WRITING MATH FOR THE WEB! Authorea supports LaTeX, a powerful typesetting program that renders beautiful math notation. In order to insert LaTeX: CLICK ON THE INSERT BUTTON IN THE TOOLBAR AND THEN SELECT LATEX FROM THE DROPDOWN. A LaTeX label shows next to the LaTeX block in which you can write LaTeX notation. Here are some tips for writing LaTeX in Authorea: 1. Click anywhere outside of the LaTeX block to render it. 2. Hover on Preview to see a Preview of the rendered content. 3. Do not paste an entire LaTeX article! Instead import documents from your homepage. 4. Only type LaTeX content in a LaTeX block, i.e. everything you would write after . 5. Do not type preamble (e.g. documentclass), frontmatter, macros or figures. 6. To add macros (newcommands) and packages, click Settings → Edit Macros 7. Use the Insert Figure button to insert images (and data). 8. Use math mode for equations, e.g. $\mathcal L_{EM}=-\frac14F^{\mu\nu}F_{\mu\nu}$. 9. Try the citation tool (click cite) to find and add citations, or use \cite{}. 10. To insert more LaTeX blocks click Insert → LaTeX. 11. You can use sectioning commands like \section{},\subsection{},\subsubsection{} to add headings.[1] THERE ARE DIFFERENT WAYS TO PRESENT A MATHEMATICAL EXPRESSION IN LATEX — _INLINE_, AS AN _EQUATION_ OR _DISPLAYSTYLE_. Inline mathematical expressions Inline expressions occur in the middle of a sentence. To produce an inline expression, place the math expression between dollar signs ($). For example, typing $E=mc^2$ yields E = mc². Equations Equations are mathematical expressions that are given their own line and are centered on the page. These are usually used for important equations that deserve to be showcased on their own line or for large equations that cannot fit inline. To produce an inline expression, place the mathematical expression between the symbols \[! and \verb!\]. Typing \[x=}{2a}\] yields \[x=}{2a}.\] Displaystyle To get full-sized inline mathematical expressions use \displaystyle. Typing I want this $\displaystyle ^{\infty} {n}$, not this $^{\infty} {n}$. yields: I want this $\displaystyle ^{\infty}{n}$, not this $^{\infty}{n}.$ SYMBOLS (IN _MATH_ MODE) The basics -------------------------- -------------- --------------- _description_ _command_ _output_ addition + + subtraction - − plus or minus \pm ± multiplication (times) \times × multiplication (dot) \cdot ⋅ division symbol \div ÷ division (slash) / / infinity \infty ∞ dots 1,2,3,\ldots 1, 2, 3, … dots 1+2+3+\cdots 1 + 2 + 3 + ⋯ fraction {b} ${b}$ square root $$ nth root \sqrt[n]{x} $\sqrt[n]{x}$ exponentiation a^b ab subscript a_b ab absolute value |x| |x| natural log \ln(x) ln(x) logarithms b logab exponential function e^x=\exp(x) ex = exp(x) degree \deg(f) deg(f) circle plus \oplus ⊕ circle times \otimes ⊗ equal = = not equal \ne ≠ less than < < less than or equal to \le ≤ greater than or equal to \ge ≥ approximately equal to \approx ≈ -------------------------- -------------- --------------- [1] You can toggle heading numbering on/off from the article settings. This footnote is generated via \footnote{}