Mathematica's symbolic string patterns provide a compact yet readable basis for sophisticated string operations. Included directly in programs, or symbolically generated on ...

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...

Lists are central constructs in Mathematica, used to represent collections, arrays, sets, and sequences of all kinds. Lists can have any structure and size, and can routinely ...

There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

NegativeBinomialDistribution[n, p] represents a negative binomial distribution with parameters n and p.

Mathematica serves as a convenient and extensible environment for doing basic math. In addition to performing advanced calculations, Mathematica can also be used as a ...

Depth[expr] gives the maximum number of indices needed to specify any part of expr, plus 1.

Modulus -> n is an option that can be given in certain algebraic functions to specify that integers should be treated modulo n.

Projection[u, v] finds the projection of the vector u onto the vector v.Projection[u, v, f] finds projections with respect to the inner product function f.