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The main diagonal of a square matrix can be extracted in the Wolfram Language using Tr[m, List].

A function used to study ordinary differential equations.

A function f which may (but does not necessarily) associate a given member of the range of f with more than one member of the domain of f. For example, trigonometric ...

The sequence generated by repeated application of a map. The map is said to have a closed orbit if it has a finite number of elements.

An algorithm which constructs allowed mathematical statements from simple ingredients.

A pair of matrices ND^(-1) or D^(-1)N, where N is the matrix numerator and D is the denominator.

Numerical maximization is implemented as NMaximize[f, vars]5.0.

Numerical minimization is implemented NMinimize[f, vars].

The covering of a plane curve with disks of radius epsilon whose centers lie on the curve.

The symmetry operation (x,y,z)->(x,y,-z), etc., which is equivalent to 2^_, where the bar denotes an improper rotation.