BSplineBasis (Built-in Mathematica Symbol)

BSplineBasis[d, x] gives the zeroth uniform B-spline basis function of degree d at x.BSplineBasis[d, n, x] gives the n\[Null]^th uniform B-spline basis function of degree ...

EulerEquations (Variational Methods Package Symbol)

EulerEquations[f, u[x ], x] returns the Euler\[Dash]Lagrange differential equation obeyed by u[x] derived from the functional f, where f depends on the function u[x] and its ...

Delay Differential Equations (Mathematica Tutorial)

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

NewtonCotesError (Numerical Differential Equation Analysis Package Symbol)

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.

Wavelet Analysis (Mathematica Guide)

Wavelets are short wavelike functions that can be scaled and translated. Wavelet transforms take any signal and express it in terms of scaled and translated wavelets. The ...

BesselJZero (Built-in Mathematica Symbol)

BesselJZero[n, k] represents the k\[Null]^th zero of the Bessel function J_n (x).BesselJZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.

ChebyshevT (Built-in Mathematica Symbol)

ChebyshevT[n, x] gives the Chebyshev polynomial of the first kind T_n (x).

EllipticNomeQ (Built-in Mathematica Symbol)

EllipticNomeQ[m] gives the nome q corresponding to the parameter m in an elliptic function.

HypergeometricPFQRegularized (Built-in Mathematica Symbol)

HypergeometricPFQRegularized[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the regularized generalized hypergeometric function \[Null]_p F_q (a; b; z)/(\[CapitalGamma](b_1) ... ...

InverseHaversine (Built-in Mathematica Symbol)

InverseHaversine[z] gives the inverse haversine function hav -1 (z).