NIntegrate Integration Rules (Mathematica Tutorial)

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 ...

Operators (Mathematica Tutorial)

Some operators used in basic arithmetic and algebra. Note that the  for ∖[Cross] is distinguished by being drawn slightly smaller than the × for ∖[Times]. Interpretation of ...

Testing Expressions (Mathematica Guide)

Mathematica symbolic expressions can represent an immense range of types of objects. Mathematica provides a rich collection of functions to test expressions. Functions that ...

Fourier (Built-in Mathematica Symbol)

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

Abort (Built-in Mathematica Symbol)

Abort[] generates an interrupt to abort a computation.

MachineNumberQ (Built-in Mathematica Symbol)

MachineNumberQ[expr] returns True if expr is a machine-precision real or complex number, and returns False otherwise.

PauliMatrix (Built-in Mathematica Symbol)

PauliMatrix[k] gives the k\[Null]^th Pauli spin matrix \[Sigma]_k.

SpheroidalS2 (Built-in Mathematica Symbol)

SpheroidalS2[n, m, \[Gamma], z] gives the radial spheroidal function S_n^m, (2)(\[Gamma], z) of the second kind.

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

SpheroidalPS (Built-in Mathematica Symbol)

SpheroidalPS[n, m, \[Gamma], z] gives the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.