Mathematica normally takes any expression it is given, and evaluates it as far as possible. But built into the Mathematica language is a collection of flexible primitives ...

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...

Mathematica incorporates the latest highly efficient algorithms to allow operations on strings with millions of elements, all making use of Mathematica's unique symbolic ...

The symbolic language paradigm of Mathematica takes the concept of variables and functions to a new level. In Mathematica a variable can not only stand for a value, but can ...

Mathematica's highly optimized architecture makes it easy to create programs that are both elegant and efficient. Its symbolic character lets you immediately run and test ...

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...

Expressions in Mathematica can be represented as strings in a variety of ways, for display, export, or processing. Mathematica provides powerful functions for formatting ...

Mathematica's symbolic timing framework allows timing information not only to be analyzed but also to be used in the structure of algorithms. Mathematica provides functions ...