An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

expr //. rules repeatedly performs replacements until expr no longer changes.

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 ...

You may have noticed that there are two different ways to make assignments in Mathematica: lhs=rhs and lhs:=rhs. The basic difference between these forms is when the ...

ConversionRules is an option for Cell that can be set to a list of rules specifying how the contents of the cell are to be converted to external formats.

TaggingRules is an option for selections that specifies a list of strings to be associated with a selection.

When Mathematica transforms an expression such as x+x into 2x, it is treating the variable x in a purely symbolic or formal fashion. In such cases, x is a symbol which can ...

Cellular automata provide a convenient way to represent many kinds of systems in which the values of cells in an array are updated in discrete steps according to a local ...

Det[m] gives the determinant of the square matrix m.

Applying Transformation Rules Manipulating Sets of Transformation Rules Making Definitions