mathjax.js

Basic Examples

Inline equation: $x$

Display equation: $x$

Fraction: $\frac{x}{2}$

Binom: $(\binom{n}{k})$

Subcript and Superscripts: $x_{2} + y^{3} + a_{1}^{2}$

Multiscripts: ${}_{5}^{6}_{7}^{8}{BASE}_{1}^{2}_{3}^{4}$

Underscripts and Overscripts: $\underset{2}{x} + \overset{3}{y} + a_{1}^{2}$

Roots: $\sqrt{x} + \sqrt[3]{x}$

menclose element: $top bottom left right madruwb actuarial box roundedbox circle horizontalstrike top left horizontalstrike$

table: $| \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} | = 0$

Token elements: $x such that x \leq 10$ ; $x$ ; $x$

mathvariants: $normal bold italic bold-italic sans-serif monospace bold-italic bold-sans-serif sans-serif-italic sans-serif-bold-italic$

phantom element: $x + y$

merror element: $missing argument$

annotation: $\frac{x}{y}$

More complex examples

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\sum_{n=1}^{+\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

f(x)=\sum_{n=-\infty}^\infty c_n e^{2\pi i(n/T) x} =\sum_{n=-\infty}^\infty \hat{f}(\xi_n) e^{2\pi i\xi_n x}\Delta\xi

\Gamma(t) = \lim_{n \to \infty} \frac{n! \; n^t}{t \; (t+1)\cdots(t+n)}= \frac{1}{t} \prod_{n=1}^\infty \frac{\left(1+\frac{1}{n}\right)^t}{1+\frac{t}{n}} = \frac{e^{-\gamma t}}{t} \prod_{n=1}^\infty \left(1 + \frac{t}{n}\right)^{-1} e^{\frac{t}{n}}

\mathfrak{sl}(n, \mathbb{F}) = \left\{ A \in \mathscr{M}_n(\mathbb{F}) : \operatorname{Tr}(A) = 0 \right\}

x^2 y^2

\multiscripts{_2}{F}{_3}

\frac{x+y^2}{k+1}

x+y^{\frac 2 {k+1}}

\frac{a}{b/2}

\displaystyle a_0 + \frac{1}{\displaystyle a_1+\frac{1}{\displaystyle a_2+\frac{1}{\displaystyle a_3+\frac{1}{\displaystyle a_4}}}}

\binom{n}{k/2}

\binom{p}{2} x^2 y^{p-2} - \frac{1}{1-x} \frac{1}{1-x^2}

\sum_{\substack{ 0 \le i \le m \\ 0 < j < n }} {P(i,j)}

x^{2y}

\sum_{i=1}^p \sum_{j=1}^q \sum_{k=1}^r {a_{i j} b_{j k} c_{k i}}

\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+x}}}}}}}

\left( \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} \right) {| \varphi(x+ i y)|}^2 = 0

2^{2^{2^x}}

\int_1^x \frac{dt}{t}

\iint_D {dx dy}

f(x) = \begin{cases} 1/3 & \text{if} \quad 0 \leq x \leq 1; \\ 2/3 & \text{if} \quad 3 \leq x \leq 4; \\ 0 & \text{elsewhere}. \end{cases}

y_{x^2}

\begin{pmatrix} \begin{pmatrix} a & b \\ c & d \end{pmatrix} & \begin{pmatrix} e & f \\ g & h \end{pmatrix} \\ 0 & \begin{pmatrix} i & j \\ k & l \end{pmatrix} \end{pmatrix}

\det \begin{vmatrix} c_0 & c_1 & c_2 & \dots & c_n \\ c_1 & c_2 & c_3 & \dots & c_{n+1} \\ c_2 & c_3 & c_4 & \dots & c_{n+2} \\ \vdots & \vdots & \vdots & & \vdots \\ c_n & c_{n+1} & c_{n+2} & \dots & c_{2n} \end{vmatrix} > 0

y_{x_2}

x^31415_92 + \pi

x^{z^d_c}_{y_b^a}

y_3'''

\begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned}

\begin{aligned} \dot{x} & = \sigma(y-x) \\ \dot{y} & = \rho x - y - xz \\ \dot{z} & = -\beta z + xy \end{aligned}

\mathbf{V}_1 \times \mathbf{V}_2 = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ \frac{\partial X}{\partial u} & \frac{\partial Y}{\partial u} & 0 \\ \frac{\partial X}{\partial v} & \frac{\partial Y}{\partial v} & 0 \end{vmatrix}

P(E) = {n \choose k} p^k (1-p)^{ n-k}

\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\ldots} } } }

1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for} \quad |q| < 1.

\begin{aligned} \nabla \times \vec{\mathbf{B}} -\, \frac1c\, \frac{\partial\vec{\mathbf{E}}}{\partial t} & = \frac{4\pi}{c}\vec{\mathbf{j}} \\ \nabla \cdot \vec{\mathbf{E}} & = 4 \pi \rho \\ \nabla \times \vec{\mathbf{E}}\, +\, \frac1c\, \frac{\partial\vec{\mathbf{B}}}{\partial t} & = \vec{\mathbf{0}} \\ \nabla \cdot \vec{\mathbf{B}} & = 0 \end{aligned}