도움말:TeX 문법/특수문자

TeX 문법 도움말 중, 특수문자에 입력에 관한 문서입니다.

구별 부호[원본 편집]

\dot{a}, \ddot{a}, \acute{a}, \grave{a} [math]\displaystyle{ \dot{a}, \ddot{a}, \acute{a}, \grave{a} \! }[/math]
\check{a}, \breve{a}, \tilde{a}, \bar{a} [math]\displaystyle{ \check{a}, \breve{a}, \tilde{a}, \bar{a} \! }[/math]
\hat{a}, \widehat{a}, \vec{a} [math]\displaystyle{ \hat{a}, \widehat{a}, \vec{a} \! }[/math]

산술함수[원본 편집]

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

상한과 하한[원본 편집]

\min x, \max y, \inf s, \sup t [math]\displaystyle{ \min x, \max y, \inf s, \sup t \! }[/math]
\lim u, \liminf v, \limsup w [math]\displaystyle{ \lim u, \liminf v, \limsup w \! }[/math]
\dim p, \deg q, \det m, \ker\phi [math]\displaystyle{ \dim p, \deg q, \det m, \ker\phi \! }[/math]

투영[원본 편집]

\Pr j, \hom l, \lVert z \rVert or \| z \|, \arg z [math]\displaystyle{ \Pr j, \hom l, \lVert z \rVert, \arg z \! }[/math]

미분[원본 편집]

dt, \operatorname{d}\!t, \partial t, \nabla\psi [math]\displaystyle{ dt, \operatorname{d}\!t, \partial t, \nabla\psi\! }[/math]
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 [math]\displaystyle{ 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 \! }[/math]
\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y [math]\displaystyle{ \prime, \backprime, f^\prime, f', f'', f^{(3)} \!, \dot y, \ddot y }[/math]

유사 문자 기호[원본 편집]

\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar [math]\displaystyle{ \infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar \! }[/math]
\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS [math]\displaystyle{ \Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS \! }[/math]

모듈러 연산[원본 편집]

s_k \equiv 0 \pmod{m} [math]\displaystyle{ s_k \equiv 0 \pmod{m} \! }[/math]
a\,\bmod\,b [math]\displaystyle{ a\,\bmod\,b \! }[/math]
\gcd(m, n), \operatorname{lcm}(m, n) [math]\displaystyle{ \gcd(m, n), \operatorname{lcm}(m, n) }[/math]
\mid, \nmid, \shortmid, \nshortmid [math]\displaystyle{ \mid, \nmid, \shortmid, \nshortmid \! }[/math]

근호[원본 편집]

\surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{x^3+y^3 \over 2} [math]\displaystyle{ \surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{x^3+y^3 \over 2} \! }[/math]

연산자[원본 편집]

+, -, \pm, \mp, \dotplus [math]\displaystyle{ +, -, \pm, \mp, \dotplus \! }[/math]
\times, \div, \divideontimes, /, \backslash [math]\displaystyle{ \times, \div, \divideontimes, /, \backslash \! }[/math]
\cdot, * \ast, \star, \circ, \bullet [math]\displaystyle{ \cdot, * \ast, \star, \circ, \bullet \! }[/math]
\boxplus, \boxminus, \boxtimes, \boxdot [math]\displaystyle{ \boxplus, \boxminus, \boxtimes, \boxdot \! }[/math]
\oplus, \ominus, \otimes, \oslash, \odot [math]\displaystyle{ \oplus, \ominus, \otimes, \oslash, \odot\! }[/math]
\circleddash, \circledcirc, \circledast [math]\displaystyle{ \circleddash, \circledcirc, \circledast \! }[/math]
\bigoplus, \bigotimes, \bigodot [math]\displaystyle{ \bigoplus, \bigotimes, \bigodot \! }[/math]

집합[원본 편집]

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

관계[원본 편집]

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

기하[원본 편집]

\parallel, \nparallel, \shortparallel, \nshortparallel [math]\displaystyle{ \parallel, \nparallel, \shortparallel, \nshortparallel \! }[/math]
\perp, \angle, \sphericalangle, \measuredangle, 45^\circ [math]\displaystyle{ \perp, \angle, \sphericalangle, \measuredangle, 45^\circ \! }[/math]
\Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar [math]\displaystyle{ \Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar \! }[/math]
\bigcirc, \triangle \bigtriangleup, \bigtriangledown [math]\displaystyle{ \bigcirc, \triangle \bigtriangleup, \bigtriangledown \! }[/math]
\vartriangle, \triangledown [math]\displaystyle{ \vartriangle, \triangledown\! }[/math]
\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright [math]\displaystyle{ \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright \! }[/math]

논리[원본 편집]

\forall, \exists, \nexists [math]\displaystyle{ \forall, \exists, \nexists \! }[/math]
\therefore, \because, \And [math]\displaystyle{ \therefore, \because, \And \! }[/math]
\lor, \vee, \curlyvee, \bigvee [math]\displaystyle{ \lor, \vee, \curlyvee, \bigvee \! }[/math]
\land, \wedge, \curlywedge, \bigwedge [math]\displaystyle{ \land, \wedge, \curlywedge, \bigwedge \! }[/math]
\bar{q}, \bar{abc}, \overline{q}, \overline{abc},

\lnot \neg, \not\operatorname{R}, \bot, \top

[math]\displaystyle{ \bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \! }[/math]

[math]\displaystyle{ \lnot \neg, \not\operatorname{R}, \bot, \top \! }[/math]

\vdash \dashv, \vDash, \Vdash, \models [math]\displaystyle{ \vdash \dashv, \vDash, \Vdash, \models \! }[/math]
\Vvdash \nvdash \nVdash \nvDash \nVDash [math]\displaystyle{ \Vvdash \nvdash \nVdash \nvDash \nVDash \! }[/math]
\ulcorner \urcorner \llcorner \lrcorner [math]\displaystyle{ \ulcorner \urcorner \llcorner \lrcorner \, }[/math]

화살표[원본 편집]

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

특수[원본 편집]

\amalg \P \S \% \dagger \ddagger \ldots \cdots [math]\displaystyle{ \amalg \P \S \% \dagger \ddagger \ldots \cdots \! }[/math]
\smile \frown \wr \triangleleft \triangleright [math]\displaystyle{ \smile \frown \wr \triangleleft \triangleright\! }[/math]
\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp [math]\displaystyle{ \diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp \! }[/math]

기타[원본 편집]

\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes [math]\displaystyle{ \diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes \! }[/math]
\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq [math]\displaystyle{ \eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq \! }[/math]
\intercal \barwedge \veebar \doublebarwedge \between \pitchfork [math]\displaystyle{ \intercal \barwedge \veebar \doublebarwedge \between \pitchfork \! }[/math]
\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright [math]\displaystyle{ \vartriangleleft \ntriangleleft \vartriangleright \ntriangleright \! }[/math]
\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq [math]\displaystyle{ \trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq \! }[/math]
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