LaTeX Mathematical Symbol Examples & Cheatsheet (Markdown)

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Basic Arithmetic Operations & Notations

\[<> \leq \geq \neq\]
$$<> \leq \geq \neq$$
\[\times \div \pm \mp\]
$$\times \div \pm \mp$$
\[\frac{\sqrt{abc}}{\sqrt[3]{xyz}}\cdot\max(x)\times|y|\div{\|\bar{x}\|}\approx\theta \cup \alpha \cap \beta \oplus \lambda\]
$$\frac{\sqrt{abc}}{\sqrt[3]{xyz}}+\max(x)\times
|y|\div{\|\bar{x}\|}}\approx\theta \cup \alpha \cap
\beta \oplus \lambda$$
\[\pi, \chi, \epsilon, \eta, \gamma,\phi, \psi\]
$$\pi, \chi, \epsilon, \eta, \gamma, \phi, \psi$$
\[\rho, \sigma, \Phi, \Psi, \delta, \Delta, \tau\]
$$\rho, \sigma, \Phi, \Psi, \delta, \Delta, \tau$$
\[\hat{x}, \widehat{abc}, \overrightarrow{xyz}\]
$$\hat{x}, \widehat{abc}, \overrightarrow{xyz}$$

Parentheses

\[\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)\]
$$\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$$
\[[ ] \{ \}\]
$$[ ] \{ \}$$

Subs & Sups

\[x_i^2, \log_2 x, x_{i^2}, 10^{10}\]
$$x_i^2, \log_2 x, x_{i^2}, 10^{10}$$
\[{x^y}^z,x^{y^z}\]
$${x^y}^z, x^{y^z}$$

Function names

\[\sin(x), \tan(x), \arctan(y), \Pr(Y<=y_i), \ln(2), \log_2(8)\]
$$\sin(x), \tan(x), \arctan(y), \Pr(Y<=y_i), \ln(2), \log_2(8)$$

Limits, derivatives & integrals

\[\frac{d}{dx}f(x) = f'(x)\]
$$\frac{d}{dx}f(x) = f'(x)$$
\[\lim_{\Delta{x}\to0}\frac{f(x+\Delta{x})-f(x)}{\Delta{x}} = \frac{d}{dx}f(x)\]
$$\lim_{\Delta{x}\to0}\frac{f(x+\Delta{x})-f(x)}
{\Delta{x}} = \frac{d}{dx}f(x)$$
\[\int_a^b\int_\infty^{-\infty}f(x,y)dxdy\]
$$\int_a^b\int_\infty^{-\infty}f(x,y)dxdy$$
\[\iiint_{D}f(x,y,z)dxdydz\]
$$\iiint_{D}f(x,y,z)dxdydz$$
\[\frac{\partial}{\partial{x}}f(x,y)\]
$$\frac{\partial}{\partial{x}}f(x,y)$$

Sets

\[\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing\]
$$\cup \cap \setminus \subset \subseteq \subsetneq
\supset \in \notin \emptyset \varnothing$$
\[{n+1 \choose 2k}\]
$${n+1 \choose 2k}$$

Sums & prods

\[f(x) = \sum_{i=0}^n x^{i} + \prod_{i=0}^n x^{i}\]
$$f(x) = \sum_{i=0}^n x^{i} + \prod_{i=0}^n x^{i}$$

Matrix & vectors

\[\left( \begin{array}{cc} 2\vec{\tau} & 7\phi-\frac{5}{12} \\3\psi & \frac{\pi}8 \end{array} \right)\]
$$\left( \begin{array}{cc} 2\vec{\tau} & 7\phi-\frac{5}{12}
\\3\psi & \frac{\pi}8 \end{array} \right)$$
\[\left[ \begin{array}{lcr} \mbox{First number} & x & 8 \\ \mbox{Second number} & y & 15 \\ \mbox{Sum} & x + y & 23 \\ \mbox{Difference} & x - y & -7 \\ \mbox{Product} & xy & 120 \end{array}\right]\]
$$\left[ \begin{array}{lcr}
\mbox{First number} & x & 8 \\
\mbox{Second number} & y & 15 \\
\mbox{Sum} & x + y & 23 \\
\mbox{Difference} & x - y & -7 \\
\mbox{Product} & xy & 120 \end{array}\right] $$

All the examples from the above are summarized from the following resources:

Here is a useful online markdown & LaTeX editor.

Online math geometry graphing tool from math10.com.

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