FourierSeries, FourierTrigSeries, and FourierCoefficient are part of the Mathematica kernel. FourierSinCoefficient and FourierCosCoefficient are now in the built-in ...

MathLink allows you to exchange data of any type with external programs. For more common types of data, you simply need to give appropriate :ArgumentTypes: or :ReturnType: ...

ParallelMap[f, expr] applies f in parallel to each element on the first level in expr.ParallelMap[f, expr, levelspec] applies f in parallel to parts of expr specified by ...

Linear programming problems are optimization problems where the objective function and constraints are all linear. Mathematica has a collection of algorithms for solving ...

MatrixExp[m] gives the matrix exponential of m. MatrixExp[m, v] gives the matrix exponential of m applied to the vector v.

JordanDecomposition[m] yields the Jordan decomposition of a square matrix m. The result is a list {s, j} where s is a similarity matrix and j is the Jordan canonical form of ...

ShapiroWilkTest[data] tests whether data is normally distributed using the Shapiro\[Dash]Wilk test.ShapiroWilkTest[data, " property"] returns the value of " property".

In some cases, such as in a cluster environment, the machine may be run in headless mode, that is, not starting the GUI server (such as X). The operating system may ...

LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...