Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

InversePermutation[p] yields the multiplicative inverse of permutation p.

Josephus[n, m] generates the inverse of the permutation defined by executing every m\[Null]^th member in a circle of n members.

FromCoefficientRules[list, {x_1, x_2, ...}] constructs a polynomial from a list of rules for exponent vectors and coefficients.

BesselJZero[n, k] represents the k\[Null]^th zero of the Bessel function J_n (x).BesselJZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.

RightCosetRepresentative[group, g] returns the smallest element in the right coset of products of the elements of group by g.

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

The functions described here are among the most commonly used continuous univariate statistical distributions. You can compute their densities, means, variances, and other ...