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  • Curve Fitting
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  • Linear Algebra
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  • Matrices
  • Perlin Noise
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  • Mathematical Syntax

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

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

    $$ c = 3e8 $$

    An arrow is used to denote a vector:

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

    A hat is used to denote a unit vector:

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

    A bold capital letter is used to denote a matrix:

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

    A bold lower-case letter is used to denote the imaginary component (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 \(\mathcal{F}\).

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