Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

FactorialPower[x, n] gives the factorial power x (n). FactorialPower[x, n, h] gives the step-h factorial power x (n, h).

FourierSeries[expr, t, n] gives the n\[Null]^th-order Fourier series expansion of expr in t. FourierSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the multidimensional ...

FourierSinSeries[expr, t, n] gives the n\[Null]^th-order Fourier sine series expansion of expr in t.FourierSinSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

WaveletPhi[wave, x] gives the scaling function \[Phi](x) for the symbolic wavelet wave evaluated at x.WaveletPhi[wave] gives the scaling function as a pure function.

In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...

As of Version 7, the Bar Charts Package has been integrated into the Mathematica kernel.

The functionality of Calculus`DSolveIntegrals` is now available in the built-in Mathematica kernel function DSolve.