\(\KaTeX\) Tests
This page tests \(\LaTeX\) rendering using \(\KaTeX\) 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
Automatic equation numbering is supported by KaTeX.
\[\begin{equation} \int_0^x \sin(x) dx \end{equation}\]\label and \eqref are not yet implemented.
Using manual tags and HTML links:
Link to equation \(\href{#eq:test}{(1)}\)
Blockquotes
- A block quote
- With a list inside
- With \(math\)
Math environment syntax testing
Inline Math should work with $$ \(\frac{x+y}{y}\)
but not \( (\frac{x+y}{y})
Use $$ on separate lines:
Use $$ 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
\$
\$, \[ \], $x$
Testing \newcommand
For all \(x\) and \(y\) in \(\mathbb{R}^k\) it is true that \(\newcommand{\sca}[1]{\langle #1 \rangle} |\sca{x,y}|^2 \le \sca{x,x} \cdot \sca{y,y},\)
\newcommand{\scalong}[1]{(#1_1,\dots,#1_k)}
where \(\sca{\cdot,\cdot}\) denotes the inner product \(\sca{\scalong{x}, \scalong{x}} = \sum_{i=1}^k x_i y_i\).
\(\newcommand{\scalong}[1]{(#1_1,\dots,#1_k)}\)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
\(\href{http://www.mathjax.org/}{\mathsf{link}}\) 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 | |
| $1 |
In image captions
The alt string doesn’t work
