$Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate.

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...

Combinatorial functions. The factorial function n! gives the number of ways of ordering n objects. For non-integer n, the numerical value of n! is obtained from the gamma ...

The names of built-in functions follow some general guidelines. The main expression or object on which a built-in function acts is usually given as the first argument to the ...

The uniquely powerful symbolic language that is the foundation for Mathematica.

It is often useful to carry out a numerical integration using fixed step sizes. For example, certain methods such as "DoubleStep" and "Extrapolation" carry out a sequence of ...

The functionality of NumericalMath`ListIntegrate` is now accessible by using the built-in Mathematica kernel functions Integrate and Interpolation.

"AddFrame" is a front end token that adds a frame around the current selection.

"DeleteNext" is a front end token that deletes the character to the right of the insertion point.