WaveletImagePlot (Built-in Mathematica Symbol)

WaveletImagePlot[dwd] plots the basis tree of wavelet image coefficients in the DiscreteWaveletData dwd.WaveletImagePlot[dwd, r] plots coefficients up to refinement level ...

InverseFourier (Built-in Mathematica Symbol)

InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.

RotationMatrix (Built-in Mathematica Symbol)

RotationMatrix[\[Theta]] gives the 2D rotation matrix that rotates 2D vectors counterclockwise by \[Theta] radians.RotationMatrix[\[Theta], w] gives the 3D rotation matrix ...

KarhunenLoeveDecomposition (Built-in Mathematica Symbol)

KarhunenLoeveDecomposition[{a_1, a_2, ...}] gives the Karhunen\[Dash]Loeve transform {b_1, b_2, ...} of the numerical arrays {a_1, a_2, ...} and the transformation matrix m, ...

Fourier (Built-in Mathematica Symbol)

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

LiftingFilterData (Built-in Mathematica Symbol)

LiftingFilterData[...] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.

DaubechiesWavelet (Built-in Mathematica Symbol)

DaubechiesWavelet[] represents a Daubechies wavelet of order 2. DaubechiesWavelet[n] represents a Daubechies wavelet of order n.

Calculus (Mathematica Guide)

In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...

LocallyExact Method for NDSolve (Mathematica Tutorial)

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

Defining Your Own Wavelet (Mathematica Tutorial)

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...