Copy Paste MathJax

Proper superset

$$\supset$$

\supset

Superset

$$\supseteq$$

\supseteq

Proper subset

$$\subset$$

\subset

Subset

$$\subseteq$$

\subseteq

Empty set

$$\emptyset$$

\emptyset

Set intersection

$$\cap$$

\cap

Set-builder notation

$$\{ x|x \in \mathbb{Z} \land 0 \leq x \leq 10 \}$$

\{ x|x \in \mathbb{Z} \land 0 \leq x \leq 10 \}

Natural numbers

$$\mathbb{N}$$

\mathbb{N}

Real numbers

$$\mathbb{R}$$

\mathbb{R}

Integers

$$\mathbb{Z}$$

\mathbb{Z}

Rational numbers

$$\mathbb{Z}$$

\mathbb{Z}

Complex numbers

$$\mathbb{C}$$

\mathbb{C}

Imaginary numbers

$$\mathbb{I}$$

\mathbb{I}

Left arrow

$$\leftarrow, \longleftarrow, \Leftarrow, \Longleftarrow$$

\leftarrow, \longleftarrow, \Leftarrow, \Longleftarrow

Right arrow

$$\rightarrow, \longrightarrow, \Rightarrow, \Longrightarrow$$

\rightarrow, \longrightarrow, \Rightarrow, \Longrightarrow

Up arrow

$$\uparrow, \Uparrow$$

\uparrow, \Uparrow

Down arrow

$$\downarrow, \Downarrow$$

\downarrow, \Downarrow

Left and right arrow

$$\leftrightarrow, \longleftrightarrow, \Leftrightarrow, \Longleftrightarrow$$

\leftrightarrow, \longleftrightarrow, \Leftrightarrow, \Longleftrightarrow

Up and down arrow

$$\updownarrow, \Updownarrow$$

\updownarrow, \Updownarrow

Maplet arrow / maps to

$$\mapsto, \longmapsto$$

\mapsto, \longmapsto

Hook arrow

$$\hookleftarrow, \hookrightarrow$$

\hookleftarrow, \hookrightarrow

Harpoon arrows

$$\leftharpoonup, \rightharpoonup, \leftharpoondown, \rightharpoondown$$

\leftharpoonup, \rightharpoonup, \leftharpoondown, \rightharpoondown

Ordinal or Intercardinal direction arrows

$$\nearrow, \searrow, \swarrow, \nwarrow$$

\nearrow, \searrow, \swarrow, \nwarrow

Pythagoras Theorem

$$a^2 + b^2 = c^2$$

a^2 + b^2 = c^2

Theory of Relativity

$$E = mc^2$$

E = mc^2

Euler's Identity

$$e^{i\pi} + 1 = 0$$

e^{i\pi} + 1 = 0

Euler's polyhedron formula

$$F - E + V = 2$$

F - E + V = 2

Newton's law of gravity

$$F = G\frac{m_1 m_2}{d^2}$$

F = G\frac{m_1 m_2}{d^2}

Origin of complex numbers

$$i^2 = -1$$

i^2 = -1

de Morgan's Laws

$$\begin{align} \left ( E \cup F \right )' = E' \cap F' \\ \left ( E \cap F \right )' = E' \cup F' \end{align}$$

\begin{align} \left ( E \cup F \right )' = E' \cap F' \\ \left ( E \cap F \right )' = E' \cup F' \end{align}

Repeating decimals

$$0.\overline{324}$$

0.\overline{324}

Fraction

$$\frac{x}{y}$$

\frac{x}{y}

Exponent

$$a^2, x^y$$

a^2, x^y

Radical

$$\sqrt{9}, \sqrt[n]{x}$$

\sqrt{9}, \sqrt[n]{x}

Square Root

$$\sqrt{25}$$

\sqrt{25}

Logarithm

$$\log x, \log_{2}x$$

\log x, \log_{2}x

Absolute Value

$$\vert{x} \vert$$

\vert{x} \vert

Calligraphic font

$$\mathcal{R}, \mathcal{Z}, \mathcal{D}$$

\mathcal{R}, \mathcal{Z}, \mathcal{D}

Bars over symbols

$$\bar{a}, \bar{b}, \bar{c}$$

\bar{a}, \bar{b}, \bar{c}

Hats over symbols

$$\tilde{a}, \tilde{b}, \tilde{c}$$

\tilde{a}, \tilde{b}, \tilde{c}

Arrows over symbols

$$\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}$$

\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}

Dots over symbols

$$\dot{a}, \dot{b}, \dot{c}$$

\dot{a}, \dot{b}, \dot{c}

Spacing between symbols

$$a\;b\;c$$

a\;b\;c

Nabla (gradient)

$$\nabla f(x_0, y_0)$$

\nabla f(x_0, y_0)

Text

$$\text{Something}$$

\text{Something}

Sums with limits

$$\sum\limits_{i=1}^{n}i^2$$

\sum\limits_{i=1}^{n}i^2

Products with limits

$$\prod\limits_{i=1}^{n}i^2$$

\prod\limits_{i=1}^{n}i^2

Integrals with limits

$$\int\limits_{-\infty}^{\infty}f(x)\,\mathrm{d}x$$

\int\limits_{-\infty}^{\infty}f(x)\,\mathrm{d}x

Partial Derivative

$$\frac{\partial Q}{\partial t}, \frac{\partial^2L}{\partial x \partial y}$$

\frac{\partial Q}{\partial t}, \frac{\partial^2L}{\partial x \partial y}

Limits

$$\lim_{x\to 0} (1+x)^\frac{1}{x} = e$$

\lim_{x\to 0} (1+x)^\frac{1}{x} = e

Max

$$\max(1,2,3)$$

\max(1,2,3)

Min

$$\min(3,4,5)$$

\min(3,4,5)

vmatrix

$$\begin{vmatrix} a & b \\ c & d \end{vmatrix}$$

\begin{vmatrix} a & b \\ c & d \end{vmatrix}

pmatrix

$$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$$

\begin{pmatrix} a & b \\ c & d \end{pmatrix}

bmatrix

$$\begin{bmatrix} a & b \\ c & d \end{bmatrix}$$

\begin{bmatrix} a & b \\ c & d \end{bmatrix}

Bmatrix

$$\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}$$

\begin{Bmatrix} a & b \\ c & d \end{Bmatrix}

Vmatrix

$$\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}$$

\begin{Vmatrix} a & b \\ c & d \end{Vmatrix}

Partial

$$\partial$$

\partial

double dagger

$$\ddag$$

\ddag

copyright

$$\copyright$$

\copyright

center dots

$$1, \cdots$$

1, \cdots

diagonal dots

$$\ddots$$

\ddots

lower dots

$$1, \ldots$$

1, \ldots

vertical dots

$$\vdots$$

\vdots

Measured angle

$$\measuredangle$$

\measuredangle

Spherical angle

$$\sphericalangle$$

\sphericalangle

epsilon and varepsilon

$$\epsilon, \varepsilon$$

\epsilon, \varepsilon

theta and vartheta

$$\theta, \vartheta$$

\theta, \vartheta

kappa and varkappa

$$\kappa, \varkappa$$

\kappa, \varkappa

pi and varpi

$$\pi, \varpi$$

\pi, \varpi

rho and varrho

$$\rho, \varrho$$

\rho, \varrho

sigma and varsigmna

$$\sigma, \varsigma$$

\sigma, \varsigma

upsilon

$$\upsilon$$

\upsilon

phi and varphi

$$\phi, \varphi$$

\phi, \varphi

Big O

$$\mathcal{O}, O$$

\mathcal{O}, O

Small Omega

$$\omega$$

\omega

On the order of

$$\sim$$

\sim

Constant Time

$$O(1)$$

O(1)

Logarithmic Time

$$O(\log{}n)$$

O(\log{}n)

Quasilinear Time

$$O(n\log{}n)$$

O(n\log{}n)

Quadratic Time

$$O(n^2)$$

O(n^2)

Cubic Time

$$O(n^3)$$

O(n^3)

Factorial Time

$$O(n!)$$

O(n!)

Approximately equal

$$\approx$$

\approx

Less than or equal

$$\leq$$

\leq

Greater than or equal

$$\geq$$

\geq

Much greater than

$$\gg$$

\gg

sin

$$\sin \theta$$

\sin \theta

cos

$$\cos \theta$$

\cos \theta

tan

$$\tan \theta$$

\tan \theta

cot

$$\cot \theta$$

\cot \theta

sec

$$\sec \theta$$

\sec \theta

csc

$$\csc \theta$$

\csc \theta

arcsin

$$\arcsin \theta$$

\arcsin \theta

arccos

$$\arccos \theta$$

\arccos \theta

arctan

$$\arctan \theta$$

\arctan \theta