Mathematica allows you not only to export graphics and sounds, but also to import them. With Import you can read graphics and sounds in a wide variety of formats, and bring ...

This does an integral over the interior of the unit circle. Here is an equivalent form. Even though an integral may be straightforward over a simple rectangular region, it ...

You can use most of the list operations discussed in "Lists" on any kind of Mathematica expression. By using these operations, you can manipulate the structure of expressions ...

Getting parts of lists. This gives a list of parts 1 and 3. Here is a nested list.

Explicit representations of newlines and tabs in strings. This prints on two lines. In InputForm there is an explicit ∖n to represent the newline.

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

Exact symbolic results are usually very desirable when they can be found. In many calculations, however, it is not possible to get symbolic results. In such cases, you must ...

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

Partitioning elements in a list. This partitions in blocks of 3. This partitions in blocks of 3 with offset 1.

Functions for rearranging lists. This sorts the elements of a list into a standard order. In simple cases like this, the order is alphabetical or numerical. This sorts the ...