum_{j = 0}^{3}j^{2}" , Space , Code ( "" , [] , [] ) "sum_(j = 0)^3 j^2" , Space , Str "and" , Space , Str "the" , Space , Str "integral" , Space , Math InlineMath "\\int_{x = 0}^{3}x^{2}dx" , Space , Code ( "" , [] , [] ) "integral_(x = 0)^3 x^2 dif x" , Space , Str "expand" , Space , Str "when" , Space , Str "displayed." ] , Para [ Math DisplayMath "\\sum_{j = 0}^{3}j^{2}\\qquad\\int_{x = 0}^{3}x^{2}dx" ] , Para [ Str "These" , Space , Str "do" , Space , Str "the" , Space , Str "same." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\int" , Str "\8192" , Code ( "" , [] , [] ) "integral" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\iiint" , Str "\8192" , Code ( "" , [] , [] ) "integral.triple" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\bigcup" , Str "\8192" , Code ( "" , [] , [] ) "union.big" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\iint" , Str "\8192" , Code ( "" , [] , [] ) "integral.double" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\oint" , Str "\8192" , Code ( "" , [] , [] ) "integral.cont" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\bigcap" , Str "\8192" , Code ( "" , [] , [] ) "inter.big" ] ] ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Fences\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "()" , Str "\8192" , Code ( "" , [] , [] ) "()" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\langle\\rangle" , Str "\8192" , Code ( "" , [] , [] ) "chevron.l chevron.r" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\left| {} \\right|" , Str "\8192" , Code ( "" , [] , [] ) "abs(\"\")" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\lbrack\\rbrack" , Str "\8192" , Code ( "" , [] , [] ) "[]" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\left\\lfloor {} \\right\\rfloor" , Str "\8192" , Code ( "" , [] , [] ) "floor(\"\")" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\left\\| {} \\right\\|" , Str "\8192" , Code ( "" , [] , [] ) "norm(\"\")" ] ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\left\\{ \\right\\}" , Str "\8192" , Code ( "" , [] , [] ) "{}" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Span ( "" , [ "box" ] , [] ) [ Math InlineMath "\\left\\lceil {} \\right\\rceil" , Str "\8192" , Code ( "" , [] , [] ) "ceil(\"\")" ] ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "Fix" , Space , Str "the" , Space , Str "size" , Space , Str "with" , Space , Str "the" , Space , Code ( "" , [] , [] ) "lr" , Space , Str "function." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\left. \\left\\lbrack \\sum_{k = 0}^{n}e^{k^{2}} \\right\\rbrack \\right." ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "lr([sum_(k = 0)^n e^(k^2)], size: #50%)" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "To" , Space , Str "have" , Space , Str "them" , Space , Str "grow" , Space , Str "with" , Space , Str "the" , Space , Str "enclosed" , Space , Str "formula," , Space , Str "also" , Space , Str "use" , Space , Str "the" , Space , Code ( "" , [] , [] ) "lr" , Space , Str "function." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\left\\langle i,2^{2^{i}} \\right\\rangle" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "lr(angle.l i, 2^(2^i) angle.r)" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "Fences" , Space , Str "scale" , Space , Str "by" , Space , Str "default" , Space , Str "if" , Space , Str "entered" , Space , Str "directly" , Space , Str "as" , Space , Str "codepoints," , Space , Str "and" , Space , Str "don\8217t" , Space , Str "scale" , Space , Str "automatically" , Space , Str "if" , Space , Str "entered" , Space , Str "as" , Space , Str "symbol" , Space , Str "notation." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\left( \\frac{1}{n^{\\alpha}} \\right)" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "(1 / n^(alpha))" ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "(\\frac{1}{n^{\\alpha}})" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "paren.l 1 / n^(alpha) paren.r" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "The" , Space , Code ( "" , [] , [] ) "lr" , Space , Str "function" , Space , Str "also" , Space , Str "allows" , Space , Str "to" , Space , Str "scale" , Space , Str "unmatched" , Space , Str "delimiters" , Space , Str "and" , Space , Str "one-side" , Space , Str "fences." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\left. \\frac{df}{dx} \\right|_{x_{0}}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "lr(frac(dif f, dif x) |)_(x_0)" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Arrays," , Space , Str "Matrices\8192\160" ] , Str "Get" , Space , Str "a" , Space , Str "matrix" , Space , Str "with" , Space , Str "the" , Space , Code ( "" , [] , [] ) "mat" , Space , Str "function." , Space , Str "You" , Space , Str "can" , Space , Str "pass" , Space , Str "an" , Space , Str "array" , Space , Str "to" , Space , Str "it." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\begin{pmatrix}\na & b \\\\\nc & d\n\\end{pmatrix}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "$ mat(a, b; c, d) $" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "In" , Space , Str "Typst," , Space , Underline [ Link ( "" , [] , [] ) [ Str "array" ] ( "https://typst.app/docs/reference/typst/array" , "" ) ] , Space , Str "is" , Space , Str "a" , Space , Str "sequence" , Space , Str "of" , Space , Str "values," , SoftBreak , Str "while" , Space , Str "in" , Space , Span ( "" , [ "box" ] , [] ) [ Str "L\8202A\8202" , Span ( "" , [ "box" ] , [] ) [ Str "T\8202E\8202X" ] ] , Str "," , Space , Str "array" , Space , Str "is" , Space , Str "a" , Space , Str "matrix" , Space , Str "without" , Space , Str "fences," , Space , Str "which" , Space , Str "is" , Space , Code ( "" , [] , [] ) "$mat(delim: #none, ..)$" , Space , Str "in" , Space , Str "Typst." ] , Para [ Str "For" , Space , Str "the" , Space , Str "determinant" , Space , Str "use" , Space , Code ( "" , [] , [] ) "|A|" , Str "," , Space , Str "text" , Space , Str "operator" , Space , Math InlineMath "\\det" , Space , Code ( "" , [] , [] ) "det" , Space , Str "or" , Space , Code ( "" , [] , [] ) "mat(delim: \"|\", ..)" , Str "." ] , Para [ Str "Definition" , Space , Str "by" , Space , Str "cases" , Space , Str "can" , Space , Str "be" , Space , Str "easily" , Space , Str "obtained" , Space , Str "with" , Space , Str "the" , Space , Code ( "" , [] , [] ) "cases" , Space , Str "function." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "f_{n} = \\begin{cases}\na & \\text{if }n = 0 \\\\\nr \\cdot f_{n - 1} & \\text{else }\n\\end{cases}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "$ f_n = cases(\n a &\"if\" n = 0,\n r dot f_(n - 1) &\"else\"\n) $" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Spacing" , Space , Str "in" , Space , Str "mathematics\8192\160" ] , Str "Improve" , Space , Math InlineMath "\\sqrt{2}x" , Space , Str "to" , Space , Math InlineMath "\\sqrt{2}\\, x" , Space , Str "with" , Space , Str "a" , Space , Str "thin" , Space , Str "space," , Space , Str "as" , Space , Str "in" , Space , Code ( "" , [] , [] ) "sqrt(2) thin x" , Str "." , SoftBreak , Str "Slightly" , Space , Str "wider" , Space , Str "are" , Space , Code ( "" , [] , [] ) "medium" , Space , Str "and" , Space , Code ( "" , [] , [] ) "thick" , Space , Str "(the" , Space , Str "three" , Space , Str "are" , Space , Str "in" , Space , Str "ratio" , Space , Math InlineMath "3:4:5" , Str ")." , SoftBreak , Str "Bigger" , Space , Str "space" , Space , Str "is" , Space , Code ( "" , [] , [] ) "quad" , Space , Str "for" , Space , Math InlineMath "\\rightarrow \\quad \\leftarrow" , Str "," , Space , Str "which" , Space , Str "is" , Space , Str "useful" , Space , Str "between" , Space , Str "parts" , Space , Str "of" , Space , Str "a" , Space , Str "display." , SoftBreak , Str "Get" , Space , Str "arbitrary" , Space , Str "space" , Space , Str "with" , Space , Str "the" , Space , Code ( "" , [] , [] ) "h" , Space , Str "function." , SoftBreak , Str "For" , Space , Str "example," , Space , Str "use" , Space , Code ( "" , [] , [] ) "#h(2em)" , Space , Str "for" , Space , Code ( "" , [] , [] ) "\\qquad" , Space , Str "in" , Space , Span ( "" , [ "box" ] , [] ) [ Str "L\8202A\8202" , Span ( "" , [ "box" ] , [] ) [ Str "T\8202E\8202X" ] ] , Space , Str "and" , Space , Code ( "" , [] , [] ) "#h(-0.1667em)" , Space , Str "for" , Space , Code ( "" , [] , [] ) "\\!" , Str "." ] , Para [ Strong [ Str "Displayed" , Space , Str "equations\8192\160" ] , Str "Display" , Space , Str "equations" , Space , Str "in" , Space , Str "a" , Space , Str "block" , Space , Str "level" , Space , Str "using" , Space , Code ( "" , [] , [] ) "$ ... $" , Space , Str "with" , Space , Str "at" , Space , Str "least" , Space , Str "one" , Space , Str "space" , Space , Str "separating" , Space , Str "the" , Space , Str "math" , Space , Str "content" , Space , Str "and" , Space , Str "the" , Space , Code ( "" , [] , [] ) "$" , Str "." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "S = k \\cdot \\lg W" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "$ S = k dot lg W $" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "You" , Space , Str "can" , Space , Str "break" , Space , Str "into" , Space , Str "multiple" , Space , Str "lines." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\begin{array}{r}\n\\sin(x) = x - \\frac{x^{3}}{3!} \\\\\n + \\frac{x^{5}}{5!} - \\cdots\n\\end{array}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "$ sin(x) = x - x^3 / 3! \\\n + x^5 / 5! - dots.h.c $" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "Align" , Space , Str "equations" , Space , Str "using" , Space , Code ( "" , [] , [] ) "&" ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignLeft , ColWidthDefault ) , ( AlignLeft , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\begin{aligned}\n\\nabla \\cdot \\mathbf{D} & = \\rho \\\\\n\\nabla \\cdot \\mathbf{B} & = 0\n\\end{aligned}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "$ nabla dot bold(D) &= rho \\\n nabla dot bold(B) &= 0 $" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "(the" , Space , Str "left" , Space , Str "or" , Space , Str "right" , Space , Str "side" , Space , Str "of" , Space , Str "an" , Space , Str "alignment" , Space , Str "can" , Space , Str "be" , Space , Str "empty)." , SoftBreak , Str "Get" , Space , Str "a" , Space , Str "numbered" , Space , Str "version" , Space , Str "by" , Space , Code ( "" , [] , [] ) "#set math.equation(numbering: ..)" , Str "." ] , Para [ Strong [ Str "Calculus" , Space , Str "examples\8192\160" ] , Str "The" , Space , Str "last" , Space , Str "three" , Space , Str "here" , Space , Str "are" , Space , Str "display" , Space , Str "style." ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "f:{\\mathbb{R}} \\rightarrow {\\mathbb{R}}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "f: RR -> RR" ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "9.8\\ \\text{ m/s}^{2}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Code ( "" , [] , [] ) "\"9.8\" \"m/s\"^2" , Space , Link ( "" , [ "ref" ] , [] ) [ Str "[tricky]" ] ( "#tricky" , "" ) ] ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\lim\\limits_{h \\rightarrow 0}\\frac{f(x + h) - f(x)}{h}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "lim_(h -> 0) (f(x + h) - f(x)) / h" ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\int x^{2}dx = x^{3}/3 + C" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "integral x^2 dif x = x^3 \\/ 3 + C" ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math DisplayMath "\\nabla = \\mathbf{i}\\frac{d}{dx} + \\mathbf{j}\\frac{d}{dy} + \\mathbf{k}\\frac{d}{dz}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "nabla = bold(i) dif / (dif x) + bold(j) dif / (dif y) + bold(k) dif / (dif z)" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Strong [ Str "Discrete" , Space , Str "mathematics" , Space , Str "examples\8192\160" ] , Str "For" , Space , Str "modulo," , Space , Str "there" , Space , Str "is" , Space , Str "a" , Space , Str "symbol" , Space , Math InlineMath "\\equiv" , Space , Str "from" , Space , Code ( "" , [] , [] ) "equiv" , Space , Str "and" , Space , Str "a" , Space , Str "text" , Space , Str "operator" , Space , Math InlineMath "\\operatorname{mod}" , Space , Str "from" , Space , Code ( "" , [] , [] ) "mod" , Str "." ] , Para [ Str "For" , Space , Str "combinations" , Space , Str "the" , Space , Str "binomial" , Space , Str "symbol" , Space , Math InlineMath "\\binom{n}{k}" , Space , Str "is" , Space , Str "from" , Space , Code ( "" , [] , [] ) "binom(n, k)" , Str "." , SoftBreak , Str "This" , Space , Str "resizes" , Space , Str "to" , Space , Str "be" , Space , Str "bigger" , Space , Str "in" , Space , Str "a" , Space , Str "display." ] , Para [ Str "For" , Space , Str "permutations" , Space , Str "use" , Space , Math InlineMath "n^{\\underline{r}}" , Space , Str "from" , Space , Code ( "" , [] , [] ) "n^(underline(r))" , Space , Str "(some" , Space , Str "authors" , Space , Str "use" , Space , Math InlineMath "P(n,r)" , Str "," , Space , Str "or" , Space , Math InlineMath "{}_{n}P_{r}" , Space , Str "from" , Space , Code ( "" , [] , [] ) "\"\"_n P_r" , Str ")." ] , Para [ Strong [ Str "Statistics" , Space , Str "examples\8192\160" ] ] , Div ( "" , [] , [ ( "align" , "center" ) ] ) [ Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "\\sigma^{2} = \\sqrt{{\\sum(x_{i} - \\mu)}^{2}/N}" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "sigma^2 = sqrt(sum(x_i - mu)^2 \\/ N)" ] ] , Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ Para [ Math InlineMath "E(X) = \\mu_{X} = \\sum(x_{i} - P\\left( x_{i} \\right))" ] ] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "E(X) = mu_X = sum(x_i - P(x_i))" ] ] ] ] (TableFoot ( "" , [] , [] ) []) ] , Para [ Str "The" , Space , Str "probability" , Space , Str "density" , Space , Str "of" , Space , Str "the" , Space , Str "normal" , Space , Str "distribution" ] , Para [ Math DisplayMath "\\frac{1}{\\sqrt{2\\sigma^{2}\\pi}}e^{- \\frac{(x - \\mu)^{2}}{2\\sigma^{2}}}" ] , Para [ Str "comes" , Space , Str "from" , Space , Str "this." ] , Table ( "" , [] , [] ) (Caption Nothing []) [ ( AlignDefault , ColWidthDefault ) , ( AlignDefault , ColWidthDefault ) ] (TableHead ( "" , [] , [] ) []) [ TableBody ( "" , [] , [] ) (RowHeadColumns 0) [] [ Row ( "" , [] , [] ) [ Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [] , Cell ( "" , [] , [] ) AlignDefault (RowSpan 1) (ColSpan 1) [ CodeBlock ( "" , [] , [] ) "1 / sqrt(2 sigma^2 pi)\n e^(- (x - mu)^2 / (2 sigma^2))" ] ] ] ] (TableFoot ( "" , [] , [] ) []) , Para [ Strong [ Str "For" , Space , Str "more\8192\160" ] , Str "See" , Space , Str "also" , Space , Str "the" , Space , Str "Typst" , Space , Str "Documentation" , Space , Str "at" , Space , Underline [ Link ( "" , [] , [] ) [ Str "https://typst.app/docs" ] ( "https://typst.app/docs" , "" ) ] , Str "." ] , HorizontalRule , Para [ Str "johanvx" , Space , Str "(" , Underline [ Link ( "" , [] , [] ) [ Str "https://github.com/johanvx" ] ( "https://github.com/johanvx" , "" ) ] , Str ")" , Space , Str "\8202\8193" , Space , Str "2023-05-22" ] ] ]