In addition to a rich set of standard file operations, Mathematica's unified symbolic architecture makes it easy to apply algorithmic approaches and efficient higher-level ...

Mathematica immediately allows you to call both standalone programs and individual functions or methods within running programs. Mathematica's architecture allows external ...

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

 

ImageApply[f, image] applies the function f to the list of channel values for each pixel in image.

AppendTo[s, elem] appends elem to the value of s, and resets s to the result.

There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...

JacobiP[n, a, b, x] gives the Jacobi polynomial P_n^(a, b)(x).

The notion of expressions is a crucial unifying principle in Mathematica. It is the fact that every object in Mathematica has the same underlying structure that makes it ...

The following graph represents an impulse response of an ideal Low Pass Filter (LPF). This graph illustrates some of the ways of interacting with graphics. Details on each ...