Examples | Show MathML

Basic formulas
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10
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x
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4x
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\sin x
(1)		<math ...
4+x
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3\leq8.3
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\frac12
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\frac24
(1)		<math ...
\frac{-x}2
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x^2-1
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A_j
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\sqrt x
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\sqrt[3]8=2
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\left(1,2\right)
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\left|x-1\right|<\varepsilon
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\pm\infty
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\varnothing=\{\;\}
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A\cap B\cup C
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a_1\times a_2
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4\in\left\{2,4,6\right\}
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\left\{\frac12\left(x^4-3\right)\right
\}^\frac12
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Format
\mathbf z=\mathbf u+\mathbf v
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1{\color[rgb]{1.0, 0.0, 0.0}+}2{
\color[rgb]{0.0, 0.0, 1.0}=}3
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\mathbf4\mathrm x+\mathbf2\mathrm y
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\style{font-size:24px}{{
\color[rgb]{0.0, 0.5, 0.0}\mathit2}{
\color[rgb]{0.0, 0.5, 0.0}-}{
\color[rgb]{0.0, 0.5, 0.0}\frac{
\mathit1}{\mathit3}}}
(1)		<math ...
\style{font-family:'Times New Roman'}{f'(x)={
\textstyle\frac12}x^2}
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\style{font-family:'Courier New'}{a^2-b^2}
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Arrows
a\Rightarrow b
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x\overset{\text{maps to}}\mapsto y
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a_1\times\cdots\times a_n
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\overset\rightharpoonup{AB}=-\overset
\rightharpoonup{BA}
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Symbols
1+2\times3-4\div5
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8\pm0.001
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f\ast(x)
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(f\circ g)(x\cdot y)
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2pr^2
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15^\circ30'60''
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f'(x)g(x)+f(x)g'(x)
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x+1=1-x
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A\equiv B
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4.99\sim5
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\pi\approx3.1415
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0\leq x,\;0\leqslant x
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5\lneq6
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x\in A\cap B
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\{2,4\}\subset\{1,2,3,4\}
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\forall\varepsilon\exists\delta
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\neg p\vee p
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(a\vee b)\wedge(c\vee d)
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\angle a
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r\parallel s
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r\perp s
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3\in\mathbb{N}
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\pi\in\mathbb{R}\setminus\mathbb{Q}
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\Re(4+3i)=4
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error: Error converting from MathML to LaTeX
(1)		<math ...
error: Error converting from MathML to LaTeX
(1)		<math ...
\mathcal H=\sum_i{\dot q}_i\frac{
\partial\mathcal L}{\partial{\dot q}_i}-
\mathcal L
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{\mathcal R}_{\mathcal Q}\;\cong\;T_{
\mathcal Q}
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\mathfrak p\;\supset\;\mathfrak{ab}\;
\Rightarrow\mathfrak p\supset\mathfrak a
\;\vee\;\mathfrak p\;\supset\mathfrak b
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\mathcal B=\{B_\alpha\in\mathcal T\,
\vert\,U=\bigcup B_\alpha\forall U\in
\mathcal T\}
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A\oplus B
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i\leftarrow i+1
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x\mapsto x^2+1
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x<3\wedge x\Rightarrow-2\Rightarrow x
\leqslant-2
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\square\neq\bigcirc
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a\nparallel b,\;A\not\ni x
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Greek letters
\cos(\alpha\pm\beta)=\cos\alpha\cos\beta
\mp\sin\alpha\sin\beta
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\sin(\theta+\frac\pi2)=\cos\theta
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\mathrm\Omega=\frac{\mathrm V}{
\mathrm A}
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\varphi(x)+\psi(y)+\xi(z)
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Matrices
\begin{bmatrix}1\\2\end{bmatrix}
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\begin{pmatrix}x\\y\end{pmatrix}
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\begin{pmatrix}1&\;&\;\\\;&1&\;\\\;&\;&1
\end{pmatrix}
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\begin{vmatrix}\sin(x)&\cos(x)\\-
\cos(x)&\sin(x)\end{vmatrix}=1
(1)		<math ...
\left\{\begin{array}{c}x+1\\x-1
\end{array}\right.
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f(x)=\left\{\begin{array}{lc}x,&
\text{if }x\leqslant0\\\sin(x),&
\text{if }x>0\end{array}\right.
(1)		<math ...
\begin{array}{rcl}x^5+1&=&x^4-y\\x&=&{
\textstyle\frac12}y+3\end{array}
(1)		<math ...
\begin{array}{rcl}(2+3)^2&=&(5)^2
\\\;&=&25\end{array}
(1)		<math ...
Script and layout
{\textstyle\frac12}\;5
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3+\frac1{7+\frac1{...}}
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\sqrt{1-x}
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\sqrt[3]2
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\sqrt[n]{x^n+y^n}
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\sqrt[n+1]a
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(\mathrm{OH})_4^-
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{}_{92}^{235}\mathrm U
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(AB)_i^j=A_i^kB_k^j
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\mathrm{Zn}+2\mathrm H^+\rightarrow
\mathrm{Zn}^{2+}+{\mathrm H}_2
(1)		<math ...
\overset8{3+5}
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\underset{(2\;\mathrm{degree})}{3x^2-2}
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\underbrace{1+2}_3
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\overbrace{\underbrace{1+2}_3+3}^5
(1)		<math ...
Decorations
\left\langle\frac12\right\rangle
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{\textstyle\frac43}=1'\overset\frown3
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\overrightarrow u+\overrightarrow v
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\overline{x+\overline y}
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x^\boxed5-x^2+\boxed3
(1)		<math ...
\frac{a\cdot{\color[rgb]{1.0, 0.0, 0.0}
\cancel{\color[rgb]{0.1, 0.1, 0.1}b}}
\cdot{\color[rgb]{0.0, 0.0, 1.0}
\bcancel{\color[rgb]{0.1, 0.1, 0.1}d}}
\cdot{\color[rgb]{0.0, 0.5, 0.0}
\bcancel{
\color[rgb]{0.1, 0.1, 0.1}e}}}{{
\color[rgb]{1.0, 0.0, 0.0}\cancel{
\color[rgb]{0.1, 0.1, 0.1}b}}\cdot c
\cdot{\color[rgb]{0.0, 0.0, 1.0}
\bcancel{\color[rgb]{0.1, 0.1, 0.1}d}}
\cdot f\cdot{\color[rgb]{0.0, 0.5, 0.0}
\bcancel{\color[rgb]{0.1, 0.1, 0.1}e}}}
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Big operators
\sum_{i=1}^n2^i
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\underset{q(\beta)=0}{\prod_{p(
\alpha)=0}}(\alpha-\beta)
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\sum\nolimits_{i=1}^\infty\frac1{i^2}
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\bigcap_{x\in A}A
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Calculus
\int_0^1x^2-2dx
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\int_wdf=\int_{\partial w}f
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\frac{\partial^2f}{\partial x\partial y}
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\frac{d\sin(x)}{dx}=-\cos(x)
(1)		<math ...
\lim_{n\rightarrow\infty}\left(1+\frac1n
\right)^n
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\lim_{x\nearrow a}\;f(a)
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\triangle u=u_{xx}+u_{yy}+u_{zz}
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\oint_{x^2+y^2=r}g(x,y)dx+h(x,y)dy
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Elementary
error: Error converting from MathML to LaTeX
(1)		<math ...
error: Error converting from MathML to LaTeX
(1)		<math ...
error: Error converting from MathML to LaTeX
(1)		<math ...
error: Error converting from MathML to LaTeX
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(1) Partial equivalence due to expressiveness differences between MathML and LaTeX languages.