factorisations's Usage Examples:

Like Gauss sums, Jacobi sums have known prime ideal factorisations in their cyclotomic fields; see Stickelberger's theorem.

template library for linear algebra; includes various decompositions and factorisations; syntax (API) is similar to MATLAB.

List of first 54 Smarandache–Wellin numbers with factorisations Smarandache–Wellin primes at The Prime Glossary Smith, S.

"Transitive factorisations into transpositions and holomorphic mappings on the sphere" (PDF).

However, the next nine numbers of the sequence are composite; their factorisations are: 333333331 = 17 × 19607843 3333333331 = 673 × 4952947 33333333331.

Multiplication table from 1 to 10 drawn to scale with the upper-right half labeled with prime factorisations.

template library for linear algebra; includes various decompositions, factorisations, and statistics functions; its syntax (API) is similar to MATLAB.

group representations started with the motivation of finding analogous factorisations of the group determinants for any finite G; that is, the determinants.

"Transitive factorisations into transpositions and holomorphic mappings on the sphere".

5−, 7+, 10+, 11+ and 12+ are formulae detailing the Aurifeuillian factorisations.

Horsley, Daniel; Maenhaut, Barbara; Scharaschkin, Victor (2016), "On factorisations of complete graphs into circulant graphs and the Oberwolfach problem".

principal is also related to the fact that the element 6 has two distinct factorisations into irreducibles: 6 = 2 × 3 = (1 + √−5) × (1 − √−5).

elements of P, the αi are positive integers, r may depend on a, and two factorisations are considered the same if they differ only by the order of the factors.

There are few restrictions from algebraic factorisations on the Pierpont primes, so there are no requirements like the Mersenne.

6+, 7+, 10+, 11+ and 12+ are formulae detailing the Aurifeuillian factorisations.

One application is to give factorisations of Dedekind zeta-functions, for example in the case of a number field.

Synonyms:

factorization; resolution; resolving; factoring;

Antonyms:

preparation; indecisiveness; indecision; irresoluteness;