Using Markdown + LaTeX

Abstracts may be authored using a mix of Markdown for most content, and LaTeX for mathematical typesetting. The editor below can be used to practice.

(Note: some math notation may not render correctly in some browsers - we're working to fix this!)

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## Markdown + $\LaTeX$ Example

Markdown supports [links](https://topology.pi-base.org), **bold** and
*italics*, and $\LaTeX$ mathematical typesetting:
$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.

Displaymode mathematics is supported by typing `$$` on separate lines
before and after your expression:

$$
\operatorname{proj}_{\vec u}\vec v =
\frac{\vec u\cdot\vec v}{\|\vec v\|^2}\,\vec v
$$

To create multiple paragarphs, insert a blank line between the paragraphs.

Markdown + LaTeX\LaTeXLATE​X Example

Markdown supports links, bold and italics, and LaTeX\LaTeXLATE​X mathematical typesetting: x=−b±b2−4ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=2a−b±b2−4ac ​​.

Displaymode mathematics is supported by typing $$ on separate lines before and after your expression:

proj⁡u⃗v⃗=u⃗⋅v⃗∥v⃗∥2 v⃗\operatorname{proj}_{\vec u}\vec v = \frac{\vec u\cdot\vec v}{\|\vec v\|^2}\,\vec vproju ​v =∥v ∥2u ⋅v ​v

To create multiple paragarphs, insert a blank line between the paragraphs.