Mathematica contains some powerful primitives for making structural changes to expressions. You can use these primitives both to implement mathematical properties such as ...

NIntegrate[f, {x, x_min, x_max}] gives a numerical approximation to the integral \[Integral]_x_min^x_max\ f\ d \ x. NIntegrate[f, {x, x_min, x_max}, {y, y_min, y_max}, ...] ...

DGaussianWavelet[] represents a derivative of Gaussian wavelet of derivative order 2.DGaussianWavelet[n] represents a derivative of Gaussian wavelet of derivative order n.

MexicanHatWavelet[] represents the Mexican hat wavelet of width 1.MexicanHatWavelet[\[Sigma]] represents the Mexican hat wavelet of width \[Sigma].

Mathematica uses its symbolic architecture to provide a convenient modular framework for generating and managing messages, both in programs and interactive sessions.

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

CosIntegral[z] gives the cosine integral function Ci(z).

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

Mathematica provides a convenient collection of platform-independent functions for manipulating names of files and directories. These functions can also be used to assemble ...

PolynomialGCD[poly_1, poly_2, ...] gives the greatest common divisor of the polynomials poly_i. PolynomialGCD[poly_1, poly_2, ..., Modulus -> p] evaluates the GCD modulo the ...