MATHEMATICS

Mathematics

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  • Curve Fitting
  • Geometry
  • Linear Algebra
  • Linear Programming
  • Matrices
  • Perlin Noise
  • Statistics
  • Wiener Deconvolution
  • 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):

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


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