$MaxPiecewiseCases gives the maximum number of cases to allow in explicit Piecewise objects generated by expanding any single piecewise function.

$ProcessID gives the ID assigned to the Mathematica kernel process by the operating system under which it is run.

$VersionNumber is a real number which gives the current Mathematica kernel version number, and increases in successive versions.

In addition to the interfaces of Import and Export, Mathematica 8 comes with an autoloading mechanism that simplifies the registration of formats used by the Import and ...

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 ...

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

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

Sometimes you may want to set up functions where certain arguments, if omitted, are given "default values". The pattern x_:v stands for an object that can be omitted, and if ...

The fundamental operation that Mathematica performs is evaluation. Whenever you enter an expression, Mathematica evaluates the expression, then returns the result. Evaluation ...

Every version of Mathematica is subjected to a large amount of testing before it is released. The vast majority of this testing is done by an automated system that is written ...