ROUGH DRAFT authorea.com/22978

# Writing math for the web!

Authorea supports LaTeX, a powerful typesetting program that renders beautiful math notation. There are two ways to present a mathematical expression— inline or as an equation.

# Symbols (in math mode)

## The basics

 description command output addition + $$+$$ subtraction - $$-$$ plus or minus \pm $$\pm$$ multiplication (times) \times $$\times$$ multiplication (dot) \cdot $$\cdot$$ division symbol \div $$\div$$ division (slash) / $$/$$ infinity \infty $$\infty$$ dots 1,2,3,\ldots $$1,2,3,\ldots$$ dots 1+2+3+\cdots $$1+2+3+\cdots$$ fraction \frac{a}{b} $$\frac{a}{b}$$ square root \sqrt{x} $$\sqrt{x}$$ $$n$$th root \sqrt[n]{x} $$\sqrt[n]{x}$$ exponentiation a^b $$a^{b}$$ subscript a_b $$a_{b}$$ absolute value |x| $$|x|$$ natural log \ln(x) $$\ln(x)$$ logarithms \log_{a}b $$\log_{a}b$$ exponential function e^x=\exp(x) $$e^{x}=\exp(x)$$ degree \deg(f) $$\deg(f)$$ circle plus \oplus $$\oplus$$ circle times \otimes $$\otimes$$ equal = $$=$$ not equal \ne $$\ne$$ less than < $$<$$ less than or equal to \le $$\le$$ greater than or equal to \ge $$\ge$$ approximately equal to \approx $$\approx$$

## Functions

 description command output maps to \to $$\to$$ composition \circ $$\circ$$

## Greek and Hebrew letters

 command output command output \alpha $$\alpha$$ \tau $$\tau$$ \beta $$\beta$$ \theta $$\theta$$ \chi $$\chi$$ \upsilon $$\upsilon$$ \delta $$\delta$$ \xi $$\xi$$ \epsilon $$\epsilon$$ \zeta $$\zeta$$ \varepsilon $$\varepsilon$$ \Delta $$\Delta$$ \eta $$\eta$$ \Gamma $$\Gamma$$ \gamma $$\gamma$$ \Lambda $$\Lambda$$ \iota $$\iota$$ \Omega $$\Omega$$ \kappa $$\kappa$$ \Phi $$\Phi$$ \lambda $$\lambda$$ \Pi $$\Pi$$ \mu $$\mu$$ \Psi $$\Psi$$ \nu $$\nu$$ \Sigma $$\Sigma$$ \omega $$\omega$$ \Theta $$\Theta$$ \phi $$\phi$$ \Upsilon $$\Upsilon$$ \varphi $$\varphi$$ \Xi $$\Xi$$ \pi $$\pi$$ \aleph $$\aleph$$ \psi $$\psi$$ \beth $$\beth$$ \rho $$\rho$$ \daleth $$\daleth$$ \sigma $$\sigma$$ \gimel $$\gimel$$

## Vectors

 description command output vector \vec{v} $$\vec{v}$$ vector \mathbf{v} $$\mathbf{v}$$ norm ||\vec{v}|| $$||\vec{v}||$$