Testwiki:Formulalar

TeX hám HTML kodları ayırmashılıǵı

TeX sintaksisi	TeX kórinisi	HTML sintaksisi	HTML kórinisi
\alpha	$\alpha$	{{math|''α''}}	Úlgi:Math
f(x) = x^2	$f(x)=x^2$	{{math|''f''(''x'') {{=}} ''x''<sup>2</sup>}}	Úlgi:Math
<math>\{1,e,\pi\}</math>	$\{1,e,\pi \}$	{{math|{{mset|1, ''e'', ''&pi;''}}}}	Úlgi:Math
<math>|z + 1| \leq 2</math>	$|z+1|\le 2$	{{math|{{abs|''z'' + 1}} &le; 2}}	Úlgi:Math

Shep táreptegi kodlardı jazıw oń táreptegi simvollardı beredi, biraq oń táreptegi simvollardı tuwrıdan-tuwrı da wikitextke qoyıw múmkin.

HTML sintaksisi	HTML kórinisi
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	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	Γ Δ Θ Λ Ξ Π Σ Φ Ψ Ω
∫ ∑ ∏ √ − ± ∞ ≈ ∝ = ≡ ≠ ≤ ≥ × · ⋅ ÷ ∂ ′ ″ ∇ ‰ ° ∴ ∅	∫ ∑ ∏ √ − ± ∞ ≈ ∝ = ≡ ≠ ≤ ≥ × · ⋅ ÷ ∂ ′ ″ ∇ ‰ ° ∴ ∅
∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇ ¬ ∧ ∨ ∃ ∀ ⇒ ⇔ → ↔ ↑ ↓ ℵ - – —	∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇ ¬ ∧ ∨ ∃ ∀ ⇒ ⇔ → ↔ ↑ ↓ ℵ - – —

TeX járdeminde formatlaw

Tómendegi kestelerde shep baǵanalarda arnawlı TeX sintaksisi, oń táreptegi baǵanalarda kórinetuǵın mánisi kórsetilgen. Onıń islewi ushın shep táreptegi arnawlı TeX sintaksisinen aldın <math>, al sintaksisten keyin </math> qoyılıwı kerek. Mısalı: <math> \dot{a} </math> ===> $\dot{a}$

Funkciyalar, simvollar, arnawlı tańbalar

Accents and diacritics
\dot{a}, \ddot{a}, \acute{a}, \grave{a}	$\dot{a},\ddot{a},\acute{a},\stackrel{`}{a}$
\check{a}, \breve{a}, \tilde{a}, \bar{a}	$\check{a},\breve{a},\tilde{a},\overline{a}$
\hat{a}, \widehat{a}, \vec{a}	$\hat{a},\hat{a},\overrightarrow{a}$
Standard numerical functions
\exp_a b = a^b, \exp b = e^b, 10^m	${\exp }_{a}b=a^b,\exp b=e^b,10^m$
\ln c = \log c, \lg d = \log_{10} d	$\ln c=\log c,\lg d={\log }_{10}d$
\sin a, \cos b, \tan c, \cot d, \sec f, \csc g	$\sin a,\cos b,\tan c,\cot d,\sec f,\csc g$
\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	$\mathrm{sh}k,\mathrm{ch}l,\mathrm{th}m,\coth n$
\operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q	$\mathrm{argsh}o,\mathrm{argch}p,\mathrm{argth}q$
\sgn r, \left\vert s \right\vert	$\mathrm{sgn}r,\left|s\right|$
\min(x,y), \max(x,y)	$\min (x,y),\max (x,y)$
Bounds
\min x, \max y, \inf s, \sup t	$\min x,\max y,\inf s,\sup t$
\lim u, \liminf v, \limsup w	$\lim u,\mathrm{lim\; inf}v,\mathrm{lim\; sup}w$
\dim p, \deg q, \det m, \ker\phi	$\dim p,\mathrm{deg}q,\det m,\ker \varphi$
Projections
\Pr j, \hom l, \lVert z \rVert, \arg z	$\mathrm{Pr}j,\mathrm{hom}l,\Vert z\Vert ,\arg z$
Differentials and derivatives
dt, \mathrm{d}t, \partial t, \nabla\psi	$dt,\mathrm{d}t,\partial t,\mathrm{\nabla }\psi$
dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}	$dy/dx,\mathrm{d}y/\mathrm{d}x,\frac{dy}{dx},\frac{\mathrm{d}y}{\mathrm{d}x}$
\frac{\partial^2}{\partial x_1\partial x_2}y, \left.\frac{\partial^3 f}{\partial^2 x \partial y}\right\vert_{p_0}	$\frac{{\partial }^2}{\partial x_1\partial x_2}y,{\frac{{\partial }^{3}f}{{\partial }^{2}x\partial y}|}_{p_0}$
\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y	$\prime ,‵,f^{\prime },f^{\prime },f^{″},f^{(3)},\dot{y},\ddot{y}$
Letter-like symbols or constants
\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar, \N, \R, \Z, \C, \Q	$\mathrm{\infty },\mathrm{\aleph },\complement ,∍,\mathrm{ð},Ⅎ,\hslash ,\mathbb{N},ℝ,\mathbb{Z},ℂ,\mathbb{Q}$
\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS, \S, \P, \AA	$\mathrm{\Im },ı,ȷ,𝕜,\ell ,\mho ,\mathrm{\wp },\mathrm{\Re },\mathrm{Ⓢ},\mathrm{\S },\P ,\AA$
Modular arithmetic
s_k \equiv 0 \pmod{m}	$s_k\equiv 0(\mathrm{mod}m)$
a \bmod b	$amodb$
\gcd(m, n), \operatorname{lcm}(m, n)	$\gcd (m,n),\mathrm{lcm}(m,n)$
\mid, \nmid, \shortmid, \nshortmid	$\mid ,\nmid ,\mid ,\nmid$
Radicals
\surd, \sqrt{2}, \sqrt[n]{2}, \sqrt[3]{\frac{x^3+y^3}{2}}	$\surd ,\sqrt{2},\sqrt[n]{2},\sqrt[3]{\frac{x^3+y^3}{2}}$
Operators
+, -, \pm, \mp, \dotplus	$+,-,\pm ,\mp ,\dotplus$
\times, \div, \divideontimes, /, \backslash	$\times ,÷,\divideontimes ,/,\mathrm{\setminus }$
\cdot, * \ast, \star, \circ, \bullet	$\cdot ,\ast \ast ,\star ,\circ ,\bullet$
\boxplus, \boxminus, \boxtimes, \boxdot	$⊞,\boxminus ,⊠,⊡$
\oplus, \ominus, \otimes, \oslash, \odot	$\oplus ,\ominus ,\otimes ,\oslash ,\odot$
\circleddash, \circledcirc, \circledast	$⊝,⊚,⊛$
\bigoplus, \bigotimes, \bigodot	$⨁,⨂,⨀$
Sets
\{ \}, \O \empty \emptyset, \varnothing	$\{\},\mathrm{\varnothing }\mathrm{\varnothing }\mathrm{\varnothing },\varnothing$
\in, \notin \not\in, \ni, \not\ni	$\in ,\notin \in ̸,\ni ,\ni ̸$
\cap, \Cap, \sqcap, \bigcap	$\cap ,⋒,\sqcap ,\bigcap$
\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus	$\cup ,⋓,\bigsqcup ,\bigcup ,⨆,\uplus ,⨄$
\setminus, \smallsetminus, \times	$\setminus ,\setminus ,\times$
\subset, \Subset, \sqsubset	$\subset ,⋐,⊏$
\supset, \Supset, \sqsupset	$\supset ,⋑,⊐$
\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq	$\subseteq ,⊈,⊊,⊊,⊑$
\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq	$\supseteq ,⊉,⊋,⊋,⊒$
\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq	$⫅,⊈,⫋,⫋$
\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq	$⫆,⊉,⫌,⫌$
Relations
=, \ne, \neq, \equiv, \not\equiv	$=,\ne ,\ne ,\equiv ,\equiv ̸$
\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=	$\doteq ,\doteqdot ,\stackrel{\mathrm{d}\mathrm{e}\mathrm{f}}{=},:=$
\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong	$\sim ,\nsim ,\backsim ,\sim ,\simeq ,\backsimeq ,\eqsim ,\cong ,≆$
\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto	$\approx ,\approx ,\approxeq ,\asymp ,\propto ,\propto$
<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot	$<,\nless ,\ll ,\ll ̸,⋘,⋘̸,⋖$
>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot	$>,\ngtr ,\gg ,\gg ̸,⋙,⋙̸,⋗$
\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq	$\le ,\le ,⪇,\leqq ,\nleqq ,\nleqq ,\lneqq ,\lneqq$
\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq	$\ge ,\ge ,⪈,\geqq ,\ngeqq ,\ngeqq ,\gneqq ,\gneqq$
\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless	$\lessgtr ,⋚,⪋,\gtrless ,⋛,⪌$
\leqslant, \nleqslant, \eqslantless	$⩽,⪇,⪕$
\geqslant, \ngeqslant, \eqslantgtr	$⩾,⪈,⪖$
\lesssim, \lnsim, \lessapprox, \lnapprox	$\lesssim ,⋦,⪅,⪉$
\gtrsim, \gnsim, \gtrapprox, \gnapprox	$\gtrsim ,⋧,⪆,⪊$
\prec, \nprec, \preceq, \npreceq, \precneqq	$\prec ,\nprec ,⪯,⋠,⪵$
\succ, \nsucc, \succeq, \nsucceq, \succneqq	$\succ ,\nsucc ,⪰,⋡,⪶$
\preccurlyeq, \curlyeqprec	$\preccurlyeq ,⋞$
\succcurlyeq, \curlyeqsucc	$\succcurlyeq ,⋟$
\precsim, \precnsim, \precapprox, \precnapprox	$\precsim ,⋨,⪷,⪹$
\succsim, \succnsim, \succapprox, \succnapprox	$\succsim ,⋩,⪸,⪺$
Geometric
\parallel, \nparallel, \shortparallel, \nshortparallel	$\parallel ,\nparallel ,\parallel ,\nparallel$
\perp, \angle, \sphericalangle, \measuredangle, 45^\circ	$\perp ,\mathrm{\angle },\sphericalangle ,\measuredangle ,45^{\circ }$
\Box, \square, \blacksquare, \diamond, \Diamond, \lozenge, \blacklozenge, \bigstar	$◻,◻,◼,\diamond ,◊,◊,⧫,★$
\bigcirc, \triangle, \bigtriangleup, \bigtriangledown	$◯,\mathrm{△},△,▽$
\vartriangle, \triangledown	$△,▽$
\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright	$▴,▾,◂,▸$
Logic
\forall, \exists, \nexists	$\mathrm{\forall },\mathrm{\exists },\nexists$
\therefore, \because, \And	$\therefore ,\because ,\mathrm{\&}$
\lor \vee, \curlyvee, \bigvee don't use \or which is now deprecated	$\vee ,\vee ,⋎,\bigvee$
\land \wedge, \curlywedge, \bigwedge don't use \and which is now deprecated	$\wedge ,\wedge ,⋏,\bigwedge$
\bar{q}, \bar{abc}, \overline{q}, \overline{abc}, \lnot \neg, \not\operatorname{R}, \bot, \top	$\overline{q},\overline{abc},\bar{q},\overline{abc},$ $\mathrm{\neg }\mathrm{\neg },\text{⧸}\mathrm{R},\mathrm{\perp },\mathrm{\top }$
\vdash \dashv, \vDash, \Vdash, \models	$⊢,⊣,\models ,⊩,\models$
\Vvdash \nvdash \nVdash \nvDash \nVDash	$\Vvdash ,⊬,⊮,⊭,⊯$
\ulcorner \urcorner \llcorner \lrcorner	$⌜⌝⌞⌟$
Arrows
\Rrightarrow, \Lleftarrow	$\Rrightarrow ,\Lleftarrow$
\Rightarrow, \nRightarrow, \Longrightarrow, \implies	$\Rightarrow ,\nRightarrow ,⟹,⟹$
\Leftarrow, \nLeftarrow, \Longleftarrow	$\Leftarrow ,\nLeftarrow ,⟸$
\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow, \iff	$\iff ,\nLeftrightarrow ,⟺,⟺$
\Uparrow, \Downarrow, \Updownarrow	$\Uparrow ,\Downarrow ,\Updownarrow$
\rightarrow, \to, \nrightarrow, \longrightarrow	$\to ,\to ,\nrightarrow ,⟶$
\leftarrow, \gets, \nleftarrow, \longleftarrow	$\leftarrow ,\leftarrow ,\nleftarrow ,⟵$
\leftrightarrow, \nleftrightarrow, \longleftrightarrow	$\leftrightarrow ,\nleftrightarrow ,⟷$
\uparrow, \downarrow, \updownarrow	$\uparrow ,\downarrow ,\updownarrow$
\nearrow, \swarrow, \nwarrow, \searrow	$\nearrow ,\swarrow ,\nwarrow ,\searrow$
\mapsto, \longmapsto	$\mapsto ,⟼$
\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	$\hookrightarrow ,\hookleftarrow ,⊸,\leftrightsquigarrow ,⇝,\twoheadrightarrow ,\twoheadleftarrow$
Special
\amalg \P \S \% \dagger \ddagger \ldots \cdots \vdots \ddots	$⨿\P \mathrm{\S }\mathrm{\%}†‡\dots \cdots ⋮\ddots$
\smile \frown \wr \triangleleft \triangleright	$⌣⌢\wr ◃▹$
\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp	$\mathrm{♢},\mathrm{♡},\mathrm{♣},\mathrm{♠},⅁,\mathrm{♭},\mathrm{♮},\mathrm{♯}$
Unsorted (new stuff)
\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes	$╱,╲,\cdot ,⋉,⋊,⋋,⋌$
\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq	$\eqcirc ,\circeq ,\triangleq ,\bumpeq ,\Bumpeq ,\doteqdot ,\risingdotseq ,\fallingdotseq$
\intercal \barwedge \veebar \doublebarwedge \between \pitchfork	$⊺,⊼,⊻,⩞,\between ,⋔$
\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright	$⊲,⋪,⊳,⋫$
\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq	$⊴,⋬,⊵,⋭$

Quramalı ańlatpalar

Tómengi indeksler, joqarǵı indeksler, integrallar

Funkciya	Sintaksis	Nátiyje kórinisi
Superscript	a^2, a^{x+3}	$a^2,a^{x+3}$
Subscript	a_2	$a_2$
Grouping	10^{30} a^{2+2}	$10^{30}{a}^{2+2}$
	a_{i,j} b_{f'}	$a_{i,j}{b}_{f^{\prime }}$
Combining sub & super without and with horizontal separation	x_2^3	$x_2^3$
	{x_2}^3	${x_2}^3$
Super super	10^{10^{8}}	$10^{10^8}$
Preceding and/or additional sub & super	\sideset{_1^2}{_3^4}\prod_a^b	$\underset{a}{\overset{b}{{}_1{}^2\prod _3^4}}$
	{}_1^2\!\Omega_3^4	${}_1^2{\Omega }_3^4$
Stacking	\overset{\alpha}{\omega}	$\stackrel{\alpha }{\omega }$
	\underset{\alpha}{\omega}	$\underset{\alpha }{\omega }$
	\overset{\alpha}{\underset{\gamma}{\omega}}	$\stackrel{\alpha }{\underset{\gamma }{\omega }}$
	\stackrel{\alpha}{\omega}	$\stackrel{\alpha }{\omega }$
Derivatives	x', y'', f', f''	$x^{\prime },y^{″},f^{\prime },f^{″}$
	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	$\hat{a}\overline{b}\overrightarrow{c}$
	\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}	$\overrightarrow{ab}\overleftarrow{cd}\widehat{def}$
	\overline{g h i} \ \underline{j k l}	$\overline{ghi}\underset{\_}{jkl}$
Arc (workaround)	\overset{\frown} {AB}	$\stackrel{⌢}{AB}$
Arrows	A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C	$A\stackrel{n+\mu -1}{\leftarrow }B\underset{T}{\overset{n\pm i-1}{\to }}C$
Overbraces	\overbrace{ 1+2+\cdots+100 }^{5050}	$\stackrel{5050}{\overbrace{1+2+\cdots +100}}$
Underbraces	\underbrace{ a+b+\cdots+z }_{26}	$\underset{26}{\underbrace{a+b+\cdots +z}}$
Sum	\sum_{k=1}^N k^2	$\sum _{k=1}^N{k}^2$
Sum (force \textstyle)	\textstyle \sum_{k=1}^N k^2	${\sum }_{k=1}^N{k}^2$
Sum in a fraction (default \textstyle)	\frac{\sum_{k=1}^N k^2}{a}	$\frac{\sum _{k=1}^N{k}^2}{a}$
Sum in a fraction (force \displaystyle)	\frac{\displaystyle \sum_{k=1}^N k^2}{a}	$\frac{\sum _{k=1}^N{k}^2}{a}$
Sum in a fraction (alternative limits style)	\frac{\sum\limits^{^N}_{k=1} k^2}{a}	$\frac{\sum _{k=1}^{{}^N}{k}^2}{a}$
Product	\prod_{i=1}^N x_i	$\prod _{i=1}^N{x}_i$
Product (force \textstyle)	\textstyle \prod_{i=1}^N x_i	${\prod }_{i=1}^N{x}_i$
Coproduct	\coprod_{i=1}^N x_i	$\coprod _{i=1}^N{x}_i$
Coproduct (force \textstyle)	\textstyle \coprod_{i=1}^N x_i	${\coprod }_{i=1}^N{x}_i$
Limit	\lim_{n \to \infty}x_n	$\underset{n\to \mathrm{\infty }}{\lim }{x}_n$
Limit (force \textstyle)	\textstyle \lim_{n \to \infty}x_n	$\underset{n\to \mathrm{\infty }}{\lim }{x}_n$
Integral	\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx	$\underset{1}{\overset{3}{\int }}\frac{e^3/x}{x^2}dx$
Integral (alternative 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	$\underset{-N}{\overset{N}{\int }}{e}^{x}dx$
Integral (force \textstyle, alternative limits style)	\textstyle \int_{-N}^{N} e^x dx	${\int }_{-N}^N{e}^{x}dx$
Double integral	\iint\limits_D dx\,dy	$\underset{D}{\iint }dxdy$
Triple integral	\iiint\limits_E dx\,dy\,dz	$\underset{E}{\iiint }dxdydz$
Quadruple integral	\iiiint\limits_F dx\,dy\,dz\,dt	$\underset{F}{⨌}dxdydzdt$
Line or path integral	\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy	${\int }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$
Closed line or path integral	\oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy	${\oint }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$
Intersections	\bigcap_{i=1}^n E_i	$\bigcap _{i=1}^n{E}_i$
Unions	\bigcup_{i=1}^n E_i	$\bigcup _{i=1}^n{E}_i$

Bólshekler, matricalar, multiliniyalar

Funkciya	Sintaksis	Nátiyje kórinisi
Fractions	\frac{2}{4}=0.5 or {2 \over 4}=0.5	$\frac{2}{4}=0.5$
Small fractions (force \textstyle)	\tfrac{2}{4} = 0.5	$\frac{2}{4}=0.5$
Large (normal) fractions (force \displaystyle)	\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a	$\frac{2}{4}=0.5\frac{2}{c+\frac{2}{d+\frac{2}{4}}}=a$
Large (nested) fractions	\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a	$\frac{2}{c+\frac{2}{d+\frac{2}{4}}}=a$
Cancellations in fractions	\cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2}	$\frac{x}{1+\frac{\cancel{y}}{\cancel{y}}}=\frac{x}{2}$
Binomial coefficients	\binom{n}{k}	$(\genfrac{}{}{0ex}{}{n}{k})$
Small binomial coefficients (force \textstyle)	\tbinom{n}{k}	$(\genfrac{}{}{0ex}{}{n}{k})$
Large (normal) binomial coefficients (force \displaystyle)	\dbinom{n}{k}	$(\genfrac{}{}{0ex}{}{n}{k})$
Matrices	\begin{matrix} x & y \\ z & v \end{matrix}	$\begin{array}{cc}x& y\\ z& v\end{array}$
	\begin{vmatrix} x & y \\ z & v \end{vmatrix}	$\left|\begin{array}{cc}x& y\\ z& v\end{array}\right|$
	\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}	$\Vert \begin{array}{cc}x& y\\ z& v\end{array}\Vert$
	\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix}	$\left[\begin{array}{ccc}0& \cdots & 0\\ ⋮& \ddots & ⋮\\ 0& \cdots & 0\end{array}\right]$
	\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}	$\left\{\begin{array}{cc}x& y\\ z& v\end{array}\right\}$
	\begin{pmatrix} x & y \\ z & v \end{pmatrix}	$\left(\begin{array}{cc}x& y\\ z& v\end{array}\right)$
	\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr)	$\left(\begin{array}{cc}a& b\\ c& d\end{array}\right)$
Case distinctions	f(n) = \begin{cases} n/2, & \text{if }n\text{ is even} \\ 3n+1, & \text{if }n\text{ is odd} \end{cases}	$f(n)=\{\begin{array}{cc}n/2,& \text{if }n\text{ is even}\\ 3n+1,& \text{if }n\text{ is odd}\end{array}$
Simultaneous equations	\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}	$\{\begin{array}{c}3x+5y+z\\ 7x-2y+4z\\ -6x+3y+2z\end{array}$
Multiline equations	\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align}	$\begin{array}{cc}f(x)& =(a+b{)}^2\\ & =a^2+2ab+b^2\\ \end{array}$
	\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat}	$\begin{array}{cc}f(x)& =(a-b{)}^2\\ & =a^2-2ab+b^2\\ \end{array}$
Multiline equations with multiple alignments per row	\begin{align} f(a,b) & = (a+b)^2 && = (a+b)(a+b) \\ & = a^2+ab+ba+b^2 && = a^2+2ab+b^2 \\ \end{align}	$\begin{array}{cccc}f(a,b)& =(a+b{)}^2& & =(a+b)(a+b)\\ & =a^2+ab+ba+b^2& & =a^2+2ab+b^2\\ \end{array}$
	\begin{alignat}{3} f(a,b) & = (a+b)^2 && = (a+b)(a+b) \\ & = a^2+ab+ba+b^2 && = a^2+2ab+b^2 \\ \end{alignat}	$\begin{array}{cccc}f(a,b)& =(a+b{)}^2& & =(a+b)(a+b)\\ & =a^2+ab+ba+b^2& & =a^2+2ab+b^2\\ \end{array}$
Multiline equations (must define number of columns used ({lcl})) (should not be used unless needed)	\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$\begin{array}{ccc}z& =& a\\ f(x,y,z)& =& x+y+z\end{array}$
Multiline equations (more)	\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$\begin{array}{ccc}z& =& a\\ f(x,y,z)& =& x+y+z\end{array}$
Multiline alignment using & to left align (top example) versus && to right align (bottom example) the last column	\begin{alignat}{4} F:\; && C(X) && \;\to\; & C(X) \\ && g && \;\mapsto\; & g^2 \end{alignat} \begin{alignat}{4} F:\; && C(X) && \;\to\; && C(X) \\ && g && \;\mapsto\; && g^2 \end{alignat}	$\begin{array}{cccccc}F:& & C(X)& & \to & C(X)\\ & & g& & \mapsto & g^2\end{array}$ $\begin{array}{ccccccc}F:& & C(X)& & \to & & C(X)\\ & & g& & \mapsto & & g^2\end{array}$
Breaking up a long expression so that it wraps when necessary, at the expense of destroying correct spacing	<math>f(x) \,\!</math> <math>= \sum_{n=0}^\infty a_n x^n </math> <math>= a_0+a_1x+a_2x^2+\cdots</math>	$f(x)$$=\sum _{n=0}^{\mathrm{\infty }}{a}_n{x}^n$$=a_0+a_{1}x+a_2{x}^2+\cdots$
Arrays	\begin{array}{|c|c|c|} a & b & S \\ \hline 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ \end{array}	$\begin{array}{ccc}a& b& S\\ 0& 0& 1\\ 0& 1& 1\\ 1& 0& 1\\ 1& 1& 0\end{array}$

Úlken ańlatpalar, qawıslar, barlardı qawısqa alıw

Funkciya	Sintaksis	Nátiyje kórinisi
Úlgi:CrossBad	( \frac{1}{2} )^n	$(\frac{1}{2}{)}^n$
GoodÚlgi:Tick	\left ( \frac{1}{2} \right )^n	${\left(\frac{1}{2}\right)}^n$

Siz \left hám \right buyrıqları kómeginde hár qıylı bóliwshilerden paydalanıwıńız múmkin:

Funkciya	Sintaksis	Nátiyje kórinisi
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	$\left[\frac{a}{b}\right]\left[\frac{a}{b}\right]$
Braces	\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace	$\left\{\frac{a}{b}\right\}\left\{\frac{a}{b}\right\}$
Angle brackets	\left \langle \frac{a}{b} \right \rangle	$⟨\frac{a}{b}⟩$
Bars and double bars	\left | \frac{a}{b} \right \vert \quad \left \Vert \frac{c}{d} \right \|	$\left|\frac{a}{b}\right|\Vert \frac{c}{d}\Vert$
Floor and ceiling functions:	\left \lfloor \frac{a}{b} \right \rfloor \quad \left \lceil \frac{c}{d} \right \rceil	$\lfloor \frac{a}{b}\rfloor \lceil \frac{c}{d}\rceil$
Slashes and backslashes	\left / \frac{a}{b} \right \backslash	$/\frac{a}{b}\backslash$
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	$\uparrow \frac{a}{b}\downarrow \Uparrow \frac{a}{b}\Downarrow \updownarrow \frac{a}{b}\Updownarrow$
Delimiters can be mixed, as long as \left and \right match	\left [ 0,1 \right ) \left \langle \psi \right |	$[0,1)$ $⟨\psi |$
Use \left. and \right. if you do not want a delimiter to appear	\left . \frac{A}{B} \right \} \to X	$\frac{A}{B}\}\to X$
Size of the delimiters (add "l" or "r" to indicate the side for proper spacing)	( \bigl( \Bigl( \biggl( \Biggl( \dots \Biggr] \biggr] \Bigr] \bigr] ]	$((\left(\right((\dots ]\left]\right]]]$
	\{ \bigl\{ \Bigl\{ \biggl\{ \Biggl\{ \dots \Biggr\rangle \biggr\rangle \Bigr\rangle \bigr\rangle \rangle	$\{\{\left\{\right\{\{\dots ⟩⟩⟩⟩⟩$
	\| \big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big| |	$\Vert \Vert \Vert \Vert \Vert \dots \left|\right|\left|\right||$
	\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \ceil	$\lfloor \lfloor \lfloor \lfloor \lfloor \dots \rceil \rceil \rceil \rceil \rceil$
	\uparrow \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow \Downarrow	$\uparrow \uparrow \uparrow \uparrow \uparrow \dots \Downarrow \Downarrow \Downarrow \Downarrow \Downarrow$
	\updownarrow \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow \Updownarrow	$\updownarrow \updownarrow \updownarrow \updownarrow \updownarrow \dots \Updownarrow \Updownarrow \Updownarrow \Updownarrow \Updownarrow$
	/ \big/ \Big/ \bigg/ \Bigg/ \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash \backslash	$/////\dots \backslash \backslash \backslash \backslash \mathrm{\setminus }$