Compositions[n, k] gives a list of all compositions of integer n into k parts.

FindCycle[g] finds a list of vertices that define a cycle in graph g.

GraphicQ[s] yields True if the list of integers s is a graphic sequence, and thus represents a degree sequence of some graph.

Neighborhood[g, v, k] returns the subset of vertices in g that are at a distance of k or less from vertex v. Neighborhood[al, v, k] behaves identically, except that it takes ...

RotateVertices[v, \[Theta]] rotates each vertex position in list v by \[Theta] radians about the origin (0, 0). RotateVertices[g, \[Theta]] rotates the embedding of the graph ...

SamenessRelation[l] constructs a binary relation from a list l of permutations, which is an equivalence relation if l is a permutation group.

ToCycles[p] gives the cycle structure of permutation p as a list of cyclic permutations.

Grad[f] gives the gradient, \[Del]f, of the scalar function f in the default coordinate system. Grad[f, coordsys] gives the gradient of f in the coordinate system coordsys.

New function PolynomialExtendedGCD has been added to the built-in Mathematica kernel.

ImageHistogram[image] plots a histogram of the pixel levels for each channel in image.ImageHistogram[image, n] uses n levels for each channel.ImageHistogram[image, n, {min, ...