Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...

MathLink allows you to exchange data of any type with external programs. For more common types of data, you simply need to give appropriate :ArgumentTypes: or :ReturnType: ...

If you make a definition like f[x_]:=x Sin[x], Mathematica will store the expression x Sin[x] in a form that can be evaluated for any x. Then when you give a particular value ...

Registered MIME type: application/xhtml+xml XHTML with embedded MathML. Plain text XML format. Describes the structure and aspects of the appearance of web pages, including ...

ComplexInfinity represents a quantity with infinite magnitude, but undetermined complex phase.

Differences[list] gives the successive differences of elements in list. Differences[list, n] gives the n\[Null]^th differences of list. Differences[list, {n_1, n_2, ...}] ...

NumericQ[expr] gives True if expr is a numeric quantity, and False otherwise.