Appendix B: Math Symbol Reference¶

Subscripts and superscripts¶

Command	Result
$alpha_i > beta_i$	$\alpha_i > \beta_i$
$alpha^2 > beta_i^a$	$\alpha^2 > \beta_i^a$

Fractions, binomials and stacked numbers¶

$\frac{3}{4}$

$\frac{3}{4}$

$\binom{3}{4}$

$\binom{3}{4}$

$\stackrel{3}{4}$

$\stackrel{3}{4}$

$\frac{5 - \frac{1}{x}}{4}$

$\frac{5 - \frac{1}{x}}{4}$

Using parenthesis properly¶

$(\frac{5 - \frac{1}{x}}{4})$

$(\frac{5 - \frac{1}{x}}{4})$

Notice how the parenthesis do not properly wrap the object inside. To address this, use the \left and \right qualifiers in front of your parenthesis.

$\left(\frac{5 - \frac{1}{x}}{4}\right)$

$\left(\frac{5 - \frac{1}{x}}{4}\right)$

Radicals¶

$\sqrt{2}$

$\sqrt{2}$

$\sqrt[3]{x}$

$\sqrt[3]{x}$

Accents¶

Command	Result
`\acute a` or `\'a`	$\acute a$
`\bar a`	$\bar a$
`\breve a`	$\breve a$
`\ddot a` or `\"a`	$\ddot a$
`\dot a` or `\.a`	$\dot a$
`\grave a` or \`a	$\grave a$
`\hat a` or `\^a`	$\hat a$
`\tilde a` or `\~a`	$\tilde a$
`\vec a`	$\vec a$
`\widehat{xyz}`	$\widehat{xyz}$
`\widetilde{xyz}`	$\widetilde{xyz}$

Symbols¶

Lower-case Greek

$\alpha$ \alpha

$\beta$ \beta

$\chi$ \chi

$\delta$ \delta

$\digamma$ \digamma

$\epsilon$ \epsilon

$\eta$ \eta

$\gamma$ \gamma

$\iota$ \iota

$\kappa$ \kappa

$\lambda$ \lambda

$\mu$ \mu

$\nu$ \nu

$\omega$ \omega

$\phi$ \phi

$\pi$ \pi

$\psi$ \psi

$\rho$ \rho

$\sigma$ \sigma

$\tau$ \tau

$\theta$ \theta

$\upsilon$ \upsilon

$\varepsilon$ \varepsilon

$\varkappa$ \varkappa

$\varphi$ \varphi

$\varpi$ \varpi

$\varrho$ \varrho

$\varsigma$ \varsigma

$\vartheta$ \vartheta

$\xi$ \xi

$\zeta$ \zeta

Upper-case Greek

$\Delta$ \Delta

$\Gamma$ \Gamma

$\Lambda$ \Lambda

$\Omega$ \Omega

$\Phi$ \Phi

$\Pi$ \Pi

$\Psi$ \Psi

$\Sigma$ \Sigma

$\Theta$ \Theta

$\Upsilon$ \Upsilon

$\Xi$ \Xi

$\mho$ \mho

$\nabla$ \nabla

Hebrew

$\aleph$ \aleph

$\beth$ \beth

$\daleth$ \daleth

$\gimel$ \gimel

Delimiters

$/$ /

$[$ [

$\Downarrow$ \Downarrow

$\Uparrow$ \Uparrow

$\Vert$ \Vert

$\backslash$ \backslash

$\downarrow$ \downarrow

$\langle$ \langle

$\lceil$ \lceil

$\lfloor$ \lfloor

$\llcorner$ \llcorner

$\lrcorner$ \lrcorner

$\rangle$ \rangle

$\rceil$ \rceil

$\rfloor$ \rfloor

$\ulcorner$ \ulcorner

$\uparrow$ \uparrow

$\urcorner$ \urcorner

$\vert$ \vert

$\{$ \{

$\|$ \|

$\}$ \}

$]$ ]

$|$ |

Big symbols

$\bigcap$ \bigcap

$\bigcup$ \bigcup

$\bigodot$ \bigodot

$\bigoplus$ \bigoplus

$\bigotimes$ \bigotimes

$\biguplus$ \biguplus

$\bigvee$ \bigvee

$\bigwedge$ \bigwedge

$\coprod$ \coprod

$\int$ \int

$\oint$ \oint

$\prod$ \prod

$\sum$ \sum

Standard function names

$\Pr$ \Pr

$\arccos$ \arccos

$\arcsin$ \arcsin

$\arctan$ \arctan

$\arg$ \arg

$\cos$ \cos

$\cosh$ \cosh

$\cot$ \cot

$\coth$ \coth

$\csc$ \csc

$\deg$ \deg

$\det$ \det

$\dim$ \dim

$\exp$ \exp

$\gcd$ \gcd

$\hom$ \hom

$\inf$ \inf

$\ker$ \ker

$\lg$ \lg

$\lim$ \lim

$\liminf$ \liminf

$\limsup$ \limsup

$\ln$ \ln

$\log$ \log

$\max$ \max

$\min$ \min

$\sec$ \sec

$\sin$ \sin

$\sinh$ \sinh

$\sup$ \sup

$\tan$ \tan

$\tanh$ \tanh

Binary operation and relation symbols

$\Bumpeq$ \Bumpeq

$\Cap$ \Cap

$\Cup$ \Cup

$\Doteq$ \Doteq

$\Join$ \Join

$\Subset$ \Subset

$\Supset$ \Supset

$\Vdash$ \Vdash

$\Vvdash$ \Vvdash

$\approx$ \approx

$\approxeq$ \approxeq

$\ast$ \ast

$\asymp$ \asymp

$\backepsilon$ \backepsilon

$\backsim$ \backsim

$\backsimeq$ \backsimeq

$\barwedge$ \barwedge

$\because$ \because

$\between$ \between

$\bigcirc$ \bigcirc

$\bigtriangledown$ \bigtriangledown

$\bigtriangleup$ \bigtriangleup

$\blacktriangleleft$ \blacktriangleleft

$\blacktriangleright$ \blacktriangleright

$\bot$ \bot

$\bowtie$ \bowtie

$\boxdot$ \boxdot

$\boxminus$ \boxminus

$\boxplus$ \boxplus

$\boxtimes$ \boxtimes

$\bullet$ \bullet

$\bumpeq$ \bumpeq

$\cap$ \cap

$\cdot$ \cdot

$\circ$ \circ

$\circeq$ \circeq

$\coloneq$ \coloneq

$\cong$ \cong

$\cup$ \cup

$\curlyeqprec$ \curlyeqprec

$\curlyeqsucc$ \curlyeqsucc

$\curlyvee$ \curlyvee

$\curlywedge$ \curlywedge

$\dag$ \dag

$\dashv$ \dashv

$\ddag$ \ddag

$\diamond$ \diamond

$\div$ \div

$\divideontimes$ \divideontimes

$\doteq$ \doteq

$\doteqdot$ \doteqdot

$\dotplus$ \dotplus

$\doublebarwedge$ \doublebarwedge

$\eqcirc$ \eqcirc

$\eqcolon$ \eqcolon

$\eqsim$ \eqsim

$\eqslantgtr$ \eqslantgtr

$\eqslantless$ \eqslantless

$\equiv$ \equiv

$\fallingdotseq$ \fallingdotseq

$\frown$ \frown

$\geq$ \geq

$\geqq$ \geqq

$\geqslant$ \geqslant

$\gg$ \gg

$\ggg$ \ggg

$\gnapprox$ \gnapprox

$\gneqq$ \gneqq

$\gnsim$ \gnsim

$\gtrapprox$ \gtrapprox

$\gtrdot$ \gtrdot

$\gtreqless$ \gtreqless

$\gtreqqless$ \gtreqqless

$\gtrless$ \gtrless

$\gtrsim$ \gtrsim

$\in$ \in

$\intercal$ \intercal

$\leftthreetimes$ \leftthreetimes

$\leq$ \leq

$\leqq$ \leqq

$\leqslant$ \leqslant

$\lessapprox$ \lessapprox

$\lessdot$ \lessdot

$\lesseqgtr$ \lesseqgtr

$\lesseqqgtr$ \lesseqqgtr

$\lessgtr$ \lessgtr

$\lesssim$ \lesssim

$\ll$ \ll

$\lll$ \lll

$\lnapprox$ \lnapprox

$\lneqq$ \lneqq

$\lnsim$ \lnsim

$\ltimes$ \ltimes

$\mid$ \mid

$\models$ \models

$\mp$ \mp

$\nVDash$ \nVDash

$\nVdash$ \nVdash

$\napprox$ \napprox

$\ncong$ \ncong

$\ne$ \ne

$\neq$ \neq

$\neq$ \neq

$\nequiv$ \nequiv

$\ngeq$ \ngeq

$\ngtr$ \ngtr

$\ni$ \ni

$\nleq$ \nleq

$\nless$ \nless

$\nmid$ \nmid

$\notin$ \notin

$\nparallel$ \nparallel

$\nprec$ \nprec

$\nsim$ \nsim

$\nsubset$ \nsubset

$\nsubseteq$ \nsubseteq

$\nsucc$ \nsucc

$\nsupset$ \nsupset

$\nsupseteq$ \nsupseteq

$\ntriangleleft$ \ntriangleleft

$\ntrianglelefteq$ \ntrianglelefteq

$\ntriangleright$ \ntriangleright

$\ntrianglerighteq$ \ntrianglerighteq

$\nvDash$ \nvDash

$\nvdash$ \nvdash

$\odot$ \odot

$\ominus$ \ominus

$\oplus$ \oplus

$\oslash$ \oslash

$\otimes$ \otimes

$\parallel$ \parallel

$\perp$ \perp

$\pitchfork$ \pitchfork

$\pm$ \pm

$\prec$ \prec

$\precapprox$ \precapprox

$\preccurlyeq$ \preccurlyeq

$\preceq$ \preceq

$\precnapprox$ \precnapprox

$\precnsim$ \precnsim

$\precsim$ \precsim

$\propto$ \propto

$\rightthreetimes$ \rightthreetimes

$\risingdotseq$ \risingdotseq

$\rtimes$ \rtimes

$\sim$ \sim

$\simeq$ \simeq

$\slash$ \slash

$\smile$ \smile

$\sqcap$ \sqcap

$\sqcup$ \sqcup

$\sqsubset$ \sqsubset

$\sqsubset$ \sqsubset

$\sqsubseteq$ \sqsubseteq

$\sqsupset$ \sqsupset

$\sqsupset$ \sqsupset

$\sqsupseteq$ \sqsupseteq

$\star$ \star

$\subset$ \subset

$\subseteq$ \subseteq

$\subseteqq$ \subseteqq

$\subsetneq$ \subsetneq

$\subsetneqq$ \subsetneqq

$\succ$ \succ

$\succapprox$ \succapprox

$\succcurlyeq$ \succcurlyeq

$\succeq$ \succeq

$\succnapprox$ \succnapprox

$\succnsim$ \succnsim

$\succsim$ \succsim

$\supset$ \supset

$\supseteq$ \supseteq

$\supseteqq$ \supseteqq

$\supsetneq$ \supsetneq

$\supsetneqq$ \supsetneqq

$\therefore$ \therefore

$\times$ \times

$\top$ \top

$\triangleleft$ \triangleleft

$\trianglelefteq$ \trianglelefteq

$\triangleq$ \triangleq

$\triangleright$ \triangleright

$\trianglerighteq$ \trianglerighteq

$\uplus$ \uplus

$\vDash$ \vDash

$\varpropto$ \varpropto

$\vartriangleleft$ \vartriangleleft

$\vartriangleright$ \vartriangleright

$\vdash$ \vdash

$\vee$ \vee

$\veebar$ \veebar

$\wedge$ \wedge

$\wr$ \wr

Arrow symbols

$\Downarrow$ \Downarrow

$\Leftarrow$ \Leftarrow

$\Leftrightarrow$ \Leftrightarrow

$\Lleftarrow$ \Lleftarrow

$\Longleftarrow$ \Longleftarrow

$\Longleftrightarrow$ \Longleftrightarrow

$\Longrightarrow$ \Longrightarrow

$\Lsh$ \Lsh

$\Nearrow$ \Nearrow

$\Nwarrow$ \Nwarrow

$\Rightarrow$ \Rightarrow

$\Rrightarrow$ \Rrightarrow

$\Rsh$ \Rsh

$\Searrow$ \Searrow

$\Swarrow$ \Swarrow

$\Uparrow$ \Uparrow

$\Updownarrow$ \Updownarrow

$\circlearrowleft$ \circlearrowleft

$\circlearrowright$ \circlearrowright

$\curvearrowleft$ \curvearrowleft

$\curvearrowright$ \curvearrowright

$\dashleftarrow$ \dashleftarrow

$\dashrightarrow$ \dashrightarrow

$\downarrow$ \downarrow

$\downdownarrows$ \downdownarrows

$\downharpoonleft$ \downharpoonleft

$\downharpoonright$ \downharpoonright

$\hookleftarrow$ \hookleftarrow

$\hookrightarrow$ \hookrightarrow

$\leadsto$ \leadsto

$\leftarrow$ \leftarrow

$\leftarrowtail$ \leftarrowtail

$\leftharpoondown$ \leftharpoondown

$\leftharpoonup$ \leftharpoonup

$\leftleftarrows$ \leftleftarrows

$\leftrightarrow$ \leftrightarrow

$\leftrightarrows$ \leftrightarrows

$\leftrightharpoons$ \leftrightharpoons

$\leftrightsquigarrow$ \leftrightsquigarrow

$\leftsquigarrow$ \leftsquigarrow

$\longleftarrow$ \longleftarrow

$\longleftrightarrow$ \longleftrightarrow

$\longmapsto$ \longmapsto

$\longrightarrow$ \longrightarrow

$\looparrowleft$ \looparrowleft

$\looparrowright$ \looparrowright

$\mapsto$ \mapsto

$\multimap$ \multimap

$\nLeftarrow$ \nLeftarrow

$\nLeftrightarrow$ \nLeftrightarrow

$\nRightarrow$ \nRightarrow

$\nearrow$ \nearrow

$\nleftarrow$ \nleftarrow

$\nleftrightarrow$ \nleftrightarrow

$\nrightarrow$ \nrightarrow

$\nwarrow$ \nwarrow

$\rightarrow$ \rightarrow

$\rightarrowtail$ \rightarrowtail

$\rightharpoondown$ \rightharpoondown

$\rightharpoonup$ \rightharpoonup

$\rightleftarrows$ \rightleftarrows

$\rightleftarrows$ \rightleftarrows

$\rightleftharpoons$ \rightleftharpoons

$\rightleftharpoons$ \rightleftharpoons

$\rightrightarrows$ \rightrightarrows

$\rightrightarrows$ \rightrightarrows

$\rightsquigarrow$ \rightsquigarrow

$\searrow$ \searrow

$\swarrow$ \swarrow

$\to$ \to

$\twoheadleftarrow$ \twoheadleftarrow

$\twoheadrightarrow$ \twoheadrightarrow

$\uparrow$ \uparrow

$\updownarrow$ \updownarrow

$\updownarrow$ \updownarrow

$\upharpoonleft$ \upharpoonleft

$\upharpoonright$ \upharpoonright

$\upuparrows$ \upuparrows

Miscellaneous symbols

$\$$ \$

$\AA$ \AA

$\Finv$ \Finv

$\Game$ \Game

$\Im$ \Im

$\P$ \P

$\Re$ \Re

$\S$ \S

$\angle$ \angle

$\backprime$ \backprime

$\bigstar$ \bigstar

$\blacksquare$ \blacksquare

$\blacktriangle$ \blacktriangle

$\blacktriangledown$ \blacktriangledown

$\cdots$ \cdots

$\checkmark$ \checkmark

$\circledR$ \circledR

$\circledS$ \circledS

$\clubsuit$ \clubsuit

$\complement$ \complement

$\copyright$ \copyright

$\ddots$ \ddots

$\diamondsuit$ \diamondsuit

$\ell$ \ell

$\emptyset$ \emptyset

$\eth$ \eth

$\exists$ \exists

$\flat$ \flat

$\forall$ \forall

$\hbar$ \hbar

$\heartsuit$ \heartsuit

$\hslash$ \hslash

$\iiint$ \iiint

$\iint$ \iint

$\iint$ \iint

$\imath$ \imath

$\infty$ \infty

$\jmath$ \jmath

$\ldots$ \ldots

$\measuredangle$ \measuredangle

$\natural$ \natural

$\neg$ \neg

$\nexists$ \nexists

$\oiiint$ \oiiint

$\partial$ \partial

$\prime$ \prime

$\sharp$ \sharp

$\spadesuit$ \spadesuit

$\sphericalangle$ \sphericalangle

$\ss$ \ss

$\triangledown$ \triangledown

$\varnothing$ \varnothing

$\vartriangle$ \vartriangle

$\vdots$ \vdots

$\wp$ \wp

$\yen$ \yen

$\alpha$ `\alpha`	$\beta$ `\beta`	$\chi$ `\chi`	$\delta$ `\delta`	$\digamma$ `\digamma`
$\epsilon$ `\epsilon`	$\eta$ `\eta`	$\gamma$ `\gamma`	$\iota$ `\iota`	$\kappa$ `\kappa`
$\lambda$ `\lambda`	$\mu$ `\mu`	$\nu$ `\nu`	$\omega$ `\omega`	$\phi$ `\phi`
$\pi$ `\pi`	$\psi$ `\psi`	$\rho$ `\rho`	$\sigma$ `\sigma`	$\tau$ `\tau`
$\theta$ `\theta`	$\upsilon$ `\upsilon`	$\varepsilon$ `\varepsilon`	$\varkappa$ `\varkappa`	$\varphi$ `\varphi`
$\varpi$ `\varpi`	$\varrho$ `\varrho`	$\varsigma$ `\varsigma`	$\vartheta$ `\vartheta`	$\xi$ `\xi`
$\zeta$ `\zeta`

$/$ `/`	$[$ `[`	$\Downarrow$ `\Downarrow`	$\Uparrow$ `\Uparrow`	$\Vert$ `\Vert`	$\backslash$ `\backslash`
$\downarrow$ `\downarrow`	$\langle$ `\langle`	$\lceil$ `\lceil`	$\lfloor$ `\lfloor`	$\llcorner$ `\llcorner`	$\lrcorner$ `\lrcorner`
$\rangle$ `\rangle`	$\rceil$ `\rceil`	$\rfloor$ `\rfloor`	$\ulcorner$ `\ulcorner`	$\uparrow$ `\uparrow`	$\urcorner$ `\urcorner`
$\vert$ `\vert`	$\{$ `\{`	$\\|$ `\\|`	$\}$ `\}`	$]$ `]`	$\|$ `\|`

$\bigcap$ `\bigcap`	$\bigcup$ `\bigcup`	$\bigodot$ `\bigodot`	$\bigoplus$ `\bigoplus`	$\bigotimes$ `\bigotimes`
$\biguplus$ `\biguplus`	$\bigvee$ `\bigvee`	$\bigwedge$ `\bigwedge`	$\coprod$ `\coprod`	$\int$ `\int`
$\oint$ `\oint`	$\prod$ `\prod`	$\sum$ `\sum`

$\Pr$ `\Pr`	$\arccos$ `\arccos`	$\arcsin$ `\arcsin`	$\arctan$ `\arctan`
$\arg$ `\arg`	$\cos$ `\cos`	$\cosh$ `\cosh`	$\cot$ `\cot`
$\coth$ `\coth`	$\csc$ `\csc`	$\deg$ `\deg`	$\det$ `\det`
$\dim$ `\dim`	$\exp$ `\exp`	$\gcd$ `\gcd`	$\hom$ `\hom`
$\inf$ `\inf`	$\ker$ `\ker`	$\lg$ `\lg`	$\lim$ `\lim`
$\liminf$ `\liminf`	$\limsup$ `\limsup`	$\ln$ `\ln`	$\log$ `\log`
$\max$ `\max`	$\min$ `\min`	$\sec$ `\sec`	$\sin$ `\sin`
$\sinh$ `\sinh`	$\sup$ `\sup`	$\tan$ `\tan`	$\tanh$ `\tanh`

$\Bumpeq$ `\Bumpeq`	$\Cap$ `\Cap`	$\Cup$ `\Cup`
$\Doteq$ `\Doteq`	$\Join$ `\Join`	$\Subset$ `\Subset`
$\Supset$ `\Supset`	$\Vdash$ `\Vdash`	$\Vvdash$ `\Vvdash`
$\approx$ `\approx`	$\approxeq$ `\approxeq`	$\ast$ `\ast`
$\asymp$ `\asymp`	$\backepsilon$ `\backepsilon`	$\backsim$ `\backsim`
$\backsimeq$ `\backsimeq`	$\barwedge$ `\barwedge`	$\because$ `\because`
$\between$ `\between`	$\bigcirc$ `\bigcirc`	$\bigtriangledown$ `\bigtriangledown`
$\bigtriangleup$ `\bigtriangleup`	$\blacktriangleleft$ `\blacktriangleleft`	$\blacktriangleright$ `\blacktriangleright`
$\bot$ `\bot`	$\bowtie$ `\bowtie`	$\boxdot$ `\boxdot`
$\boxminus$ `\boxminus`	$\boxplus$ `\boxplus`	$\boxtimes$ `\boxtimes`
$\bullet$ `\bullet`	$\bumpeq$ `\bumpeq`	$\cap$ `\cap`
$\cdot$ `\cdot`	$\circ$ `\circ`	$\circeq$ `\circeq`
$\coloneq$ `\coloneq`	$\cong$ `\cong`	$\cup$ `\cup`
$\curlyeqprec$ `\curlyeqprec`	$\curlyeqsucc$ `\curlyeqsucc`	$\curlyvee$ `\curlyvee`
$\curlywedge$ `\curlywedge`	$\dag$ `\dag`	$\dashv$ `\dashv`
$\ddag$ `\ddag`	$\diamond$ `\diamond`	$\div$ `\div`
$\divideontimes$ `\divideontimes`	$\doteq$ `\doteq`	$\doteqdot$ `\doteqdot`
$\dotplus$ `\dotplus`	$\doublebarwedge$ `\doublebarwedge`	$\eqcirc$ `\eqcirc`
$\eqcolon$ `\eqcolon`	$\eqsim$ `\eqsim`	$\eqslantgtr$ `\eqslantgtr`
$\eqslantless$ `\eqslantless`	$\equiv$ `\equiv`	$\fallingdotseq$ `\fallingdotseq`

$\frown$ `\frown`	$\geq$ `\geq`	$\geqq$ `\geqq`
$\geqslant$ `\geqslant`	$\gg$ `\gg`	$\ggg$ `\ggg`
$\gnapprox$ `\gnapprox`	$\gneqq$ `\gneqq`	$\gnsim$ `\gnsim`
$\gtrapprox$ `\gtrapprox`	$\gtrdot$ `\gtrdot`	$\gtreqless$ `\gtreqless`
$\gtreqqless$ `\gtreqqless`	$\gtrless$ `\gtrless`	$\gtrsim$ `\gtrsim`
$\in$ `\in`	$\intercal$ `\intercal`	$\leftthreetimes$ `\leftthreetimes`
$\leq$ `\leq`	$\leqq$ `\leqq`	$\leqslant$ `\leqslant`
$\lessapprox$ `\lessapprox`	$\lessdot$ `\lessdot`	$\lesseqgtr$ `\lesseqgtr`
$\lesseqqgtr$ `\lesseqqgtr`	$\lessgtr$ `\lessgtr`	$\lesssim$ `\lesssim`
$\ll$ `\ll`	$\lll$ `\lll`	$\lnapprox$ `\lnapprox`
$\lneqq$ `\lneqq`	$\lnsim$ `\lnsim`	$\ltimes$ `\ltimes`
$\mid$ `\mid`	$\models$ `\models`	$\mp$ `\mp`
$\nVDash$ `\nVDash`	$\nVdash$ `\nVdash`	$\napprox$ `\napprox`
$\ncong$ `\ncong`	$\ne$ `\ne`	$\neq$ `\neq`
$\neq$ `\neq`	$\nequiv$ `\nequiv`	$\ngeq$ `\ngeq`
$\ngtr$ `\ngtr`	$\ni$ `\ni`	$\nleq$ `\nleq`
$\nless$ `\nless`	$\nmid$ `\nmid`	$\notin$ `\notin`
$\nparallel$ `\nparallel`	$\nprec$ `\nprec`	$\nsim$ `\nsim`
$\nsubset$ `\nsubset`	$\nsubseteq$ `\nsubseteq`	$\nsucc$ `\nsucc`
$\nsupset$ `\nsupset`	$\nsupseteq$ `\nsupseteq`	$\ntriangleleft$ `\ntriangleleft`

$\ntrianglelefteq$ `\ntrianglelefteq`	$\ntriangleright$ `\ntriangleright`	$\ntrianglerighteq$ `\ntrianglerighteq`
$\nvDash$ `\nvDash`	$\nvdash$ `\nvdash`	$\odot$ `\odot`
$\ominus$ `\ominus`	$\oplus$ `\oplus`	$\oslash$ `\oslash`
$\otimes$ `\otimes`	$\parallel$ `\parallel`	$\perp$ `\perp`
$\pitchfork$ `\pitchfork`	$\pm$ `\pm`	$\prec$ `\prec`
$\precapprox$ `\precapprox`	$\preccurlyeq$ `\preccurlyeq`	$\preceq$ `\preceq`
$\precnapprox$ `\precnapprox`	$\precnsim$ `\precnsim`	$\precsim$ `\precsim`
$\propto$ `\propto`	$\rightthreetimes$ `\rightthreetimes`	$\risingdotseq$ `\risingdotseq`
$\rtimes$ `\rtimes`	$\sim$ `\sim`	$\simeq$ `\simeq`
$\slash$ `\slash`	$\smile$ `\smile`	$\sqcap$ `\sqcap`
$\sqcup$ `\sqcup`	$\sqsubset$ `\sqsubset`	$\sqsubset$ `\sqsubset`
$\sqsubseteq$ `\sqsubseteq`	$\sqsupset$ `\sqsupset`	$\sqsupset$ `\sqsupset`
$\sqsupseteq$ `\sqsupseteq`	$\star$ `\star`	$\subset$ `\subset`
$\subseteq$ `\subseteq`	$\subseteqq$ `\subseteqq`	$\subsetneq$ `\subsetneq`
$\subsetneqq$ `\subsetneqq`	$\succ$ `\succ`	$\succapprox$ `\succapprox`
$\succcurlyeq$ `\succcurlyeq`	$\succeq$ `\succeq`	$\succnapprox$ `\succnapprox`
$\succnsim$ `\succnsim`	$\succsim$ `\succsim`	$\supset$ `\supset`
$\supseteq$ `\supseteq`	$\supseteqq$ `\supseteqq`	$\supsetneq$ `\supsetneq`
$\supsetneqq$ `\supsetneqq`	$\therefore$ `\therefore`	$\times$ `\times`
$\top$ `\top`	$\triangleleft$ `\triangleleft`	$\trianglelefteq$ `\trianglelefteq`

$\triangleq$ `\triangleq`	$\triangleright$ `\triangleright`	$\trianglerighteq$ `\trianglerighteq`
$\uplus$ `\uplus`	$\vDash$ `\vDash`	$\varpropto$ `\varpropto`
$\vartriangleleft$ `\vartriangleleft`	$\vartriangleright$ `\vartriangleright`	$\vdash$ `\vdash`
$\vee$ `\vee`	$\veebar$ `\veebar`	$\wedge$ `\wedge`
$\wr$ `\wr`

$\Downarrow$ `\Downarrow`	$\Leftarrow$ `\Leftarrow`
$\Leftrightarrow$ `\Leftrightarrow`	$\Lleftarrow$ `\Lleftarrow`
$\Longleftarrow$ `\Longleftarrow`	$\Longleftrightarrow$ `\Longleftrightarrow`
$\Longrightarrow$ `\Longrightarrow`	$\Lsh$ `\Lsh`
$\Nearrow$ `\Nearrow`	$\Nwarrow$ `\Nwarrow`
$\Rightarrow$ `\Rightarrow`	$\Rrightarrow$ `\Rrightarrow`
$\Rsh$ `\Rsh`	$\Searrow$ `\Searrow`
$\Swarrow$ `\Swarrow`	$\Uparrow$ `\Uparrow`
$\Updownarrow$ `\Updownarrow`	$\circlearrowleft$ `\circlearrowleft`
$\circlearrowright$ `\circlearrowright`	$\curvearrowleft$ `\curvearrowleft`
$\curvearrowright$ `\curvearrowright`	$\dashleftarrow$ `\dashleftarrow`
$\dashrightarrow$ `\dashrightarrow`	$\downarrow$ `\downarrow`
$\downdownarrows$ `\downdownarrows`	$\downharpoonleft$ `\downharpoonleft`
$\downharpoonright$ `\downharpoonright`	$\hookleftarrow$ `\hookleftarrow`
$\hookrightarrow$ `\hookrightarrow`	$\leadsto$ `\leadsto`
$\leftarrow$ `\leftarrow`	$\leftarrowtail$ `\leftarrowtail`
$\leftharpoondown$ `\leftharpoondown`	$\leftharpoonup$ `\leftharpoonup`
$\leftleftarrows$ `\leftleftarrows`	$\leftrightarrow$ `\leftrightarrow`
$\leftrightarrows$ `\leftrightarrows`	$\leftrightharpoons$ `\leftrightharpoons`
$\leftrightsquigarrow$ `\leftrightsquigarrow`	$\leftsquigarrow$ `\leftsquigarrow`

$\longleftarrow$ `\longleftarrow`	$\longleftrightarrow$ `\longleftrightarrow`
$\longmapsto$ `\longmapsto`	$\longrightarrow$ `\longrightarrow`
$\looparrowleft$ `\looparrowleft`	$\looparrowright$ `\looparrowright`
$\mapsto$ `\mapsto`	$\multimap$ `\multimap`
$\nLeftarrow$ `\nLeftarrow`	$\nLeftrightarrow$ `\nLeftrightarrow`
$\nRightarrow$ `\nRightarrow`	$\nearrow$ `\nearrow`
$\nleftarrow$ `\nleftarrow`	$\nleftrightarrow$ `\nleftrightarrow`
$\nrightarrow$ `\nrightarrow`	$\nwarrow$ `\nwarrow`
$\rightarrow$ `\rightarrow`	$\rightarrowtail$ `\rightarrowtail`
$\rightharpoondown$ `\rightharpoondown`	$\rightharpoonup$ `\rightharpoonup`
$\rightleftarrows$ `\rightleftarrows`	$\rightleftarrows$ `\rightleftarrows`
$\rightleftharpoons$ `\rightleftharpoons`	$\rightleftharpoons$ `\rightleftharpoons`
$\rightrightarrows$ `\rightrightarrows`	$\rightrightarrows$ `\rightrightarrows`
$\rightsquigarrow$ `\rightsquigarrow`	$\searrow$ `\searrow`
$\swarrow$ `\swarrow`	$\to$ `\to`
$\twoheadleftarrow$ `\twoheadleftarrow`	$\twoheadrightarrow$ `\twoheadrightarrow`
$\uparrow$ `\uparrow`	$\updownarrow$ `\updownarrow`
$\updownarrow$ `\updownarrow`	$\upharpoonleft$ `\upharpoonleft`
$\upharpoonright$ `\upharpoonright`	$\upuparrows$ `\upuparrows`

$\$$ `\$`	$\AA$ `\AA`	$\Finv$ `\Finv`
$\Game$ `\Game`	$\Im$ `\Im`	$\P$ `\P`
$\Re$ `\Re`	$\S$ `\S`	$\angle$ `\angle`
$\backprime$ `\backprime`	$\bigstar$ `\bigstar`	$\blacksquare$ `\blacksquare`
$\blacktriangle$ `\blacktriangle`	$\blacktriangledown$ `\blacktriangledown`	$\cdots$ `\cdots`
$\checkmark$ `\checkmark`	$\circledR$ `\circledR`	$\circledS$ `\circledS`
$\clubsuit$ `\clubsuit`	$\complement$ `\complement`	$\copyright$ `\copyright`
$\ddots$ `\ddots`	$\diamondsuit$ `\diamondsuit`	$\ell$ `\ell`
$\emptyset$ `\emptyset`	$\eth$ `\eth`	$\exists$ `\exists`
$\flat$ `\flat`	$\forall$ `\forall`	$\hbar$ `\hbar`
$\heartsuit$ `\heartsuit`	$\hslash$ `\hslash`	$\iiint$ `\iiint`
$\iint$ `\iint`	$\iint$ `\iint`	$\imath$ `\imath`
$\infty$ `\infty`	$\jmath$ `\jmath`	$\ldots$ `\ldots`
$\measuredangle$ `\measuredangle`	$\natural$ `\natural`	$\neg$ `\neg`
$\nexists$ `\nexists`	$\oiiint$ `\oiiint`	$\partial$ `\partial`
$\prime$ `\prime`	$\sharp$ `\sharp`	$\spadesuit$ `\spadesuit`
$\sphericalangle$ `\sphericalangle`	$\ss$ `\ss`	$\triangledown$ `\triangledown`
$\varnothing$ `\varnothing`	$\vartriangle$ `\vartriangle`	$\vdots$ `\vdots`
$\wp$ `\wp`	$\yen$ `\yen`