Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...

The hierarchy of levels at which options can be set. Here is a notebook containing three cells. This is what happens when the setting CellFrame->True is made specifically for ...

Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

 

Mathematica's unified architecture allows every aspect of Mathematica's interface to be controlled and specified programmatically using the symbolic constructs and functions ...

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

Through[p[f_1, f_2][x]] gives p[f_1[x], f_2[x]]. Through[expr, h] performs the transformation wherever h occurs in the head of expr.

Even simple-looking limits are sometimes quite complicated to compute. Mathematica provides functionality to evaluate several kinds of limits.

ImageValue[image, {x, y}] gives the pixel value of image at position {x, y}.ImageValue[image, {x, y}, " type"] gives the pixel value converted to the specified type.

Mathematica notebooks include all the usual features of a top-quality word-processing system, plus many additional special capabilities. In all, there are over a thousand ...