EXAMPLE.md

$x$ math at the start of the document

Nested: $M = \text{while e^2 $e^2$ do $c^2$ end}$

This document is to test $\LaTeX$ rendering with markdown-preview-plus.

Numbered equations

$$ \begin{equation} \int_0^x \sin(x) dx \label{eq:test} \end{equation} $$

$\eqref{eq:test}$

Blockquotes

1. A block quote
2. With a list inside
3. With $math$

Math environment Syntax testing

Inline Math should work with $ $\frac{x+y}{y}$ and \( (\frac{x+y}{y})

Use \[ on separate lines:

[ \int_{-\infty}^\infty e^{-x^2} = \sqrt{\pi} ]

Use \[ on the same line:

[ \frac{-b \pm \sqrt{b^2-4ac}}{2a} ]

Use $$ on separate lines:

$$ a+b $$

Use $$ on the same line:

$$E=mc^2$$

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Some Tex Functions

$k \times k$, $n \times 2$, $2 \times n$, $\times$

$x \cdot y$, $\cdot$

$\sqrt{x^2+y^2+z^2}$

$\alpha \beta \gamma$

$$ \begin{aligned} x\ &= y\\ mc^2\ &= E \end{aligned} $$

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Escaped Math environments

In the following examples no math environments should render:

a $5, a $10 and a $100 Bill.

All McScrooge sees

$$

and even more:

$$

\[x+y] \(x+y)

$x

\$

\$, \[ \], $x$

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Testing \newcommand

For all $x$ and $y$ in $\mathbb{R}^k$ it is true that $$ \newcommand{sca}[1]{\langle #1 \rangle} |\sca{x,y}|^2 \le \sca{x,x} \cdot \sca{y,y}, $$

\newcommand{\scalong}[1]{(#1_1,\dots,#1_k)}

where $\sca{\cdot,\cdot}$ denotes the inner product $\sca{\scalong{x}, \scalong{x}} = \sum_{i=1}^k x_i y_i$.

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Testing several math fonts [ p(\mathbf{m}) \sim \mathcal{N}(\mathbf{m}) e^{-\sum_{i} \beta_i m_i} ]

[ \langle \vec{m} \rangle = \frac{1}{Z(\vec{\beta})}\vec{m}(\mu) \sum_{\mu\in\mathcal{G}} e^{-\vec{\beta}\cdot\vec{m}(\mu)} ]

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Notice below that the \[-separated display math doesn't have a blank line before and after (i.e. in an actual $\LaTeX$ document it wouldn't be placed in a separate paragraph):

The characteristic polynomial $\chi(\lambda)$ of the $3 \times 3$ matrix [ \left( \begin{array}{ccc} a & b & c \ d & e & f \ g & h & i \end{array} \right)] is given by the formula [ \chi(\lambda) = \left| \begin{array}{ccc} \lambda - a & -b & -c \ -d & \lambda - e & -f \ -g & -h & \lambda - i \end{array} \right|.]

This is a long line: $\chi(\lambda) = a e i-a e \lambda -a f h-a i \lambda +a \lambda ^2-b d i+b d \lambda +b f g+c d h-c e g+c g \lambda -e i \lambda +e \lambda ^2+f h \lambda +i \lambda ^2-\lambda ^3$

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Does it work in different MD elements?

Math $x^2$ in heading 1

Math $x^2$ in heading 2

Math $x^2$ in heading 3

Math $x^2$ in heading 4

$x_1, x_2, \dots, x_N$ should not conflict with _ italics?

$(fgh)(x)$ should not conflict with * syntax?

$a+b$ should not conflict link syntax?

math $x^2$ in emphasis

math $x^2$ in bold

math $x^2$ in link

math $x^2$ in code

math $x^2$ in strikethrough

In Tables

Left-Aligned	Center Aligned	Right Aligned
$a+b$	some wordy text	$1600
$a+b$	some wordy text	$1600
$a+b$	some wordy text	$1600

(only works with Pandoc)

Left-Aligned	Center Aligned	Right Aligned
$a+b$	some wordy text	$1600
	$$
A=\mathbf{A}=\underline{A}=\begin{pmatrix}
a_{11} & a_{12} & \cdots & a_{1n}\
a_{21} & a_{22} & \cdots & a_{2n}\
\vdots & \vdots & & \vdots\
a_{m1} & a_{m2} & \cdots & a_{mn}\
\end{pmatrix} = (a_{ij})
$$	$12
		$1

In Image Captions