MakeDirected[g] constructs a directed graph from a given undirected graph g by replacing each undirected edge in g by two directed edges pointing in opposite directions.

NumberOfNecklaces[n, nc, Cyclic] returns the number of distinct ways in which an n-bead necklace can be colored with nc colors, assuming that two colorings are equivalent if ...

OrbitInventory[ci, x, w] returns the value of the cycle index ci when each formal variable x[i] is replaced by w. OrbitInventory[ci, x, weights] returns the inventory of ...

ShortestPath[g, start, end] finds a shortest path between vertices start and end in graph g.

ToCanonicalSetPartition[sp, set] reorders sp into a canonical order with respect to set. ToCanonicalSetPartition[sp] reorders sp into canonical order, assuming that ...

New functions SymmetricPolynomial and SymmetricReduction have been added to the built-in Mathematica kernel.

The functionality of Calculus`DSolveIntegrals` is now available in the built-in Mathematica kernel function DSolve.

New functions Animate and ListAnimate have been added to the built-in Mathematica kernel. SpinShow is replaced by interactive rotation of three-dimensional graphics.

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

All the functionality in Miscellaneous`Music` is now available through the newly created Music Package. Scale is now available as MusicScale.