$MaxPrecision (Built-in Mathematica Symbol)

$MaxPrecision gives the maximum number of digits of precision to be allowed in arbitrary-precision numbers.

$MessageList (Built-in Mathematica Symbol)

$MessageList is a global variable that gives a list of the names of messages generated during the evaluation of the current input line.

$MinMachineNumber (Built-in Mathematica Symbol)

$MinMachineNumber is the smallest positive machine-precision number that can be used on a particular computer system.

$ProcessorCount (Built-in Mathematica Symbol)

$ProcessorCount gives the number of processor cores available on the computer system on which Mathematica is being run.

$RootDirectory (Built-in Mathematica Symbol)

$RootDirectory gives the root directory of your file system.

$TimedOut (Built-in Mathematica Symbol)

$TimedOut is a special symbol returned by certain functions when an operation times out.

Advanced Topics in Algebra (Mathematica Overview)

Complex Polynomial Systems Real Polynomial Systems Diophantine Polynomial Systems

Convolutions and Correlations (Mathematica Tutorial)

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...

Derivatives of Unknown Functions (Mathematica Tutorial)

Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

Exact Higher-Order Equations (Mathematica Tutorial)

A linear ordinary differential equation of order n is said to be exact if The condition of exactness can be used to reduce the problem to that of solving an equation of order ...