[KaTeX](https://katex.org/) 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: `\$`.
> We're all hurtling towards death. Yet here we are, for the moment, alive. Each of us knowing we're going to die. Each of us secretly believing we won't.
