Basics
Superscripts and Subscripts
Power: x^2 produces $$ x^2 $$
Subscript: x_1 produces $$ x_1 $$
Fractions
Basic Fraction: \frac{a}{b}
Roots
Square Root: \sqrt{x} produces $$ \sqrt{x} $$
nth Root: \sqrt[n]{x} produces $$ \sqrt[n]{x} $$
Sums and Integrals
Summation: \sum_{i=1}^n produces $$ \sum_{i=1}^n $$
Integral: \int_{a}^{b} produces $$ \int_{a}^{b} $$
Functions
Standard Functions: \sin, \cos, \tan, \ln, \exp
Limits: \lim_{x \to \infty} produces $$ \lim_{x \to \infty} $$ Brackets and Parentheses
Standard: ( … ), [ … ], { … }
Adjustable Size: \left( … \right), \left[ … \right], \left{ … \right}
$$ \left( … \right), \left[ … \right], \left{ … \right} $$
Matrices
Basic Matrix:
\begin{matrix} a & b \ c & d \end{matrix}
$$ \begin{matrix} a & b \ c & d \end{matrix} $$
Bracketed Matrix:
\begin{bmatrix} a & b \ c & d \end{bmatrix}
$$\begin{bmatrix} a & b \ c & d \end{bmatrix}$$
Parenthesis Matrix:
\begin{pmatrix} a & b \ c & d \end{pmatrix}
$$ \begin{pmatrix} a & b \ c & d \end{pmatrix} $$
Symbols
Equality: =
Approximation:
\approx for $$\approx $$ \sim for $$ \sim $$ Inequalities: \leq, \geq, <, >
Arrow Symbols: \rightarrow, \leftarrow, \Rightarrow, \Leftarrow
Infinity: \infty $$ \infty $$
Partial Derivative: \partial
$$ \partial $$
Sets and Logic
Belongs To: \in for $$ \in $$ Subset: \subset, \subseteq
Union/Intersection: \cup, \cap
Empty Set: \emptyset
Logic Symbols: \land for , \lor for , \neg for
Special Notations
Vectors: \vec{v} for , \mathbf{v} for bold
Overline: \overline{x} produces
Hat: \hat{x} produces
Accents
Dot/Double Dot: \dot{x}, \ddot{x}
Bar: \bar{x} produces
Examples
- Quadratic Formula:
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
- Limit Definition of Derivative:
$$ f’(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} $$
$\mathbf{a} \times \mathbf{b}$