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