Directly integrated into Mathematica's uniform architecture for handling lists of data is an array of highly optimized algorithms for transforming and smoothing datasets that ...

Version 6.0 added a collection of carefully optimized functions to Mathematica's powerful arsenal of numerical handling capabilities.

ProvablePrimeQ[n] gives True if n is provably prime, and False otherwise.

N[expr] gives the numerical value of expr. N[expr, n] attempts to give a result with n-digit precision.

x^y gives x to the power y.

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 ...

$Pre is a global variable whose value, if set, is applied to every input expression.

$PrePrint is a global variable whose value, if set, is applied to every expression before it is printed.

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

LegendreQ[n, z] gives the Legendre function of the second kind Q_n (z). LegendreQ[n, m, z] gives the associated Legendre function of the second kind Q_n^m(z).