Wikipedia Tests

Accents And Diacritics
\dot{a}, \ddot{a}, \acute{a}, \grave{a} | a˙,a¨,a´,a`
\check{a}, \breve{a}, \tilde{a}, \bar{a} | a ˇ,a˘,a~,a‾
\hat{a}, \widehat{a}, \vec{a} | a^,a^,a→
Angle Brackets
\left \langle \frac{a}{b} \right \rangle | ⟨a b⟩
Arc
\overset{\frown} {AB} | A B⌢
Area Of Quadrilateral
S=dD\sin\alpha | S=d D sin⁡α
Arrays
\begin{array}{||c|c::c|c||} A & B & C & D \\ \hdashline 1 & 2 & 3 & 4 \\ \hline 5 & 6 & 7 & 8 \\ 9 & 10 & 11 & 12 \end{array} | A B C D 1 2 3 4 5 6 7 8 9 10 11 12
Arrows
\Rrightarrow, \Lleftarrow | ⇛,⇚
\Rightarrow, \nRightarrow, \Longrightarrow, \implies | ⇒,⇏,⟹,⟹
\Leftarrow, \nLeftarrow, \Longleftarrow | ⇐,⇍,⟸
\Leftrightarrow, \nLeftrightarrow, \Longleftrightarrow, \iff | ⇔,⇎,⟺,⟺
\Uparrow, \Downarrow, \Updownarrow | ⇑,⇓,⇕
\rightarrow, \to, \nrightarrow, \longrightarrow | →,→,↛,⟶
\leftarrow, \gets, \nleftarrow, \longleftarrow | ←,←,↚,⟵
\leftrightarrow, \nleftrightarrow, \longleftrightarrow | ↔,↮,⟷
\uparrow, \downarrow, \updownarrow | ↑,↓,↕
\nearrow, \swarrow, \nwarrow, \searrow | ↗,↙,↖,↘
\mapsto, \longmapsto | ↦,⟼
\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons | ⇀⇁↼↽↿↾⇃⇂⇌⇋
\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \rightarrowtail \looparrowright | ↶↺↰⇈⇉⇄↣↬
\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \leftarrowtail \looparrowleft | ↷↻↱⇊⇇⇆↢↫
\hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow \twoheadrightarrow \twoheadleftarrow | ↪↩⊸↭⇝↠↞
Arrows Example
A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C | A←n+µ−1 B→T n±i−1 C
Bars And Double Bars
\left | \frac{a}{b} \right \vert | |a b|
\left \| \frac{a}{b} \right \Vert | ‖a b‖
Basic
\alpha | α
f(x) = x^2 | f(x)=x 2
\{1,e,\pi\} | {1,e,π}
|z| \leq 2 | |z|≤2
Binomials
\binom{n}{k} | (n k)
\tbinom{n}{k} | (n k)
\dbinom{n}{k} | (n k)
Blackboard Bold
\mathbb{ABCDEFGHI} | 𝔸 𝔹 ℂ 𝔻 𝔼 𝔽 𝔾 ℍ 𝕀
\mathbb{JKLMNOPQR} | 𝕁 𝕂 𝕃 𝕄 ℕ 𝕆 ℙ ℚ ℝ
\mathbb{STUVWXYZ} | 𝕊 𝕋 𝕌 𝕍 𝕎 𝕏 𝕐 ℤ
Boldface
\mathbf{ABCDEFGHI} | 𝐀 𝐁 𝐂 𝐃 𝐄 𝐅 𝐆 𝐇 𝐈
\mathbf{JKLMNOPQR} | 𝐉 𝐊 𝐋 𝐌 𝐍 𝐎 𝐏 𝐐 𝐑
\mathbf{STUVWXYZ} | 𝐒 𝐓 𝐔 𝐕 𝐖 𝐗 𝐘 𝐙
\mathbf{abcdefghijklm} | 𝐚 𝐛 𝐜 𝐝 𝐞 𝐟 𝐠 𝐡 𝐢 𝐣 𝐤 𝐥 𝐦
\mathbf{nopqrstuvwxyz} | 𝐧 𝐨 𝐩 𝐪 𝐫 𝐬 𝐭 𝐮 𝐯 𝐰 𝐱 𝐲 𝐳
\mathbf{0123456789} | 𝟎𝟏𝟐𝟑𝟒𝟓𝟔𝟕𝟖𝟗
Boldface Greek
\boldsymbol{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta} | 𝚨 𝚩 𝚪 𝚫 𝚬 𝚭 𝚮 𝚯
\boldsymbol{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi} | 𝚰 𝚱 𝚲 𝚳 𝚴 𝚵 𝚶 𝚷
\boldsymbol{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega} | 𝚸 𝚺 𝚻 𝚼 𝚽 𝚾 𝚿 𝛀
\boldsymbol{\alpha \beta \gamma \delta \epsilon \zeta \eta \theta} | 𝛂 𝛃 𝛄 𝛅 𝛜 𝛇 𝛈 𝛉
\boldsymbol{\iota \kappa \lambda \mu \nu \xi \omicron \pi} | 𝛊 𝛋 𝛌 µ 𝛎 𝛏 𝛐 𝛑
\boldsymbol{\rho \sigma \tau \upsilon \phi \chi \psi \omega} | 𝛒 𝛔 𝛕 𝛖 𝛟 𝛘 𝛙 𝛚
\boldsymbol{\varepsilon\digamma\varkappa\varpi} | 𝛆𝮧𝛞 𝛡
\boldsymbol{\varrho\varsigma\vartheta\varphi} | 𝛠 𝛓 𝛝 𝛗
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,lim inf⁡v,lim sup⁡w
\dim p, \deg q, \det m, \ker\phi | dim⁡p,deg⁡q,det⁡m,ker⁡ϕ
Braces
\left \{ \frac{a}{b} \right \} | {a b}
\left \lbrace \frac{a}{b} \right \rbrace | {a b}
Brackets
\left [ \frac{a}{b} \right ] | [a b]
\left \lbrack \frac{a}{b} \right \rbrack | [a b]
Calligraphiy
\mathcal{ABCDEFGHI} | 𝒜 ℬ 𝒞 𝒟 ℰ ℱ 𝒢 ℋ ℐ
\mathcal{JKLMNOPQR} | 𝒥 𝒦 ℒ ℳ 𝒩 𝒪 𝒫 𝒬 ℛ
\mathcal{STUVWXYZ} | 𝒮 𝒯 𝒰 𝒱 𝒲 𝒳 𝒴 𝒵
\mathcal{abcdefghi} | 𝒶 𝒷 𝒸 𝒹 ℯ 𝒻 ℊ 𝒽 𝒾
\mathcal{jklmnopqr} | 𝒿 𝓀 𝓁 𝓂 𝓃 ℴ 𝓅 𝓆 𝓇
\mathcal{stuvwxyz} | 𝓈 𝓉 𝓊 𝓋 𝓌 𝓍 𝓎 𝓏
Cases
f(n) = \begin{cases} n/2, & \text{if }n\text{ is even} \\ 3n+1, & \text{if }n\text{ is odd} \end{cases} | f(n)={n/2,if n is even 3 n+1,if n is odd
\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases} | {3 x+5 y+z 7 x−2 y+4 z−6 x+3 y+2 z
Closed Line Or Path Integral
\oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy | ∮(x,y)∈C x 3 d x+4 y 2 d y
Color
{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1} | x 2+2 x−1
x=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a} | x=−b±b 2−4 a c 2 a
x\color{red}\neq y=z | x≠y=z
x{\color{red}\neq} y=z | x≠y=z
x\color{red}\neq\color{black} y=z | x≠y=z
\frac{-b\color{Green}\pm\sqrt{b^2\color{Blue}-4{\color{Red}a}c}}{2a}=x | −b±b 2−4 a c 2 a=x
{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1} | x 2+2 x−1
\color{Blue}x^2\color{Black}+\color{Orange}2x\color{Black}-\color{LimeGreen}1 | x 2+2 x−1
Combined Sub Superscript
x_2^3 | x 2 3
{x_2}^3 | x 2 3
Complex Numbers
|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z) | |z‾|=|z|,|(z‾)n|=|z|n,arg⁡(z n)=n arg⁡(z)
Continuation And Cases
f(x) = \begin{cases} 1 & -1 \le x < 0 \\ \frac{1}{2} & x = 0 \\ 1 - x^2 & \text{otherwise} \end{cases} | f(x)={1−1≤x<0 1 2 x=0 1−x 2 otherwise
Coproduct
\coprod_{i=1}^N x_i | ∐i=1 N x i
\textstyle \coprod_{i=1}^N x_i | ∐i=1 N x i
Delimiter Sizes
( \bigl( \Bigl( \biggl( \Biggl( \dots \Biggr] \biggr] \Bigr] \bigr] ] | (((((⋯]]]]]
\{ \bigl\{ \Bigl\{ \biggl\{ \Biggl\{ \dots \Biggr\rangle \biggr\rangle \Bigr\rangle \bigr\rangle \rangle | {{{{{⋯⟩⟩⟩⟩⟩
\| \big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big| | | ∥‖‖‖‖⋯|||||
\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil | ⌊⌊⌊⌊⌊⋯⌉⌉⌉⌉⌉
\uparrow \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow \Downarrow | ↑↑↑↑↑⋯⇓⇓⇓⇓⇓
\updownarrow \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow \Updownarrow | ↕↕↕↕↕⋯⇕⇕⇕⇕⇕
/ \big/ \Big/ \bigg/ \Bigg/ \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash \backslash | /////⋯\\\\\
Derivative Dots
\dot{x}, \ddot{x} | x˙,x¨
Derivatives
x', y'', f', f'' | x′,y′′,f′,f′′
x^\prime, y^{\prime\prime} | x′,y′′
Differential And Derivatives
dt, \mathrm{d}t, \partial t, \nabla\psi | d t,d t,∂t,∇ψ
dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x} | d y/d x,d y/d x,d y d x,d y 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} | ∂2∂x 1∂x 2 y,∂3 f∂2 x∂y|p 0
\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y | ′,‵,f′,f′,f′′,f(3),y˙,y¨
Differential Equations
u'' + p(x)u' + q(x)u=f(x),\quad x>a | u′′+p(x)u′+q(x)u=f(x),x>a
Double Integral
\iint\limits_{D} dx\,dy | ∬D d x d y
Floor And Ceiling
\left \lfloor \frac{a}{b} \right \rfloor | ⌊a b⌋
\left \lceil \frac{a}{b} \right \rceil | ⌈a b⌉
Fraction And Small Fraction
\frac{a}{b}\ \tfrac{a}{b} | a b a b
Fractions
\frac{2}{4} = 0.5 | 2 4=0.5
\tfrac{2}{4} = 0.5 | 2 4=0.5
\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a | 2 4=0.5 2 c+2 d+2 4=a
\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a | 2 c+2 d+2 4=a
\cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2} | x 1+y y=x 2
Fraktur
\mathfrak{ABCDEFGHI} | 𝔄 𝔅 ℭ 𝔇 𝔈 𝔉 𝔊 ℌ ℍ
\mathfrak{JKLMNOPQR} | 𝔍 𝔎 𝔏 𝔐 𝔑 𝔒 𝔓 𝔔 ℜ
\mathfrak{STUVWXYZ} | 𝔖 𝔗 𝔘 𝔙 𝔚 𝔛 𝔜 ℨ
\mathfrak{abcdefghijklm} | 𝔞 𝔟 𝔠 𝔡 𝔢 𝔣 𝔤 𝔥 𝔦 𝔧 𝔨 𝔩 𝔪
\mathfrak{nopqrstuvwxyz} | 𝔫 𝔬 𝔭 𝔮 𝔯 𝔰 𝔱 𝔲 𝔳 𝔴 𝔵 𝔶 𝔷
\mathfrak{0123456789} | 0123456789
Geometric
\parallel, \nparallel, \shortparallel, \nshortparallel | ∥,∦,∥,∦
\perp, \angle, \sphericalangle, \measuredangle, 45^\circ | ⟂,∠,∢,∡,45∘
\Box, \square, \blacksquare, \diamond, \Diamond, \lozenge, \blacklozenge, \bigstar | □,□,■,⋄,◊,◊,⧫,★
\bigcirc, \triangle, \bigtriangleup, \bigtriangledown | ◯,△,△,▽
\vartriangle, \triangledown | △,▽
\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright | ▲,▼,◀,▶
Greek Alphabet
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta | Α Β Γ Δ Ε Ζ Η Θ
\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi | Ι Κ Λ Μ Ν Ξ Ο Π
\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega | Ρ Σ Τ Υ Φ Χ Ψ Ω
\alpha \beta \gamma \delta \epsilon \zeta \eta \theta | α β γ δ ϵ ζ η θ
\iota \kappa \lambda \mu \nu \xi \omicron \pi | ι κ λ µ ν ξ ο π
\rho \sigma \tau \upsilon \phi \chi \psi \omega | ρ σ τ υ ϕ χ ψ ω
\varGamma \varDelta \varTheta \varLambda \varXi \varPi \varSigma \varPhi \varUpsilon \varOmega | 𝛤 𝛥 𝛩 𝛬 𝛯 𝛱 𝛴 𝛷 𝛶 𝛺
\varepsilon \digamma \varkappa \varpi \varrho \varsigma \vartheta \varphi | ε ϝ ϰ ϖ ϱ ς ϑ φ
Greek Italics
\mathit{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta} | 𝛢 𝛣 𝛤 𝛥 𝛦 𝛧 𝛨 𝛩
\mathit{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi} | 𝛪 𝛫 𝛬 𝛭 𝛮 𝛯 𝛰 𝛱
\mathit{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega} | 𝛲 𝛴 𝛵 𝛶 𝛷 𝛸 𝛹 𝛺
Greek Uppercase Boldface Italics
\boldsymbol{\varGamma \varDelta \varTheta \varLambda} | 𝛤 𝛥 𝛩 𝛬
\boldsymbol{\varXi \varPi \varSigma \varUpsilon \varOmega} | 𝛯 𝛱 𝛴 𝛶 𝛺
Grouping
10^{30} a^{2+2} | 10 30 a 2+2
a_{i,j} b_{f'} | a i,j b f′
Hebrew Symbols
\aleph \beth \gimel \daleth | ℵ ℶ ℷ ℸ
Integral
\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx | ∫1 3 e 3/x x 2 d x
\int_{1}^{3}\frac{e^3/x}{x^2}\, dx | ∫1 3 e 3/x x 2 d x
\textstyle \int\limits_{-N}^{N} e^x dx | ∫−N N e x d x
\textstyle \int_{-N}^{N} e^x dx | ∫−N N e x d x
Integral Equation
\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 | ϕ n(κ)=1 4 π 2 κ 2∫0∞sin⁡(κ R)κ R∂∂R[R 2∂D n(R)∂R]d R
Integrals
\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy | ∫a x∫a s f(y)d y d s=∫a x f(y)(x−y)d y
\int_e^{\infty}\frac {1}{t(\ln t)^2}dt = \left. \frac{-1}{\ln t} \right\vert_e^\infty = 1 | ∫e∞1 t(ln⁡t)2 d t=−1 ln⁡t|e∞=1
Intersections
\bigcap_{i=1}^n E_i | ⋂i=1 n E i
Italics
\mathit{0123456789} | 0123456789
Letter Like Symbols Or Constants
\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar | ∞,ℵ,∁,϶,ð,Ⅎ,ℏ
\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS, \S, \P | ℑ,ı,ȷ,𝕜,ℓ,℧,℘,ℜ,Ⓢ,§,¶
Limit
\lim_{x \to \infty} x_n | lim x→∞⁡x n
\textstyle \lim_{x \to \infty} x_n | lim x→∞⁡x n
Limits
\lim_{z\to z_0} f(z)=f(z_0) | lim z→z 0⁡f(z)=f(z 0)
Line Or Path Integral
\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy | ∫(x,y)∈C x 3 d x+4 y 2 d y
Logic
\forall, \exists, \nexists | ∀,∃,∄
\therefore, \because, \And | ∴,∵,&
\lor, \vee, \curlyvee, \bigvee | ∨,∨,⋎,⋁
\land, \wedge, \curlywedge, \bigwedge | ∧,∧,⋏,⋀
\bar{q}, \bar{abc}, \overline{q}, \overline{abc} | q‾,a b c‾,q‾,a b c‾
\lnot, \neg, \not\operatorname{R}, \bot, \to | ¬,¬,R⁡,⊥,→
\vdash, \dashv, \vDash, \Vdash, \models | ⊢,⊣,⊨,⊩,⊨
\Vvdash, \nvdash, \nVdash, \nvDash, \nVDash | ⊪,⊬,⊮,⊭,⊯
\ulcorner, \urcorner, \llcorner, \lrcorner | ┌,┐,└,┘
Matrices
\begin{matrix} -x & y \\ z & -v \end{matrix} | −x y z−v
\begin{vmatrix} -x & y \\ z & -v \end{vmatrix} | |−x y z−v|
\begin{Vmatrix} -x & y \\ z & -v \end{Vmatrix} | ‖−x y z−v‖
\begin{bmatrix} 0 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \cdots & 0 \end{bmatrix} | [0⋯0⋮⋱⋮0⋯0]
\begin{Bmatrix} x & y \\ z & v \end{Bmatrix} | {x y z v}
\begin{pmatrix} x & y \\ z & v \end{pmatrix} | (x y z v)
\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr) | (a b c d)
Matrices And Determinants
\det(\mathsf{A}-\lambda\mathsf{I}) = 0 | det⁡(𝖠−λ 𝖨)=0
Mixed
\left [ 0,1 \right ) | [0,1)
\left \langle \psi \right | | ⟨ψ|
Mixed Faces
x y z | x y z
\text{x y z} | x y z
\text{if} n \text{is even} | if n is even
\text{if }n\text{ is even} | if n is even
\text{if}~n\ \text{is even} | if n is even
Modular Arithmetic
s_k \equiv 0 \pmod{m} | s k≡0(mod⁡m)
a \bmod b | a mod⁡b
\gcd(m, n), \operatorname{lcm}(m, n) | gcd⁡(m,n),lcm⁡(m,n)
\mid, \nmid, \shortmid, \nshortmid | ∣,∤,∣,∤
Multiline Equations
\begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \\ \end{align} | f(x)=(a+b)2=a 2+2 a b+b 2
\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \\ \end{alignat} | f(x)=(a−b)2=a 2−2 a b+b 2
\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} | f(a,b)=(a+b)2=(a+b)(a+b)=a 2+a b+b a+b 2=a 2+2 a b+b 2
\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} | f(a,b)=(a+b)2=(a+b)(a+b)=a 2+a b+b a+b 2=a 2+2 a b+b 2
\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} | z=a f(x,y,z)=x+y+z
\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} | z=a f(x,y,z)=x+y+z
\begin{alignat}{4} F:\; && C(X) && \;\to\; & C(X) \\ && g && \;\mapsto\; & g^2 \end{alignat} | F:C(X)→C(X)g↦g 2
\begin{alignat}{4} F:\; && C(X) && \;\to\; && C(X) \\ && g && \;\mapsto\; && g^2 \end{alignat} | F:C(X)→C(X)g↦g 2
Multiple Equations
\begin{align} u & = \tfrac{1}{\sqrt{2}}(x+y) \qquad & x &= \tfrac{1}{\sqrt{2}}(u+v) \\[0.6ex] v & = \tfrac{1}{\sqrt{2}}(x-y) \qquad & y &= \tfrac{1}{\sqrt{2}}(u-v) \end{align} | u=1 2(x+y)x=1 2(u+v)v=1 2(x−y)y=1 2(u−v)
No Delimiter
\left . \frac{A}{B} \right \} \to X | A B}→X
Operators
+, -, \pm, \mp, \dotplus | +,−,±,∓,∔
\times, \div, \divideontimes, /, \backslash | ×,÷,⋇,/,\
\cdot, * \ast, \star, \circ, \bullet | ⋅,∗*,⋆,∘,∙
\boxplus, \boxminus, \boxtimes, \boxdot | ⊞,⊟,⊠,⊡
\oplus, \ominus, \otimes, \oslash, \odot | ⊕,⊖,⊗,⊘,⊙
\circleddash, \circledcirc, \circledast | ⊝,⊚,⊛
\bigoplus, \bigotimes, \bigodot | ⨁,⨂,⨀
Overbraces
\overbrace{ 1+2+\cdots+100 }^{5050} | 1+2+⋯+100⏞5050
\underbrace{ a+b+\cdots+z }_{26} | a+b+⋯+z⏟26
Parentheses
\left ( \frac{a}{b} \right ) | (a b)
Preceding And Or Additional
{}_1^2\!\Omega_3^4 | 1 2 Ω 3 4
Prefixed Subscript
{}_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!} | p F q(a 1,…,a p;c 1,…,c q;z)=∑n=0∞(a 1)n⋯(a p)n(c 1)n⋯(c q)n z n n!
Product
\prod_{i=1}^N x_i | ∏i=1 N x i
\textstyle \prod_{i=1}^N x_i | ∏i=1 N x i
Projections
\Pr j, \hom l, \lVert z \rVert, \arg z | Pr⁡j,hom⁡l,‖z‖,arg⁡z
Quadratic Formula
x = \frac{-b\pm\sqrt{b^2-4ac}}{2a} | x=−b±b 2−4 a c 2 a
Quadratic Polynomial
ax^2 + bx + c = 0 | a x 2+b x+c=0
Quadruple Integral
\iiiint\limits_{D} dx\,dy\,dz\,dt | ⨌D d x d y d z d t
Radicals
\surd, \sqrt{2}, \sqrt[n]{2}, \sqrt[3]{\frac{x^3+y^3}{2}} | ,2,2 n,x 3+y 3 2 3
Relations
=, \ne, \neq, \equiv, \not\equiv | =,≠,≠,≡,≢
\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, := | ≐,≑,=d e f,:=
\sim, \nsim, \backsim, \thicksim, \simeq, \backsimeq, \eqsim, \cong, \ncong | ∼,≁,∽,∼,≃,⋍,≂,≅,≆
\approx, \thickapprox, \approxeq, \asymp, \propto, \varpropto | ≈,≈,≊,≍,∝,∝
<, \nless, \ll, \not\ll, \lll, \not\lll, \lessdot | <,≮,≪,≪̸,⋘,⋘̸,⋖
>, \ngtr, \gg, \not\gg, \ggg, \not\ggg, \gtrdot | >,≯,≫,≫̸,⋙,⋙̸,⋗
\le, \leq, \lneq, \leqq, \nleq, \nleqq, \lneqq, \lvertneqq | ≤,≤,⪇,≦,≰,≰,≨,≨︀
\ge, \geq, \gneq, \geqq, \ngeq, \ngeqq, \gneqq, \gvertneqq | ≥,≥,⪈,≧,≱,≱,≩,≩︀
\lessgtr, \lesseqgtr, \lesseqqgtr, \gtrless, \gtreqless, \gtreqqless | ≶,⋚,⪋,≷,⋛,⪌
\leqslant, \nleqslant, \eqslantless | ⩽,≰,⪕
\geqslant, \ngeqslant, \eqslantgtr | ⩾,≱,⪖
\lesssim, \lnsim, \lessapprox, \lnapprox | ≲,⋦,⪅,⪉
\gtrsim, \gnsim, \gtrapprox, \gnapprox | ≳,⋧,⪆,⪊
\prec, \nprec, \preceq, \npreceq, \precneqq | ≺,⊀,⪯,⋠,⪵
\succ, \nsucc, \succeq, \nsucceq, \succneqq | ≻,⊁,⪰,⋡,⪶
\preccurlyeq, \curlyeqprec | ≼,⋞
\succcurlyeq, \curlyeqsucc | ≽,⋟
\precsim, \precnsim, \precapprox, \precnapprox | ≾,⋨,⪷,⪹
\succsim, \succnsim, \succapprox, \succnapprox | ≿,⋩,⪸,⪺
Roman Typeface
\mathrm{ABCDEFGHI} | A B C D E F G H I
\mathrm{JKLMNOPQR} | J K L M N O P Q R
\mathrm{STUVWXYZ} | S T U V W X Y Z
\mathrm{abcdefghijklm} | a b c d e f g h i j k l m
\mathrm{nopqrstuvwxyz} | n o p q r s t u v w x y z
\mathrm{0123456789} | 0123456789
Sans Serif
\mathsf{ABCDEFGHI} | 𝖠 𝖡 𝖢 𝖣 𝖤 𝖥 𝖦 𝖧 𝖨
\mathsf{JKLMNOPQR} | 𝖩 𝖪 𝖫 𝖬 𝖭 𝖮 𝖯 𝖰 𝖱
\mathsf{STUVWXYZ} | 𝖲 𝖳 𝖴 𝖵 𝖶 𝖷 𝖸 𝖹
\mathsf{abcdefghijklm} | 𝖺 𝖻 𝖼 𝖽 𝖾 𝖿 𝗀 𝗁 𝗂 𝗃 𝗄 𝗅 𝗆
\mathsf{nopqrstuvwxyz} | 𝗇 𝗈 𝗉 𝗊 𝗋 𝗌 𝗍 𝗎 𝗏 𝗐 𝗑 𝗒 𝗓
\mathsf{0123456789} | 𝟢𝟣𝟤𝟥𝟦𝟧𝟨𝟩𝟪𝟫
Sans Serif Greek
\mathsf{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta} | Α Β Γ Δ Ε Ζ Η Θ
\mathsf{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi} | Ι Κ Λ Μ Ν Ξ Ο Π
\mathsf{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega} | Ρ Σ Τ Υ Φ Χ Ψ Ω
Sets
\{ \}, \emptyset, \varnothing | {},∅,⌀
\in, \notin \not\in, \ni, \not\ni | ∈,∉∉,∋,∌
\cap, \Cap, \sqcap, \bigcap | ∩,⋒,⊓,⋂
\cup, \Cup, \sqcup, \bigcup, \bigsqcup, \uplus, \biguplus | ∪,⋓,⊔,⋃,⨆,⊎,⨄
\setminus, \smallsetminus, \times | ∖,∖,×
\subset, \Subset, \sqsubset | ⊂,⋐,⊏
\supset, \Supset, \sqsupset | ⊃,⋑,⊐
\subseteq, \nsubseteq, \subsetneq, \varsubsetneq, \sqsubseteq | ⊆,⊈,⊊,⊊︀,⊑
\supseteq, \nsupseteq, \supsetneq, \varsupsetneq, \sqsupseteq | ⊇,⊉,⊋,⊋︀,⊒
\subseteqq, \nsubseteqq, \subsetneqq, \varsubsetneqq | ⫅,⊈,⫋,⫋︀
\supseteqq, \nsupseteqq, \supsetneqq, \varsupsetneqq | ⫆,⊉,⫌,⫌︀
Slashes And Backslashes
\left / \frac{a}{b} \right \backslash | /a b\
Small Script
{\scriptstyle\text{abcdefghijklm}} | abcdefghijklm
Special
\amalg \P \S \% \dagger \ddagger \ldots \cdots \vdots \ddots | ⨿¶§%†‡…⋯⋮⋱
\smile \frown \wr \triangleleft \triangleright | ⌣⌢≀◃▹
\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp | ♢,♡,♣,♠,ℷ,♭,♮,♯
Stacking
\overset{\alpha}{\omega} | ω α
\underset{\alpha}{\omega} | ω α
\overset{\alpha}{\underset{\gamma}{\omega}} | ω γ α
\stackrel{\alpha}{\omega} | ω α
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 | sh⁡k,ch⁡l,th⁡m,coth⁡n
\operatorname{argsh}o, \operatorname{argch}p, \operatorname{argth}q | argsh⁡o,argch⁡p,argth⁡q
\sgn r, \left\vert s \right\vert | sgn⁡r,|s|
\min(x,y), \max(x,y) | min⁡(x,y),max⁡(x,y)
Subscript
a_2 | a 2
Sum
\sum_{k=1}^N k^2 | ∑k=1 N k 2
\textstyle \sum_{k=1}^N k^2 | ∑k=1 N k 2
Sum In Fraction
\frac{\sum_{k=1}^N k^2}{a} | ∑k=1 N k 2 a
\frac{\displaystyle \sum_{k=1}^N k^2}{a} | ∑k=1 N k 2 a
\frac{\sum\limits^{N}_{k=1} k^2}{a} | ∑k=1 N k 2 a
Summation
\sum_{i=0}^{n-1} i | ∑i=0 n−1 i
\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2 n}{3^m\left(m 3^n + n 3^m\right)} | ∑m=1∞∑n=1∞m 2 n 3 m(m 3 n+n 3 m)
Super Super
10^{10^{8}} | 10 10 8
Superscript
a^2, a^{x+3} | a 2,a x+3
Tall Parentheses And Fractions
2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right) | 2=((3−x)×2 3−x)
S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2} | S new=S old−(5−T)2 2
\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0} | ϕ n(κ)=0.033 C n 2 κ−11/3,1 L 0≪κ≪1 l 0
Triple Integral
\iiint\limits_{D} dx\,dy\,dz | ∭D d x d y d z
Underline Overline Vectors
\hat a \ \bar b \ \vec c | a^ b‾ c→
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} | a b→ c d← d e f^
\overline{g h i} \ \underline{j k l} | g h i‾ j k l_
Unions
\bigcup_{i=1}^n E_i | ⋃i=1 n E i
Unsorted
\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes | ╱╲·⋉⋊⋋⋌
\eqcirc \circeq \triangleq \bumpeq \Bumpeq \doteqdot \risingdotseq \fallingdotseq | ≖≗≜≏≎≑≓≒
\intercal \barwedge \veebar \doublebarwedge \between \pitchfork | ⊺⌅⊻⩞≬⋔
\vartriangleleft \ntriangleleft \vartriangleright \ntriangleright | ⊲⋪⊳⋫
\trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq | ⊴⋬⊵⋭
Up Down Updown Arrows
\left \uparrow \frac{a}{b} \right \downarrow | ↑a b↓
\left \Uparrow \frac{a}{b} \right \Downarrow | ⇑a b⇓
\left \updownarrow \frac{a}{b} \right \Updownarrow | ↕a b⇕
Volume Of Sphere Stand
V = \frac{1}{6} \pi h \left [ 3 \left ( r_1^2 + r_2^2 \right ) + h^2 \right ] | V=1 6 π h[3(r 1 2+r 2 2)+h 2]