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.

ZernikeR[n, m, r] gives the radial Zernike polynomial R_n^m(r).

LegendreP[n, x] gives the Legendre polynomial P_n (x). LegendreP[n, m, x] gives the associated Legendre polynomial P_n^m(x).

FactorList[poly] gives a list of the factors of a polynomial, together with their exponents.

SquareFreeQ[expr] gives True if expr is a square-free polynomial or number, and False otherwise.SquareFreeQ[expr, vars] gives True if expr is square free with respect to the ...

For most differential equations, the results given by NDSolve are quite accurate. However, because its results are based on numerical sampling and error estimates, there can ...

In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...

Arithmetic Numerical Mathematics in Mathematica The Uncertainties of Numerical Mathematics

BernoulliB[n] gives the Bernoulli number B_n. BernoulliB[n, x] gives the Bernoulli polynomial B_n (x).