therzka / math-test

Test page for math in Markdown

Fenced math code blocks

```math
\{n\in\mathbb{N}:\: n \text{even}\}
```

$$\{n\in\mathbb{N}:\: n \text{even}\}$$

Compare with xhub/KaTeX:

\{n\in\mathbb{N}:\: n \text{even}\}

Inline and display math

When $a \ne 0$, there are two solutions to $(ax^2 + bx + c = 0)$ and they are

$$ x = {-b \pm \sqrt{b^2-4ac} \over 2a}. $$

Inline math spanned over multiple lines: $\log xy = \log x + \log y$

Display math spanned over multiple lines:

$$ F = G \frac{m_1m_2}{r^2} $$

Cauchy's Theorem

Let $U$ be an open subset of the complex plane $\mathbb{C}$, and suppose the closed disk $D$ defined as

$$ D = {z:|z-z_{0}|\leq r} $$

is completely contained in $U$. Let $f: U\to\mathbb{C}$ be a holomorphic function, and let $\gamma$ be the circle, oriented counterclockwise, forming the boundary of $D$. Then for every $a$ in the interior of $D$,

$$ f(a) = \frac{1}{2\pi i} \oint_{\gamma}\frac{f(z)}{z-a},dz. $$

Math in lists

• $E = mc^2$
• $a^2 + b^2 = c^2$

1. $V - E + F = 2$
2. $i^2 = -1$

Math in titles $\exp(i\pi) + 1 = 0$

Math in tables

The Butcher tableau for this ERK method is

$0$
$1/2$	$1/2$
$1/2$	$0$	$1/2$
$1$	$0$	$0$	$1$
	$1/6$	$1/3$	$1/3$	$1/6$

Global newcommands

Newcommand block (no output):

$$ \newcommand\myexp[1]{e^{#1}} $$

Inline math that uses the newcommand: $\myexp{i}$

Display that uses the newcommand:

$$ \myexp{i} $$

$-confusion

• An apple costs $1, a pear $.

  An apple costs $1, a pear $2.

• An apple costs 1$, a pear 2$.

  An apple costs 1$, a pear 2$.

• Let's try $x $y $ here.

  Let's try $x $y $ here.

• $x = \text{my $y$}$

  $x = \text{my $y$}$

• $x =\$$

  $x =$$

Font size comparison

ABC $ABC XYZ$ XYZ

abc $abc xyz$ xyz

Other LaTeX commands

• $$
  \{n\in\mathbb{N}:\: n \text{even}\}
  $$
  

  $$ {n\in\mathbb{N}:: n \text{even}} $$

• a <b > c
  

  $$ a c $$

Fenced math code blocks

```math
\{n\in\mathbb{N}:\: n \text{even}\}
```

\{n\in\mathbb{N}:\: n \text{even}\}