Constructing Matrices (Mathematica Tutorial)

Functions for constructing matrices. This generates a 2×2 matrix whose i,j^th entry is a[i,j]. Here is another way to produce the same matrix.

Sum (Built-in Mathematica Symbol)

Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...

EllipticPi (Built-in Mathematica Symbol)

EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...

BetaBinomialDistribution (Built-in Mathematica Symbol)

BetaBinomialDistribution[\[Alpha], \[Beta], n] represents a beta binomial mixture distribution with beta distribution parameters \[Alpha] and \[Beta], and n binomial trials.

GegenbauerC (Built-in Mathematica Symbol)

GegenbauerC[n, m, x] gives the Gegenbauer polynomial C_n^(m)(x). GegenbauerC[n, x] gives the renormalized form lim_(m->0) C_n^(m)(x)/m.

FactorialMoment (Built-in Mathematica Symbol)

FactorialMoment[list, r] gives the r\[Null]^th moment of the elements in the list.FactorialMoment[dist, r] gives the r\[Null]^th moment of the symbolic distribution ...

PrimitiveRoot (Built-in Mathematica Symbol)

PrimitiveRoot[n] gives the smallest primitive root of n.

ByteCount (Built-in Mathematica Symbol)

ByteCount[expr] gives the number of bytes used internally by Mathematica to store expr.

SpheroidalPS (Built-in Mathematica Symbol)

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

DirichletCharacter (Built-in Mathematica Symbol)

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