An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

DirichletCharacter[k, j, n] gives the Dirichlet character \[Chi] {k, j} (n) with modulus k and index j.

Even more so than for other special functions, you need to be very careful about the arguments you give to elliptic integrals and elliptic functions. There are several ...

AngerJ[\[Nu], z] gives the Anger function J_v(z).AngerJ[\[Nu], \[Mu], z] gives the associated Anger function J_\[Nu]^\[Mu](z).

Prime[n] gives the n\[Null]^th prime number.

ThreeJSymbol[{j_1, m_1}, {j_2, m_2}, {j_3, m_3}] gives the values of the Wigner 3-j symbol.

BSplineCurve[{pt_1, pt_2, ...}] is a graphics primitive that represents a non-uniform rational B-spline curve with control points pt_i.

InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

All the functionality in DiscreteMath`Combinatorica` is available in the newly created Combinatorica Package.