PermutationWithCycle (Combinatorica Package Symbol)

PermutationWithCycle[n, {i, j, ...}] gives a size-n permutation in which {i, j, ...} is a cycle and all other elements are fixed points.

HideCycles (Combinatorica Package Symbol)

HideCycles[c] canonically encodes the cycle structure c into a unique permutation.

EmpiricalDistribution (Built-in Mathematica Symbol)

EmpiricalDistribution[{x_1, x_2, ...}] represents an empirical distribution based on the data values x_i.EmpiricalDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] ...

Compile (Built-in Mathematica Symbol)

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...

UnrankPermutation (Combinatorica Package Symbol)

UnrankPermutation[r, l] gives the r\[Null]^th permutation in the lexicographic list of permutations of list l. UnrankPermutation[r, n] gives the r\[Null]^th permutation in ...

DistributionFitTest (Built-in Mathematica Symbol)

DistributionFitTest[data] tests whether data is normally distributed. DistributionFitTest[data, dist] tests whether data is distributed according to dist. ...

StationaryWaveletPacketTransform (Built-in Mathematica Symbol)

StationaryWaveletPacketTransform[data] gives the stationary wavelet packet transform (SWPT) of an array of data.StationaryWaveletPacketTransform[data, wave] gives the ...

Listing of Named Characters (Mathematica Guide)

Mathematica provides systemwide support for a large number of special characters. Each character has a name and a number of shortcut aliases. They are fully supported by the ...

CycleStructure (Combinatorica Package Symbol)

CycleStructure[p, x] returns the monomial in x[1], x[2], ..., x[Length[p]] that is the cycle structure of the permutation p.

SymmetricGroup (Combinatorica Package Symbol)

SymmetricGroup[n] returns the symmetric group on n symbols.