As of Version 7, the Vector Field Plotting Package has been integrated into the Mathematica kernel.
GraphDistance[g, i, j] gives the distance from vertex i to vertex j in the graph g.
HamiltonianCycles[g, n] gives a list of n Hamiltonian cycles.HamiltonianCycles[g] gives a list of one Hamiltonian cycle.
CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...
EulerPhi[n] gives the Euler totient function \[Phi](n).
Limit
(Built-in Mathematica Symbol) Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.
NestList[f, expr, n] gives a list of the results of applying f to expr 0 through n times.
NevilleThetaD[z, m] gives the Neville theta function \[CurlyTheta]_d (z \[VerticalSeparator] m).
ParetoDistribution[k, \[Alpha]] represents a Pareto distribution with minimum value parameter k and shape parameter \[Alpha].ParetoDistribution[k, \[Alpha], \[Mu]] represents ...
PERTDistribution[{min, max}, c] represents a PERT distribution with range min to max and maximum at c.PERTDistribution[{min, max}, c, \[Lambda]] represents a modified PERT ...