Names of Symbols and Mathematical ... (Mathematica Tutorial)

Mathematica by default interprets any sequence of letters or letter-like forms as the name of a symbol. All these are treated by Mathematica as symbols. Symbols with built-in ...

Spheroidal Functions (Mathematica Tutorial)

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

Types of Numbers (Mathematica Tutorial)

Four underlying types of numbers are built into Mathematica. Intrinsic types of numbers in Mathematica. Rational numbers always consist of a ratio of two integers, reduced to ...

FourierTransform (Built-in Mathematica Symbol)

FourierTransform[expr, t, \[Omega]] gives the symbolic Fourier transform of expr. FourierTransform[expr, {t_1, t_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives the ...

FresnelC (Built-in Mathematica Symbol)

FresnelC[z] gives the Fresnel integral C(z).

Nested Lists (Mathematica Tutorial)

Ways to construct nested lists. This generates a table corresponding to a 2×3 nested list. This generates an array corresponding to the same nested list.

AlgebraicUnitQ (Built-in Mathematica Symbol)

AlgebraicUnitQ[a] yields True if a is an algebraic unit, and yields False otherwise.

ContinuedFractionK (Built-in Mathematica Symbol)

ContinuedFractionK[f, g, {i, i_min, i_max}] represents the continued fraction \[CapitalKappa]_i = i_min^i_max f/g.ContinuedFractionK[g, {i, i_min, i_max}] represents the ...

Gudermannian (Built-in Mathematica Symbol)

Gudermannian[z] gives the Gudermannian function gd(z).

JacobiDN (Built-in Mathematica Symbol)

JacobiDN[u, m] gives the Jacobi elliptic function dn(u | m).