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 ...

In addition to its graphical results, Wolfram|Alpha can provide alternative representations that contain additional information or are well suited to particular tasks. These ...

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.

GaussianQuadratureWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Gaussian formula for quadrature on the interval a to b, where w_i is the ...