CurveExpert Basic 2.2.3 documentation

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