Det[m] gives the determinant of the square matrix m.

JordanModelDecomposition[ss] yields the Jordan decomposition of a StateSpaceModel object ss. The result is a list {s, jc} where s is a similarity matrix and jc is the Jordan ...

LeastSquares[m, b] finds an x that solves the linear least-squares problem for the matrix equation m.x == b.

MapIndexed[f, expr] applies f to the elements of expr, giving the part specification of each element as a second argument to f. MapIndexed[f, expr, levelspec] applies f to ...

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.

PolarGridLines is an option for sector charts and polar plots that specifies polar grid lines.

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...

Integration functions. Here is the integral ∫_a^bx^2 dx. This gives the multiple integral ∫_0^adx ∫_0^bd y(x^2+y^2).