deep-music-visualizer-showdown/content/post/2017-03-05-math-sample.md

---
title: Math Sample
subtitle: Using KaTeX
date: 2017-03-05
tags: ["example", "math"]
_build:
  list: never
---

KaTeX can be used to generate complex math formulas. It supports in-line math using the `\\( ... \\)` delimiters, like this: \\( E = mc^2 \\). By default, it does *not* support in-line delimiters `$...$` because those occur too commonly in typical webpages. It supports displayed math using the `$$` or `\\[...\\]` delimiters, like this:

Formula 1:
$$
\phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots
$$

Formula 2: (same formula, different delimiter)
\\[
\phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots
\\]

Additional details can be found on [GitHub](https://github.com/Khan/KaTeX) or on the [Wiki](http://tiddlywiki.com/plugins/tiddlywiki/katex/).
<!--more-->

### Example 1

If the text between $$ contains newlines it will rendered in display mode:
```
$$
f(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi
$$
```
$$
f(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi
$$


### Example 2
```
$$
\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }
$$
```
$$
\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }
$$


### Example 3
```
$$
1 +  \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1.
$$
```
$$
1 +  \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1.
$$

### Example 4

Remember, certain characters are rendered by markdown, so you may need to workaround those issues. You can find the complete list of KaTeX supported functions here: [https://khan.github.io/KaTeX/docs/supported.html](https://khan.github.io/KaTeX/docs/supported.html)

For example, the `'` character can  be replaced with `^\prime`:

$$
G^\prime = G - u
$$

The `"` character can  be replaced with `^{\prime\prime}`:

$$
G^{\prime\prime} = G^\prime - v
$$
Pages/Hugo 2019-11-13 23:23:21 +01:00			`---`
			`title: Math Sample`
			`subtitle: Using KaTeX`
			`date: 2017-03-05`
			`tags: ["example", "math"]`
Hide original template posts and add an example competition entry 2021-12-01 13:00:43 +01:00			`_build:`
			`list: never`
Pages/Hugo 2019-11-13 23:23:21 +01:00			`---`

			KaTeX can be used to generate complex math formulas. It supports in-line math using the `\\( ... \\)` delimiters, like this: \\( E = mc^2 \\). By default, it does not support in-line delimiters `$...$` because those occur too commonly in typical webpages. It supports displayed math using the `$$` or `\\[...\\]` delimiters, like this:

			`Formula 1:`
			`$$`
			`\phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots`
			`$$`

			`Formula 2: (same formula, different delimiter)`
			`\\[`
			`\phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots`
			`\\]`

			`Additional details can be found on [GitHub](https://github.com/Khan/KaTeX) or on the [Wiki](http://tiddlywiki.com/plugins/tiddlywiki/katex/).`
			`<!--more-->`

			`### Example 1`

			`If the text between $$ contains newlines it will rendered in display mode:`
			```
			`$$`
			`f(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi`
			`$$`
			```
			`$$`
			`f(x) = \int_{-\infty}^\infty\hat f(\xi)\,e^{2 \pi i \xi x}\,d\xi`
			`$$`


			`### Example 2`
			```
			`$$`
			`\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }`
			`$$`
			```
			`$$`
			`\frac{1}{\Bigl(\sqrt{\phi \sqrt{5}}-\phi\Bigr) e^{\frac25 \pi}} = 1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}} {1+\frac{e^{-8\pi}} {1+\cdots} } } }`
			`$$`


			`### Example 3`
			```
			`$$`
			`1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1.`
			`$$`
			```
			`$$`
			`1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = \prod_{j=0}^{\infty}\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \quad\quad \text{for }\lvert q\rvert<1.`
			`$$`

			`### Example 4`

			`Remember, certain characters are rendered by markdown, so you may need to workaround those issues. You can find the complete list of KaTeX supported functions here: [https://khan.github.io/KaTeX/docs/supported.html](https://khan.github.io/KaTeX/docs/supported.html)`

			For example, the `'` character can be replaced with `^\prime`:

			`$$`
			`G^\prime = G - u`
			`$$`

			The `"` character can be replaced with `^{\prime\prime}`:

			`$$`
			`G^{\prime\prime} = G^\prime - v`
			`$$`