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 ...

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 ...

ShuffleExchangeGraph[n] returns the n-dimensional shuffle-exchange graph whose vertices are length n binary strings with an edge from w to Derivative[1][w] if (i) ...

ReplaceAllUnheld[expr, rules] applies a rule or list of rules in an attempt to transform each subpart of expr that would be automatically evaluated.

Even simple-looking limits are sometimes quite complicated to compute. Mathematica provides functionality to evaluate several kinds of limits.

Mathematica usually works silently, giving output only when it has finished doing the calculations you asked for. However, Mathematica will produce an audible beep when the ...

The Virtual Book is a browsable electronic collection of all the Mathematica tutorials, grouped according to functionality. It is an excellent place for users of all levels ...

init.m is a Mathematica initialization file.

AlgebraicUnitQ[a] yields True if a is an algebraic unit, and yields False otherwise.