WaveletMapIndexed[f, wd] applies the function f to the arrays of coefficients and indices of a ContinuousWaveletData or DiscreteWaveletData object.WaveletMapIndexed[f, dwd, ...

If[condition, t, f] gives t if condition evaluates to True, and f if it evaluates to False. If[condition, t, f, u] gives u if condition evaluates to neither True nor False.

SpheroidalS2Prime[n, m, \[Gamma], z] gives the derivative with respect to z of the radial spheroidal function S_n^m, (2)(\[Gamma], z) of the second kind.

Mathematica provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of ...

f' represents the derivative of a function f of one argument. Derivative[n_1, n_2, ...][f] is the general form, representing a function obtained from f by differentiating n_1 ...

FromCharacterCode[n] gives a string consisting of the character with integer code n. FromCharacterCode[{n_1, n_2, ...}] gives a string consisting of the sequence of ...

CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...

MathieuCharacteristicA[r, q] gives the characteristic value a_r for even Mathieu functions with characteristic exponent r and parameter q.

Mathematica's symbolic control objects include options that make it easy to optimize both appearance and functionality in arbitrarily sophisticated interfaces.

BesselK[n, z] gives the modified Bessel function of the second kind K_n (z).