LaTeX Math Reference

= Page Title
:stem: latexmath

The quadratic formula is stem:[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}].

[stem]
++++
\sum_{i=1}^{n} i = \frac{n(n+1)}{2}
++++

\frac{a}{b}          % Fraction
x^{2}                % Superscript
x_{i}                % Subscript
x^{n}_{i}            % Both
\sqrt{x}             % Square root
\sqrt[3]{x}          % Cube root

\alpha \beta \gamma \delta \epsilon
\theta \lambda \mu \pi \sigma \tau
\phi \omega
\Gamma \Delta \Theta \Lambda \Sigma \Omega

\leq  \geq  \neq  \approx  \equiv
\in   \notin  \subset  \supset
\cup  \cap  \times  \div  \pm
\infty  \partial  \nabla

[stem]
++++
\text{Hosts} = 2^{32 - \text{prefix}} - 2
++++

stem:[2^{32-24} - 2 = 254 \text{ usable hosts}]

\sum_{i=0}^{n} a_i              % Sigma sum
\prod_{i=1}^{n} a_i             % Pi product
\lim_{x \to \infty} f(x)        % Limit
\int_{a}^{b} f(x)\,dx           % Integral

\begin{bmatrix}
  a & b \\
  c & d
\end{bmatrix}

\begin{pmatrix}
  1 & 0 \\
  0 & 1
\end{pmatrix}

\forall x \in A               % For all
\exists x \in A               % There exists
A \cup B                       % Union
A \cap B                       % Intersection
A \setminus B                  % Set difference
\emptyset                      % Empty set
\{1, 2, 3\}                   % Explicit set
\mathbb{R}, \mathbb{Z}        % Real, Integer sets

\text{if } x > 0              % Roman text in equations
\textbf{bold}                  % Bold text
\mathbf{x}                    % Bold math variable
\mathrm{const}                 % Roman (upright) variable

a\,b        % Thin space
a\;b        % Medium space
a\quad b    % Quad space
a\qquad b   % Double quad space

f(x) = \begin{cases}
  x^2 & \text{if } x \geq 0 \\
  -x  & \text{if } x < 0
\end{cases}

Binary search runs in stem:[O(\log n)] time.
Merge sort guarantees stem:[O(n \log n)] worst case.
Hash table lookup is stem:[O(1)] amortized.