MATHEMATICS

# Mathematics

## Child Pages

• Curve Fitting
• Geometry
• Linear Algebra
• Linear Programming
• Matrices
• Perlin Noise
• Statistics
• ## Mathematical Syntax

Below is the mathematical typography that is used on this site.

A non-bold standard letter is used to denote a basic scalar:

$$c = 3e8$$

Bold font and an arrow is used to denote a vector:

$$\b{\vec{v}} = \begin{bmatrix}1\\2\\3\end{bmatrix}$$

Bold font and a hat is used to denote a unit vector:

$$\b{\hat{x}} = \begin{bmatrix}1\\0\\0\end{bmatrix}$$

A bold capital letter is used to denote a matrix or tensor:

$$\b{B} = \begin{bmatrix}1&2&3\\4&5&6\\7&8&9\end{bmatrix}$$

A bold lower-case letter is used to denote imaginary component(s) (in things such as complex numbers and quaternions).

$$c = a + b\mathbf{i}$$

$$q = a + b\mathbf{i} + c\mathbf{j} + d\mathbf{k}$$

A bar is used to indicate a conjugate:

$$\bar{x}$$

The “triangle equals” is used to denote “is defined by”:

$$F \triangleq ma$$

The Fourier Transform is denoted with $$\mathcal{F}$$.

Belongs to uses the \in symbol from Latex (e.g. $$x$$ belongs to the set of real numbers):

$$x \in \mathbb{R}$$