Tex
Tex (via Mathjax) can be used to markup math statements.
mdbook supports Mathjax, which is a tex-like flavor for writing math.
This page is a mathjax syntax dump, showing some common use cases.
Matrices
Standard matrix (column vector), 3x1
\begin{bmatrix}1\\\\0\\\\8\end{bmatrix}
\( \begin{bmatrix}1\\0\\8\end{bmatrix} \)
Row vector, 1x3
\begin{bmatrix}1 & 3 & 7\end{bmatrix}
\( \begin{bmatrix}1 & 3 & 7\end{bmatrix} \)
Standard matrix, 3x3
Code:
\begin{bmatrix}4 & 0 & 0\\\\0 & 3 & 0\\\\0 & 0 & 2\end{bmatrix}
\( \begin{bmatrix}4 & 0 & 0\\0 & 3 & 0\\0 & 0 & 2\end{bmatrix} \)
Augmented matrix, 4x4
Code:
[ A | I ] =
\\\\\\\\\\\\\\\\\
\left[\begin{array}{cccc|cccc}
0 & 0 & 0 & 2 & 1 & 0 & 0 & 0 \\\\
0 & 0 & 3 & 0 & 0 & 1 & 0 & 0 \\\\
0 & 4 & 0 & 0 & 0 & 0 & 1 & 0 \\\\
5 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\\\
\end{array}\right].
\(
[ A | I ] =
\\\\\\\\
\left[\begin{array}{cccc|cccc}
0 & 0 & 0 & 2 & 1 & 0 & 0 & 0 \\
0 & 0 & 3 & 0 & 0 & 1 & 0 & 0 \\
0 & 4 & 0 & 0 & 0 & 0 & 1 & 0 \\
5 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \\
\end{array}\right].
\)
Sets
- \( \lbrace \)
\lbrace - \( \rbrace \)
\rbrace - \( \cup \)
\cup - \( \cap \)
\cap - \( \setminus \)
\setminus - \( \subset \)
\subset - \( \subseteq \)
\subseteq - \( \subsetneq \)
\subsetneq - \( \supset \)
\supset - \( \in \)
\in - \( \notin \)
\notin - \( \emptyset \)
\emptyset - \( \varnothing \)
\varnothing
Sums
- \( \sum_{i=0}^\infty i^2 \)
\sum\sum_{i=0}^\infty i^2
- \( \bigcap \)
\bigcap - \( \bigcup \)
\bigcup - \( \prod \)
\prod - \( \int \)
\int
Logic
- \( \land \)
\land - \( \lor \)
\lor - \( \lnot \)
\lnot - \( \forall \)
\forall - \( \exists \)
\exists - \( \top \)
\top - \( \bot \)
\bot - \( \vdash \)
\vdash - \( \vDash \)
\vDash
Comparison
-
\( \neq \)
\neq -
\( \lt \)
\lt -
\( \le \)
\le -
\( \leq \)
\leq -
\( \leqq \)
\leqq -
\( \leqslant \)
\leqslant -
\( \gt \)
\gt -
\( \ge \)
\ge -
\( \geq \)
\geq -
\( \geqq \)
\geqq -
\( \geqslant \)
\geqslant
Approximate
- \( \approx \)
\approx - \( \sim \)
\sim - \( \thicksim \)
\thicksim - \( \backsim \)
\backsim
Fonts
- \( \mathcal{RQSZ} \)
\mathcal - \( \mathfrak{RQSZ} \)
\mathfrak - \( \mathbb{RQSZ} \)
\mathbb - \( \mathscr{RQSZ} \)
\mathscr
Arrows
- \( \to \)
\to - \( \rightarrow \)
\rightarrow - \( \leftarrow \)
\leftarrow - \( \Rightarrow \)
\Rightarrow - \( \Leftarrow \)
\Leftarrow - \( \mapsto \)
\mapsto
Bi-directional
- \( \leftrightarrow \)
\leftrightarrow - \( \Leftrightarrow \)
\Leftrightarrow - \( \longleftrightarrow \)
\longleftrightarrow - \( \Longleftrightarrow \)
\Longleftrightarrow
Diagonal
- \( \nearrow \)
\nearrow - \( \searrow \)
\searrow - \( \nwarrow \)
\nwarrow - \( \swarrow \)
\swarrow
Misc
- \( \backslash \)
\backslash