Math.Математические формулы — различия между версиями

Текущая версия на 17:52, 13 марта 2013

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MediaWiki поддерживает встраиваемые математические формулы, использующие TeX.

Содержание

1 Использование
2 Специальные символы
3 Функции, символы, специальные символы
4 Выражения
5 Алфавиты и шрифты
6 Цвет
7 Форматирование
- 7.1 Расстояние
8 Примеры

[править] Использование

Достаточно нажать кнопку «править» и заключить LaTeX-формулу в тэги math.

Например, <math>\int\limits_1^\infin \frac{1}{k}\,dk</math>

$\int\limits_1^\infin \frac{1}{k}\,dk$

[править] Специальные символы

<math>\# \$ \% \_ \{ \}</math> дает $\# \$ \% \_ \{ \}$

Syntax

Rendering

&alpha; &beta; &gamma; &delta; &epsilon; &zeta;
&eta; &theta; &iota; &kappa; &lambda; &mu; &nu;
&xi; &omicron; &pi; &rho; &sigma; &sigmaf;
&tau; &upsilon; &phi; &chi; &psi; &omega;
&Gamma; &Delta; &Theta; &Lambda; &Xi; &Pi;
&Sigma; &Phi; &Psi; &Omega;

α β γ δ ε ζ
η θ ι κ λ μ ν
ξ ο π ρ σ ς
τ υ φ χ ψ ω
Γ Δ Θ Λ Ξ Π
Σ Φ Ψ Ω

&int; &sum; &prod; &radic; &minus; &plusmn; &infty;
&asymp; &prop; {{=}} &equiv; &ne; &le; &ge; 
&times; &middot; &divide; &part; &prime; &Prime;
&nabla; &permil; &deg; &there4; &Oslash; &oslash;
&isin; &notin; 
&cap; &cup; &sub; &sup; &sube; &supe;
&not; &and; &or; &exist; &forall; 
&rArr; &hArr; &rarr; &harr; &uarr; 
&alefsym; - &ndash; &mdash;

∫ ∑ ∏ √ − ± ∞
≈ ∝ = ≡ ≠ ≤ ≥
× · ÷ ∂ ′ ″
∇ ‰ ° ∴ Ø ø
∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇
¬ ∧ ∨ ∃ ∀
⇒ ⇔ → ↔ ↑
ℵ - – —

[править] Функции, символы, специальные символы

[править] Акценты / диакритические

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

[править] Стандартные функции

`\sin a \cos b \tan c`	$\sin a \cos b \tan c$
`\sec d \csc e \cot f`	$\sec d \csc e \cot f\,$
`\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}o\,\operatorname{ch}p\,\operatorname{th}q`	$\operatorname{sh}o\,\operatorname{ch}p\,\operatorname{th}q$
`\operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t`	$\operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t$
`\lim u \limsup v \liminf w \min x \max y`	$\lim u \limsup v \liminf w \min x \max y$
`\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g`	$\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g$
`\deg h \gcd i \Pr j \det k \hom l \arg m \dim n`	$\deg h \gcd i \Pr j \det k \hom l \arg m \dim n$

[править] Modular arithmetic

`s_k \equiv 0 \pmod{m}`	$s_k \equiv 0 \pmod{m}\,$
`a\,\bmod\,b`	$a\,\bmod\,b\,$

[править] Производные

`\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}`	$\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}$

[править] Установка

`\forall \exists \empty \emptyset \varnothing`	$\forall \exists \empty \emptyset \varnothing\,$
`\in \ni \not \in \notin \subset \subseteq \supset \supseteq`	$\in \ni \not \in \notin \subset \subseteq \supset \supseteq\,$
`\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus`	$\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus\,$
`\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup`	$\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup\,$

[править] Операторы

`+ \oplus \bigoplus \pm \mp -`	$+ \oplus \bigoplus \pm \mp - \,$
`\times \otimes \bigotimes \cdot \circ \bullet \bigodot`	$\times \otimes \bigotimes \cdot \circ \bullet \bigodot\,$
`\star * / \div \frac{1}{2}`	$\star * / \div \frac{1}{2}\,$

[править] Логические

`\land (or \and) \wedge \bigwedge \bar{q} \to p`	$\land \wedge \bigwedge \bar{q} \to p\,$
`\lor \vee \bigvee \lnot \neg q \And`	$\lor \vee \bigvee \lnot \neg q \And\,$

[править] Корни

`\sqrt{2} \sqrt[n]{x}`	$\sqrt{2} \sqrt[n]{x}\,$

[править] Отношения

`\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}`	$\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}\,$
`< \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto`	$< \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto\,$
`\lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox`	$\lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox$

[править] Геометрические

`\Diamond \Box \triangle \angle \perp \mid \nmid \\| 45^\circ`	$\Diamond \, \Box \, \triangle \, \angle \perp \, \mid \; \nmid \, \\| 45^\circ\,$

[править] Стрелки

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

[править] Специальные

`\And \eth \S \P \% \dagger \ddagger \ldots \cdots`	$\And \eth \S \P \% \dagger \ddagger \ldots \cdots\,$
`\smile \frown \wr \triangleleft \triangleright \infty \bot \top`	$\smile \frown \wr \triangleleft \triangleright \infty \bot \top\,$
`\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar`	$\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar\,$
`\ell \mho \Finv \Re \Im \wp \complement`	$\ell \mho \Finv \Re \Im \wp \complement\,$
`\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp`	$\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp\,$

[править] Не отсортированное

[править] Выражения

[править] Индексы, интегралы

Feature	Syntax	How it looks rendered
Feature	Syntax	HTML	PNG
Superscript	`a^2`	$a^2$	$a^2 \,$
Subscript	`a_2`	$a_2$	$a_2 \,$
Grouping	`a^{2+2}`	$a^{2+2}$	$a^{2+2}\,$
Grouping	`a_{i,j}`	$a_{i,j}$	$a_{i,j}\,$
Combining sub & super without and with horizontal separation	`x_2^3`	$x_2^3$	$x_2^3 \,$
	`{x_2}^3`	${x_2}^3$	${x_2}^3 \,$
Super super	`10^{10^{ \,\!{8} }`	$10^{10^{ \,\! 8 } }$
Super super	`10^{10^{ \overset{8}{} }}`	$10^{10^{ \overset{8}{} }}$
Super super (wrong in HTML in some browsers)	`10^{10^8}`	$10^{10^8}$
Preceding and/or Additional sub & super	`_nP_k`	$_nP_k$	$_nP_k \,$
	`\sideset{_1^2}{_3^4}\prod_a^b`	$\sideset{_1^2}{_3^4}\prod_a^b$
	`{}_1^2\!\Omega_3^4`	${}_1^2\!\Omega_3^4$
Stacking	`\overset{\alpha}{\omega}`	$\overset{\alpha}{\omega}$
	`\underset{\alpha}{\omega}`	$\underset{\alpha}{\omega}$
	`\overset{\alpha}{\underset{\gamma}{\omega}}`	$\overset{\alpha}{\underset{\gamma}{\omega}}$
	`\stackrel{\alpha}{\omega}`	$\stackrel{\alpha}{\omega}$
Derivative (forced PNG)	`x', y'', f', f''`		$x', y'', f', f''$
Derivative (f in italics may overlap primes in HTML)	`x', y'', f', f''`	$x', y'', f', f''$	$x', y'', f', f''$
Derivative (wrong in HTML)	`x^\prime, y^{\prime\prime}`	$x^\prime, y^{\prime\prime}$	$x^\prime, y^{\prime\prime}\,$
Derivative (wrong in PNG)	`x\prime, y\prime\prime`	$x\prime, y\prime\prime$	$x\prime, y\prime\prime\,$
Derivative dots	`\dot{x}, \ddot{x}`	$\dot{x}, \ddot{x}$
Underlines, overlines, vectors	`\hat a \ \bar b \ \vec c`	$\hat a \ \bar b \ \vec c$
	`\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}`	$\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}$
	`\overline{g h i} \ \underline{j k l}`	$\overline{g h i} \ \underline{j k l}$
	`\not 1 \ \cancel{123}`	$\not 1 \ \cancel{123}$
Arrows	`A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C`	$A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C$
Overbraces	`\overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050}`	$\overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050}$
Underbraces	`\underbrace{ a+b+\cdots+z }_{26\text{ terms}}`	$\underbrace{ a+b+\cdots+z }_{26\text{ terms}}$
Sum	`\sum_{k=1}^N k^2`	$\sum_{k=1}^N k^2$
Sum (force `\textstyle`)	`\textstyle \sum_{k=1}^N k^2`	$\textstyle \sum_{k=1}^N k^2$
Product	`\prod_{i=1}^N x_i`	$\prod_{i=1}^N x_i$
Product (force `\textstyle`)	`\textstyle \prod_{i=1}^N x_i`	$\textstyle \prod_{i=1}^N x_i$
Coproduct	`\coprod_{i=1}^N x_i`	$\coprod_{i=1}^N x_i$
Coproduct (force `\textstyle`)	`\textstyle \coprod_{i=1}^N x_i`	$\textstyle \coprod_{i=1}^N x_i$
Limit	`\lim_{n \to \infty}x_n`	$\lim_{n \to \infty}x_n$
Limit (force `\textstyle`)	`\textstyle \lim_{n \to \infty}x_n`	$\textstyle \lim_{n \to \infty}x_n$
Integral	`\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx`	$\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx$
Integral (alternate limits style)	`\int_{1}^{3}\frac{e^3/x}{x^2}\, dx`	$\int_{1}^{3}\frac{e^3/x}{x^2}\, dx$
Integral (force `\textstyle`)	`\textstyle \int\limits_{-N}^{N} e^x\, dx`	$\textstyle \int\limits_{-N}^{N} e^x\, dx$
Integral (force `\textstyle`, alternate limits style)	`\textstyle \int_{-N}^{N} e^x\, dx`	$\textstyle \int_{-N}^{N} e^x\, dx$
Double integral	`\iint\limits_D \, dx\,dy`	$\iint\limits_D \, dx\,dy$
Triple integral	`\iiint\limits_E \, dx\,dy\,dz`	$\iiint\limits_E \, dx\,dy\,dz$
Quadruple integral	`\iiiint\limits_F \, dx\,dy\,dz\,dt`	$\iiiint\limits_F \, dx\,dy\,dz\,dt$
Line or path integral	`\int_C x^3\, dx + 4y^2\, dy`	$\int_C x^3\, dx + 4y^2\, dy$
Closed line or path integral	`\oint_C x^3\, dx + 4y^2\, dy`	$\oint_C x^3\, dx + 4y^2\, dy$
Intersections	`\bigcap_1^n p`	$\bigcap_1^n p$
Unions	`\bigcup_1^k p`	$\bigcup_1^k p$

[править] Фракции, матрицы, модули...

[править] Скобки больших выражений...

Feature	Syntax	How it looks rendered
Bad	`( \frac{1}{2} )`	$( \frac{1}{2} )$
Good	`\left ( \frac{1}{2} \right )`	$\left ( \frac{1}{2} \right )$

Вы можете использовать различные разделители с \left и \right:

[править] Алфавиты и шрифты

Feature	Syntax	How it looks rendered
non-italicised characters	`\mbox{abc}`	$\mbox{abc}$	$\mbox{abc} \,$
mixed italics (bad)	`\mbox{if} n \mbox{is even}`	$\mbox{if} n \mbox{is even}$	$\mbox{if} n \mbox{is even} \,$
mixed italics (good)	`\mbox{if }n\mbox{ is even}`	$\mbox{if }n\mbox{ is even}$	$\mbox{if }n\mbox{ is even} \,$
mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space)	`\mbox{if}~n\ \mbox{is even}`	$\mbox{if}~n\ \mbox{is even}$	$\mbox{if}~n\ \mbox{is even} \,$

[править] Цвет

В формулах можно использовать цветной текст:

{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
${\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}$

x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
$x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}$

Кроме того, можно изменить цвет фона, как в следующем примере:

Background	Wikicode	Rendering (in PNG)
White	`e^{i \pi} + 1 = 0`	$e^{i \pi} + 1 = 0\,$
White	`\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0`	$\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,$ </span>
Orange	`e^{i \pi} + 1 = 0`	$e^{i \pi} + 1 = 0\,$
Orange	`\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0`	$\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,$

[править] Форматирование

[править] Расстояние

Note that Шаблон:TeX handles most spacing automatically, but you may sometimes want manual control.

Feature	Syntax	How it looks rendered
double quad space	`a \qquad b`	$a \qquad b$
quad space	`a \quad b`	$a \quad b$
text space	`a\ b`	$a\ b$
text space without PNG conversion	`a \mbox{ } b`	$a \mbox{ } b$
large space	`a\;b`	$a\;b$
medium space	`a\>b`	[not supported]
small space	`a\,b`	$a\,b$
no space	`ab`	$ab\,$
small negative space	`a\!b`	$a\!b$

Автоматический интервал может быть нарушен в очень длинных выражениях (потому что они производят переполненный горизонтальный бокс в ТеХ):

<math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math>

$0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots$

Это можно исправить, поставив пару фигурных скобок {} по всему выражению:

<math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math>

${0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}$

[править] Примеры

[править] Quadratic Polynomial



<math>ax^2 + bx + c = 0</math>

[править] Quadratic Polynomial (Force PNG Rendering)



<math>ax^2 + bx + c = 0\,</math>

[править] Quadratic Formula



<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

[править] Tall Parentheses and Fractions



<math>2 = \left(
 \frac{\left(3-x\right) \times 2}{3-x}
 \right)</math>



 <math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>

[править] Integrals



<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy</math>

[править] Summation



<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 {3^m\left(m\,3^n+n\,3^m\right)}</math>

[править] Differential Equation



<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

[править] Complex numbers



<math>|\bar{z}| = |z|,
 |(\bar{z})^n| = |z|^n,
 \arg(z^n) = n \arg(z)</math>

[править] Limits



<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

[править] Integral Equation



<math>\phi_n(\kappa) =
 \frac{1}{4\pi^2\kappa^2} \int_0^\infty
 \frac{\sin(\kappa R)}{\kappa R}
 \frac{\partial}{\partial R}
 \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>

[править] Example



<math>\phi_n(\kappa) = 
 0.033C_n^2\kappa^{-11/3},\quad
 \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>

[править] Continuation and cases



<math>
 f(x) =
 \begin{cases}
 1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\
 1 - x^2 & \mbox{otherwise}
 \end{cases}
 </math>

[править] Prefixed subscript



 <math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 = \sum_{n=0}^\infty
 \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
 \frac{z^n}{n!}</math>

[править] Fraction and small fraction

   
<math> \frac {a}{b}\  \tfrac {a}{b} </math>

Источник

@@ Строка 14: / Строка 14: @@
-=== Специальные символы ===
+== Специальные символы ==
 <code><nowiki><math>\# \$ \% \_ \{ \}</math></nowiki></code> дает <math>\# \$ \% \_ \{ \}</math>
@@ Строка 55: / Строка 55: @@
 />ℵ - – —
 |}
 == Функции, символы, специальные символы ==

`\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown`	$\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown$
`\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge`	$\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge$
`\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes`	$\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes$
`\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant`	$\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant$
`\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq`	$\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq$
`\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft`	$\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft$
`\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot`	$\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot$
`\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq`	$\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq$
`\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork`	$\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork$
`\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq`	$\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq$
`\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid`	$\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid$
`\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr`	$\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr$
`\subsetneq`	$\subsetneq$
`\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq`	$\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq$
`\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq`	$\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq$
`\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq`	$\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq$
`\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus`	$\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus\,$
`\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq`	$\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq\,$
`\dashv \asymp \doteq \parallel`	$\dashv \asymp \doteq \parallel\,$
`\ulcorner \urcorner \llcorner \lrcorner`	$\ulcorner \urcorner \llcorner \lrcorner$

Feature	Syntax	How it looks rendered
Fractions	`\frac{1}{2}=0.5`	$\frac{1}{2}=0.5$
Small ("text style") fractions	`\tfrac{1}{2} = 0.5`	$\tfrac{1}{2} = 0.5$
Large ("display style") fractions	`\dfrac{k}{k-1} = 0.5`	$\dfrac{k}{k-1} = 0.5$
Mixture of large and small fractions	`\dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n`	$\dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n$
Continued fractions (note the difference in formatting)	\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a	$\cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a$
Binomial coefficients	`\binom{n}{k}`	$\binom{n}{k}$
Small ("text style") binomial coefficients	`\tbinom{n}{k}`	$\tbinom{n}{k}$
Large ("display style") binomial coefficients	`\dbinom{n}{k}`	$\dbinom{n}{k}$
Matrices	\begin{matrix} x & y \\ z & v \end{matrix}	$\begin{matrix} x & y \\ z & v \end{matrix}$
	\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{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{pmatrix} x & y \\ z & v \end{pmatrix}	$\begin{pmatrix} x & y \\ z & v \end{pmatrix}$
	\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)	$\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)$
Arrays	\begin{array}{\|c\|c\|\|c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}	$\begin{array}{\|c\|c\|\|c\|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}$
Cases	f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}	$f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}$
System of equations	\begin{cases} 3x + 5y + z &= 1 \\ 7x - 2y + 4z &= 2 \\ -6x + 3y + 2z &= 3 \end{cases}	$\begin{cases} 3x + 5y + z &= 1 \\ 7x - 2y + 4z &= 2 \\ -6x + 3y + 2z &= 3 \end{cases}$
Breaking up a long expression so it wraps when necessary	<math>f(x) = \sum_{n=0}^\infty a_n x^n</math> <math>= a_0 + a_1x + a_2x^2 + \cdots</math>	$f(x) = \sum_{n=0}^\infty a_n x^n$ $= a_0 + a_1x + a_2x^2 + \cdots$
Multiline equations	\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align}	$\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align}$
Multiline equations	\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}	$\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}$
Multiline equations with aligment specified (left, center, right)	\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}$
	\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}$

Feature	Syntax	How it looks rendered
Parentheses	`\left ( \frac{a}{b} \right )`	$\left ( \frac{a}{b} \right )$
Brackets	`\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack`	$\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack$
Braces (note the backslash before the braces in the code)	`\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace`	$\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace$
Angle brackets	`\left \langle \frac{a}{b} \right \rangle`	$\left \langle \frac{a}{b} \right \rangle$
Bars and double bars (note: "bars" provide the absolute value function)	`\left \| \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \\|`	$\left \| \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \\|$
Floor and ceiling functions:	`\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil`	$\left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil$
Slashes and backslashes	`\left / \frac{a}{b} \right \backslash`	$\left / \frac{a}{b} \right \backslash$
Up, down and up-down arrows	`\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow`	$\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow$
Delimiters can be mixed, as long as `\left` and `\right` are both used	`\left [ 0,1 \right )` `\left \langle \psi \right \|`	$\left [ 0,1 \right )$ $\left \langle \psi \right \|$
Use `\left.` or `\right.` if you don't want a delimiter to appear:	`\left . \frac{A}{B} \right \} \to X`	$\left . \frac{A}{B} \right \} \to X$
Size of the delimiters	`\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]<code>`	$\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]$
	<code>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle	$\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle$
	`\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg\\| \bigg\\| \Big\\| \big\\|`	$\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg\\| \bigg\\| \Big\\| \big\\|$
	`\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil`	$\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil$
	`\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow`	$\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow$
	`\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow`	$\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow$
	`\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash`	$\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash$

Greek alphabet
`\Alpha \Beta \Gamma \Delta \Epsilon \Zeta`	$\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \,$
`\Eta \Theta \Iota \Kappa \Lambda \Mu`	$\Eta \Theta \Iota \Kappa \Lambda \Mu \,$
`\Nu \Xi \Omicron \Pi \Rho \Sigma \Tau`	$\Nu \Xi \Omicron \Pi \Rho \Sigma \Tau\,$
`\Upsilon \Phi \Chi \Psi \Omega`	$\Upsilon \Phi \Chi \Psi \Omega \,$
`\alpha \beta \gamma \delta \epsilon \zeta`	$\alpha \beta \gamma \delta \epsilon \zeta \,$
`\eta \theta \iota \kappa \lambda \mu`	$\eta \theta \iota \kappa \lambda \mu \,$
`\nu \xi \omicron \pi \rho \sigma \tau`	$\nu \xi \pi \omicron \rho \sigma \tau \,$
`\upsilon \phi \chi \psi \omega`	$\upsilon \phi \chi \psi \omega \,$
`\varepsilon \digamma \vartheta \varkappa`	$\varepsilon \digamma \vartheta \varkappa \,$
`\varpi \varrho \varsigma \varphi`	$\varpi \varrho \varsigma \varphi\,$
Blackboard Bold/Scripts
`\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}`	$\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \,$
`\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}`	$\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M} \,$
`\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}`	$\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T} \,$
`\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}`	$\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}\,$
`\C \N \Q \R \Z`	$\C \N \Q \R \Z$
boldface (vectors)
`\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}`	$\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \,$
`\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}`	$\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M} \,$
`\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}`	$\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T} \,$
`\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}`	$\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z} \,$
`\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}`	$\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g} \,$
`\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}`	$\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m} \,$
`\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}`	$\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t} \,$
`\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}`	$\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \,$
`\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}`	$\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \,$
`\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}`	$\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}\,$
Boldface (greek)
`\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}`	$\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \,$
`\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}`	$\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}\,$
`\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}`	$\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}\,$
`\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}`	$\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}\,$
`\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}`	$\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}\,$
`\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}`	$\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}\,$
`\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}`	$\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}\,$
`\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}`	$\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}\,$
`\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}`	$\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \,$
`\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}`	$\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}\,$
Italics
`\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}`	$\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \,$
`\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M}`	$\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M} \,$
`\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T}`	$\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T} \,$
`\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z}`	$\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z} \,$
`\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g}`	$\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g} \,$
`\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m}`	$\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m} \,$
`\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t}`	$\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t} \,$
`\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z}`	$\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z} \,$
`\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4}`	$\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \,$
`\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}`	$\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}\,$
Roman typeface
`\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G}`	$\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G} \,$
`\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M}`	$\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M} \,$
`\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T}`	$\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T} \,$
`\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z}`	$\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z} \,$
`\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}`	$\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}\,$
`\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m}`	$\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m} \,$
`\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t}`	$\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t} \,$
`\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z}`	$\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z} \,$
`\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4}`	$\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \,$
`\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}`	$\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}\,$
Fraktur typeface
`\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G}`	$\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G} \,$
`\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M}`	$\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M} \,$
`\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T}`	$\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T} \,$
`\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z}`	$\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z} \,$
`\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g}`	$\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g} \,$
`\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m}`	$\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m} \,$
`\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t}`	$\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t} \,$
`\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z}`	$\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z} \,$
`\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4}`	$\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \,$
`\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}`	$\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}\,$
Calligraphy/Script
`\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G}`	$\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G} \,$
`\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M}`	$\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M} \,$
`\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T}`	$\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T} \,$
`\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}`	$\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}\,$
Hebrew
`\aleph \beth \gimel \daleth`	$\aleph \beth \gimel \daleth\,$