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<!DOCTYPE html>
<html lang="" xml:lang="">
<head>
<title>Formulas with MathJax</title>
<meta charset="utf-8" />
<script src="libs/header-attrs-2.27/header-attrs.js"></script>
<link rel="stylesheet" href="xaringan-themer.css" type="text/css" />
<link rel="stylesheet" href="xaringan-my.css" type="text/css" />
</head>
<body>
<textarea id="source">
class: center, middle, inverse, title-slide
.title[
# Formulas with MathJax
]
---
## Inline math MathJax
- MathJax is a JavaScript library that displays mathematical notation using LaTeX, MathML, and AsciiMath markup
- Inline equations - use single "dollar sign" `$` to specify MathJax coding
``` text
$s^{2} = \frac{\sum(x-\bar{x})^2}{n-1}$
```
`\(s^{2} = \frac{\sum(x-\bar{x})^2}{n-1}\)`
.small[ Check out this online tutorial, it has everything about MathJax http://meta.math.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference ]
---
## Display math MathJax
Insertion of two dollar signs `$$` places your equation on a separate line and centers it:
``` text
$ \sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6} $
$$ \sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6} $$
```
Inline equation `\(\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}\)` on the same line. Or, self-standing equation on a separate line `$$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$`
---
## More useful codes
**Greek Letters**
``` text
$\alpha$ $\beta$ $\gamma$ $\chi$
$\Delta$ $\Sigma$ $\Omega$
```
**Greek Letters: (not all capitalized Greek letters available)**
`\(\alpha\)` `\(\beta\)` `\(\gamma\)` `\(\chi\)`
`\(\Delta\)` `\(\Sigma\)` `\(\Omega\)`
**superscripts `(^)` and subscripts `(_)`**
- Writing `x^2_i` renders as `\(x_i^2\)`
- Writing `log_2 x` renders as `\(log_2 x\)`
---
## Grouping with brackets
Use brackets {...} to delimit a set of characters containing a superscript or subscript. Notice the difference the grouping makes:
- Writing `${x^y}^z$` renders as `\({x^y}^z\)`
- Writing `$x^{y^z}$` renders as `\(x^{y^z}\)`
- Writing `$x_{ij}^2$` renders as `\(x_{ij}^2\)`
- Writing `$x_{i^2}$` renders as `\(x_{i^2}\)`
---
## Scaling
Add the scaling code `\left(` ... `\right)` to make automatic size adjustments
- Writing `$(\frac{\sqrt x}{y^3})$` renders as `\((\frac{\sqrt x}{y^3})\)`
- Writing `$\left(\frac{\sqrt x}{y^3}\right)$` renders as `\(\left(\frac{\sqrt x}{y^3}\right)\)`
---
## Sums and Integrals
Subscript (_) designates the lower limit; superscript (^) designates upper limit:
- Writing `$\sum_1^n$` renders to `\(\sum_1^n\)`
- Writing `$\sum_{i=0}^\infty i^2$` renders to `\(\sum_{i=0}^\infty i^2\)`
Other notable symbols:
``` text
$\prod$ $\infty$
$\bigcup$ $\bigcap$
$\int$ $\iint$
```
`\(\prod\)` `\(\infty\)`
`\(\bigcup\)` `\(\bigcap\)`
`\(\int\)` `\(\iint\)`
---
## Radical Signs
Use 'sqrt' code to show the square root of its argument. Note the use of `{}` to group arguments. Note the change in size of the square root function based on the code
- Writing `$\sqrt{x^3}$` renders to `\(\sqrt{x^3}\)`
- Writing `$\sqrt{3}{\frac xy}$` renders to `\(\sqrt{3}{\frac xy}\)`
---
## You can also change fonts!
``` text
$\mathbb or $Bbb for 'Blackboard bold"
$\mathbf for boldface
$\mathtt for 'typewritter' font
$\mathrm for roman font
$\mathsf for sans-serif
$\mathcal for 'caligraphy'
$\mathscr for script letter:
$\mathfrak for "Fraktur" (old German style)
```
`\(\mathbb {ABCDEFG}\)` `\(\mathbf {ABCDEFG}\)` `\(\mathtt {ABCDEFG}\)` `\(\mathrm {ABCDEFG}\)` `\(\mathsf {ABCDEFG}\)` `\(\mathcal {ABCDEFG}\)`
---
## You can also change fonts!
Some special functions such as "lim" "sin" "max" and "ln" are normally set in roman font instead of italic. Use `\lim`, `\sin` to make these (roman):
``` text
$\sin x$ (roman) vs. $sin x$ (italics)
```
`\(\sin x\)` (roman) vs. `\(sin x\)` (italics)
---
## And, add curly brackets
``` text
$$\begin{cases}
\widehat{IF_{1D}} = IF_{1D} - f(D)/2 \\
\widehat{IF_{2D}} = IF_{2D} + f(D)/2
\end{cases} \ (1)$$
```
`$$\begin{cases}
\widehat{IF_{1D}} = IF_{1D} - f(D)/2 \\
\widehat{IF_{2D}} = IF_{2D} + f(D)/2
\end{cases} \ (1)$$`
---
## RStudio bonus
Inline preview of forumlas and images in an RMarkdown document
.center[<img src="img/equation_preview_settings.png" height=380 >]
.small[ Preview online https://www.codecogs.com/latex/eqneditor.php]
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