p : v is a pattern object that represents an expression of the form p, which, if omitted, should be replaced by v.

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

Mathematica treats equations as logical statements. If you type in an equation like x^2+3x==2, Mathematica interprets this as a logical statement which asserts that x^2+3x is ...

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...

MATHEMATICA HOW TO Tutorials » Sequences of Operations Evaluation See Also » CompoundExpression More About » Language Overview Mathematica Syntax Procedural Programming ...

Mathematica makes it easy to "bulletproof" packages, and prevent features of their environment from affecting their internal operation.

Mathematica allows convenient automated selection of plotting and image regions using a family of specially developed robust algorithms, as well as allowing detailed manual ...

Limit[expr, x -> x_0] finds the limiting value of expr when x approaches x_0.