$Latex text$

Overview

LaTeX는 문서 작성 도구의 일종으로, 논문이나 출판물 등의 특수 형식 문서를 작성하는데 쓰인다.

LaTeX

레이텍 혹은 라텍이라고 읽는다. 이렇게 읽는 이유는 LaTeX의 모체인 TeX의 X가 라틴 문자 X(엑스)가 아닌 그리스 문자 X(키, 카이)를 뜻하기 때문이다.

따라서 조사를 붙일 때도 ‘LaTeX는’, ‘LaTeX를’이 아닌 ‘LaTeX은’, ‘LaTeX을’이라고 해야 맞다.

LaTeX는 직접 사용하기 어려운 TeX를 좀 더 쉽게 쓸 수 있도록 만들어진 매크로 집합이라고 볼 수 있다.

입출력 예시

아래는 LaTeX 입력의 예이다.

\documentclass[12pt]{article}
\usepackage{amsmath}
\title{\LaTeX}
\date{}
\begin{document}
  \maketitle
  \LaTeX{} is a document preparation system for the \TeX{}
  typesetting program. It offers programmable desktop publishing
  features and extensive facilities for automating most aspects of
  typesetting and desktop publishing, including numbering and
  cross-referencing, tables and figures, page layout, bibliographies,
  and much more. \LaTeX{} was originally written in 1984 by Leslie
  Lamport and has become the dominant method for using \TeX; few
  people write in plain \TeX{} anymore. The current version is
  \LaTeX2e.

  % This is a comment; it will not be shown in the final output.
  % The following shows a little of the typesetting power of LaTeX:
  \begin{align}
    E &= mc^2                              \\
    m &= \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}
  \end{align}
\end{document}

이 입력은 다음과 같이 출력된다.

$Latex output$

특수문자 작성법

구별부호

`\dot{a}, \ddot{a}, \acute{a}, \grave{a}`	$\dot{a}, \ddot{a}, \acute{a}, \grave{a}$
`\check{a}, \breve{a}, \tilde{a}, \bar{a}`	$\check{a}, \breve{a}, \tilde{a}, \bar{a}$
`\hat{a}, \widehat{a}, \vec{a}`	$\hat{a}$, $\widehat{a}$, $\vec{a}$

산술함수

`\exp_a b = a^b, \exp b = e^b, 10^m`	$\exp_a b = a^b, \exp b = e^b, 10^m$
`\ln c, \lg d = \log e, \log_{10} f`	$\ln c, \lg d = \log e, \log_{10} f$
`\sin a, \cos b, \tan c, \cot d, \sec e, \csc f`	$\sin a, \cos b, \tan c, \cot d, \sec e, \csc f$
`\arcsin h, \arccos i, \arctan j`	$\arcsin h, \arccos i, \arctan j$
`\sinh k, \cosh l, \tanh m, \coth n`	$\sinh k, \cosh l, \tanh m, \coth n$
`\operatorname{sh}\,k, \operatorname{ch}\,l, \operatorname{th}\,m, \operatorname{coth}\,n`	$\operatorname{sh}\,k$, $\operatorname{ch}\,l$, $\operatorname{th}\,m$, $\operatorname{coth}\,n$
`\operatorname{argsh}\,o, \operatorname{argch}\,p, \operatorname{argth}\,q`	$\operatorname{argsh}\,o$, $\operatorname{argch}\,p$, $\operatorname{argth}\,q$
`\sgn r, \left\vert s \right\vert`	$\sgn r$, $\left\vert s \right\vert$
`\min(x,y), \max(x,y)`	$\min(x,y), \max(x,y)$

상한과 하한

`\min x, \max y, \inf s, \sup t`	$\min x, \max y, \inf s, \sup t$
`\lim u, \liminf v, \limsup w`	$\lim u, \liminf v, \limsup w$
`\dim p, \deg q, \det m, \ker\phi`	$\dim p, \deg q, \det m, \ker\phi$

투영

\Pr j, \hom l, \lVert z \rVert, \arg z $\Pr j, \hom l, \lVert z \rVert, \arg z$

미분

`dt, \operatorname{d}\!t, \partial t, \nabla\psi`	$dt$, $\operatorname{d}\!t$, $\partial t$, $\nabla\psi$
`dy/dx, \operatorname{d}\!y/\operatorname{d}\!x, {dy \over dx}, {\operatorname{d}\!y\over\operatorname{d}\!x}, {\partial^2\over\partial x_1\partial x_2}y`	$dy/dx$, $\operatorname{d}\!y/\operatorname{d}\!x$, ${dy \over dx}$, ${\operatorname{d}\!y\over\operatorname{d}\!x}$, ${\partial^2\over\partial x_1\partial x_2}y$
`\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y`	$\prime$, $\backprime$, $f^\prime$, $f'$, $f''$, $f^{(3)}$, $\dot y$, $\ddot y$

유사 문자 기호

`\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar`	$\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar$
`\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS`	$\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS$

모듈러 연산

`s_k \equiv 0 \pmod{m}`	$s_k \equiv 0 \pmod{m}$
`a\,\bmod\,b`	$a\,\bmod\,b$
`\gcd(m, n), \operatorname{lcm}(m, n)`	$\gcd(m, n)$, $\operatorname{lcm}(m, n)$
`\mid, \nmid, \shortmid, \nshortmid`	$\mid, \nmid, \shortmid, \nshortmid$

근호

\surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{x^3+y^3 \over 2} $\surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{x^3+y^3 \over 2}$

조합론

{}_n\mathrm{P}_{k} , _{n}\mathrm{C}_{k} , _{n}\mathrm{\pi}_{k}, _{n}\mathrm{H}_{k}, P(n,k), S(n,k), \mathrm{P}_{k}^{n} ${}_n\mathrm{P}_{k} , _{n}\mathrm{C}_{k} , _{n}\mathrm{\pi}_{k}, _{n}\mathrm{H}_{k}, P(n,k), S(n,k), \mathrm{P}_{k}^{n}$

연산자

`+, -, \pm, \mp, \dotplus`	$+, -, \pm, \mp, \dotplus$
`\times, \div, \divideontimes, /, \backslash`	$\times, \div, \divideontimes, /, \backslash$
`\cdot, * \ast, \star, \circ, \bullet`	$\cdot, * \ast, \star, \circ, \bullet$
`\boxplus, \boxminus, \boxtimes, \boxdot`	$\boxplus, \boxminus, \boxtimes, \boxdot$
`\oplus, \ominus, \otimes, \oslash, \odot`	$\oplus, \ominus, \otimes, \oslash, \odot$
`\circleddash, \circledcirc, \circledast`	$\circleddash, \circledcirc, \circledast$
`\bigoplus, \bigotimes, \bigodot`	$\bigoplus, \bigotimes, \bigodot$

집합

`\{ \}, \O \empty \emptyset, \varnothing`	$\{ \}$, $\O$, $\empty$, $\emptyset$, $\varnothing$
`\in, \notin \not\in, \ni, \not\ni`	$\in$, $\notin$, $\not\in$, $\ni$, $\not\ni$
`\cap, \Cap, \sqcap, \bigcap`	$\cap , \Cap, \sqcap, \bigcap$
`\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus`	$\cup , \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus$
`\setminus, \smallsetminus, \times`	$\setminus , \smallsetminus, \times$
`\subset, \not\subset, \Subset, \sqsubset`	$\subset$, $\not\subset$, $\Subset$, $\sqsubset$
`\supset, \not\supset, \Supset, \sqsupset`	$\supset$, $\not\supset$, $\Supset$, $\sqsupset$
`\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq`	$\subseteq , \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq$
`\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq`	$\supseteq , \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq$
`\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq`	$\subseteqq , \nsubseteqq, \subsetneqq, \varsubsetneqq$
`\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq`	$\supseteqq , \nsupseteqq, \supsetneqq, \varsupsetneqq$

관계

`=, \ne, \neq, \equiv, \not\equiv`	$=$, $\ne$, $\neq$, $\equiv$, $\not\equiv$
`\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=`	$\doteq$, $\doteqdot$, $\overset{\underset{\mathrm{def}}{}}{=}$, $:=$
`\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong`	$\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong$
`\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto`	$\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto$
`<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot`	$<$, $\nless$, $\ll$, $\not\ll$, $\lll$, $\not\lll$, $\lessdot$
`>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot`	$>$, $\ngtr$, $\gg$, $\not\gg$, $\ggg$, $\not\ggg$, $\gtrdot$
`\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq`	$\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq$
`\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq`	$\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq$
`\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless`	$\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless$
`\leqslant, \nleqslant, \eqslantless`	$\leqslant, \nleqslant, \eqslantless$
`\geqslant, \ngeqslant, \eqslantgtr`	$\geqslant, \ngeqslant, \eqslantgtr$
`\lesssim, \lnsim, \lessapprox, \lnapprox`	$\lesssim, \lnsim, \lessapprox, \lnapprox$
`\gtrsim, \gnsim, \gtrapprox, \gnapprox`	$\gtrsim, \gnsim, \gtrapprox, \gnapprox$
`\prec, \nprec, \preceq, \npreceq, \precneqq`	$\prec, \nprec, \preceq, \npreceq, \precneqq$
`\succ, \nsucc, \succeq, \nsucceq, \succneqq`	$\succ, \nsucc, \succeq, \nsucceq, \succneqq$
`\preccurlyeq, \curlyeqprec`	$\preccurlyeq, \curlyeqprec$
`\succcurlyeq, \curlyeqsucc`	$\succcurlyeq, \curlyeqsucc$
`\precsim, \precnsim, \precapprox, \precnapprox`	$\precsim, \precnsim, \precapprox, \precnapprox$
`\succsim, \succnsim, \succapprox, \succnapprox`	$\succsim, \succnsim, \succapprox, \succnapprox$

기하

`\parallel, \nparallel, \shortparallel, \nshortparallel`	$\parallel, \nparallel, \shortparallel, \nshortparallel$
`\perp, \angle, \sphericalangle, \measuredangle, 45^\circ`	$\perp, \angle, \sphericalangle, \measuredangle, 45^\circ$
`\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar`	$\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar$
`\bigcirc, \triangle \bigtriangleup, \bigtriangledown`	$\bigcirc, \triangle \bigtriangleup, \bigtriangledown$
`\vartriangle, \triangledown`	$\vartriangle, \triangledown$
`\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright`	$\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright$
`\bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \stackrel\frown{AB}`	$\bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \stackrel\frown{AB}$

논리

`\forall, \exists, \nexists`	$\forall, \exists, \nexists$
`\therefore, \because, \And`	$\therefore$, $\because$, $\And$
`\or \lor \vee, \curlyvee, \bigvee`	$\or$, $\lor$, $\vee$, $\curlyvee$, $\bigvee$
`\and \land \wedge, \curlywedge, \bigwedge`	$\and$, $\land$, $\wedge$, $\curlywedge$, $\bigwedge$
`\lnot \neg, \not\operatorname{R}, \bot, \top`	$\lnot$, $\neg$, $\not\operatorname{R}$, $\bot$, $\top$
`\vdash \dashv, \vDash, \Vdash, \models`	$\vdash \dashv, \vDash, \Vdash, \models$
`\Vvdash \nvdash \nVdash \nvDash \nVDash`	$\Vvdash \nvdash \nVdash \nvDash \nVDash$
`\ulcorner \urcorner \llcorner \lrcorner`	$\ulcorner \urcorner \llcorner \lrcorner$

화살표

`\Rrightarrow, \Lleftarrow`	$\Rrightarrow, \Lleftarrow$
`\Rightarrow, \nRightarrow, \Longrightarrow \implies`	$\Rightarrow$, $\nRightarrow$, $\Longrightarrow$ $\implies$
`\Leftarrow, \nLeftarrow, \Longleftarrow`	$\Leftarrow$, $\nLeftarrow$, $\Longleftarrow$
`\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \iff`	$\Leftrightarrow$, $\nLeftrightarrow$, $\Longleftrightarrow$\iff$$
`\Uparrow, \Downarrow, \Updownarrow`	$\Uparrow, \Downarrow, \Updownarrow$
`\rightarrow \to, \nrightarrow, \longrightarrow`	$\rightarrow \to, \nrightarrow, \longrightarrow$
`\leftarrow \gets, \nleftarrow, \longleftarrow`	$\leftarrow \gets, \nleftarrow, \longleftarrow$
`\leftrightarrow, \nleftrightarrow, \longleftrightarrow`	$\leftrightarrow, \nleftrightarrow, \longleftrightarrow$
`\uparrow, \downarrow, \updownarrow`	$\uparrow, \downarrow, \updownarrow$
`\nearrow, \swarrow, \nwarrow, \searrow`	$\nearrow, \swarrow, \nwarrow, \searrow$
`\mapsto, \longmapsto`	$\mapsto, \longmapsto$
`\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons`	$\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons$
`\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright`	$\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright$
`\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft`	$\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft$
`\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow`	$\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow$

특수

`\amalg \P \S \% \dagger \ddagger \ldots \cdots`	$\amalg \P \S \%$, $\dagger$, $\ddagger$, $\ldots$, $\cdots$
`\smile \frown \wr \triangleleft \triangleright`	$\smile \frown \wr \triangleleft \triangleright$

한글

\text{한 글 } $\text{한 글 }$

삭제 표시

\cancel{1} $\cancel{1}$

색깔

{\color{Blue}x^2}+{\color{Red}2x}-{\color{Green}1} ${\color{Blue}x^2}+{\color{Red}2x}-{\color{Green}1}$

기타

`\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes`	$\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes$
`\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq`	$\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq$
`\intercal \barwedge \veebar \doublebarwedge \between \pitchfork`	$\intercal \barwedge \veebar \doublebarwedge \between \pitchfork$
`\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright`	$\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright$
`\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq`	$\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq$

위, 아래, 전치, 후치 첨자

기능	문법	문서에서 보이는 식
위 첨자	`a^2`	$a^2$
아래 첨자	`y_m`	$y_m$
	`x_s-x_D`	$x_s-x_D$
다문자 첨자	`a^{2+2}`	$a^{2+2}$
	`a_{i,j}`	$a_{i,j}$
위 아래 첨자 동시에	`x_2^3`	$x_2^3$
위 가운데 첨자	`\overset{x}{P}`	$\overset{x}{P}$
전치 위, 아래 첨자 동시에	`{}_{b}^{a}X`	${}_{b}^{a}X$
전,후치,위,아래 첨자 동시에	`_{c}^{a}Z_{d}^{b}`	$_{c}^{a}Z_{d}^{b}$
전,후치,가운데,위,아래 첨자 동시에	`\underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}}`	$\underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}}$
미분 (옳음)	`x'`	$x'$
미분 (HTML의 경우 틀림)	`x^\prime`	$x^\prime$
미분 (PNG의 경우 틀림)	`x\prime`	$x\prime$
시그마	`\sum_{k=1}^N k^2`	$\sum_{k=1}^N k^2$
곱기호	`\prod_{i=1}^N x_i`	$\prod_{i=1}^N x_i$
극한	`\lim_{n \to \infty}x_n`	$\lim_{n \to \infty}x_n$
적분	`\int_{-N}^{N} e^x\, dx`	$\int_{-N}^{N} e^x\, dx$
선적분	`\oint_{C} x^3\, dx + 4y^2\, dy`	$\oint_{C} x^3\, dx + 4y^2\, dy$

분수, 행렬, 여러행

기능	문법	문서에서 보이는 식
분수	`\frac{2}{4} or {2 \over 4}`	$\frac{2}{4} or {2 \over 4}$
이항 계수	`{n \choose k}`	${n \choose k}$
행렬	`\begin{pmatrix} x & y \\ z & v \end{pmatrix}`	$\begin{pmatrix} x & y \\ z & v \end{pmatrix}$
	`\begin{bmatrix}0 & \cdots & 0 \\\vdots & \ddots & \vdots \\0 & \cdots & 0\end{bmatrix}`	$\begin{bmatrix}0 & \cdots & 0 \\\vdots & \ddots & \vdots \\0 & \cdots & 0\end{bmatrix}$
	`\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}`	$\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}$
	`\begin{vmatrix} x & y \\ z & v \end{vmatrix}`	$\begin{vmatrix} x & y \\ z & v \end{vmatrix}$
	`\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}`	$\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}$
	`\begin{matrix} x & y \\ z & v \end{matrix}`	$\begin{matrix} x & y \\ z & v \end{matrix}$
경우 나누기	`f(n)=\begin{cases}n/2, & \mbox{if }n\mbox{ is even} \\3n+1, & \mbox{if }n\mbox{ is odd}\end{cases}`	$f(n)=\begin{cases}n/2, & \mbox{if }n\mbox{ is even} \\3n+1, & \mbox{if }n\mbox{ is odd}\end{cases}$
두 줄 이상의 방정식	`\begin{matrix}f(n+1) &=& (n+1)^2 \\&=& n^2 + 2n + 1\end{matrix}`	$\begin{matrix}f(n+1) &=& (n+1)^2 \\&=& n^2 + 2n + 1\end{matrix}$

참고자료

TeX 문법 - 위키백과

LaTeX 작성법

Overview

LaTeX

입출력 예시

특수문자 작성법

위, 아래, 전치, 후치 첨자

분수, 행렬, 여러행

참고자료

RaP0d

`\dot{a}, \ddot{a}, \acute{a}, \grave{a}`	\(\dot{a}, \ddot{a}, \acute{a}, \grave{a}\)
`\check{a}, \breve{a}, \tilde{a}, \bar{a}`	\(\check{a}, \breve{a}, \tilde{a}, \bar{a}\)
`\hat{a}, \widehat{a}, \vec{a}`	\(\hat{a}\), \(\widehat{a}\), \(\vec{a}\)

`\exp_a b = a^b, \exp b = e^b, 10^m`	\(\exp_a b = a^b, \exp b = e^b, 10^m\)
`\ln c, \lg d = \log e, \log_{10} f`	\(\ln c, \lg d = \log e, \log_{10} f\)
`\sin a, \cos b, \tan c, \cot d, \sec e, \csc f`	\(\sin a, \cos b, \tan c, \cot d, \sec e, \csc f\)
`\arcsin h, \arccos i, \arctan j`	\(\arcsin h, \arccos i, \arctan j\)
`\sinh k, \cosh l, \tanh m, \coth n`	\(\sinh k, \cosh l, \tanh m, \coth n\)
`\operatorname{sh}\,k, \operatorname{ch}\,l, \operatorname{th}\,m, \operatorname{coth}\,n`	\(\operatorname{sh}\,k\), \(\operatorname{ch}\,l\), \(\operatorname{th}\,m\), \(\operatorname{coth}\,n\)
`\operatorname{argsh}\,o, \operatorname{argch}\,p, \operatorname{argth}\,q`	\(\operatorname{argsh}\,o\), \(\operatorname{argch}\,p\), \(\operatorname{argth}\,q\)
`\sgn r, \left\vert s \right\vert`	\(\sgn r\), \(\left\vert s \right\vert\)
`\min(x,y), \max(x,y)`	\(\min(x,y), \max(x,y)\)

`\min x, \max y, \inf s, \sup t`	\(\min x, \max y, \inf s, \sup t\)
`\lim u, \liminf v, \limsup w`	\(\lim u, \liminf v, \limsup w\)
`\dim p, \deg q, \det m, \ker\phi`	\(\dim p, \deg q, \det m, \ker\phi\)

`dt, \operatorname{d}\!t, \partial t, \nabla\psi`	\(dt\), \(\operatorname{d}\!t\), \(\partial t\), \(\nabla\psi\)
`dy/dx, \operatorname{d}\!y/\operatorname{d}\!x, {dy \over dx}, {\operatorname{d}\!y\over\operatorname{d}\!x}, {\partial^2\over\partial x_1\partial x_2}y`	\(dy/dx\), \(\operatorname{d}\!y/\operatorname{d}\!x\), \({dy \over dx}\), \({\operatorname{d}\!y\over\operatorname{d}\!x}\), \({\partial^2\over\partial x_1\partial x_2}y\)
`\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y`	\(\prime\), \(\backprime\), \(f^\prime\), \(f'\), \(f''\), \(f^{(3)}\), \(\dot y\), \(\ddot y\)

`\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar`	\(\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar\)
`\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS`	\(\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS\)

`s_k \equiv 0 \pmod{m}`	\(s_k \equiv 0 \pmod{m}\)
`a\,\bmod\,b`	\(a\,\bmod\,b\)
`\gcd(m, n), \operatorname{lcm}(m, n)`	\(\gcd(m, n)\), \(\operatorname{lcm}(m, n)\)
`\mid, \nmid, \shortmid, \nshortmid`	\(\mid, \nmid, \shortmid, \nshortmid\)

`+, -, \pm, \mp, \dotplus`	\(+, -, \pm, \mp, \dotplus\)
`\times, \div, \divideontimes, /, \backslash`	\(\times, \div, \divideontimes, /, \backslash\)
`\cdot, * \ast, \star, \circ, \bullet`	\(\cdot, * \ast, \star, \circ, \bullet\)
`\boxplus, \boxminus, \boxtimes, \boxdot`	\(\boxplus, \boxminus, \boxtimes, \boxdot\)
`\oplus, \ominus, \otimes, \oslash, \odot`	\(\oplus, \ominus, \otimes, \oslash, \odot\)
`\circleddash, \circledcirc, \circledast`	\(\circleddash, \circledcirc, \circledast\)
`\bigoplus, \bigotimes, \bigodot`	\(\bigoplus, \bigotimes, \bigodot\)

`\{ \}, \O \empty \emptyset, \varnothing`	\(\{ \}\), \(\O\), \(\empty\), \(\emptyset\), \(\varnothing\)
`\in, \notin \not\in, \ni, \not\ni`	\(\in\), \(\notin\), \(\not\in\), \(\ni\), \(\not\ni\)
`\cap, \Cap, \sqcap, \bigcap`	\(\cap , \Cap, \sqcap, \bigcap\)
`\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus`	\(\cup , \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus\)
`\setminus, \smallsetminus, \times`	\(\setminus , \smallsetminus, \times\)
`\subset, \not\subset, \Subset, \sqsubset`	\(\subset\), \(\not\subset\), \(\Subset\), \(\sqsubset\)
`\supset, \not\supset, \Supset, \sqsupset`	\(\supset\), \(\not\supset\), \(\Supset\), \(\sqsupset\)
`\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq`	\(\subseteq , \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq\)
`\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq`	\(\supseteq , \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq\)
`\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq`	\(\subseteqq , \nsubseteqq, \subsetneqq, \varsubsetneqq\)
`\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq`	\(\supseteqq , \nsupseteqq, \supsetneqq, \varsupsetneqq\)

`=, \ne, \neq, \equiv, \not\equiv`	\(=\), \(\ne\), \(\neq\), \(\equiv\), \(\not\equiv\)
`\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=`	\(\doteq\), \(\doteqdot\), \(\overset{\underset{\mathrm{def}}{}}{=}\), \(:=\)
`\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong`	\(\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong\)
`\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto`	\(\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto\)
`<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot`	\(<\), \(\nless\), \(\ll\), \(\not\ll\), \(\lll\), \(\not\lll\), \(\lessdot\)
`>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot`	\(>\), \(\ngtr\), \(\gg\), \(\not\gg\), \(\ggg\), \(\not\ggg\), \(\gtrdot\)
`\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq`	\(\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq\)
`\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq`	\(\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq\)
`\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless`	\(\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless\)
`\leqslant, \nleqslant, \eqslantless`	\(\leqslant, \nleqslant, \eqslantless\)
`\geqslant, \ngeqslant, \eqslantgtr`	\(\geqslant, \ngeqslant, \eqslantgtr\)
`\lesssim, \lnsim, \lessapprox, \lnapprox`	\(\lesssim, \lnsim, \lessapprox, \lnapprox\)
`\gtrsim, \gnsim, \gtrapprox, \gnapprox`	\(\gtrsim, \gnsim, \gtrapprox, \gnapprox\)
`\prec, \nprec, \preceq, \npreceq, \precneqq`	\(\prec, \nprec, \preceq, \npreceq, \precneqq\)
`\succ, \nsucc, \succeq, \nsucceq, \succneqq`	\(\succ, \nsucc, \succeq, \nsucceq, \succneqq\)
`\preccurlyeq, \curlyeqprec`	\(\preccurlyeq, \curlyeqprec\)
`\succcurlyeq, \curlyeqsucc`	\(\succcurlyeq, \curlyeqsucc\)
`\precsim, \precnsim, \precapprox, \precnapprox`	\(\precsim, \precnsim, \precapprox, \precnapprox\)
`\succsim, \succnsim, \succapprox, \succnapprox`	\(\succsim, \succnsim, \succapprox, \succnapprox\)

`\parallel, \nparallel, \shortparallel, \nshortparallel`	\(\parallel, \nparallel, \shortparallel, \nshortparallel\)
`\perp, \angle, \sphericalangle, \measuredangle, 45^\circ`	\(\perp, \angle, \sphericalangle, \measuredangle, 45^\circ\)
`\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar`	\(\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar\)
`\bigcirc, \triangle \bigtriangleup, \bigtriangledown`	\(\bigcirc, \triangle \bigtriangleup, \bigtriangledown\)
`\vartriangle, \triangledown`	\(\vartriangle, \triangledown\)
`\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright`	\(\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright\)
`\bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \stackrel\frown{AB}`	\(\bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \stackrel\frown{AB}\)

`\forall, \exists, \nexists`	\(\forall, \exists, \nexists\)
`\therefore, \because, \And`	\(\therefore\), \(\because\), \(\And\)
`\or \lor \vee, \curlyvee, \bigvee`	\(\or\), \(\lor\), \(\vee\), \(\curlyvee\), \(\bigvee\)
`\and \land \wedge, \curlywedge, \bigwedge`	\(\and\), \(\land\), \(\wedge\), \(\curlywedge\), \(\bigwedge\)
`\lnot \neg, \not\operatorname{R}, \bot, \top`	\(\lnot\), \(\neg\), \(\not\operatorname{R}\), \(\bot\), \(\top\)
`\vdash \dashv, \vDash, \Vdash, \models`	\(\vdash \dashv, \vDash, \Vdash, \models\)
`\Vvdash \nvdash \nVdash \nvDash \nVDash`	\(\Vvdash \nvdash \nVdash \nvDash \nVDash\)
`\ulcorner \urcorner \llcorner \lrcorner`	\(\ulcorner \urcorner \llcorner \lrcorner\)

`\Rrightarrow, \Lleftarrow`	\(\Rrightarrow, \Lleftarrow\)
`\Rightarrow, \nRightarrow, \Longrightarrow \implies`	\(\Rightarrow\), \(\nRightarrow\), \(\Longrightarrow\) \(\implies\)
`\Leftarrow, \nLeftarrow, \Longleftarrow`	\(\Leftarrow\), \(\nLeftarrow\), \(\Longleftarrow\)
`\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \iff`	\(\Leftrightarrow\), \(\nLeftrightarrow\), \(\Longleftrightarrow\)\iff$$
`\Uparrow, \Downarrow, \Updownarrow`	\(\Uparrow, \Downarrow, \Updownarrow\)
`\rightarrow \to, \nrightarrow, \longrightarrow`	\(\rightarrow \to, \nrightarrow, \longrightarrow\)
`\leftarrow \gets, \nleftarrow, \longleftarrow`	\(\leftarrow \gets, \nleftarrow, \longleftarrow\)
`\leftrightarrow, \nleftrightarrow, \longleftrightarrow`	\(\leftrightarrow, \nleftrightarrow, \longleftrightarrow\)
`\uparrow, \downarrow, \updownarrow`	\(\uparrow, \downarrow, \updownarrow\)
`\nearrow, \swarrow, \nwarrow, \searrow`	\(\nearrow, \swarrow, \nwarrow, \searrow\)
`\mapsto, \longmapsto`	\(\mapsto, \longmapsto\)
`\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons`	\(\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons\)
`\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright`	\(\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright\)
`\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft`	\(\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft\)
`\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow`	\(\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow\)

`\amalg \P \S \% \dagger \ddagger \ldots \cdots`	\(\amalg \P \S \%\), \(\dagger\), \(\ddagger\), \(\ldots\), \(\cdots\)
`\smile \frown \wr \triangleleft \triangleright`	\(\smile \frown \wr \triangleleft \triangleright\)

`\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes`	\(\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes\)
`\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq`	\(\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq\)
`\intercal \barwedge \veebar \doublebarwedge \between \pitchfork`	\(\intercal \barwedge \veebar \doublebarwedge \between \pitchfork\)
`\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright`	\(\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright\)
`\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq`	\(\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq\)

기능	문법	문서에서 보이는 식
위 첨자	`a^2`	\(a^2\)
아래 첨자	`y_m`	\(y_m\)
	`x_s-x_D`	\(x_s-x_D\)
다문자 첨자	`a^{2+2}`	\(a^{2+2}\)
	`a_{i,j}`	\(a_{i,j}\)
위 아래 첨자 동시에	`x_2^3`	\(x_2^3\)
위 가운데 첨자	`\overset{x}{P}`	\(\overset{x}{P}\)
전치 위, 아래 첨자 동시에	`{}_{b}^{a}X`	\({}_{b}^{a}X\)
전,후치,위,아래 첨자 동시에	`_{c}^{a}Z_{d}^{b}`	\(_{c}^{a}Z_{d}^{b}\)
전,후치,가운데,위,아래 첨자 동시에	`\underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}}`	\(\underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}}\)
미분 (옳음)	`x'`	\(x'\)
미분 (HTML의 경우 틀림)	`x^\prime`	\(x^\prime\)
미분 (PNG의 경우 틀림)	`x\prime`	\(x\prime\)
시그마	`\sum_{k=1}^N k^2`	\(\sum_{k=1}^N k^2\)
곱기호	`\prod_{i=1}^N x_i`	\(\prod_{i=1}^N x_i\)
극한	`\lim_{n \to \infty}x_n`	\(\lim_{n \to \infty}x_n\)
적분	`\int_{-N}^{N} e^x\, dx`	\(\int_{-N}^{N} e^x\, dx\)
선적분	`\oint_{C} x^3\, dx + 4y^2\, dy`	\(\oint_{C} x^3\, dx + 4y^2\, dy\)

기능	문법	문서에서 보이는 식
분수	`\frac{2}{4} or {2 \over 4}`	\(\frac{2}{4} or {2 \over 4}\)
이항 계수	`{n \choose k}`	\({n \choose k}\)
행렬	`\begin{pmatrix} x & y \\ z & v \end{pmatrix}`	\(\begin{pmatrix} x & y \\ z & v \end{pmatrix}\)
	`\begin{bmatrix}0 & \cdots & 0 \\\vdots & \ddots & \vdots \\0 & \cdots & 0\end{bmatrix}`	\(\begin{bmatrix}0 & \cdots & 0 \\\vdots & \ddots & \vdots \\0 & \cdots & 0\end{bmatrix}\)
	`\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}`	\(\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}\)
	`\begin{vmatrix} x & y \\ z & v \end{vmatrix}`	\(\begin{vmatrix} x & y \\ z & v \end{vmatrix}\)
	`\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}`	\(\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}\)
	`\begin{matrix} x & y \\ z & v \end{matrix}`	\(\begin{matrix} x & y \\ z & v \end{matrix}\)
경우 나누기	`f(n)=\begin{cases}n/2, & \mbox{if }n\mbox{ is even} \\3n+1, & \mbox{if }n\mbox{ is odd}\end{cases}`	\(f(n)=\begin{cases}n/2, & \mbox{if }n\mbox{ is even} \\3n+1, & \mbox{if }n\mbox{ is odd}\end{cases}\)
두 줄 이상의 방정식	`\begin{matrix}f(n+1) &=& (n+1)^2 \\&=& n^2 + 2n + 1\end{matrix}`	\(\begin{matrix}f(n+1) &=& (n+1)^2 \\&=& n^2 + 2n + 1\end{matrix}\)

Overview

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입출력 예시

특수문자 작성법

위, 아래, 전치, 후치 첨자

분수, 행렬, 여러행

참고자료

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