RowReduce[m] gives the row-reduced form of the matrix m.

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

SortBy[list, f] sorts the elements of list in the order defined by applying f to each of them.

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

When you set up a graphics object in Mathematica, you typically give a list of graphical elements. You can include in that list graphics directives which specify how ...

The leading term of a polynomial can be chosen in many different ways. For multivariate polynomials, sorting by the total degree of the monomials is often useful. Different ...

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

An important feature of string manipulation functions like StringReplace is that they handle not only literal strings but also patterns for collections of strings. This ...

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...