a′a'a′ a' a~\tilde{a}a~ \tilde{a} g˚\mathring{g}g˚​ \mathring{g}
a′′a''a′′ a'' ac~\widetilde{ac}ac \widetilde{ac} AB⏠\overgroup{AB}AB \overgroup{AB}
a′a^{\prime}a′ a^{\prime} AB~\utilde{AB}AB​ \utilde{AB} AB⏡\undergroup{AB}AB​ \undergroup{AB}
aˊ\acute{a}aˊ \acute{a} F⃗\vec{F}F \vec{F} AB⇒\Overrightarrow{AB}AB \Overrightarrow{AB}
yˉ\bar{y}yˉ​ \bar{y} AB←\overleftarrow{AB}AB \overleftarrow{AB} AB→\overrightarrow{AB}AB \overrightarrow{AB}
a˘\breve{a}a˘ \breve{a} AB←\underleftarrow{AB}AB​ \underleftarrow{AB} AB→\underrightarrow{AB}AB​ \underrightarrow{AB}
aˇ\check{a}aˇ \check{a} ac↼\overleftharpoon{ac}ac \overleftharpoon{ac} ac⇀\overrightharpoon{ac}ac \overrightharpoon{ac}
a˙\dot{a}a˙ \dot{a} AB↔\overleftrightarrow{AB}AB \overleftrightarrow{AB} AB⏞\overbrace{AB}AB \overbrace{AB}
a¨\ddot{a}a¨ \ddot{a} AB↔\underleftrightarrow{AB}AB​ \underleftrightarrow{AB} AB⏟\underbrace{AB}AB​ \underbrace{AB}
aˋ\grave{a}aˋ \grave{a} AB‾\overline{AB}AB \overline{AB} ABundefined\overlinesegment{AB}AB \overlinesegment{AB}
θ^\hat{\theta}θ^ \hat{\theta} AB‾\underline{AB}AB​ \underline{AB} ABundefined\underlinesegment{AB}AB​ \underlinesegment{AB}
ac^\widehat{ac}ac \widehat{ac} acˇ\widecheck{ac}ac \widecheck{ac} KaTeX parse error: Can't use function '\'' in math mode at position 1: \̲'̲{a} \'{a}
KaTeX parse error: Can't use function '\~' in math mode at position 1: \̲~̲{a} \~{a} KaTeX parse error: Can't use function '\.' in math mode at position 1: \̲.̲{a} \.{a} KaTeX parse error: Can't use function '\H' in math mode at position 1: \̲H̲{a} \H{a}
KaTeX parse error: Can't use function '\`' in math mode at position 1: \̲`̲{a} \{a}| $\={a}$={a}| $\"{a}$"{a}`
KaTeX parse error: Can't use function '\v' in math mode at position 1: \̲v̲{a} \v{a} KaTeX parse error: Can't use function '\^' in math mode at position 1: \̲^̲{a} \^{a} KaTeX parse error: Can't use function '\u' in math mode at position 1: \̲u̲{a} \u{a}
KaTeX parse error: Can't use function '\r' in math mode at position 1: \̲r̲{a} \r{a} ()( )() ( ) (\lparen( \lparen
)\rparen) \rparen ⌈⌉⌈ ⌉⌈⌉ ⌈ ⌉ ⌈\lceil⌈ \lceil
⌉\rceil⌉ \rceil ↑\uparrow↑ \uparrow [][ ][] [ ]
[\lbrack[ \lbrack ]\rbrack] \rbrack ⌊⌋⌊ ⌋⌊⌋ ⌊ ⌋
⌊\lfloor⌊ \lfloor ⌋\rfloor⌋ \rfloor ↓\downarrow↓ \downarrow
{}\{ \}{} \{ \} {\lbrace{ \lbrace }\rbrace} \rbrace
⎰⎱⎰⎱⎰⎱ ⎰⎱ ⎰\lmoustache⎰ \lmoustache ⎱\rmoustache⎱ \rmoustache
↕\updownarrow↕ \updownarrow ⟨⟩⟨ ⟩⟨⟩ ⟨ ⟩ ⟨\langle⟨ \langle
⟩\rangle⟩ \rangle ⟮⟯⟮ ⟯⟮⟯ ⟮ ⟯ ⟮\lgroup⟮ \lgroup
⟯\rgroup⟯ \rgroup ⇑\Uparrow⇑ \Uparrow $
∣\vert∣ \vert ┌┐┌ ┐┌┐ ┌ ┐ ┌\ulcorner┌ \ulcorner
┐\urcorner┐ \urcorner ⇓\Downarrow⇓ \Downarrow ∥\|∥ \|
∥\Vert∥ \Vert └┘└ ┘└┘ └ ┘ └\llcorner└ \llcorner
┘\lrcorner┘ \lrcorner ⇕\Updownarrow⇕ \Updownarrow ∣\lvert∣ \lvert
∣\rvert∣ \rvert ∥\lVert∥ \lVert ∥\rVert∥ \rVert
KaTeX parse error: Expected '\right', got 'EOF' at end of input: \left. \left. KaTeX parse error: Expected 'EOF', got '\right' at position 1: \̲r̲i̲g̲h̲t̲. \right. \\backslash\ \backslash
⟨\lang⟨ \lang ⟩\rang⟩ \rang <>\lt \gt<> \lt \gt
⟦⟧⟦ ⟧[[]] ⟦ ⟧ ⟦\llbracket[[ \llbracket ⟧\rrbracket]] \rrbracket
⦃⦄\lBrace \rBrace{[]} \lBrace \rBrace (AB)\left(\LARGE{AB}\right)(AB) \left(\LARGE{AB}\right) (((((( \big( \Big( \bigg( \Bigg(((((( ( \big( \Big( \bigg( \Bigg(
KaTeX parse error: Expected group after '\left' at end of input: \left \left KaTeX parse error: Expected group after '\big' at end of input: \big \big KaTeX parse error: Expected group after '\bigl' at end of input: \bigl \bigl
KaTeX parse error: Expected group after '\bigm' at end of input: \bigm \bigm KaTeX parse error: Expected group after '\bigr' at end of input: \bigr \bigr KaTeX parse error: Expected group after '\middle' at end of input: \middle \middle
KaTeX parse error: Expected group after '\Big' at end of input: \Big \Big KaTeX parse error: Expected group after '\Bigl' at end of input: \Bigl \Bigl KaTeX parse error: Expected group after '\Bigm' at end of input: \Bigm \Bigm
KaTeX parse error: Expected group after '\Bigr' at end of input: \Bigr \Bigr KaTeX parse error: Expected 'EOF', got '\right' at position 1: \̲r̲i̲g̲h̲t̲ \right KaTeX parse error: Expected group after '\bigg' at end of input: \bigg \bigg
KaTeX parse error: Expected group after '\biggl' at end of input: \biggl \biggl KaTeX parse error: Expected group after '\biggm' at end of input: \biggm \biggm KaTeX parse error: Expected group after '\biggr' at end of input: \biggr \biggr
KaTeX parse error: Expected group after '\Bigg' at end of input: \Bigg \Bigg KaTeX parse error: Expected group after '\Biggl' at end of input: \Biggl \Biggl KaTeX parse error: Expected group after '\Biggm' at end of input: \Biggm \Biggm
KaTeX parse error: Expected group after '\Biggr' at end of input: \Biggr \Biggr KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{matrix} \begin{matrix} $a & b \$ a & b \\
KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{matrix} \end{matrix} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: …egin{array}{cc} \begin{array}{cc}
$a & b \$ a & b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{array} \end{array}
KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{pmatrix} \begin{pmatrix} $a & b \$ a & b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d
KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{pmatrix} \end{pmatrix} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{bmatrix} \begin{bmatrix} $a & b \$ a & b \\
KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{bmatrix} \end{bmatrix} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{vmatrix} \begin{vmatrix}
$a & b \$ a & b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{vmatrix} \end{vmatrix}
KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{Vmatrix} \begin{Vmatrix} $a & b \$ a & b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d
KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{Vmatrix} \end{Vmatrix} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{Bmatrix} \begin{Bmatrix} $a & b \$ a & b \\
KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{Bmatrix} \end{Bmatrix} \def\arraystretch{1.5} \def\arraystretch{1.5}
KaTeX parse error: Expected & or \\ or \cr or \end at end of input: …n{array}{c:c:c} \begin{array}{c:c:c} KaTeX parse error: Expected 'EOF', got '&' at position 3: a &̲ b & c \\ \hlin… a & b & c \\ \hline $d & e & f \$ d & e & f \\
KaTeX parse error: \hdashline valid only within array environment \hdashline KaTeX parse error: Expected 'EOF', got '&' at position 3: g &̲ h & i g & h & i KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{array} \end{array}
KaTeX parse error: Expected & or \\ or \cr or \end at end of input: \begin{aligned} \begin{aligned} $a&=b+c \$ a&=b+c \\ KaTeX parse error: Expected 'EOF', got '&' at position 4: d+e&̲=f d+e&=f
KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{aligned} \end{aligned} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: …n{alignedat}{2} \begin{alignedat}{2} $10&x+ &3&y = 2 \$ 10&x+ &3&y = 2 \\
KaTeX parse error: Expected 'EOF', got '&' at position 2: 3&̲x+&13&y = 4 3&x+&13&y = 4 KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{alignedat} \end{alignedat} KaTeX parse error: Expected & or \\ or \cr or \end at end of input: …begin{gathered} \begin{gathered}
$a=b \$ a=b \\ e=b+ce=b+ce=b+c e=b+c KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{gathered} \end{gathered}
KaTeX parse error: Expected & or \\ or \cr or \end at end of input: …= \begin{cases} x = \begin{cases} $a &\text{if } b \$ a &\text{if } b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲\text{if } d c &\text{if } d
KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{cases} \end{cases} KaTeX parse error: No such environment: smallmatrix at position 7: \begin{̲s̲m̲a̲l̲l̲m̲a̲t̲r̲i̲x̲}̲ \begin{smallmatrix} $a & b \$ a & b \\
KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲ d c & d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{smallmatrix} \end{smallmatrix} KaTeX parse error: No such environment: rcases at position 7: \begin{̲r̲c̲a̲s̲e̲s̲}̲ \begin{rcases}
$a &\text{if } b \$ a &\text{if } b \\ KaTeX parse error: Expected 'EOF', got '&' at position 3: c &̲\text{if } d c &\text{if } d KaTeX parse error: Expected 'EOF', got '\end' at position 1: \̲e̲n̲d̲{rcases}⇒… \end{rcases}⇒…
darraydarraydarray darray dcasesdcasesdcases dcases drcasesdrcasesdrcases drcases
$\$ \\ KaTeX parse error: \cr valid only within a tabular/array environment \cr KaTeX parse error: Invalid size: 'distance' at position 4: \\[d̲i̲s̲t̲a̲n̲c̲e̲] \\[distance]
KaTeX parse error: Invalid size: 'distance' at position 5: \cr[d̲i̲s̲t̲a̲n̲c̲e̲] \cr[distance] array{array}array {array} $
::: : array{array}array {array} KaTeX parse error: Undefined control sequence: \cline at position 1: \̲c̲l̲i̲n̲e̲ \cline
KaTeX parse error: Undefined control sequence: \multicolumn at position 1: \̲m̲u̲l̲t̲i̲c̲o̲l̲u̲m̲n̲ \multicolumn errorColorerrorColorerrorColor errorColor trust:truetrust: truetrust:true trust: true
trusttrusttrust trust KaTeX\href{https://katex.org/}{\KaTeX}KATE​X \href{https://katex.org/}{\KaTeX} https://katex.org/\url{https://katex.org/}https://katex.org/ \url{https://katex.org/}
KaTeX parse error: Undefined control sequence: \includegraphics at position 1: \̲i̲n̲c̲l̲u̲d̲e̲g̲r̲a̲p̲h̲i̲c̲s̲[height=0.8em, … \includegraphics[height=0.8em, totalheight=0.9em, width=0.9em, alt=KA logo]{https://katex.org/img/khan-academy.png} …<spanid="bar"class="enclosing">…x…</span>……<span id="bar" class="enclosing">…x…</span>……<spanid="bar"class="enclosing">…x…</span>… …<span id="bar" class="enclosing">…x…</span>… KaTeX parse error: Undefined control sequence: \htmlId at position 1: \̲h̲t̲m̲l̲I̲d̲{bar}{x} \htmlId{bar}{x}
…<spanclass="enclosingfoo">…x…</span>……<span class="enclosing foo">…x…</span>……<spanclass="enclosingfoo">…x…</span>… …<span class="enclosing foo">…x…</span>… KaTeX parse error: Undefined control sequence: \htmlClass at position 1: \̲h̲t̲m̲l̲C̲l̲a̲s̲s̲{foo}{x} \htmlClass{foo}{x} …<spanstyle="color:red;"class="enclosing">…x…</span>……<span style="color: red;" class="enclosing">…x…</span>……<spanstyle="color:red;"class="enclosing">…x…</span>… …<span style="color: red;" class="enclosing">…x…</span>…
KaTeX parse error: Undefined control sequence: \htmlStyle at position 1: \̲h̲t̲m̲l̲S̲t̲y̲l̲e̲{color: red;}{x… \htmlStyle{color: red;}{x} …<spandata−foo="a"data−bar="b"class="enclosing">…x…</span>……<span data-foo="a" data-bar="b" class="enclosing">…x…</span>……<spandata−foo="a"data−bar="b"class="enclosing">…x…</span>… …<span data-foo="a" data-bar="b" class="enclosing">…x…</span>… KaTeX parse error: Undefined control sequence: \htmlData at position 1: \̲h̲t̲m̲l̲D̲a̲t̲a̲{foo=a, bar=b}{… \htmlData{foo=a, bar=b}{x}
KaTeX parse error: Undefined control sequence: \includegraphics at position 1: \̲i̲n̲c̲l̲u̲d̲e̲g̲r̲a̲p̲h̲i̲c̲s̲ \includegraphics heightheightheight height widthwidthwidth width
totalheighttotalheighttotalheight totalheight altaltalt alt heightheightheight height
KaTeX parse error: Undefined control sequence: \html at position 1: \̲h̲t̲m̲l̲ \html strictstrictstrict strict htmlExtensionhtmlExtensionhtmlExtension htmlExtension
A\AlphaA \Alpha B\BetaB \Beta Γ\GammaΓ \Gamma
Δ\DeltaΔ \Delta E\EpsilonE \Epsilon Z\ZetaZ \Zeta
H\EtaH \Eta Θ\ThetaΘ \Theta I\IotaI \Iota
K\KappaK \Kappa Λ\LambdaΛ \Lambda M\MuM \Mu
N\NuN \Nu Ξ\XiΞ \Xi O\OmicronO \Omicron
Π\PiΠ \Pi P\RhoP \Rho Σ\SigmaΣ \Sigma
T\TauT \Tau Υ\UpsilonΥ \Upsilon Φ\PhiΦ \Phi
X\ChiX \Chi Ψ\PsiΨ \Psi Ω\OmegaΩ \Omega
Γ\varGammaΓ \varGamma Δ\varDeltaΔ \varDelta Θ\varThetaΘ \varTheta
Λ\varLambdaΛ \varLambda Ξ\varXiΞ \varXi Π\varPiΠ \varPi
Σ\varSigmaΣ \varSigma Υ\varUpsilonΥ \varUpsilon Φ\varPhiΦ \varPhi
Ψ\varPsiΨ \varPsi Ω\varOmegaΩ \varOmega α\alphaα \alpha
β\betaβ \beta γ\gammaγ \gamma δ\deltaδ \delta
ϵ\epsilonϵ \epsilon ζ\zetaζ \zeta η\etaη \eta
θ\thetaθ \theta ι\iotaι \iota κ\kappaκ \kappa
λ\lambdaλ \lambda μ\muμ \mu ν\nuν \nu
ξ\xiξ \xi ο\omicronο \omicron π\piπ \pi
ρ\rhoρ \rho σ\sigmaσ \sigma τ\tauτ \tau
υ\upsilonυ \upsilon ϕ\phiϕ \phi χ\chiχ \chi
ψ\psiψ \psi ω\omegaω \omega ε\varepsilonε \varepsilon
ϰ\varkappaϰ \varkappa ϑ\varthetaϑ \vartheta ϑ\thetasymϑ \thetasym
ϖ\varpiϖ \varpi ϱ\varrhoϱ \varrho ς\varsigmaς \varsigma
φ\varphiφ \varphi ϝ\digammaϝ \digamma ı\imathı \imath
∇\nabla∇ \nabla ℑ\Imℑ \Im R\RealsR \Reals
Œ\text{\OE}Œ \text{\OE} ȷ\jmathȷ \jmath ∂\partial∂ \partial
ℑ\imageℑ \image ℘\wp℘ \wp ø\text{\o}ø \text{\o}
ℵ\alephℵ \aleph ⅁\Game⅁ \Game k\Bbbkk \Bbbk
℘\weierp℘ \weierp Ø\text{\O}Ø \text{\O} ℵ\alefℵ \alef
Ⅎ\FinvℲ \Finv N\NN \N Z\ZZ \Z
ß\text{\ss}ß \text{\ss} ℵ\alefsymℵ \alefsym C\cnumsC \cnums
N\natnumsN \natnums a˚\text{\aa}a˚ \text{\aa} ı\text{\i}ı \text{\i}
ℶ\bethℶ \beth C\ComplexC \Complex R\RR \R
A˚\text{\AA}A˚ \text{\AA} ȷ\text{\j}ȷ \text{\j} ℷ\gimelℷ \gimel
ℓ\ellℓ \ell ℜ\Reℜ \Re æ\text{\ae}æ \text{\ae}
ℸ\dalethℸ \daleth ℏ\hbarℏ \hbar ℜ\realℜ \real
Æ\text{\AE}Æ \text{\AE} ð\ethð \eth ℏ\hslashℏ \hslash
R\realsR \reals œ\text{\oe}œ \text{\oe} .latin−fallback.latin-fallback.latin−fallback .latin-fallback
.cyrillic−fallback.cyrillic-fallback.cyrillic−fallback .cyrillic-fallback .brahmic−fallback.brahmic-fallback.brahmic−fallback .brahmic-fallback .georgian−fallback.georgian-fallback.georgian−fallback .georgian-fallback
a′a'a′ a' a~\tilde{a}a~ \tilde{a} g˚\mathring{g}g˚​ \mathring{g}
.cjk−fallback.cjk-fallback.cjk−fallback .cjk-fallback .hangul−fallback.hangul-fallback.hangul−fallback .hangul-fallback strict:falsestrict: falsestrict:false strict: false
strict:"warn"strict: "warn"strict:"warn" strict: "warn" 5\cancel{5}5​ \cancel{5} a+b+c⏞note\overbrace{a+b+c}^{\text{note}}a+b+c​note​ \overbrace{a+b+c}^{\text{note}}
5\bcancel{5}5​ \bcancel{5} a+b+c⏟note\underbrace{a+b+c}_{\text{note}}notea+b+c​​ \underbrace{a+b+c}_{\text{note}} ABC\xcancel{ABC}ABC \xcancel{ABC}
≠\not =​= \not = abc\sout{abc}abc \sout{abc} π=cd\boxed{\pi=\frac c d}π=dc​​ \boxed{\pi=\frac c d}
KaTeX parse error: \tag works only in display equations \tag{hi} x+y^{2x} KaTeX parse error: \tag works only in display equations \tag*{hi} x+y^{2x} \nobreak \nobreak
F=ma{F=ma}F=ma {F=ma} \allowbreak \allowbreak $\$ \\
\newline \newline strict:truestrict: truestrict:true strict: true xnx_nxn​ x_n
=!\stackrel{!}{=}=! \stackrel{!}{=} aba \atop bba​ a \atop b exe^xex e^x
=!\overset{!}{=}=! \overset{!}{=} abca\raisebox{0.25em}{b}cabc a\raisebox{0.25em}{b}c uo_u^ouo​ _u^o
=!\underset{!}{=}!=​ \underset{!}{=} KaTeX parse error: Undefined control sequence: \substack at position 7: \sum_{\̲s̲u̲b̲s̲t̲a̲c̲k̲{0<i<m\\0<j<n}} \sum_{\substack{0<i<m\\0<j<n}} KaTeX parse error: Invalid size: 'EOF' at end of input: \raisebox \raisebox
……… $…$ KaTeX parse error: Expected '}', got 'EOF' at end of input: …isebox{0.25em}{\frac a bKaTeX parse error: Expected 'EOF', got '}' at position 1: }̲ \raisebox{0.25em}{$\frac a b$} =/{=}\mathllap{/\,}=/​ {=}\mathllap{/\,}
(x2)\left(x^{\smash{2}}\right)(x2) \left(x^{\smash{2}}\right) /=\mathrlap{\,/}{=}/​= \mathrlap{\,/}{=} y\sqrt{\smash[b]{y}}y​ \sqrt{\smash[b]{y}}
∑1≤i≤j≤nxij\sum_{\mathclap{1\le i\le j\le n}} x_{ij}∑1≤i≤j≤n​​xij​ \sum_{\mathclap{1\le i\le j\le n}} x_{ij} KaTeX parse error: End of input expecting macro argument \llap KaTeX parse error: End of input expecting macro argument \rlap
KaTeX parse error: End of input expecting macro argument \clap \, \, KaTeX parse error: Invalid size: 'distance' at position 7: \kern{d̲i̲s̲t̲a̲n̲c̲e̲} \kern{distance}
\thinspace \thinspace KaTeX parse error: Invalid size: 'distance' at position 8: \mkern{d̲i̲s̲t̲a̲n̲c̲e̲} \mkern{distance} \> \>
KaTeX parse error: Invalid size: 'distance' at position 8: \mskip{d̲i̲s̲t̲a̲n̲c̲e̲} \mskip{distance} \: \: KaTeX parse error: Invalid size: 'distance' at position 8: \hskip{d̲i̲s̲t̲a̲n̲c̲e̲} \hskip{distance}
\medspace \medspace KaTeX parse error: Invalid size: 'd' at position 9: \hspace{d̲istance} \hspace{distance} \; \;
KaTeX parse error: Invalid size: 'd' at position 10: \hspace*{d̲istance} \hspace*{distance} \thickspace \thickspace content\phantom{content}content \phantom{content}
\enspace \enspace content\hphantom{content}content \hphantom{content} \quad \quad
content\vphantom{content}content \vphantom{content} \qquad \qquad ⁣\! \!
~ ⁣\negthinspace \negthinspace KaTeX parse error: Undefined control sequence: \< at position 1: \̲<̲space> \<space>
⁣\negmedspace \negmedspace \nobreakspace  \nobreakspace ⁣\negthickspace \negthickspace
\space  \space distancedistancedistance distance KaTeX parse error: Invalid size: 'EOF' at end of input: \kern \kern
KaTeX parse error: Invalid size: 'EOF' at end of input: \mkern \mkern KaTeX parse error: Invalid size: 'EOF' at end of input: \mskip \mskip KaTeX parse error: End of input expecting macro argument \hspace
\kern1em \kern1em KaTeX parse error: Invalid size: 'EOF' at end of input: \mkern \mkern KaTeX parse error: Invalid size: 'EOF' at end of input: \mskip \mskip
mumumu mu ∀\forall∀ \forall ∁\complement∁ \complement
∴\therefore∴ \therefore ∅\emptyset∅ \emptyset ∃\exists∃ \exists
⊂\subset⊂ \subset ∵\because∵ \because ∅\empty∅ \empty
∃\exist∃ \exist ⊃\supset⊃ \supset ↦\mapsto↦ \mapsto
∅\varnothing∅ \varnothing ∄\nexists∄ \nexists ∣\mid∣ \mid
→\to→ \to ⟹\implies⟹ \implies ∈\in∈ \in
∧\land∧ \land ←\gets← \gets ⟸\impliedby⟸ \impliedby
∈\isin∈ \isin ∨\lor∨ \lor ↔\leftrightarrow↔ \leftrightarrow
⟺\iff⟺ \iff ∉\notin∈/​ \notin ∋\ni∋ \ni
∌\notni​∋ \notni ¬\neg¬ \neg ¬\lnot¬ \lnot
x2+x2\def\foo{x^2} \foo + \foox2+x2 \def\foo{x^2} \foo + \foo y2+y2\gdef\bar#1{#1^2} \bar{y} + \bar{y}y2+y2 \gdef\bar#1{#1^2} \bar{y} + \bar{y} KaTeX parse error: Undefined control sequence: \edef at position 1: \̲e̲d̲e̲f̲\macroname#1#2…… \edef\macroname#1#2…{definition to be expanded}
KaTeX parse error: Undefined control sequence: \xdef at position 1: \̲x̲d̲e̲f̲\macroname#1#2…… \xdef\macroname#1#2…{definition to be expanded} KaTeX parse error: Undefined control sequence: \let at position 1: \̲l̲e̲t̲\foo=\bar \let\foo=\bar KaTeX parse error: Undefined control sequence: \futurelet at position 1: \̲f̲u̲t̲u̲r̲e̲l̲e̲t̲\foo\bar x \futurelet\foo\bar x
definition\global\def\macroname#1#2…{definition}definition \global\def\macroname#1#2…{definition} KaTeX parse error: Invalid number of arguments: numargs \newcommand\macroname[numargs]{definition} KaTeX parse error: \renewcommand{\macroname} when command \macroname does not yet exist; use \newcommand \renewcommand\macroname[numargs]{definition}
KaTeX parse error: Invalid number of arguments: numargs \providecommand\macroname[numargs]{definition} KaTeX parse error: Expected 'EOF', got '#' at position 12: \def\add#1+#̲2{#1\oplus#2}
\def\add#1+#2{#1\oplus#2} KaTeX parse error: End of input expecting macro argument \gdef
KaTeX parse error: Undefined control sequence: \xdef at position 1: \̲x̲d̲e̲f̲ \xdef KaTeX parse error: End of input expecting macro argument \global\def KaTeX parse error: Invalid command '\edef' after \global \global\edef
KaTeX parse error: Invalid command '\let' after \global \global\let KaTeX parse error: Invalid command '\futurelet' after \global \global\futurelet KaTeX parse error: Undefined control sequence: \par at position 1: \̲p̲a̲r̲ \par
KaTeX parse error: Undefined control sequence: \long at position 1: \̲l̲o̲n̲g̲ \long KaTeX parse error: Invalid base-10 digit EOF \char KaTeX parse error: Expected group after '\mathchoice' at end of input: \mathchoice \mathchoice
KaTeX parse error: End of input expecting macro argument \TextOrMath KaTeX parse error: End of input expecting macro argument \@ifstar KaTeX parse error: End of input expecting macro argument \@ifnextchar
KaTeX parse error: End of input expecting macro argument \@firstoftwo KaTeX parse error: End of input expecting macro argument \@secondoftwo \relax \relax
KaTeX parse error: Undefined control sequence: \expandafter at position 1: \̲e̲x̲p̲a̲n̲d̲a̲f̲t̲e̲r̲ \expandafter KaTeX parse error: Undefined control sequence: \noexpand at position 1: \̲n̲o̲e̲x̲p̲a̲n̲d̲ \noexpand KaTeX parse error: Undefined control sequence: \makeatletter at position 1: \̲m̲a̲k̲e̲a̲t̲l̲e̲t̲t̲e̲r̲ \makeatletter
∑\sum∑ \sum ∏\prod∏ \prod ⨂\bigotimes⨂ \bigotimes
⋁\bigvee⋁ \bigvee ∫\int∫ \int ∐\coprod∐ \coprod
⨁\bigoplus⨁ \bigoplus ⋀\bigwedge⋀ \bigwedge ∬\iint∬ \iint
∫\intop∫ \intop ⨀\bigodot⨀ \bigodot ⋂\bigcap⋂ \bigcap
∭\iiint∭ \iiint ∫\smallint∫ \smallint ⨄\biguplus⨄ \biguplus
⋃\bigcup⋃ \bigcup ∮\oint∮ \oint ∯\oiint∬​ \oiint
∰\oiiint∭​ \oiiint ⨆\bigsqcup⨆ \bigsqcup +++ +
⋅\cdot⋅ \cdot ⋗\gtrdot⋗ \gtrdot x(moda)x \pmod ax(moda) x \pmod a
−-− - ⋅\cdotp⋅ \cdotp ⊺\intercal⊺ \intercal
x(a)x \pod ax(a) x \pod a /// / ⋅\centerdot⋅ \centerdot
∧\land∧ \land ⊳\rhd⊳ \rhd ∗*∗ *
∘\circ∘ \circ ⋋\leftthreetimes⋋ \leftthreetimes ⋌\rightthreetimes⋌ \rightthreetimes
⨿\amalg⨿ \amalg ⊛\circledast⊛ \circledast .\ldotp. \ldotp
⋊\rtimes⋊ \rtimes &\And& \And ⊚\circledcirc⊚ \circledcirc
∨\lor∨ \lor ∖\setminus∖ \setminus ∗\ast∗ \ast
⊝\circleddash⊝ \circleddash ⋖\lessdot⋖ \lessdot ∖\smallsetminus∖ \smallsetminus
⊼\barwedge⊼ \barwedge ⋓\Cup⋓ \Cup ⊲\lhd⊲ \lhd
⊓\sqcap⊓ \sqcap ◯\bigcirc◯ \bigcirc ∪\cup∪ \cup
⋉\ltimes⋉ \ltimes ⊔\sqcup⊔ \sqcup mod\bmodmod \bmod
⋎\curlyvee⋎ \curlyvee xmodax\mod axmoda x\mod a ×\times× \times
⊡\boxdot⊡ \boxdot ⋏\curlywedge⋏ \curlywedge ∓\mp∓ \mp
⊴\unlhd⊴ \unlhd ⊟\boxminus⊟ \boxminus ÷\div÷ \div
⊙\odot⊙ \odot ⊵\unrhd⊵ \unrhd ⊞\boxplus⊞ \boxplus
⋇\divideontimes⋇ \divideontimes ⊖\ominus⊖ \ominus ⊎\uplus⊎ \uplus
⊠\boxtimes⊠ \boxtimes ∔\dotplus∔ \dotplus ⊕\oplus⊕ \oplus
∨\vee∨ \vee ∙\bullet∙ \bullet ⩞\doublebarwedge⩞ \doublebarwedge
⊗\otimes⊗ \otimes ⊻\veebar⊻ \veebar ⋒\Cap⋒ \Cap
⋒\doublecap⋒ \doublecap ⊘\oslash⊘ \oslash ∧\wedge∧ \wedge
∩\cap∩ \cap ⋓\doublecup⋓ \doublecup ±\pm± \pm
±\plusmn± \plusmn ≀\wr≀ \wr ab\frac{a}{b}ba​ \frac{a}{b}
ab\tfrac{a}{b}ba​ \tfrac{a}{b} (aa+1]\genfrac ( ] {2pt}{1}a{a+1}(a+1a​] \genfrac ( ] {2pt}{1}a{a+1} ab{a \over b}ba​ {a \over b}
ab\dfrac{a}{b}ba​ \dfrac{a}{b} ab+1{a \above{2pt} b+1}b+1a​ {a \above{2pt} b+1} a/ba/ba/b a/b
a1+1b\cfrac{a}{1 + \cfrac{1}{b}}1+b1​a​ \cfrac{a}{1 + \cfrac{1}{b}} (nk)\binom{n}{k}(kn​) \binom{n}{k} (nk)\dbinom{n}{k}(kn​) \dbinom{n}{k}
{nk}{n\brace k}{kn​} {n\brace k} (nk){n \choose k}(kn​) {n \choose k} (nk)\tbinom{n}{k}(kn​) \tbinom{n}{k}
[nk]{n\brack k}[kn​] {n\brack k} arcsin⁡\arcsinarcsin \arcsin cotg⁡\cotgcotg \cotg
ln⁡\lnln \ln det⁡\detdet \det arccos⁡\arccosarccos \arccos
coth⁡\cothcoth \coth log⁡\loglog \log gcd⁡\gcdgcd \gcd
arctan⁡\arctanarctan \arctan csc⁡\csccsc \csc sec⁡\secsec \sec
inf⁡\infinf \inf arctg⁡\arctgarctg \arctg ctg⁡\ctgctg \ctg
sin⁡\sinsin \sin lim⁡\limlim \lim arcctg⁡\arcctgarcctg \arcctg
cth⁡\cthcth \cth sinh⁡\sinhsinh \sinh lim inf⁡\liminfliminf \liminf
arg⁡\argarg \arg deg⁡\degdeg \deg sh⁡\shsh \sh
lim sup⁡\limsuplimsup \limsup ch⁡\chch \ch dim⁡\dimdim \dim
tan⁡\tantan \tan max⁡\maxmax \max cos⁡\coscos \cos
exp⁡\expexp \exp tanh⁡\tanhtanh \tanh min⁡\minmin \min
cosec⁡\coseccosec \cosec hom⁡\homhom \hom tg⁡\tgtg \tg
Pr⁡\PrPr \Pr cosh⁡\coshcosh \cosh ker⁡\kerker \ker
th⁡\thth \th sup⁡\supsup \sup cot⁡\cotcot \cot
lg⁡\lglg \lg arg max⁡\argmaxargmax \argmax arg min⁡\argminargmin \argmin
KaTeX parse error: Undefined control sequence: \plim at position 1: \̲p̲l̲i̲m̲ \plim f⁡\operatorname{f}f \operatorname{f} *⁡f\operatorname*{f}*f \operatorname*{f}
KaTeX parse error: Limit controls must follow a math operator at position 1: \̲l̲i̲m̲i̲t̲s̲ \limits x\sqrt{x}x​ \sqrt{x} x3\sqrt[3]{x}3x​ \sqrt[3]{x}
=!\stackrel{!}{=}=! \stackrel{!}{=} === = ≖\eqcirc≖ \eqcirc
⋚\lesseqgtr⋚ \lesseqgtr ⊐\sqsupset⊐ \sqsupset <<< <
∹\eqcolon−: \eqcolon ⪋\lesseqqgtr⪋ \lesseqqgtr ⊒\sqsupseteq⊒ \sqsupseteq
>>> > −∷\Eqcolon−:: \Eqcolon ≶\lessgtr≶ \lessgtr
⋐\Subset⋐ \Subset ::: : ≕\eqqcolon=: \eqqcolon
≲\lesssim≲ \lesssim ⊂\subset⊂ \subset ⊂\sub⊂ \sub
≈\approx≈ \approx =∷\Eqqcolon=:: \Eqqcolon ≪\ll≪ \ll
⊆\subseteq⊆ \subseteq ⊆\sube⊆ \sube ≊\approxeq≊ \approxeq
≂\eqsim≂ \eqsim ⋘\lll⋘ \lll ⫅\subseteqq⫅ \subseteqq
≍\asymp≍ \asymp ⪖\eqslantgtr⪖ \eqslantgtr ⋘\llless⋘ \llless
≻\succ≻ \succ ∍\backepsilon∍ \backepsilon ⪕\eqslantless⪕ \eqslantless
<\lt< \lt ⪸\succapprox⪸ \succapprox ∽\backsim∽ \backsim
≡\equiv≡ \equiv ∣\mid∣ \mid ≽\succcurlyeq≽ \succcurlyeq
⋍\backsimeq⋍ \backsimeq ≒\fallingdotseq≒ \fallingdotseq ⊨\models⊨ \models
⪰\succeq⪰ \succeq ≬\between≬ \between ⌢\frown⌢ \frown
⊸\multimap⊸ \multimap ≿\succsim≿ \succsim ⋈\bowtie⋈ \bowtie
≥\ge≥ \ge ∋\owns∋ \owns ⋑\Supset⋑ \Supset
≏\bumpeq≏ \bumpeq ≥\geq≥ \geq ∥\parallel∥ \parallel
⊃\supset⊃ \supset ≎\Bumpeq≎ \Bumpeq ≧\geqq≧ \geqq
⊥\perp⊥ \perp ⊇\supseteq⊇ \supseteq ⊇\supe⊇ \supe
≗\circeq≗ \circeq ⩾\geqslant⩾ \geqslant ⋔\pitchfork⋔ \pitchfork
⫆\supseteqq⫆ \supseteqq :≈\colonapprox:≈ \colonapprox ≫\gg≫ \gg
≺\prec≺ \prec ≈\thickapprox≈ \thickapprox ∷≈\Colonapprox::≈ \Colonapprox
⋙\ggg⋙ \ggg ⪷\precapprox⪷ \precapprox ∼\thicksim∼ \thicksim
:−\coloneq:− \coloneq ⋙\gggtr⋙ \gggtr ≼\preccurlyeq≼ \preccurlyeq
⊴\trianglelefteq⊴ \trianglelefteq ∷−\Coloneq::− \Coloneq >\gt> \gt
⪯\preceq⪯ \preceq ≜\triangleq≜ \triangleq ≔\coloneqq:= \coloneqq
⪆\gtrapprox⪆ \gtrapprox ≾\precsim≾ \precsim ⊵\trianglerighteq⊵ \trianglerighteq
∷=\Coloneqq::= \Coloneqq ⋛\gtreqless⋛ \gtreqless ∝\propto∝ \propto
∝\varpropto∝ \varpropto :∼\colonsim:∼ \colonsim ⪌\gtreqqless⪌ \gtreqqless
≓\risingdotseq≓ \risingdotseq △\vartriangle△ \vartriangle ∷∼\Colonsim::∼ \Colonsim
≷\gtrless≷ \gtrless ∣\shortmid∣ \shortmid ⊲\vartriangleleft⊲ \vartriangleleft
≅\cong≅ \cong ≳\gtrsim≳ \gtrsim ∥\shortparallel∥ \shortparallel
⊳\vartriangleright⊳ \vartriangleright ⋞\curlyeqprec⋞ \curlyeqprec ∈\in∈ \in
∈\isin∈ \isin ∼\sim∼ \sim :\vcentcolon: \vcentcolon
⋟\curlyeqsucc⋟ \curlyeqsucc ⋈\Join⋈ \Join ≃\simeq≃ \simeq
⊢\vdash⊢ \vdash ⊣\dashv⊣ \dashv ≤\le≤ \le
⌢\smallfrown⌢ \smallfrown ⊨\vDash⊨ \vDash ∷\dblcolon:: \dblcolon
≤\leq≤ \leq ⌣\smallsmile⌣ \smallsmile ⊩\Vdash⊩ \Vdash
≐\doteq≐ \doteq ≦\leqq≦ \leqq ⌣\smile⌣ \smile
⊪\Vvdash⊪ \Vvdash ≑\Doteq≑ \Doteq ⩽\leqslant⩽ \leqslant
⊏\sqsubset⊏ \sqsubset ≑\doteqdot≑ \doteqdot ⪅\lessapprox⪅ \lessapprox
⊑\sqsubseteq⊑ \sqsubseteq ≔≕∷=≔ ≕ ⩴:==:::= ≔ ≕ ⩴ ≠\not =​= \not =
⪊\gnapprox⪊ \gnapprox ≱\ngeqslant \ngeqslant ⊈\nsubseteq⊈ \nsubseteq
⪵\precneqq⪵ \precneqq ⪈\gneq⪈ \gneq ≯\ngtr≯ \ngtr
⊈\nsubseteqq \nsubseteqq ⋨\precnsim⋨ \precnsim ≩\gneqq≩ \gneqq
≰\nleq≰ \nleq ⊁\nsucc⊁ \nsucc ⊊\subsetneq⊊ \subsetneq
⋧\gnsim⋧ \gnsim ≰\nleqq \nleqq ⋡\nsucceq⋡ \nsucceq
⫋\subsetneqq⫋ \subsetneqq ≩\gvertneqq \gvertneqq ≰\nleqslant \nleqslant
⊉\nsupseteq⊉ \nsupseteq ⪺\succnapprox⪺ \succnapprox ⪉\lnapprox⪉ \lnapprox
≮\nless≮ \nless ⊉\nsupseteqq \nsupseteqq ⪶\succneqq⪶ \succneqq
⪇\lneq⪇ \lneq ∤\nmid∤ \nmid ⋪\ntriangleleft⋪ \ntriangleleft
⋩\succnsim⋩ \succnsim ≨\lneqq≨ \lneqq ∉\notin∈/​ \notin
⋬\ntrianglelefteq⋬ \ntrianglelefteq ⊋\supsetneq⊋ \supsetneq ⋦\lnsim⋦ \lnsim
∌\notni​∋ \notni ⋫\ntriangleright⋫ \ntriangleright ⫌\supsetneqq⫌ \supsetneqq
≨\lvertneqq \lvertneqq ∦\nparallel∦ \nparallel ⋭\ntrianglerighteq⋭ \ntrianglerighteq
⊊\varsubsetneq \varsubsetneq ≆\ncong≆ \ncong ⊀\nprec⊀ \nprec
⊬\nvdash⊬ \nvdash ⫋\varsubsetneqq \varsubsetneqq ≠\ne​= \ne
⋠\npreceq⋠ \npreceq ⊭\nvDash⊭ \nvDash ⊋\varsupsetneq \varsupsetneq
≠\neq​= \neq ∤\nshortmid \nshortmid ⊯\nVDash⊯ \nVDash
⫌\varsupsetneqq \varsupsetneqq ≱\ngeq≱ \ngeq ∦\nshortparallel \nshortparallel
⊮\nVdash⊮ \nVdash ≱\ngeqq \ngeqq ≁\nsim≁ \nsim
⪹\precnapprox⪹ \precnapprox ↺\circlearrowleft↺ \circlearrowleft ↼\leftharpoonup↼ \leftharpoonup
⇒\rArr⇒ \rArr ↻\circlearrowright↻ \circlearrowright ⇇\leftleftarrows⇇ \leftleftarrows
→\rarr→ \rarr ↶\curvearrowleft↶ \curvearrowleft ↔\leftrightarrow↔ \leftrightarrow
↾\restriction↾ \restriction ↷\curvearrowright↷ \curvearrowright ⇔\Leftrightarrow⇔ \Leftrightarrow
→\rightarrow→ \rightarrow ⇓\Darr⇓ \Darr ⇆\leftrightarrows⇆ \leftrightarrows
⇒\Rightarrow⇒ \Rightarrow ⇓\dArr⇓ \dArr ⇋\leftrightharpoons⇋ \leftrightharpoons
↣\rightarrowtail↣ \rightarrowtail ↓\darr↓ \darr ↭\leftrightsquigarrow↭ \leftrightsquigarrow
⇁\rightharpoondown⇁ \rightharpoondown ⇠\dashleftarrow⇠ \dashleftarrow ⇚\Lleftarrow⇚ \Lleftarrow
⇀\rightharpoonup⇀ \rightharpoonup ⇢\dashrightarrow⇢ \dashrightarrow ⟵\longleftarrow⟵ \longleftarrow
⇄\rightleftarrows⇄ \rightleftarrows ↓\downarrow↓ \downarrow ⟸\Longleftarrow⟸ \Longleftarrow
⇌\rightleftharpoons⇌ \rightleftharpoons ⇓\Downarrow⇓ \Downarrow ⟷\longleftrightarrow⟷ \longleftrightarrow
⇉\rightrightarrows⇉ \rightrightarrows ⇊\downdownarrows⇊ \downdownarrows ⟺\Longleftrightarrow⟺ \Longleftrightarrow
⇝\rightsquigarrow⇝ \rightsquigarrow ⇃\downharpoonleft⇃ \downharpoonleft ⟼\longmapsto⟼ \longmapsto
⇛\Rrightarrow⇛ \Rrightarrow ⇂\downharpoonright⇂ \downharpoonright ⟶\longrightarrow⟶ \longrightarrow
↱\Rsh↱ \Rsh ←\gets← \gets ⟹\Longrightarrow⟹ \Longrightarrow
↘\searrow↘ \searrow ⇔\Harr⇔ \Harr ↫\looparrowleft↫ \looparrowleft
↙\swarrow↙ \swarrow ⇔\hArr⇔ \hArr ↬\looparrowright↬ \looparrowright
→\to→ \to ↔\harr↔ \harr ⇔\Lrarr⇔ \Lrarr
↞\twoheadleftarrow↞ \twoheadleftarrow ↩\hookleftarrow↩ \hookleftarrow ⇔\lrArr⇔ \lrArr
↠\twoheadrightarrow↠ \twoheadrightarrow ↪\hookrightarrow↪ \hookrightarrow ↔\lrarr↔ \lrarr
⇑\Uarr⇑ \Uarr ⟺\iff⟺ \iff ↰\Lsh↰ \Lsh
⇑\uArr⇑ \uArr ⟸\impliedby⟸ \impliedby ↦\mapsto↦ \mapsto
↑\uarr↑ \uarr ⟹\implies⟹ \implies ↗\nearrow↗ \nearrow
↑\uparrow↑ \uparrow ⇐\Larr⇐ \Larr ↚\nleftarrow↚ \nleftarrow
⇑\Uparrow⇑ \Uparrow ⇐\lArr⇐ \lArr ⇍\nLeftarrow⇍ \nLeftarrow
↕\updownarrow↕ \updownarrow ←\larr← \larr ↮\nleftrightarrow↮ \nleftrightarrow
⇕\Updownarrow⇕ \Updownarrow ⇝\leadsto⇝ \leadsto ⇎\nLeftrightarrow⇎ \nLeftrightarrow
↿\upharpoonleft↿ \upharpoonleft ←\leftarrow← \leftarrow ↛\nrightarrow↛ \nrightarrow
↾\upharpoonright↾ \upharpoonright ⇐\Leftarrow⇐ \Leftarrow ⇏\nRightarrow⇏ \nRightarrow
⇈\upuparrows⇈ \upuparrows ↢\leftarrowtail↢ \leftarrowtail ↖\nwarrow↖ \nwarrow
↽\leftharpoondown↽ \leftharpoondown ⇒\Rarr⇒ \Rarr ←abc\xleftarrow{abc}abc​ \xleftarrow{abc}
→underover\xrightarrow[under]{over}overunder​ \xrightarrow[under]{over} ⇐abc\xLeftarrow{abc}abc​ \xLeftarrow{abc} ⇒abc\xRightarrow{abc}abc​ \xRightarrow{abc}
↔abc\xleftrightarrow{abc}abc​ \xleftrightarrow{abc} ⇔abc\xLeftrightarrow{abc}abc​ \xLeftrightarrow{abc} ↩abc\xhookleftarrow{abc}abc​ \xhookleftarrow{abc}
↪abc\xhookrightarrow{abc}abc​ \xhookrightarrow{abc} ↞abc\xtwoheadleftarrow{abc}abc \xtwoheadleftarrow{abc} ↠abc\xtwoheadrightarrow{abc}abc \xtwoheadrightarrow{abc}
↼abc\xleftharpoonup{abc}abc​ \xleftharpoonup{abc} ⇀abc\xrightharpoonup{abc}abc​ \xrightharpoonup{abc} ↽abc\xleftharpoondown{abc}abc​ \xleftharpoondown{abc}
⇁abc\xrightharpoondown{abc}abc​ \xrightharpoondown{abc} ⇋abc\xleftrightharpoons{abc}abc​ \xleftrightharpoons{abc} ⇌abc\xrightleftharpoons{abc}abc​ \xrightleftharpoons{abc}
⇄abc\xtofrom{abc}abc​ \xtofrom{abc} ↦abc\xmapsto{abc}abc​ \xmapsto{abc} =abc\xlongequal{abc}abc \xlongequal{abc}
→underover\xrightarrow[under]{over}overunder​ \xrightarrow[under]{over} KaTeX parse error: Undefined control sequence: \bra at position 1: \̲b̲r̲a̲{\phi} \bra{\phi} KaTeX parse error: Undefined control sequence: \ket at position 1: \̲k̲e̲t̲{\psi} \ket{\psi}
KaTeX parse error: Undefined control sequence: \braket at position 1: \̲b̲r̲a̲k̲e̲t̲{\phi\vert\psi} \braket{\phi\vert\psi} KaTeX parse error: Undefined control sequence: \Bra at position 1: \̲B̲r̲a̲{\phi} \Bra{\phi} KaTeX parse error: Undefined control sequence: \Ket at position 1: \̲K̲e̲t̲{\psi} \Ket{\psi}
KaTeX parse error: Expected group after '\mathbin' at end of input: \mathbin \mathbin KaTeX parse error: Expected group after '\mathclose' at end of input: \mathclose \mathclose KaTeX parse error: Expected group after '\mathinner' at end of input: \mathinner \mathinner
KaTeX parse error: Expected group after '\mathop' at end of input: \mathop \mathop KaTeX parse error: Expected group after '\mathopen' at end of input: \mathopen \mathopen KaTeX parse error: Expected group after '\mathord' at end of input: \mathord \mathord
KaTeX parse error: Expected group after '\mathpunct' at end of input: \mathpunct \mathpunct KaTeX parse error: Expected group after '\mathrel' at end of input: \mathrel \mathrel F=ma\color{blue} F=maF=ma \color{blue} F=ma
KaTeX parse error: Expected '{', got 'EOF' at end of input: \color \color F=ma\textcolor{blue}{F=ma}F=ma \textcolor{blue}{F=ma} F=ma\textcolor{#228B22}{F=ma}F=ma \textcolor{#228B22}{F=ma}
a′a'a′ a' a~\tilde{a}a~ \tilde{a} g˚\mathring{g}g˚​ \mathring{g}
:–: :–: :–:
KaTeX parse error: Expected '}', got 'EOF' at end of input: …colorbox{aqua}{F=maKaTeX parse error: Expected 'EOF', got '}' at position 1: }̲ \colorbox{aqua}{$F=ma$} KaTeX parse error: Expected '}', got 'EOF' at end of input: …box{red}{aqua}{F=maKaTeX parse error: Expected 'EOF', got '}' at position 1: }̲ \fcolorbox{red}{aqua}{$F=ma$} KaTeX parse error: Expected '{', got 'EOF' at end of input: \colorbox \colorbox
KaTeX parse error: Expected '{', got 'EOF' at end of input: \fcolorbox \fcolorbox $$$ $ Ab0\mathrm{Ab0}Ab0 \mathrm{Ab0}
Ab0\mathbf{Ab0}Ab0 \mathbf{Ab0} Ab0\mathit{Ab0}Ab0 \mathit{Ab0} Ab0\mathnormal{Ab0}Ab0 \mathnormal{Ab0}
Ab0\textbf{Ab0}Ab0 \textbf{Ab0} Ab0\textit{Ab0}Ab0 \textit{Ab0} Ab0\textrm{Ab0}Ab0 \textrm{Ab0}
Ab0\bf Ab0Ab0 \bf Ab0 Ab0\it Ab0Ab0 \it Ab0 Ab0\rm Ab0Ab0 \rm Ab0
Ab0\bold{Ab0}Ab0 \bold{Ab0} Ab0\textup{Ab0}Ab0 \textup{Ab0} Ab0\textnormal{Ab0}Ab0 \textnormal{Ab0}
Ab\boldsymbol{Ab}Ab \boldsymbol{Ab} AB\Bbb{AB}AB \Bbb{AB} Ab0\text{Ab0}Ab0 \text{Ab0}
Ab0\bm{Ab0}Ab0 \bm{Ab0} AB\mathbb{AB}AB \mathbb{AB} Ab0\mathsf{Ab0}Ab0 \mathsf{Ab0}
Ab0\textmd{Ab0}Ab0 \textmd{Ab0} Ab0\frak{Ab0}Ab0 \frak{Ab0} Ab0\textsf{Ab0}Ab0 \textsf{Ab0}
Ab0\mathtt{Ab0}Ab0 \mathtt{Ab0} Ab0\mathfrak{Ab0}Ab0 \mathfrak{Ab0} Ab0\sf Ab0Ab0 \sf Ab0
Ab0\texttt{Ab0}Ab0 \texttt{Ab0} AB0\mathcal{AB0}AB0 \mathcal{AB0} Ab0\tt Ab0Ab0 \tt Ab0
KaTeX parse error: Undefined control sequence: \cal at position 1: \̲c̲a̲l̲ ̲AB0 \cal AB0 AB\mathscr{AB}AB \mathscr{AB} KaTeX parse error: Undefined control sequence: \textXX at position 1: \̲t̲e̲x̲t̲X̲X̲ \textXX
H\textsf{\textbf{H}}H \textsf{\textbf{H}} H\mathsf{\mathbf{H}}H \mathsf{\mathbf{H}} KaTeX parse error: End of input expecting macro argument \pmb
μ\pmb{\mu}μ​μ​​μ \pmb{\mu} AB\Huge ABAB \Huge AB AB\normalsize ABAB \normalsize AB
AB\huge ABAB \huge AB AB\small ABAB \small AB AB\LARGE ABAB \LARGE AB
AB\footnotesize ABAB \footnotesize AB AB\Large ABAB \Large AB AB\scriptsize ABAB \scriptsize AB
AB\large ABAB \large AB AB\tiny ABAB \tiny AB ∑i=1n\displaystyle\sum_{i=1}^ni=1∑n​ \displaystyle\sum_{i=1}^n
∑i=1n\textstyle\sum_{i=1}^n∑i=1n​ \textstyle\sum_{i=1}^n x\scriptstyle xx \scriptstyle x x\scriptscriptstyle xx \scriptscriptstyle x
lim⁡x\lim\limits_xxlim​ \lim\limits_x lim⁡x\lim\nolimits_xlimx​ \lim\nolimits_x x^2\verb!x^2!x^2 \verb!x^2!
…\text{…}… \text{…} ……… $…$ % comment % comment
…\dots… \dots KaTeX\KaTeXKATE​X \KaTeX %\%% \%
⋯\cdots⋯ \cdots LaTeX\LaTeXLATE​X \LaTeX #\## \#
⋱\ddots⋱ \ddots TeX\TeXTE​X \TeX &\&& \&
…\ldots… \ldots ∇\nabla∇ \nabla _\__ \_
⋮\vdots⋮ \vdots ∞\infty∞ \infty _\text{\textunderscore}_ \text{\textunderscore}
⋯\dotsb⋯ \dotsb ∞\infin∞ \infin –\text{--}– \text{--}
…\dotsc… \dotsc ✓\checkmark✓ \checkmark –\text{\textendash}– \text{\textendash}
⁣⋯\dotsi⋯ \dotsi †\dag† \dag —\text{---}— \text{---}
⋯\dotsm⋯ \dotsm †\dagger† \dagger —\text{\textemdash}— \text{\textemdash}
…\dotso… \dotso †\text{\textdagger}† \text{\textdagger} ~\text{\textasciitilde}~ \text{\textasciitilde}
⋅\sdot⋅ \sdot ‡\ddag‡ \ddag ^\text{\textasciicircum}^ \text{\textasciicircum}
…\mathellipsis… \mathellipsis ‡\ddagger‡ \ddagger ‘`‘ ```
…\text{\textellipsis}… \text{\textellipsis} ‡\text{\textdaggerdbl}‡ \text{\textdaggerdbl} KaTeX parse error: Undefined control sequence: \textquoteleft at position 6: text{\̲t̲e̲x̲t̲q̲u̲o̲t̲e̲l̲e̲f̲t̲} text{\textquoteleft}
□\Box□ \Box ‡\Dagger‡ \Dagger ‘\lq‘ \lq
□\square□ \square ∠\angle∠ \angle ’\text{\textquoteright}’ \text{\textquoteright}
■\blacksquare■ \blacksquare ∡\measuredangle∡ \measuredangle ′\rq′ \rq
△\triangle△ \triangle ∢\sphericalangle∢ \sphericalangle “\text{\textquotedblleft}“ \text{\textquotedblleft}
▽\triangledown▽ \triangledown ⊤\top⊤ \top """ "
◃\triangleleft◃ \triangleleft ⊥\bot⊥ \bot ”\text{\textquotedblright}” \text{\textquotedblright}
▹\triangleright▹ \triangleright $$$ \$ ⁣:\colon: \colon
▽\bigtriangledown▽ \bigtriangledown $\text{\textdollar}$ \text{\textdollar} ‵\backprime‵ \backprime
△\bigtriangleup△ \bigtriangleup £\pounds£ \pounds ′\prime′ \prime
▲\blacktriangle▲ \blacktriangle £\mathsterling£ \mathsterling <\text{\textless}< \text{\textless}
▼\blacktriangledown▼ \blacktriangledown £\text{\textsterling}£ \text{\textsterling} >\text{\textgreater}> \text{\textgreater}
◀\blacktriangleleft◀ \blacktriangleleft ¥\yen¥ \yen |\text{\textbar}| \text{\textbar}
▶\blacktriangleright▶ \blacktriangleright √\surd√ \surd ∥\text{\textbardbl}∥ \text{\textbardbl}
⋄\diamond⋄ \diamond °\degree° \degree {\text{\textbraceleft}{ \text{\textbraceleft}
◊\Diamond◊ \Diamond °\text{\textdegree}° \text{\textdegree} }\text{\textbraceright}} \text{\textbraceright}
◊\lozenge◊ \lozenge ℧\mho℧ \mho \\text{\textbackslash}\ \text{\textbackslash}
⧫\blacklozenge⧫ \blacklozenge ╲\diagdown╲ \diagdown ¶\text{\P}¶ \text{\P}
⋆\star⋆ \star ╱\diagup╱ \diagup §\text{\S}§ \text{\S}
★\bigstar★ \bigstar ♭\flat♭ \flat §\text{\sect}§ \text{\sect}
♣\clubsuit♣ \clubsuit ♮\natural♮ \natural ©\copyrightc◯ \copyright
♣\clubs♣ \clubs ♯\sharp♯ \sharp ®\circledR® \circledR
♢\diamondsuit♢ \diamondsuit ♡\heartsuit♡ \heartsuit ®\text{\textregistered}R◯ \text{\textregistered}
♢\diamonds♢ \diamonds ♡\hearts♡ \hearts Ⓢ\circledSⓈ \circledS
♠\spadesuit♠ \spadesuit ♠\spades♠ \spades a◯\text{\textcircled a}a◯ \text{\textcircled a}

✠\maltese✠ \maltese

https://katex.org/docs/supported.html#math-operators
https://blog.csdn.net/tonydz0523/article/details/88420049

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