Notation#
The FastDDM documentation uses the following mathematical notation.
General notation:
\(x\) |
Scalar. |
\(\vec{a}\) |
Vector. |
\(a\) |
Magnitude of the vector \(\vec{a}\). |
\(\hat{a}\) |
Unit vector in the direction of \(\vec{a}\). |
\(\mathbf{A}\) |
Matrix. |
\(i\), \(j\), \(k\) |
Indices. |
\(i\) |
\(\sqrt{-1}\) in some contexts. |
\(\mathrm{function}\) |
A mathematical function. |
a \([\mathrm{length}]^2\) |
The quantity “a” has dimensions of \(\mathrm{length}^2\). |
\(\mathcal{F}\) |
The 1D Fourier transform. |
\(\mathcal{F}^{-1}\) |
The 1D inverse Fourier transform. |
\(\mathcal{F}_{\mathrm{2D}}\) |
The 2D Fourier transform. |