Many large-scale applications of linear algebra involve matrices that have many elements, but comparatively few that are nonzero. You can represent such sparse matrices ...

Four underlying types of numbers are built into Mathematica. Intrinsic types of numbers in Mathematica. Rational numbers always consist of a ratio of two integers, reduced to ...

Output formats for numbers. These numbers are given in the default output format. Large numbers are given in scientific notation. This gives all numbers in scientific ...

Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

PrintingStartingPageNumber is an option for notebooks that specifies what number to assign to the first page of a notebook when printed.

Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...