Integrated into the Mathematica system are powerful functions for analyzing large volumes of discrete and integer data—often conveniently specified using Mathematica's ...

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

In order to write the most general Mathematica programs you will sometimes need to find out global information about the setup under which your program is being run. Thus, ...

Factor[poly] factors a polynomial over the integers. Factor[poly, Modulus -> p] factors a polynomial modulo a prime p. Factor[poly, Extension -> {a_1, a_2, ...}] factors a ...

Mathematica usually keeps the elements of a list in exactly the order you originally entered them. If you want to treat a Mathematica list like a mathematical set, however, ...

Mathematica has been used to make many important discoveries in discrete mathematics over the past two decades. Its integration of highly efficient and often original ...

Mathematica is built to handle arbitrarily large computations—limited only by computer time and memory—and provides a collection of convenient global safety features to ...

Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.

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 efficiently implements state-of-the-art data classification algorithms, allowing you to visualize distributions, search for nearest neighbors, and do cluster ...