lhs ^:= rhs assigns rhs to be the delayed value of lhs, and associates the assignment with symbols that occur at level one in lhs.

With[{x = x_0, y = y_0, ...}, expr] specifies that in expr occurrences of the symbols x, y, ... should be replaced by x_0, y_0, ....

$OutputSizeLimit specifies the maximum size in bytes of expressions that will automatically be output in their entirety in a Mathematica notebook.

Mathematica stores preference settings and initialization data in two directories, $BaseDirectory and $UserBaseDirectory. Within each of these directories are several ...

Converting between numbers and lists or strings of digits. Here is the list of base 16 digits for an integer. This gives a list of digits, together with the number of digits ...

The built-in functions in Mathematica operate in a wide variety of ways. But many of the mathematical functions share an important approach: they are set up so as to reduce ...

When you install a MathLink-compatible external program using Install, the program is set up to behave somewhat like a simplified Mathematica kernel. Every time you call a ...

The functions defined in the NumericalCalculus` context provide support for finding numerical solutions to calculus-related problems. This loads the package: The built-in ...

Mathematica provides a number of tools for configuring and monitoring parallel computations. Some of these are accessed using menus from the Mathematica notebook front end. ...

As of Version 7, the Vector Field Plotting Package has been integrated into the Mathematica kernel.