Equations Guide
In order to better present mathematical equations, Flashcard Machine provides a tool that allows the user to write LaTeX code. We have provided examples and common equations below to help you get started. For a complete list of supported commands, click the All Commands tab.
You can create equations using LaTeX code by clicking on the Equations tab on the My Flashcards screen or by clicking the function icon within the Quick Editor. Enter your code in the LaTeX code field and click Show Equation to see the visual representation of the equation
Greek and Hebrew Letters
\Delta
\Gamma
\Lambda
\Omega
\Phi
\Pi
\Psi
\Sigma
\Theta
\Upsilon
\Xi
\aleph
\alpha
\beta
\beth
\chi
\daleth
\delta
\digamma
\epsilon
\eta
\gamma
\gimel
\iota
\kappa
\lambda
\mu
\nu
\omega
\phi
\pi
\psi
\rho
\sigma
\tau
\theta
\upsilon
\varepsilon
\varkappa
\varphi
\varpi
\varrho
\varsigma
\vartheta
\xi
\zeta
Math Constructs
\frac{abc}{xyz}
\overbrace{abc}
\overleftarrow{abc}
\overline{abc}
\overrightarrow{abc}
\sqrt[n]{abc}
\sqrt{abc}
\underbrace{abc}
\underline{abc}
\widehat{abc}
\widetilde{abc}
Delimeters
\Downarrow
\Uparrow
\Vert
\backslash
\downarrow
\langle
\lceil
\lfloor
\llcorner
\lrcorner
\rangle
\rceil
\rfloor
\ulcorner
\uparrow
\urcorner
\vert
\{
\|
\}
Variable-Sized Symbols
\bigcap
\bigcup
\bigodot
\bigoplus
\bigotimes
\bigsqcup
\biguplus
\bigvee
\bigwedge
\coprod
\iint
\int
\oint
\prod
\sum
Standard Function Names
\Pr
\arccos
\arcsin
\arctan
\arg
\cos
\cosh
\cot
\coth
\csc
\deg
\det
\dim
\exp
\gcd
\hom
\inf
\ker
\lg
\lim
\liminf
\limsup
\ln
\log
\max
\min
\sec
\sin
\sinh
\sup
\tan
\tanh
Binary Operation/Relation Symbols
\Box
\Bumpeq
\Cap
\Cup
\Join
\Subset
\Supset
\Vdash
\Vvdash
\amalg
\approx
\approxeq
\ast
\asymp
\backepsilon
\backsim
\backsimeq
\barwedge
\because
\between
\bigcirc
\bigtriangledown
\bigtriangleup
\blacktriangleleft
\blacktriangleright
\bot
\bowtie
\boxdot
\boxminus
\boxplus
\boxtimes
\bullet
\bumpeq
\cap
\cdot
\centerdot
\circ
\circeq
\circledast
\circledcirc
\circleddash
\cong
\cup
\curlyeqprec
\curlyeqsucc
\curlyvee
\curlywedge
\dagger
\dashv
\ddagger
\diamond
\div
\divideontimes
\doteq
\doteqdot
\dotplus
\doublebarwedge
\eqcirc
\eqslantgtr
\eqslantless
\equiv
\fallingdotseq
\frown
\geq
\geqq
\geqslant
\gg
\ggg
\gnapprox
\gneq
\gneqq
\gnsim
\gtrapprox
\gtrdot
\gtreqless
\gtreqqless
\gtrless
\gtrsim
\gvertneqq
\in
\intercal
\leftthreetimes
\leq
\leqq
\leqslant
\lessapprox
\lessdot
\lesseqgtr
\lesseqqgtr
\lessgtr
\lesssim
\lhd
\ll
\lll
\lnapprox
\lneq
\lneqq
\lnsim
\ltimes
\lvertneqq
\mid
\models
\mp
\nVDash
\ncong
\neq
\ngeq
\ngeqq
\ngeqslant
\ngtr
\ni
\nleq
\nleqq
\nleqslant
\nless
\nmid
\notin
\nparallel
\nprec
\npreceq
\nshortmid
\nshortparallel
\nsim
\nsubseteq
\nsubseteqq
\nsucc
\nsucceq
\nsupseteq
\nsupseteqq
\ntriangleleft
\ntrianglelefteq
\ntriangleright
\ntrianglerighteq
\nvDash
\nvdash
\odot
\ominus
\oplus
\oslash
\otimes
\parallel
\perp
\pitchfork
\pm
\prec
\precapprox
\preccurlyeq
\preceq
\precnapprox
\precnsim
\precsim
\propto
\rhd
\rightthreetimes
\risingdotseq
\rtimes
\setminus
\shortmid
\shortparallel
\sim
\simeq
\smallfrown
\smallsmile
\smile
\sqcap
\sqcup
\sqsubset
\sqsubseteq
\sqsupset
\sqsupseteq
\square
\star
\subset
\subseteq
\subseteqq
\subsetneq
\subsetneqq
\succ
\succapprox
\succcurlyeq
\succeq
\succnapprox
\succnsim
\succsim
\supset
\supseteq
\supseteqq
\supsetneq
\supsetneqq
\therefore
\thickapprox
\thicksim
\times
\top
\triangleleft
\trianglelefteq
\triangleq
\triangleright
\trianglerighteq
\unlhd
\unrhd
\uplus
\vDash
\varpropto
\varsubsetneq
\varsubsetneqq
\varsupsetneq
\varsupsetneqq
\vartriangleleft
\vartriangleright
\vdash
\vee
\veebar
\wedge
\wr
Arrow Symbols
\Downarrow
\Leftarrow
\Leftrightarrow
\Lleftarrow
\Longleftarrow
\Longleftrightarrow
\Longrightarrow
\Lsh
\Rightarrow
\Rsh
\Uparrow
\Updownarrow
\circlearrowleft
\circlearrowright
\curvearrowleft
\curvearrowright
\dashleftarrow
\dashrightarrow
\downarrow
\downdownarrows
\downharpoonleft
\downharpoonright
\hookleftarrow
\hookrightarrow
\leadsto
\leftarrow
\leftarrowtail
\leftharpoondown
\leftharpoonup
\leftleftarrows
\leftrightarrow
\leftrightarrows
\leftrightharpoons
\leftrightsquigarrow
\longleftarrow
\longleftrightarrow
\longmapsto
\longrightarrow
\looparrowleft
\looparrowright
\mapsto
\multimap
\nLeftarrow
\nLeftrightarrow
\nRightarrow
\nearrow
\nleftarrow
\nleftrightarrow
\nrightarrow
\nwarrow
\rightarrow
\rightarrowtail
\rightharpoondown
\rightharpoonup
\rightleftarrows
\rightleftharpoons
\rightrightarrows
\rightsquigarrow
\searrow
\swarrow
\twoheadleftarrow
\twoheadrightarrow
\uparrow
\updownarrow
\upharpoonleft
\upharpoonright
\upuparrows
Miscellaneous Symbols
\Bbbk
\Diamond
\Finv
\Game
\Im
\Re
\angle
\backprime
\bigstar
\blacklozenge
\blacksquare
\blacktriangle
\blacktriangledown
\cdots
\circledS
\clubsuit
\complement
\ddots
\diagdown
\diagup
\diamondsuit
\ell
\emptyset
\eth
\exists
\flat
\forall
\hbar
\heartsuit
\hslash
\iiiint
\iiint
\iint
\imath
\infty
\jmath
\ldots
\lozenge
\measuredangle
\mho
\nabla
\natural
\nexists
\partial
\prime
\sharp
\spadesuit
\sphericalangle
\square
\surd
\triangle
\triangledown
\varnothing
\vartriangle
\vdots
\wp
Math Mode Accents
\Acute{\Acute{A}}
\Bar{\Bar{A}}
\Breve{\Breve{A}}
\Check{\Check{A}}
\Ddot{\Ddot{A}}
\Dot{\Dot{A}}
\Grave{\Grave{A}}
\Hat{\Hat{A}}
\Tilde{\Tilde{A}}
\Vec{\Vec{A}}
\acute{a}
\bar{a}
\breve{a}
\check{a}
\ddot{a}
\dot{a}
\grave{a}
\hat{a}
\tilde{a}
\vec{a}
Text Mode: Accents and Symbols
\"{o}
\'{o}
\.{o}
\={o}
\AA
\AE
\H s
\H{o}
\O
\P
\S
\^{o}
\aa
\ae
\b{o}
\copyright
\c{o}
\d s
\dag
\ddag
\d{o}
\i
\j
\o
\r s
\ss
\t s
\t{oo}
\u{o}
\v s
\~{o}
\begin and \end Commands
To control the format of your LaTeX, use the \begin and \end commands. These commands have required arguments that identify how the content should be formatted.
Allowed arguments:
table: \begin{tabular}[pos]{table spec} .... \end{tabular} Documentationplain matrix: \begin{matrix} .... \end{matrix}
bracketed matrix: \begin{bmatrix} .... \end{bmatrix}
braced matrix: \begin{Bmatrix} .... \end{Bmatrix}
parenthesized matrix: \begin{pmatrix} .... \end{pmatrix}
vertical bar matrix: \begin{vmatrix} .... \end{vmatrix}
double-vertical bar matrix: \begin{Vmatrix} .... \end{Vmatrix}
small matrix: \begin{smallmatrix} .... \end{smallmatrix}
