LaTeX Math

List of LaTeX symbols

No Markup

x = (a + b - c) * d / eCode language: TeX (tex)

\[ x = (a + b - c) * d / e \]

Simple Operations and Comments

% This line is a comment.
x = (a + b - c) \times d \div e Code language: TeX (tex)

\[ % This line is a comment. x = (a + b - c) \times d \div e \]

Fractions

x = \frac{a}{b}Code language: TeX (tex)

\[ x = \frac{a}{b} \]

Full-size Brackets

x = ( \frac{a}{b} )
x = \left( \frac{a}{b} \right)Code language: TeX (tex)

\[ x = ( \frac{a}{b} ) \] \[ x = \left( \frac{a}{b} \right) \]

Powers and Superscripts

x = 2^n
x = 2^{n-1}
f(x) = \frac{\sin^2(x)}{x^2}
X(z) = 1 + 2z^{-1} + 3(z^{-1})^2Code language: TeX (tex)

\[ x = 2^n \] \[ x = 2^{n-1} \] \[ f(x)=\frac{\sin^2(x)}{x^2} \] \[ X(z) = 1 + 2z^{-1} + 3(z^{-1})^2 \]

Subscripts

x_0 = x_n + 1
x_n = x_{n-1} + 1
A_{core} = \pi r_{core}^2
y = \log_2 x
y = \log_{10} xCode language: TeX (tex)

\[ x_0 = x_n + 1 \] \[ x_n = x_{n-1} + 1 \] \[ A_{core} = \pi r_{core}^2 \] \[ y = \log_2 x \] \[ y = \log_{10} x \]

Square Root

x = \sqrt{2}
r = \sqrt{x^2 + y^2}Code language: TeX (tex)

\[ x = \sqrt{2} \] \[ r = \sqrt{x^2 + y^2} \]

N-th Root

x = \sqrt[12]{2}Code language: TeX (tex)

\[ x = \sqrt[12]{2} \]

Greek Symbols

C = \pi d
\rho = m / V
\Delta L = \frac{F}{k}Code language: TeX (tex)

\[ C = \pi d \] \[ \rho = m / V \] \[ \Delta L = \frac{F}{k} \]

Quadratic Roots

0 = ax^2 + bx + c
x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}Code language: TeX (tex)

\[ 0 = ax^2 + bx + c \] \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]

Bars, Hats and Accents

\bar{x} = \hat{x}Code language: TeX (tex)

\[ \bar{x} = \hat{x} \]

Basic Spacing

ab
a\ b
a\,b
a~bCode language: TeX (tex)

\[ab\] \[a\ b\] \[a\,b\] \[a~b\]

Sum, Product and Integral

\sum\limits_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}
\sum\limits_{n=0}^{\infty} e^{\sigma n} z^{-n}
\prod\limits_{i=1}^n x = x^n
f(x)=\int_1^{\infty}\frac{1}{x^2}\,\mathrm{d}x=1
A_{sum} = \sqrt{\left( \sum_{i=1}^{n} A_i \cos(\phi_i) \right)^2 + \left( \sum_{i=1}^{n} A_i \sin(\phi_i)\right)^2}
A_{sum} = \sqrt{\left( \Sigma_{i=1}^{n} A_i \cos(\phi_i) \right)^2 + \left( \Sigma{i=1}^{n} A_i \sin(\phi_i)\right)^2}

Code language: TeX (tex)

\[ \sum\limits_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6} \] \[ \sum\limits_{n=0}^{\infty} e^{\sigma n} z^{-n} \] \[ \prod\limits_{i=1}^n x = x^n \] \[ f(x)=\int_1^{\infty}\frac{1}{x^2}\,\mathrm{d}x=1 \] \[ A_{sum} = \sqrt{\left( \sum_{i=1}^{n} A_i \cos(\phi_i) \right)^2 + \left( \sum_{i=1}^{n} A_i \sin(\phi_i)\right)^2} \] \[ A_{sum} = \sqrt{\left( \Sigma_{i=1}^{n} A_i \cos(\phi_i) \right)^2 + \left( \Sigma{i=1}^{n} A_i \sin(\phi_i)\right)^2} \]

Alignment

\begin{align*}
x^2 + y^2 &= 1 \\
y &= \sqrt{1 - x^2}
\end{align*}Code language: TeX (tex)

\begin{align*} x^2 + y^2 &= 1 \\ y &= \sqrt{1 - x^2} \end{align*}