Many calculations involve solving systems of linear equations. In many cases, you will find it convenient to write down the equations explicitly, and then solve them using ...

MatrixPower[m, n] gives the n\[Null]\[Null]^th matrix power of the matrix m. MatrixPower[m, n, v] gives the n\[Null]^th matrix power of the matrix m applied to the vector v.

SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...

Here the standard procedure used by Mathematica to evaluate expressions is described. This procedure is the one followed for most kinds of expression. There are, however, ...

DeBruijnSequence[a, n] returns a De Bruijn sequence on the alphabet a, a shortest sequence in which every string of length n on alphabet a occurs as a contiguous subsequence.

Mathematica's symbolic character allows a powerful unification of the notion of conditionals in programming and in mathematics.

Heavy tail means that there is a larger probability of getting very large values. So heavy tail distributions typically represent wild as opposed to mild randomness. An ...

Mathematica supports dynamic hierarchical namespace management, fully integrated into the Mathematica language. Mathematica's symbolic programming paradigm allows a unique ...

Directly integrated into the Mathematica language is a convenient symbolic options mechanism that allows arbitrary sequences of named parameters to be given to both built-in ...

Permutations are among the most basic elements of discrete mathematics. They can be used to represent discrete groups of transformations and in particular play a key role in ...