DominationLattice[n] returns a Hasse diagram of the partially ordered set on integer partitions of n in which p < q if q dominates p. The function takes two options: Type and ...

KSetPartitions[set, k] returns the list of set partitions of set with k blocks. KSetPartitions[n, k] returns the list of set partitions of {1, 2, ..., n} with k blocks. If ...

PartitionLattice[n] returns a Hasse diagram of the partially ordered set on set partitions of 1 through n in which p < q if q is finer than p, that is, each block in q is ...

SpringEmbedding[g] beautifies the embedding of graph g by modeling the embedding as a system of springs. SpringEmbedding[g, step, increment] can be used to refine the ...

ToOrderedPairs[g] constructs a list of ordered pairs representing the edges of the graph g.

VertexColoring[g] uses Brelaz's heuristic to find a good, but not necessarily minimal, vertex coloring of graph g.

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

The symbolic functions in Calculus`FourierTransform` have been added to the built-in Mathematica kernel. The numerical functionality in Calculus`FourierTransform` is now ...

As of Version 7, the Geodesy Package has been integrated into the Mathematica kernel.

All the functionality in Miscellaneous`BlackBodyRadiation` is now available through the newly created Black Body Radiation Package.