There are many Mathematica packages that implement symbolic mathematical operations. Here are a few examples drawn from the standard set of packages distributed with ...

Mathematica automatically handles both numeric and symbolic matrices, seamlessly switching among large numbers of highly-optimized algorithms. Using many original methods, ...

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

Huge numerical datasets are routine for Mathematica. Its powerful array primitives make large-scale array manipulation both easy to specify and highly efficient. And its ...

DiscreteWaveletPacketTransform[data] gives the discrete wavelet packet transform (DWPT) of an array of data.DiscreteWaveletPacketTransform[data, wave] gives the discrete ...

ContinuousWaveletData[{{oct_1, voc_1} -> coef_1, ...}, wave] yields a continuous wavelet data object with wavelet coefficients coef_i corresponding to octave and voice ...

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

Mathematica has powerful capabilities for explicit signal processing with large volumes of data, imported and exported in many formats, and for symbolic analysis of signal ...

Wavelets are short wavelike functions that can be scaled and translated. Wavelet transforms take any signal and express it in terms of scaled and translated wavelets. The ...

Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. ...