Katex examples

$\KaTeX$

$\KaTeX$ is a fast and easy-to-use library that enables the rendering of mathematical notation, using LaTeX syntax.

You can use $\KaTeX$ inline by wrapping the expression between $ or between \\( and \\).

For example, $ \sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n + 1)!} x^{2n + 1} $ would render: $ \sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n + 1)!} x^{2n + 1} $

To display the expression on its own line and centered, wrap it around $$ or between \\[ and \\].

For example, \\[ r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - \bar{x})^2}\sqrt{\sum_{i=1}^{n}(y_i - \bar{y})^2}} \\] renders: \[ r = \frac{\sum_{i=1}^{n}(x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n}(x_i - \bar{x})^2}\sqrt{\sum_{i=1}^{n}(y_i - \bar{y})^2}} \]

To activate $\KaTeX$ for a post, include katex = true within the [extra] section of the post's front matter. For enhanced performance and security, the JavaScript, CSS, and fonts are hosted locally.

Note: After enabling $\KaTeX$, if you want to use $ without rendering a mathematical expression, escape it with a single backslash: \$.