ListNecklaces[n, c, Cyclic] returns all distinct necklaces whose beads are colored by colors from c. Here c is a list of n, not necessarily distinct colors, and two colored ...

NecklacePolynomial[n, c, Cyclic] returns a polynomial in the colors in c whose coefficients represent numbers of ways of coloring an n-bead necklace with colors chosen from ...

OrbitRepresentatives[pg, x] returns a representative of each orbit of x induced by the action of the group pg on x.

Orbits[pg, x] returns the orbits of x induced by the action of the group pg on x.

Mathematica's symbolic character allows it to provide deep integrated support for algebraic numbers. At the core are Root objects, which provide exact implicit ...

Mathematica's symbolic timing framework allows timing information not only to be analyzed but also to be used in the structure of algorithms. Mathematica provides functions ...

BitSet[n, k] sets to 1 the bit corresponding to the coefficient of 2^k in the integer n.

GroupOrder[group] returns the number of elements of group.

HoldRest is an attribute which specifies that all but the first argument to a function are to be maintained in an unevaluated form.

PlotPoints is an option for plotting functions that specifies how many initial sample points to use.