MathJax Tests

This page tests \(\mathrm{\LaTeX}\) rendering using MathJax v3 with just-the-docs as a remote theme.

It was copied from a test in markdown-preview-plus, and adjusted to use kramdown math blocks.

\(x\) math at the start of a line

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

Numbered equations

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

Link to equation \(\eqref{eq:test}\)


  1. A block quote
  2. With a list inside
  3. With \(math\)

Math environment syntax testing

Inline Math should work with $$ \(\frac{x+y}{y}\) but not \( (\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:


Use $$ on the same line: \(E=mc^2\)

Some Tex functions

\(k \times k\), \(n \times 2\), \(2 \times n\), \(\times\)

\(x \cdot y\), \(\cdot\)

\[\sqrt{x^2+y^2+z^2}\] \[\alpha \beta \gamma\] \[\begin{aligned} x\ &= y\\ mc^2\ &= E \end{aligned}\]

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)


\$, \[ \], $x$

Testing \newcommand

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


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

\(\newcommand{\scalong}[1]{(#1_1,\dots,#1_k)}\)where \(\sca{\cdot,\cdot}\) denotes the inner product \(\sca{\scalong{x}, \scalong{x}} = \sum_{i=1}^k x_i y_i\).

Testing several math fonts

\[p(\mathbf{m}) \sim \mathcal{N}(\mathbf{m}) e^{-\sum_{i} \beta_i m_i}\] \[\langle \vec{m} \rangle = \frac{1}{Z(\vec{\beta})}\vec{m}(\mu) \sum_{\mu\in\mathcal{G}} e^{-\vec{\beta}\cdot\vec{m}(\mu)}\]

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

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?

\((f*g*h)(x)\) should not conflict with * syntax?

\([a+b](c+d)\) should not conflict with link syntax?

math \(x^2\) in emphasis

math \(x^2\) in bold

math \(x^2\) in link

\(\href{}{\mathsf{link}}\) in math

math $$x^2$$ in code

math \(x^2\) in strikethrough (doesn’t strike through the math)

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

The following works only when the matrix is all on one line, due to a kramdown limitation:

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

In image captions

The alt string doesn’t work