Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...

SchurDecomposition[m] yields the Schur decomposition for a numerical matrix m, given as a list {q, t} where q is an orthonormal matrix and t is a block upper-triangular ...

Integrated into the core Mathematica language is industrial-strength string manipulation, not only with ordinary regular expressions, but also with Mathematica's own powerful ...

Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive ...

DistanceTransform[image] gives the distance transform of image, in which the value of each pixel is replaced by its distance to the nearest background ...

An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...

StudentNewmanKeuls is a possible value for the PostTests option for ANOVA.

Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...

Solving equations involving power series. Here is a power series. This gives an equation involving the power series.