Basic Commands
Diacritical marks
| Category | Syntex | Result |
|---|---|---|
| diacritical marks | \dot{a}, \ddot{a}, \acute{a}, \grave{a} | $latex \dot{a}, \ddot{a}, \acute{a}, \grave{a}$ |
| \check{a}, \breve{a}, \tilde{a}, \widetilde{a}, \bar{a} | $latex \check{a}, \breve{a}, \tilde{a}, \widetilde{a}, \bar{a}$ | |
| \hat{a}, \widehat{a}, \vec{a} | $latex \hat{a}, \widehat{a}, \vec{a}$ |
Arithmetic functions
| Category | Syntax | Result |
|---|---|---|
| exponent and square | \exp_a b = a^b, \exp b = e^b, 10^m | $latex \exp_a b=a^b, \exp b=e^b, 10^m$ |
| logarithm | \ln c, \lg d = \log e, \log_{10} f | $latex \ln c, \lg d = \log e, \log_{10} f$ |
| trigonometric function | \sin a, \cos b, \tan c, \cot d, \sec e, \csc f | $latex \sin a, \cos b, \tan c, \cot d, \sec e, \csc f$ |
| inverse trigonometric function | \arcsin h, \arccos i, \arctan j | $latex \arcsin h, \arccos i, \arctan j$ |
| hyperbolic function | \sinh k, \cosh l, \tanh m, \coth n | $latex \sinh k, \cosh l, \tanh m, \coth n$ |
| absolute value | |s| | $latex |s|$ |
Minimum and maximum
| Category | Syntax | Result |
|---|---|---|
| min / max / infinity | \min x, \max y, \inf s, \sup w | $latex \min x, \max y, \inf s, \sup w$ |
| limit | \lim u, \liminf v, \limsup w | $latex \lim u, \liminf v, \limsup w$ |
| dimension / matrix | \dim p, \deg q, \det m, \ker, \phi | $latex \dim p, \deg q, \det m, \ker, \phi$ |
| inductive limit / projective limit | \injlim, \varinjlim, \projlim, \varprojlim | $latex \injlim, \varinjlim, \projlim, \varprojlim$ |
Projection
| Category | Syntax | Result |
|---|---|---|
| projective function | \Pr j, \hom l, \lVert z, \rVert, \arg z | $latex \Pr j, \hom l, \lVert z, \rVert, \arg z$ |
Derivatives
| Category | Syntax | Result |
|---|---|---|
| single derivative | dt, \mathrm{d}t, \partial t, \nabla\psi | $latex dt, \mathrm{d}t, \partial t, \nabla\psi$ |
| dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x} | $latex dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}$ | |
| single derivative (Lagrangian) | \prime, \backprime, f^\prime, f’, f”, f^{(3)}, \dot y, \ddot y | $latex \prime, \backprime, f^\prime, f’, f”, f^{(3)}, \dot y, \ddot y$ |
Similar character symbols
| Category | Syntax | Result |
|---|---|---|
| similar character symbol | \infty, \aleph, \complement, \backepsilon, \eth, \Finv, \Game, \hbar | $latex \infty, \aleph, \complement, \backepsilon, \eth, \Finv, \Game, \hbar$ |
| \Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS | $latex \Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS$ |
Modular arithmetic
| Category | Syntax | Result |
|---|---|---|
| congruence | s_k \equiv 0 \pmod{m} | $latex s_k \equiv 0 \pmod{m}$ |
| remainder | a \bmod b | $latex a\bmod b$ |
| great common divisor / least common multiple | \gcd(m, n), \operatorname{lcm}(m, n) | $latex \gcd(m, n), \mathrm{lcm}(m, n)$ |
| divisibility relationship | \mid, \nmid, \shortmid, \nshortmid | $latex \mid, \nmid, \shortmid, \nshortmid$ |
Root
| Category | Syntax | Result |
|---|---|---|
| n-th root | \surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{\frac{x^3+y^3}{2}} | $latex \surd, \sqrt{2}, \sqrt[n]{}, \sqrt[3]{\frac{x^3+y^3}{2}}$ |
Operator
| Category | Syntax | Result |
|---|---|---|
| addition / subtraction | +, -, \pm, \mp, \dotplus | $latex +, -, \pm, \mp, \dotplus$ |
| multiplication / division | \times, \div, \divideontimes, /, \backslash | $latex \times, \div, \divideontimes, /, \backslash$ |
| \cdot, * \ast, \star, \circ, \bullet | $latex \cdot, * \ast, \star, \circ, \bullet$ | |
| box shaped operator | \boxplus, \boxminus, \boxtimes, \boxdot | $latex \boxplus, \boxminus, \boxtimes, \boxdot$ |
| direct sum / tensor product | \oplus, \ominus, \otimes, \oslash, \odot | $latex \oplus, \ominus, \otimes, \oslash, \odot$ |
| circle shaped operator | \circleddash, \circledcirc, \circledast | $latex \circleddash, \circledcirc, \circledast$ |
| big operator | \bigoplus, \bigotimes, \bigodot | $latex \bigoplus, \bigotimes, \bigodot$ |
| semidirect product | \ltimes, \rtimes | $latex \ltimes, \rtimes$ |
| other operator | \centerdot, \leftthreetimes, \rightthreetimes | $latex \centerdot, \leftthreetimes, \rightthreetimes$ |
| \intercal, \barwedge, \veebar, \doublebarwedge | $latex \intercal, \barwedge, \veebar, \doublebarwedge$ | |
| \amalg, \dagger, \ddagger | $latex \amalg, \dagger, \ddagger$ | |
| \wr, \triangleleft, \triangleright | $latex \wr, \triangleleft, \triangleright$ |
Set
| Category | Syntax | Result |
|---|---|---|
| empty set | \{ \}, \empty, \emptyset, \varnothing | $latex \{\}, \empty, \emptyset, \varnothing$ |
| element relationship | \in, \notin, \not\in, \ni, \not\ni | $latex \in, \notin, \not\in, \ni, \not\ni$ |
| intersection | \cap, \Cap, \sqcap, \bigcap | $latex \cap, \Cap, \sqcap, \bigcap$ |
| union / disjoint set | \cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus | $latex \cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus$ |
| difference / Cartesian product | \setminus, \smallsetminus, \times | $latex \setminus, \smallsetminus, \times$ |
| subset | \subset, \notsubset, \Subset, \sqsubset | $latex \subset, \not\subset, \Subset, \sqsubset$ |
| \supset, \notsupset, \Supset, \sqsupset | $latex \supset, \not\supset, \Supset, \sqsupset$ | |
| \subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq | $latex \subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq$ | |
| \subseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq | $latex \subseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq$ | |
| \subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq | $latex \subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq$ | |
| \supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq | $latex \supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq$ |
Relation
| Category | Syntax | Result |
|---|---|---|
| equivalence relation | =, \ne, \neq, \equiv, \not\equiv | $latex =, \ne, \neq, \equiv, \not\equiv$ |
| \doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, := | $latex \doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=$ | |
| \sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong | $latex \sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong$ | |
| \approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto | $latex \approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto$ | |
| order relation | <, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot | $latex <, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot$ |
| >, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot | $latex >, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot$ | |
| \le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq | $latex \le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq$ | |
| \ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq | $latex \ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq$ | |
| \lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless | $latex \lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless$ | |
| \leqslant, \nleqslant, \eqslantless | $latex \leqslant, \nleqslant, \eqslantless$ | |
| \geqslant, \ngeqslant, \eqslantgtr | $latex \geqslant, \ngeqslant, \eqslantgtr$ | |
| \lesssim, \lnsim, \lessapprox, \lnapprox | $latex \lesssim, \lnsim, \lessapprox, \lnapprox$ | |
| \gtrsim, \gnsim, \gtrapprox, \gnapprox | $latex \gtrsim, \gnsim, \gtrapprox, \gnapprox$ | |
| \prec, \nprec, \preceq, \npreceq, \precneqq | $latex \prec, \nprec, \preceq, \npreceq, \precneqq$ | |
| \succ, \nsucc, \succeq, \nsucceq, \succneqq | $latex \succ, \nsucc, \succeq, \nsucceq, \succneqq$ | |
| \preccurlyeq, \curlyeqprec | $latex \preccurlyeq, \curlyeqprec$ | |
| \succcurlyeq, \curlyeqsucc | $latex \succcurlyeq, \curlyeqsucc$ | |
| \precsim, \precnsim, \precapprox, \precnapprox | $latex \precsim, \precnsim, \precapprox, \precnapprox$ | |
| \succsim, \succnsim, \succapprox, \succnapprox | $latex \succsim, \succnsim, \succapprox, \succnapprox$ | |
| \vartriangleleft, \ntriangleleft, \vartriangleright, \ntriangleright | $latex \vartriangleleft, \ntriangleleft, \vartriangleright, \ntriangleright$ | |
| \trianglelefteq, \ntrianglelefteq, \trianglerighteq, \ntrianglerighteq | $latex \trianglelefteq, \ntrianglelefteq, \trianglerighteq, \ntrianglerighteq$ | |
| other relation | \diagup, \diagdown | $latex \diagup, \diagdown$ |
| \eqcirc, \circeq, \triangleq, \bumpeq, \Bumpeq, \doteqdot, \risingdotseq, \fallingdotseq | $latex \eqcirc, \circeq, \triangleq, \bumpeq, \Bumpeq, \doteqdot, \risingdotseq, \fallingdotseq$ | |
| \between, \pitchfork | $latex \between, \pitchfork$ | |
| \smile, \frown | $latex \smile, \frown$ |
Geometry
| Category | Syntax | Result |
|---|---|---|
| parallel | \parallel, \nparallel, \shortparallel, \nshortparallel | $latex \parallel, \nparallel, \shortparallel, \nshortparallel$ |
| angle | \perp, \angle, \sphericalangle, \measuredangle, 45^\circ | $latex \perp, \angle, \sphericalangle, \measuredangle, 45^\circ$ |
| other geometry | \Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar | $latex \Box, \blacksquare, \diamond, \Diamond \lozenge, \blacklozenge, \bigstar$ |
| \bigcirc, \triangle \bigtriangleup, \bigtriangledown | $latex \bigcirc, \triangle \bigtriangleup, \bigtriangledown$ | |
| \vartriangle, \triangledown | $latex \vartriangle, \triangledown$ | |
| \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright | $latex \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright$ |
Logic
| Category | Syntax | Result |
|---|---|---|
| quantifier | \forall, \exists, \nexists | $latex \forall, \exists, \nexists$ |
| deduction | \therefore, \because, \And | $latex \therefore, \because, \And$ |
| disjunction | \lor, \vee, \curlyvee, \bigvee | $latex \lor, \vee, \curlyvee, \bigvee$ |
| conjuction | \land, \wedge, \curlywedge, \bigwedge | $latex \land, \wedge, \curlywedge, \bigwedge$ |
| negation / false / true | \lnot \neg, \not\mathrm{R}, \bot, \top | $latex \lnot \neg, \not\mathrm{R}, \bot, \top$ |
| inference / satisfaction | \vdash \dashv, \vDash, \Vdash, \models | $latex \vdash \dashv, \vDash, \Vdash, \models$ |
| \Vvdash, \nvdash, \nVdash, \nvDash, \nVDash | $latex \Vvdash, \nvdash, \nVdash, \nvDash, \nVDash$ | |
| delimiter | \ulcorner, \urcorner, \llcorner, \lrcorner | $latex \ulcorner, \urcorner, \llcorner, \lrcorner$ |
Arrow
| Category | Syntax | Result |
|---|---|---|
| arrow | \Rrightarrow, \Lleftarrow | $latex \Rrightarrow, \Lleftarrow$ |
| \Rightarrow, \nRightarrow, \Longrightarrow \implies | $latex \Rightarrow, \nRightarrow, \Longrightarrow \implies$ | |
| \Leftarrow, \nLeftarrow, \Longleftarrow | $latex \Leftarrow, \nLeftarrow, \Longleftarrow$ | |
| \Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \iff | $latex \Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow \iff$ | |
| \Uparrow, \Downarrow, \Updownarrow | $latex \Uparrow, \Downarrow, \Updownarrow$ | |
| \rightarrow \to, \nrightarrow, \longrightarrow | $latex \rightarrow \to, \nrightarrow, \longrightarrow$ | |
| \leftarrow \gets, \nleftarrow, \longleftarrow | $latex \leftarrow \gets, \nleftarrow, \longleftarrow$ | |
| \leftrightarrow, \nleftrightarrow, \longleftrightarrow | $latex \leftrightarrow, \nleftrightarrow, \longleftrightarrow$ | |
| \uparrow, \downarrow, \updownarrow | $latex \uparrow, \downarrow, \updownarrow$ | |
| \nearrow, \swarrow, \nwarrow, \searrow | $latex \nearrow, \swarrow, \nwarrow, \searrow$ | |
| \mapsto, \longmapsto | $latex \mapsto, \longmapsto$ | |
| \rightharpoonup, \rightharpoondown, \leftharpoonup, \leftharpoondown, \upharpoonleft, \upharpoonright, \downharpoonleft, \downharpoonright, \rightleftharpoons, \leftrightharpoons | $latex \rightharpoonup, \rightharpoondown, \leftharpoonup, \leftharpoondown, \upharpoonleft, \upharpoonright, \downharpoonleft, \downharpoonright, \rightleftharpoons, \leftrightharpoons$ | |
| \hookrightarrow, \hookleftarrow, \multimap, \leftrightsquigarrow, \rightsquigarrow, \twoheadrightarrow, \twoheadleftarrow | $latex \hookrightarrow, \hookleftarrow, \multimap, \leftrightsquigarrow, \rightsquigarrow, \twoheadrightarrow, \twoheadleftarrow$ |
Others
| Category | Syntax | Result |
|---|---|---|
| escape | \#, \$, \%, \&, \_, \{, \}, \sim, \backslash | $latex \#, \$, \%, \&, \_, \{, \}, \sim, \backslash$ |
| card / note | \diamondsuit, \heartsuit, \clubsuit, \spadesuit, \flat, \natural, \sharp | $latex \diamondsuit, \heartsuit, \clubsuit, \spadesuit, \flat, \natural, \sharp$ |
| others | \P, \S, \ldots, \cdots | $latex \P, \S, \ldots, \cdots$ |
| \checkmark | $latex \checkmark$ |
Equation
Subscript and Superscript
| Category | Syntax | Result |
|---|---|---|
| superscipt | a^2 | $latex a^2$ |
| subscript | y_m | $latex y_m$ |
| x_s-x_D | $latex x_s-x_D$ | |
| multi letter script | a^{2+2} | $latex a^{2+2}$ |
| a_{i,j} | $latex a_{i,j}$ | |
| simultaneous script | x_2^3 or x^3_2 | $latex x^3_2$ |
| multi script | 10^{11^{12}} | $latex 10^{11^{12}}$ |
| x_{n_i} | $latex x_{n_i}$ | |
| prefix / postfix script | \sideset{_1^2}{_3^4}\prod_a^b | $latex \sideset{_1^2}{_3^4}\prod_a^b$ |
| {}_{b}^{a}X | $latex {}_{b}^{a}X$ | |
| _{c}^{a}Z_{d}^{b} | $latex _{c}^{a}Z_{d}^{b}$ | |
| \underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}} | $latex \underset{y}{\overset{x}{_{c}^{a}Z_{d}^{b}}}$ | |
| upper / lower middle script | \overset{\alpha}{\omega} | $latex \overset{\alpha}{\omega}$ |
| \underset{\alpha}{\omega} | $latex \underset{\alpha}{\omega}$ | |
| \overset{\alpha}{\underset{\gamma}{\omega}} | $latex \overset{\alpha}{\underset{\gamma}{\omega}}$ | |
| \stackrel{\alpha}{\omega} | $latex \stackrel{\alpha}{\omega}$ | |
| derivative | x’, y”, f’, f” | $latex x’, y”, f’, f”$ |
| x^\prime, y^{\prime\prime} | $latex x^\prime, y^{\prime\prime}$ | |
| \dot{x}, \ddot{x} | $latex \dot{x}, \ddot{x}$ |
Over Line and Underline
| Category | Syntax | Result |
| tilde | \widetilde{ABC} | $latex \widetilde{ABC}$ |
| hat | \widehat{ABC} | $latex \widehat{ABC}$ |
| over line | \overline{ABC} | $latex \overline{ABC}$ |
| underline | \underline{ABC} | $latex \underline{ABC}$ |
| over right line | \overrightarrow{ABC} | $latex \overrightarrow{ABC}$ |
| over left line | \overleftarrow{ABC} | $latex \overleftarrow{ABC}$ |
| over brace | \overbrace{1 + 1 + \cdots + 1}^n = n | $latex \overbrace{1 + 1 + \cdots + 1}^n = n$ |
| e_i = (\overbrace{0, \ldots, 0}^{i – 1}, 1, 0, \ldots, 0) | $latex e_i = (\overbrace{0, \ldots, 0}^{i – 1}, 1, 0, \ldots, 0)$ | |
| under brace | \underbrace{1 + 1 + \cdots + 1}_n = n | $latex \underbrace{1 + 1 + \cdots + 1}_n = n$ |
| e_i = (\underbrace{0, \ldots, 0}_{i – 1}, 1, 0, \ldots, 0) | $latex e_i = (\underbrace{0, \ldots, 0}_{i – 1}, 1, 0, \ldots, 0)$ | |
| root | \sqrt{123} | $latex \sqrt{123}$ |
| \sqrt[3]{123} | $latex \sqrt[3]{123}$ | |
| t = t_0 / \sqrt{1 – v^2 / c^2} | $latex t = t_0 / \sqrt{1 – v^2 / c^2}$ |
Large Operator
| Category | Syntax | Result |
|---|---|---|
| sum | \sum_{k=1}^N k^2 | $latex \sum_{k=1}^N k^2$ |
| \sum\nolimits_{k=1}^N k^2 | $latex \sum\nolimits_{k=1}^N k^2$ | |
| product | \prod_{i=1}^N x_i | $latex \prod_{i=1}^N x_i$ |
| \prod\nolimits_{i=1}^N x_i | $latex \prod\nolimits_{i=1}^N x_i$ | |
| limit | \lim_{n \to \infty}x_n | $latex \lim_{n \to \infty}x_n$ |
| \lim\nolimits_{n \to \infty}x_n | $latex \lim\nolimits_{n \to \infty}x_n$ | |
| integral | \int_{-N}^{N} e^x\, dx | $latex \int_{-N}^{N} e^x\, dx$ |
| \int\limits_{-N}^{N} e^x\, dx | $latex \int\limits_{-N}^{N} e^x\, dx$ | |
| double integral | \iint_{\mathbb{R}^2} e^{-x^2-y^2}\, dx\,dy | $latex \iint_{\mathbb{R}^2} e^{-x^2-y^2}\, dx\,dy$ |
| \iint\limits_{\mathbb{R}^2} e^{-x^2-y^2}\, dx\,dy | $latex \iint\limits_{\mathbb{R}^2} e^{-x^2-y^2}\, dx\,dy$ | |
| multi integral | \iiint_{\mathbb{R}^3} e^{-x^2-y^2-z^2}\, dx\,dy\,dz | $latex \iiint_{\mathbb{R}^3} e^{-x^2-y^2-z^2}\, dx\,dy\,dz$ |
| \iiint\limits_{\mathbb{R}^3} e^{-x^2-y^2-z^2}\, dx\,dy\,dz | $latex \iiint\limits_{\mathbb{R}^3} e^{-x^2-y^2-z^2}\, dx\,dy\,dz$ | |
| line integral | \int_{C} x^3\, dx + 4y^2\, dy | $latex \int_{C} x^3\, dx + 4y^2\, dy$ |
| \oint_{C’} x^3\, dx + 4y^2\, dy | $latex \oint_{C’} x^3\, dx + 4y^2\, dy$ | |
| surface integral | \iint_{S} x^2\,dx\,dy + y^2\,dz\,dx + z^2\,dx\,dy | $latex \iint_{S} x^2\,dx\,dy + y^2\,dz\,dx + z^2\,dx\,dy$ |
Fraction
| Category | Syntax | Result |
|---|---|---|
| fraction | \frac{3}{4} | $latex \frac{3}{4}$ |
| fraction (textstyle) | \tfrac{3}{4} | $latex \tfrac{3}{4}$ |
| fraction (displaystyle) | \dfrac{3}{4} | $latex \dfrac{3}{4}$ |
| t=\frac{t_0}{\sqrt{1-\dfrac{v^2}{c^2}}} | $latex t=\frac{t_0}{\sqrt{1-\dfrac{v^2}{c^2}}}$ | |
| t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}} | $latex t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}}$ | |
| continued fraction | \cfrac{1}{\sqrt{2} + \cfrac{1}{\sqrt{2} + \cfrac{1}{\sqrt{2} + \ddots}}} | $latex \cfrac{1}{\sqrt{2} + \cfrac{1}{\sqrt{2} + \cfrac{1}{\sqrt{2} + \ddots}}}$ |
Binomial Coefficient
| Category | Syntax | Result |
|---|---|---|
| binomial coefficient | \binom{n}{k} | $latex \binom{n}{k}$ |
| binomial coefficient (textstyle) | \tbinom{n}{k} | $latex \tbinom{n}{k}$ |
| binomial coefficient (displaystyle) | \dbinom{n}{k} | $latex \dbinom{n}{k}$ |
Matrix
| Category | Syntax | Result |
|---|---|---|
| matrix | \begin{pmatrix} x & y \\ z & v \end{pmatrix} | $latex \begin{pmatrix} x & y \\ z & v \end{pmatrix}$ |
| \begin{bmatrix} 0 & \cdots & 0 \ \vdots & \ddots & \vdots \ 0 & \cdots & 0 \end{bmatrix} | $latex \begin{bmatrix} 0 & \cdots & 0 \ \vdots & \ddots & \vdots \ 0 & \cdots & 0 \end{bmatrix}$ | |
| \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} | $latex \begin{Bmatrix} x & y \\ z & v \end{Bmatrix}$ | |
| \begin{vmatrix} x & y \\ z & v \end{vmatrix} | $latex \begin{vmatrix} x & y \\ z & v \end{vmatrix}$ | |
| \begin{Vmatrix} x & y \\ z & v \end{Vmatrix} | $latex \begin{Vmatrix} x & y \\ z & v \end{Vmatrix}$ | |
| \begin{matrix} x & y \\ z & v \end{matrix} | \$latex \begin{matrix} x & y \\ z & v \end{matrix}$ | |
| \begin{smallmatrix} a & b \\ c & d \end{smallmatrix} | $latex \begin{smallmatrix} a & b \\ c & d \end{smallmatrix}$ |
Multi Lines
| Category | Syntax | Result |
|---|---|---|
| cases | f(n)= \begin{cases} n/2 & n=2,4,6,\ldots \\ 3n+1 & n=1,3,5,\ldots \end{cases} | $latex f(n)= \begin{cases} n/2 & n=2,4,6,\ldots \\ 3n+1 & n=1,3,5,\ldots \end{cases}$ |
Font
| Category | Syntanx | Result |
|---|---|---|
| Greek | \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta | $latex \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta$ |
| \Iota \Kappa \Lambda \Mu \Nu \Xi \Pi \Rho | $latex \Iota \Kappa \Lambda \Mu \Nu \Xi \Pi \Rho$ | |
| \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega | $latex \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega$ | |
| \alpha \beta \gamma \delta \epsilon \zeta \eta \theta | $latex \alpha \beta \gamma \delta \epsilon \zeta \eta \theta$ | |
| \iota \kappa \lambda \mu \nu \xi \pi \rho | $latex \iota \kappa \lambda \mu \nu \xi \pi \rho$ | |
| \sigma \tau \upsilon \phi \chi \psi \omega | $latex \sigma \tau \upsilon \phi \chi \psi \omega$ | |
| \varepsilon \digamma \varkappa \varpi | $latex \varepsilon \digamma \varkappa \varpi$ | |
| \varrho \varsigma \vartheta \varphi | $latex \varrho \varsigma \vartheta \varphi$ | |
| Hebrew | \aleph \beth \gimel \daleth | $latex \aleph \beth \gimel \daleth$ |
| Chalkboard Bold Roman | \mathbb{ABCDEFGHI} | $latex \mathbb{ABCDEFGHI}$ |
| \mathbb{JKLMNOPQR} | $latex \mathbb{JKLMNOPQR}$ | |
| \mathbb{STUVWXYZ} | $latex \mathbb{STUVWXYZ}$ | |
| Bold Roman | \mathbf{ABCDEFGHI} | $latex \mathbf{ABCDEFGHI}$ |
| \mathbf{JKLMNOPQR} | $latex \mathbf{JKLMNOPQR}$ | |
| \mathbf{STUVWXYZ} | $latex \mathbf{STUVWXYZ}$ | |
| \mathbf{abcdefghijklm} | $latex \mathbf{abcdefghijklm}$ | |
| \mathbf{nopqrstuvwxyz} | $latex \mathbf{nopqrstuvwxyz}$ | |
| \mathbf{0123456789} | $latex \mathbf{0123456789}$ | |
| Bold Greek | \boldsymbol{AlphaBetaGammaDeltaEpsilonZetaEtaTheta} | $latex \boldsymbol{AlphaBetaGammaDeltaEpsilonZetaEtaTheta}$ |
| \boldsymbol{IotaKappaLambdaMuNuXiPiRho} | $latex \boldsymbol{IotaKappaLambdaMuNuXiPiRho}$ | |
| \boldsymbol{SigmaTauUpsilonPhiChiPsiOmega} | $latex \boldsymbol{SigmaTauUpsilonPhiChiPsiOmega}$ | |
| \boldsymbol{alphabetagammadeltaepsilonzetaetatheta} | $latex \boldsymbol{alphabetagammadeltaepsilonzetaetatheta}$ | |
| \boldsymbol{iotakappalambdamunuxipirho} | $latex \boldsymbol{iotakappalambdamunuxipirho}$ | |
| \boldsymbol{sigmatauupsilonphichipsiomega} | $latex \boldsymbol{sigmatauupsilonphichipsiomega}$ | |
| \boldsymbol{varepsilondigammavarkappavarpi} | $latex \boldsymbol{varepsilondigammavarkappavarpi}$ | |
| \boldsymbol{varrhovarsigmavarthetavarphi} | $latex \boldsymbol{varrhovarsigmavarthetavarphi}$ | |
| Italic | \mathit{0123456789} | $latex \mathit{0123456789}$ |
| Roman | \mathrm{ABCDEFGHI} | $latex \mathrm{ABCDEFGHI}$ |
| \mathrm{JKLMNOPQR} | $latex \mathrm{JKLMNOPQR}$ | |
| \mathrm{STUVWXYZ} | $latex \mathrm{STUVWXYZ}$ | |
| \mathrm{abcdefghijklm} | $latex \mathrm{abcdefghijklm}$ | |
| \mathrm{nopqrstuvwxyz} | $latex \mathrm{nopqrstuvwxyz}$ | |
| \mathrm{0123456789} | $latex \mathrm{0123456789}$ | |
| San-serif | \mathsf{ABCDEFGHI} | $latex \mathsf{ABCDEFGHI}$ |
| \mathsf{JKLMNOPQR} | $latex \mathsf{JKLMNOPQR}$ | |
| \mathsf{STUVWXYZ} | $latex \mathsf{STUVWXYZ}$ | |
| \mathsf{abcdefghijklm} | $latex \mathsf{abcdefghijklm}$ | |
| \mathsf{nopqrstuvwxyz} | $latex \mathsf{nopqrstuvwxyz}$ | |
| \mathsf{0123456789} | $latex \mathsf{0123456789}$ | |
| Cursive | \mathcal{ABCDEFGHI} | $latex \mathcal{ABCDEFGHI}$ |
| \mathcal{JKLMNOPQR} | $latex \mathcal{JKLMNOPQR}$ | |
| \mathcal{STUVWXYZ} | $latex \mathcal{STUVWXYZ}$ | |
| Black letter | \mathfrak{ABCDEFGHI} | $latex \mathfrak{ABCDEFGHI}$ |
| \mathfrak{JKLMNOPQR} | $latex \mathfrak{JKLMNOPQR}$ | |
| \mathfrak{STUVWXYZ} | $latex \mathfrak{STUVWXYZ}$ | |
| \mathfrak{abcdefghijklm} | $latex \mathfrak{abcdefghijklm}$ | |
| \mathfrak{nopqrstuvwxyz} | $latex \mathfrak{nopqrstuvwxyz}$ | |
| \mathfrak{0123456789} | $latex \mathfrak{0123456789}$ |
Parentheses
Size
| Category | Syntax | Result |
|---|---|---|
| Basic size | \(x, y) | $latex \text (x, y)$ |
| (\sqrt{2})^{\sqrt{2}} | $latex (\sqrt{2})^{\sqrt{2}}$ | |
| Auto size | \left(x, y\right) | $latex \left(x, y\right)$ |
| \left(\sqrt{2}\right)^{\sqrt{2}} | $latex \left(\sqrt{2}\right)^{\sqrt{2}}$ | |
| \left(\frac{1}{2}\right)^n | $latex \left(\frac{1}{2}\right)^n$ |
Shape
| Category | Syntax | Result |
|---|---|---|
| (A) | $latex (A)$ | |
| [A] | $latex [A]$ | |
| \{A\} | $latex \{A\}$ | |
| |z| or \vert z \vert | $latex |z|$ | |
| \|f\| or \lVert f \rVert | $latex \|f\|$ | |
| \lfloor \sqrt{n} \rfloor | $latex \lfloor \sqrt{n} \rfloor$ | |
| \lceil \sqrt{n} \rceil | $latex \lceil \sqrt{n} \rceil$ | |
| \ulcorner \phi \urcorner | $latex \ulcorner \phi \urcorner$ | |
| \llcorner \phi \lrcorner | $latex \llcorner \phi \lrcorner$ | |
| / A \backslash | $latex / A \backslash$ | |
| \langle \psi | | $latex \langle \psi |$ | |
| \left[0, \frac{1}{2}\right) | $latex \left[0, \frac{1}{2}\right)$ |
