Mathematica provides direct access to a large volume of mathematical data, specially organized and created for Mathematica. The data is available in a wide range of forms ...

Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied ...

Widely recognized as the world's most powerful list manipulation language, Mathematica added in Version 6.0 a number of important new functions. Each function was carefully ...

Divisible[n, m] yields True if n is divisible by m, and yields False if it is not.

Permutations are basic elements in algebra. They have a natural non-commutative product (as matrices do as well), and hence can encode highly nontrivial structures in a ...

FindIntegerNullVector[{x_1, x_2, ..., x_n}] finds a list of integers a_i such that a_1 x_1 + a_2 x_2 + \[CenterEllipsis] + a_n x_n == 0. FindIntegerNullVector[{x_1, x_2, ..., ...

# represents the first argument supplied to a pure function. # n represents the n\[Null]\[Null]^th argument.

CoprimeQ[n_1, n_2] yields True if n_1 and n_2 are relatively prime, and yields False otherwise. CoprimeQ[n_1, n_2, ...] yields True if all pairs of the n_i are relatively ...

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

Flat is an attribute that can be assigned to a symbol f to indicate that all expressions involving nested functions f should be flattened out. This property is accounted for ...