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}	$$\check{a},\breve{a},\tilde{a},\bar{a}$$
\hat{a}, \widehat{a}, \vec{a}	$$\hat{a},\hat{a},\overrightarrow{a}$$
Angle Brackets
\left \langle \frac{a}{b} \right \rangle	$$⟨\frac{a}{b}⟩$$
Arc
\overset{\frown} {AB}	$$\stackrel{⌢}{AB}$$
Area Of Quadrilateral
S=dD\sin\alpha	$$S=dD\sin \alpha$$
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}	$$\begin{array}{ccccccc}& A& B& & C& D& \\ & 1& 2& & 3& 4& \\ & 5& 6& & 7& 8& \\ & 9& 10& & 11& 12& \end{array}$$
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	$$\hookrightarrow \hookleftarrow ⊸\leftrightsquigarrow ⇝\twoheadrightarrow \twoheadleftarrow$$
Arrows Example
A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C	$$A\stackrel{n+\mu -1}{\leftarrow }B\underset{T}{\overset{n\pm i-1}{\to }}C$$
Bars And Double Bars
\left | \frac{a}{b} \right \vert	$$\left|\frac{a}{b}\right|$$
\left \| \frac{a}{b} \right \Vert	$$\Vert \frac{a}{b}\Vert$$
Basic
\alpha	$$\alpha$$
f(x) = x^2	$$f(x)=x^2$$
\{1,e,\pi\}	$$\{1,e,\pi \}$$
|z| \leq 2	$$|z|\le 2$$
Binomials
\binom{n}{k}	$$\left(\genfrac{}{}{0em}{}{n}{k}\right)$$
\tbinom{n}{k}	$$\left(\genfrac{}{}{0em}{}{n}{k}\right)$$
\dbinom{n}{k}	$$\left(\genfrac{}{}{0em}{}{n}{k}\right)$$
Blackboard Bold
\mathbb{ABCDEFGHI}	$$𝔸𝔹ℂ𝔻𝔼𝔽𝔾ℍ𝕀$$
\mathbb{JKLMNOPQR}	$$𝕁𝕂𝕃𝕄\mathbb{N}𝕆\mathbb{P}\mathbb{Q}ℝ$$
\mathbb{STUVWXYZ}	$$𝕊𝕋𝕌𝕍𝕎𝕏𝕐\mathbb{Z}$$
Boldface
\mathbf{ABCDEFGHI}	$$𝐀𝐁𝐂𝐃𝐄𝐅𝐆𝐇𝐈$$
\mathbf{JKLMNOPQR}	$$𝐉𝐊𝐋𝐌𝐍𝐎𝐏𝐐𝐑$$
\mathbf{STUVWXYZ}	$$𝐒𝐓𝐔𝐕𝐖𝐗𝐘𝐙$$
\mathbf{abcdefghijklm}	$$𝐚𝐛𝐜𝐝𝐞𝐟𝐠𝐡𝐢𝐣𝐤𝐥𝐦$$
\mathbf{nopqrstuvwxyz}	$$𝐧𝐨𝐩𝐪𝐫𝐬𝐭𝐮𝐯𝐰𝐱𝐲𝐳$$
\mathbf{0123456789}	$$\mathrm{𝟎𝟏𝟐𝟑𝟒𝟓𝟔𝟕𝟖𝟗}$$
Boldface Greek
\boldsymbol{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta}	$$𝚨𝚩𝚪𝚫𝚬𝚭𝚮𝚯$$
\boldsymbol{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi}	$$𝚰𝚱𝚲𝚳𝚴𝚵𝚶𝚷$$
\boldsymbol{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega}	$$𝚸𝚺𝚻𝚼𝚽𝚾𝚿𝛀$$
\boldsymbol{\alpha \beta \gamma \delta \epsilon \zeta \eta \theta}	$$𝛂𝛃𝛄𝛅𝛜𝛇𝛈𝛉$$
\boldsymbol{\iota \kappa \lambda \mu \nu \xi \omicron \pi}	$$𝛊𝛋𝛌\mu 𝛎𝛏𝛐𝛑$$
\boldsymbol{\rho \sigma \tau \upsilon \phi \chi \psi \omega}	$$𝛒𝛔𝛕𝛖𝛟𝛘𝛙𝛚$$
\boldsymbol{\varepsilon\digamma\varkappa\varpi}	$$𝛆𝮧𝛞𝛡$$
\boldsymbol{\varrho\varsigma\vartheta\varphi}	$$𝛠𝛓𝛝𝛗$$
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	$$\dim p,\mathrm{deg}q,\det m,\ker \varphi$$
Braces
\left \{ \frac{a}{b} \right \}	$$\left\{\frac{a}{b}\right\}$$
\left \lbrace \frac{a}{b} \right \rbrace	$$\left\{\frac{a}{b}\right\}$$
Brackets
\left [ \frac{a}{b} \right ]	$$\left[\frac{a}{b}\right]$$
\left \lbrack \frac{a}{b} \right \rbrack	$$\left[\frac{a}{b}\right]$$
Calligraphiy
\mathcal{ABCDEFGHI}	$$𝒜ℬ𝒞𝒟ℰℱ𝒢\mathscr{H}ℐ$$
\mathcal{JKLMNOPQR}	$$𝒥𝒦ℒℳ𝒩𝒪𝒫𝒬ℛ$$
\mathcal{STUVWXYZ}	$$𝒮𝒯𝒰𝒱𝒲𝒳𝒴𝒵$$
\mathcal{abcdefghi}	$$𝒶𝒷𝒸𝒹ℯ𝒻ℊ𝒽𝒾$$
\mathcal{jklmnopqr}	$$𝒿𝓀𝓁𝓂𝓃ℴ𝓅𝓆𝓇$$
\mathcal{stuvwxyz}	$$𝓈𝓉𝓊𝓋𝓌𝓍𝓎𝓏$$
Cases
f(n) = \begin{cases} n/2, & \text{if }n\text{ is even} \\ 3n+1, & \text{if }n\text{ is odd} \end{cases}	$$f(n)=\{\begin{array}{cc}n/2,& \text{if }n\text{ is even}\\ 3n+1,& \text{if }n\text{ is odd}\end{array}$$
\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}	$$\{\begin{array}{c}3x+5y+z\\ 7x-2y+4z\\ -6x+3y+2z\end{array}$$
Closed Line Or Path Integral
\oint_{(x,y)\in C} x^3\, dx + 4y^2\, dy	$${\oint }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$$
Color
{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}	$$x^2+2x-1$$
x=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a}	$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
x\color{red}\neq y=z	$$x\ne y=z$$
x{\color{red}\neq} y=z	$$x\ne y=z$$
x\color{red}\neq\color{black} y=z	$$x\ne y=z$$
\frac{-b\color{Green}\pm\sqrt{b^2\color{Blue}-4{\color{Red}a}c}}{2a}=x	$$\frac{-b\pm \sqrt{b^2-4ac}}{2a}=x$$
{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}	$$x^2+2x-1$$
\color{Blue}x^2\color{Black}+\color{Orange}2x\color{Black}-\color{LimeGreen}1	$$x^2+2x-1$$
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)	$$|\bar{z}|=|z|,|(\bar{z}{)}^n|=|z{|}^n,\arg (z^n)=n\arg (z)$$
Continuation And Cases
f(x) = \begin{cases} 1 & -1 \le x < 0 \\ \frac{1}{2} & x = 0 \\ 1 - x^2 & \text{otherwise} \end{cases}	$$f(x)=\{\begin{array}{cc}1& -1\le x<0\\ \frac{1}{2}& x=0\\ 1-x^2& \text{otherwise}\end{array}$$
Coproduct
\coprod_{i=1}^N x_i	$$\coprod _{i=1}^N{x}_i$$
\textstyle \coprod_{i=1}^N x_i	$${\coprod }_{i=1}^N{x}_i$$
Delimiter Sizes
( \bigl( \Bigl( \biggl( \Biggl( \dots \Biggr] \biggr] \Bigr] \bigr] ]	$$((\left(\right(\left(\cdots \right]\left]\right]]]$$
\{ \bigl\{ \Bigl\{ \biggl\{ \Biggl\{ \dots \Biggr\rangle \biggr\rangle \Bigr\rangle \bigr\rangle \rangle	$$\{\{\left\{\right\{\{\cdots ⟩⟩⟩⟩⟩$$
\| \big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big| |	$$\parallel \Vert \Vert \Vert \Vert \cdots \left|\right|\left|\right||$$
\lfloor \bigl\lfloor \Bigl\lfloor \biggl\lfloor \Biggl\lfloor \dots \Biggr\rceil \biggr\rceil \Bigr\rceil \bigr\rceil \rceil	$$\lfloor \lfloor \lfloor \lfloor \lfloor \cdots \rceil \rceil \rceil \rceil \rceil$$
\uparrow \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow \Downarrow	$$\uparrow \uparrow \uparrow \uparrow \uparrow \cdots \Downarrow \Downarrow \Downarrow \Downarrow \Downarrow$$
\updownarrow \big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow \Updownarrow	$$\updownarrow \updownarrow \updownarrow \updownarrow \updownarrow \cdots \Updownarrow \Updownarrow \Updownarrow \Updownarrow \Updownarrow$$
/ \big/ \Big/ \bigg/ \Bigg/ \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash \backslash	$$/////\cdots \backslash \backslash \backslash \backslash \backslash$$
Derivative Dots
\dot{x}, \ddot{x}	$$\dot{x},\ddot{x}$$
Derivatives
x', y'', f', f''	$$x\prime ,y\prime \prime ,f\prime ,f\prime \prime$$
x^\prime, y^{\prime\prime}	$$x^{\prime },y^{\prime \prime }$$
Differential And Derivatives
dt, \mathrm{d}t, \partial t, \nabla\psi	$$dt,\mathrm{d}t,\partial t,\nabla \psi$$
dy/dx, \mathrm{d}y/\mathrm{d}x, \frac{dy}{dx}, \frac{\mathrm{d}y}{\mathrm{d}x}	$$dy/dx,\mathrm{d}y/\mathrm{d}x,\frac{dy}{dx},\frac{\mathrm{d}y}{\mathrm{d}x}$$
\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	$$\prime ,‵,f^{\prime },f\prime ,f\prime \prime ,f^{(3)},\dot{y},\ddot{y}$$
Differential Equations
u'' + p(x)u' + q(x)u=f(x),\quad x>a	$$u\prime \prime +p(x)u\prime +q(x)u=f(x),x>a$$
Double Integral
\iint\limits_{D} dx\,dy	$$\underset{D}{\iint }dxdy$$
Floor And Ceiling
\left \lfloor \frac{a}{b} \right \rfloor	$$\lfloor \frac{a}{b}\rfloor$$
\left \lceil \frac{a}{b} \right \rceil	$$\lceil \frac{a}{b}\rceil$$
Fraction And Small Fraction
\frac{a}{b}\ \tfrac{a}{b}	$$\frac{a}{b}\frac{a}{b}$$
Fractions
\frac{2}{4} = 0.5	$$\frac{2}{4}=0.5$$
\tfrac{2}{4} = 0.5	$$\frac{2}{4}=0.5$$
\dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a	$$\frac{2}{4}=0.5\frac{2}{c+\frac{2}{d+\frac{2}{4}}}=a$$
\cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a	$$\frac{2}{c+\frac{2}{d+\frac{2}{4}}}=a$$
\cfrac{x}{1 + \cfrac{\cancel{y}}{\cancel{y}}} = \cfrac{x}{2}	$$\frac{x}{1+\frac{y}{y}}=\frac{x}{2}$$
Fraktur
\mathfrak{ABCDEFGHI}	$$𝔄𝔅ℭ𝔇𝔈𝔉𝔊ℌℍ$$
\mathfrak{JKLMNOPQR}	$$𝔍𝔎𝔏𝔐𝔑𝔒𝔓𝔔\Re$$
\mathfrak{STUVWXYZ}	$$𝔖𝔗𝔘𝔙𝔚𝔛𝔜ℨ$$
\mathfrak{abcdefghijklm}	$$𝔞𝔟𝔠𝔡𝔢𝔣𝔤𝔥𝔦𝔧𝔨𝔩𝔪$$
\mathfrak{nopqrstuvwxyz}	$$𝔫𝔬𝔭𝔮𝔯𝔰𝔱𝔲𝔳𝔴𝔵𝔶𝔷$$
\mathfrak{0123456789}	$$0123456789$$
Geometric
\parallel, \nparallel, \shortparallel, \nshortparallel	$$\parallel ,\nparallel ,\parallel ,\nparallel$$
\perp, \angle, \sphericalangle, \measuredangle, 45^\circ	$$⟂,\angle ,\sphericalangle ,\measuredangle ,{45}^{\circ }$$
\Box, \square, \blacksquare, \diamond, \Diamond, \lozenge, \blacklozenge, \bigstar	$$\square ,\square ,■,\diamond ,◊,◊,⧫,★$$
\bigcirc, \triangle, \bigtriangleup, \bigtriangledown	$$◯,△,△,▽$$
\vartriangle, \triangledown	$$△,▽$$
\blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright	$$▲,▼,◀,▶$$
Greek Alphabet
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta	$$\mathrm{{\rm A}}\mathrm{{\rm B}}\mathrm{\Gamma }\mathrm{\Delta }\mathrm{{\rm E}}\mathrm{{\rm Z}}\mathrm{{\rm H}}\mathrm{\Theta }$$
\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi	$$\mathrm{{\rm I}}\mathrm{{\rm K}}\mathrm{\Lambda }\mathrm{{\rm M}}\mathrm{{\rm N}}\mathrm{\Xi }\mathrm{{\rm O}}\mathrm{\Pi }$$
\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega	$$\mathrm{{\rm P}}\mathrm{\Sigma }\mathrm{{\rm T}}\mathrm{{\rm Y}}\mathrm{\Phi }\mathrm{{\rm X}}\mathrm{\Psi }\mathrm{\Omega }$$
\alpha \beta \gamma \delta \epsilon \zeta \eta \theta	$$\alpha \beta \gamma \delta ϵ\zeta \eta \theta$$
\iota \kappa \lambda \mu \nu \xi \omicron \pi	$$\iota \kappa \lambda \mu \nu \xi o\pi$$
\rho \sigma \tau \upsilon \phi \chi \psi \omega	$$\rho \sigma \tau \upsilon \varphi \chi \psi \omega$$
\varGamma \varDelta \varTheta \varLambda \varXi \varPi \varSigma \varPhi \varUpsilon \varOmega	$$\mathrm{𝛤}\mathrm{𝛥}\mathrm{𝛩}\mathrm{𝛬}\mathrm{𝛯}\mathrm{𝛱}\mathrm{𝛴}\mathrm{𝛷}\mathrm{𝛶}\mathrm{𝛺}$$
\varepsilon \digamma \varkappa \varpi \varrho \varsigma \vartheta \varphi	$$\epsilon ϝ\varkappa \varpi \varrho \varsigma \vartheta \phi$$
Greek Italics
\mathit{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta}	$$𝛢𝛣𝛤𝛥𝛦𝛧𝛨𝛩$$
\mathit{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi}	$$𝛪𝛫𝛬𝛭𝛮𝛯𝛰𝛱$$
\mathit{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega}	$$𝛲𝛴𝛵𝛶𝛷𝛸𝛹𝛺$$
Greek Uppercase Boldface Italics
\boldsymbol{\varGamma \varDelta \varTheta \varLambda}	$$𝛤𝛥𝛩𝛬$$
\boldsymbol{\varXi \varPi \varSigma \varUpsilon \varOmega}	$$𝛯𝛱𝛴𝛶𝛺$$
Grouping
10^{30} a^{2+2}	$${10}^{30}{a}^{2+2}$$
a_{i,j} b_{f'}	$$a_{i,j}{b}_{f\prime }$$
Hebrew Symbols
\aleph \beth \gimel \daleth	$$\aleph \beth \gimel \daleth$$
Integral
\int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx	$$\underset{1}{\overset{3}{\int }}\frac{e^3/x}{x^2}dx$$
\int_{1}^{3}\frac{e^3/x}{x^2}\, dx	$${\int }_1^3\frac{e^3/x}{x^2}dx$$
\textstyle \int\limits_{-N}^{N} e^x dx	$$\underset{-N}{\overset{N}{\int }}{e}^{x}dx$$
\textstyle \int_{-N}^{N} e^x dx	$${\int }_{-N}^N{e}^{x}dx$$
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	$${\varphi }_n(\kappa )=\frac{1}{4{\pi }^2{\kappa }^2}{\int }_0^{\infty }\frac{\sin (\kappa R)}{\kappa R}\frac{\partial }{\partial R}\left[R^2\frac{\partial D_n(R)}{\partial R}\right]dR$$
Integrals
\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy	$${\int }_a^x{\int }_a^{s}f(y)dyds={\int }_a^{x}f(y)(x-y)dy$$
\int_e^{\infty}\frac {1}{t(\ln t)^2}dt = \left. \frac{-1}{\ln t} \right\vert_e^\infty = 1	$${\int }_e^{\infty }\frac{1}{t(\ln t{)}^2}dt={\frac{-1}{\ln t}|}_e^{\infty }=1$$
Intersections
\bigcap_{i=1}^n E_i	$$\bigcap _{i=1}^n{E}_i$$
Italics
\mathit{0123456789}	$$0123456789$$
Letter Like Symbols Or Constants
\infty, \aleph, \complement, \backepsilon, \eth, \Finv, \hbar	$$\infty ,\aleph ,\complement ,϶,ð,\mathrm{Ⅎ},\hslash$$
\Im, \imath, \jmath, \Bbbk, \ell, \mho, \wp, \Re, \circledS, \S, \P	$$\mathrm{\Im },ı,ȷ,𝕜,\ell ,\mho ,\wp ,\mathrm{\Re },\mathrm{Ⓢ},\S ,\P$$
Limit
\lim_{x \to \infty} x_n	$$\underset{x\to \infty }{\lim }{x}_n$$
\textstyle \lim_{x \to \infty} x_n	$${\lim }_{x\to \infty }{x}_n$$
Limits
\lim_{z\to z_0} f(z)=f(z_0)	$$\underset{z\to z_0}{\lim }f(z)=f(z_0)$$
Line Or Path Integral
\int_{(x,y)\in C} x^3\, dx + 4y^2\, dy	$${\int }_{(x,y)\in C}{x}^{3}dx+4y^{2}dy$$
Logic
\forall, \exists, \nexists	$$\forall ,\exists ,\nexists$$
\therefore, \because, \And	$$\therefore ,\because ,\&$$
\lor, \vee, \curlyvee, \bigvee	$$\vee ,\vee ,⋎,\bigvee$$
\land, \wedge, \curlywedge, \bigwedge	$$\wedge ,\wedge ,⋏,\bigwedge$$
\bar{q}, \bar{abc}, \overline{q}, \overline{abc}	$$\bar{q},\overline{abc},\bar{q},\overline{abc}$$
\lnot, \neg, \not\operatorname{R}, \bot, \to	$$\neg ,\neg ,\mathrm{R},\perp ,\to$$
\vdash, \dashv, \vDash, \Vdash, \models	$$⊢,⊣,\models ,⊩,\models$$
\Vvdash, \nvdash, \nVdash, \nvDash, \nVDash	$$\Vvdash ,⊬,⊮,⊭,⊯$$
\ulcorner, \urcorner, \llcorner, \lrcorner	$$┌,┐,└,┘$$
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)	$$\left(\begin{array}{cc}a& b\\ c& d\end{array}\right)$$
Matrices And Determinants
\det(\mathsf{A}-\lambda\mathsf{I}) = 0	$$\det (𝖠-\lambda 𝖨)=0$$
Mixed
\left [ 0,1 \right )	$$\left[\mathrm{0,1}\right)$$
\left \langle \psi \right |	$$⟨\psi |$$
Mixed Faces
x y z	$$xyz$$
\text{x y z}	$$\text{x y z}$$
\text{if} n \text{is even}	$$\text{if}n\text{is even}$$
\text{if }n\text{ is even}	$$\text{if }n\text{ is even}$$
\text{if}~n\ \text{is even}	$$\text{if}n\text{is even}$$
Modular Arithmetic
s_k \equiv 0 \pmod{m}	$$s_k\equiv 0(\mathrm{mod}m)$$
a \bmod b	$$a\mathrm{mod}b$$
\gcd(m, n), \operatorname{lcm}(m, n)	$$\gcd (m,n),\mathrm{lcm}(m,n)$$
\mid, \nmid, \shortmid, \nshortmid	$$\mid ,\nmid ,\mid ,\nmid$$
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}	$$\begin{array}{cc}f(x)& =(a-b{)}^2\\ & =a^2-2ab+b^2\\ \end{array}$$
\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}	$$\begin{array}{cccc}f(a,b)& =(a+b{)}^2& & =(a+b)(a+b)\\ & =a^2+ab+ba+b^2& & =a^2+2ab+b^2\\ \end{array}$$
\begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$$\begin{array}{ccc}z& =& a\\ f(x,y,z)& =& x+y+z\end{array}$$
\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array}	$$\begin{array}{ccc}z& =& a\\ f(x,y,z)& =& x+y+z\end{array}$$
\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{alignat}{4} F:\; && C(X) && \;\to\; && C(X) \\ && g && \;\mapsto\; && g^2 \end{alignat}	$$\begin{array}{ccccccc}F:& & C(X)& & \to & & C(X)\\ & & g& & \mapsto & & g^2\end{array}$$
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}	$$\begin{array}{cccc}u& =\frac{1}{\sqrt{2}}(x+y)& x& =\frac{1}{\sqrt{2}}(u+v)\\ \\ v& =\frac{1}{\sqrt{2}}(x-y)& y& =\frac{1}{\sqrt{2}}(u-v)\end{array}$$
No Delimiter
\left . \frac{A}{B} \right \} \to X	$$\frac{A}{B}\}\to X$$
Operators
+, -, \pm, \mp, \dotplus	$$+,-,\pm ,\mp ,\dotplus$$
\times, \div, \divideontimes, /, \backslash	$$\times ,÷,\divideontimes ,/,\backslash$$
\cdot, * \ast, \star, \circ, \bullet	$$\cdot ,\ast *,\star ,\circ ,\bullet$$
\boxplus, \boxminus, \boxtimes, \boxdot	$$⊞,\boxminus ,⊠,⊡$$
\oplus, \ominus, \otimes, \oslash, \odot	$$\oplus ,\ominus ,\otimes ,\oslash ,\odot$$
\circleddash, \circledcirc, \circledast	$$⊝,⊚,⊛$$
\bigoplus, \bigotimes, \bigodot	$$⨁,⨂,⨀$$
Overbraces
\overbrace{ 1+2+\cdots+100 }^{5050}	$$\stackrel{5050}{\overbrace{1+2+\cdots +100}}$$
\underbrace{ a+b+\cdots+z }_{26}	$$\underset{26}{\underbrace{a+b+\cdots +z}}$$
Parentheses
\left ( \frac{a}{b} \right )	$$\left(\frac{a}{b}\right)$$
Preceding And Or Additional
{}_1^2\!\Omega_3^4	$${}_1^2{\mathrm{\Omega }}_3^4$$
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!}	$${}_p{F}_q(a_1,\dots ,a_p;c_1,\dots ,c_q;z)=\sum _{n=0}^{\infty }\frac{(a_1{)}_n\cdots (a_p{)}_n}{(c_1{)}_n\cdots (c_q{)}_n}\frac{z^n}{n!}$$
Product
\prod_{i=1}^N x_i	$$\prod _{i=1}^N{x}_i$$
\textstyle \prod_{i=1}^N x_i	$${\prod }_{i=1}^N{x}_i$$
Projections
\Pr j, \hom l, \lVert z \rVert, \arg z	$$\mathrm{Pr}j,\mathrm{hom}l,\Vert z\Vert ,\arg z$$
Quadratic Formula
x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}	$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Quadratic Polynomial
ax^2 + bx + c = 0	$$a{x}^2+bx+c=0$$
Quadruple Integral
\iiiint\limits_{D} dx\,dy\,dz\,dt	$$\underset{D}{⨌}dxdydzdt$$
Radicals
\surd, \sqrt{2}, \sqrt[n]{2}, \sqrt[3]{\frac{x^3+y^3}{2}}	$$\sqrt{},\sqrt{2},\sqrt[n]{2},\sqrt[3]{\frac{x^3+y^3}{2}}$$
Relations
=, \ne, \neq, \equiv, \not\equiv	$$=,\ne ,\ne ,\equiv ,\equiv ̸$$
\doteq, \doteqdot, \overset{\underset{\mathrm{def}}{}}{=}, :=	$$\doteq ,\doteqdot ,\stackrel{\underset{\mathrm{d}\mathrm{e}\mathrm{f}}{}}{=},:=$$
\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	$$⩽,\nleqq ,⪕$$
\geqslant, \ngeqslant, \eqslantgtr	$$⩾,\ngeqq ,⪖$$
\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	$$\succsim ,⋩,⪸,⪺$$
Roman Typeface
\mathrm{ABCDEFGHI}	$$\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}\mathrm{E}\mathrm{F}\mathrm{G}\mathrm{H}\mathrm{I}$$
\mathrm{JKLMNOPQR}	$$\mathrm{J}\mathrm{K}\mathrm{L}\mathrm{M}\mathrm{N}\mathrm{O}\mathrm{P}\mathrm{Q}\mathrm{R}$$
\mathrm{STUVWXYZ}	$$\mathrm{S}\mathrm{T}\mathrm{U}\mathrm{V}\mathrm{W}\mathrm{X}\mathrm{Y}\mathrm{Z}$$
\mathrm{abcdefghijklm}	$$\mathrm{a}\mathrm{b}\mathrm{c}\mathrm{d}\mathrm{e}\mathrm{f}\mathrm{g}\mathrm{h}\mathrm{i}\mathrm{j}\mathrm{k}\mathrm{l}\mathrm{m}$$
\mathrm{nopqrstuvwxyz}	$$\mathrm{n}\mathrm{o}\mathrm{p}\mathrm{q}\mathrm{r}\mathrm{s}\mathrm{t}\mathrm{u}\mathrm{v}\mathrm{w}\mathrm{x}\mathrm{y}\mathrm{z}$$
\mathrm{0123456789}	$$0123456789$$
Sans Serif
\mathsf{ABCDEFGHI}	$$𝖠𝖡𝖢𝖣𝖤𝖥𝖦𝖧𝖨$$
\mathsf{JKLMNOPQR}	$$𝖩𝖪𝖫𝖬𝖭𝖮𝖯𝖰𝖱$$
\mathsf{STUVWXYZ}	$$𝖲𝖳𝖴𝖵𝖶𝖷𝖸𝖹$$
\mathsf{abcdefghijklm}	$$𝖺𝖻𝖼𝖽𝖾𝖿𝗀𝗁𝗂𝗃𝗄𝗅𝗆$$
\mathsf{nopqrstuvwxyz}	$$𝗇𝗈𝗉𝗊𝗋𝗌𝗍𝗎𝗏𝗐𝗑𝗒𝗓$$
\mathsf{0123456789}	$$\mathrm{𝟢𝟣𝟤𝟥𝟦𝟧𝟨𝟩𝟪𝟫}$$
Sans Serif Greek
\mathsf{\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta}	$${\rm A}{\rm B}\Gamma \Delta {\rm E}{\rm Z}{\rm H}\Theta$$
\mathsf{\Iota \Kappa \Lambda \Mu \Nu \Xi \Omicron \Pi}	$${\rm I}{\rm K}\Lambda {\rm M}{\rm N}\Xi {\rm O}\Pi$$
\mathsf{\Rho \Sigma \Tau \Upsilon \Phi \Chi \Psi \Omega}	$${\rm P}\Sigma {\rm T}{\rm Y}\Phi {\rm X}\Psi \Omega$$
Sets
\{ \}, \emptyset, \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	$$⫆,⊉,⫌,⫌︀$$
Slashes And Backslashes
\left / \frac{a}{b} \right \backslash	$$/\frac{a}{b}\backslash$$
Small Script
{\scriptstyle\text{abcdefghijklm}}	$$\text{abcdefghijklm}$$
Special
\amalg \P \S \% \dagger \ddagger \ldots \cdots \vdots \ddots	$$⨿\P \S \%†‡\dots \cdots ⋮\ddots$$
\smile \frown \wr \triangleleft \triangleright	$$⌣⌢\wr ◃▹$$
\diamondsuit, \heartsuit, \clubsuit, \spadesuit, \Game, \flat, \natural, \sharp	$$♢,♡,♣,♠,\gimel ,♭,♮,♯$$
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}	$$\stackrel{\alpha }{\omega }$$
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)	$$\min (x,y),\max (x,y)$$
Subscript
a_2	$$a_2$$
Sum
\sum_{k=1}^N k^2	$$\sum _{k=1}^N{k}^2$$
\textstyle \sum_{k=1}^N k^2	$${\sum }_{k=1}^N{k}^2$$
Sum In Fraction
\frac{\sum_{k=1}^N k^2}{a}	$$\frac{\sum _{k=1}^N{k}^2}{a}$$
\frac{\displaystyle \sum_{k=1}^N k^2}{a}	$$\frac{\sum _{k=1}^N{k}^2}{a}$$
\frac{\sum\limits^{N}_{k=1} k^2}{a}	$$\frac{\sum _{k=1}^N{k}^2}{a}$$
Summation
\sum_{i=0}^{n-1} i	$$\sum _{i=0}^{n-1}i$$
\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2 n}{3^m\left(m 3^n + n 3^m\right)}	$$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }\frac{m^{2}n}{3^m(m{3}^n+n{3}^m)}$$
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)	$$2=\left(\frac{(3-x)\times 2}{3-x}\right)$$
S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}	$$S_{\text{new}}=S_{\text{old}}-\frac{{(5-T)}^2}{2}$$
\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}	$${\varphi }_n(\kappa )=0.033C_n^2{\kappa }^{-11/3},\frac{1}{L_0}\ll \kappa \ll \frac{1}{l_0}$$
Triple Integral
\iiint\limits_{D} dx\,dy\,dz	$$\underset{D}{\iiint }dxdydz$$
Underline Overline Vectors
\hat a \ \bar b \ \vec c	$$\hat{a}\bar{b}\overrightarrow{c}$$
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}	$$\overrightarrow{ab}\overleftarrow{cd}\widehat{def}$$
\overline{g h i} \ \underline{j k l}	$$\overline{ghi}\underset{\_}{jkl}$$
Unions
\bigcup_{i=1}^n E_i	$$\bigcup _{i=1}^n{E}_i$$
Unsorted
\diagup \diagdown \centerdot \ltimes \rtimes \leftthreetimes \rightthreetimes	$$╱╲·⋉⋊⋋⋌$$
\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	$$⊴⋬⊵⋭$$
Up Down Updown Arrows
\left \uparrow \frac{a}{b} \right \downarrow	$$\uparrow \frac{a}{b}\downarrow$$
\left \Uparrow \frac{a}{b} \right \Downarrow	$$\Uparrow \frac{a}{b}\Downarrow$$
\left \updownarrow \frac{a}{b} \right \Updownarrow	$$\updownarrow \frac{a}{b}\Updownarrow$$
Volume Of Sphere Stand
V = \frac{1}{6} \pi h \left [ 3 \left ( r_1^2 + r_2^2 \right ) + h^2 \right ]	$$V=\frac{1}{6}\pi h[3(r_1^2+r_2^2)+h^2]$$