NumberOfPermutationsByInversions[n, k] gives the number of permutations of length n with exactly k inversions. NumberOfPermutationsByInversions[n] gives a table of the number ...
RandomRGF[n] returns a random restricted growth function (RGF) defined on the first n natural numbers. RandomRGF[n, k] returns a random RGF defined on the first n natural ...
PrimeQCertificate[n] gives a certificate that n is prime or that n is composite.
Skeleton[n] represents a sequence of n omitted elements in an expression printed with Short or Shallow. The standard print form for Skeleton is <<n>>.
Ordering in lists. Here is a list of numbers. This gives the elements of t in sorted order.
All the functionality in Miscellaneous`Geodesy` is now available in the built-in Mathematica kernel.
AnimationCycleOffset is an option for cells that specifies the relative position of the next graphic to be used in an animation sequence.
Cross
(Built-in Mathematica Symbol) Cross[a, b] gives the vector cross product of a and b.
KroneckerDelta[n_1, n_2, ...] gives the Kronecker delta \[Delta] Subscript[n, 1] Subscript[n, 2] ..., equal to 1 if all the n_i are equal, and 0 otherwise.
LayerSizeFunction is an option for TreePlot that gives a function to specify the relative height to allow for each layer.