Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. Alternative spelling of factorization.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. (mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity
Etymologies
Examples

For resolved PHP, the uncertainty on the photon PDFs is tragic, so its not really clear if your testing pQCD or universal factorisation or what.

For the unique prime factorisation theorem, we can then define all factorisations differing only by units as equivalent then say all prime factorisations are unique up to that equivalence.

NNMF is different from SVD (or PCA) factorisation in that it factorises a positive matrix (all elements), say ‘A’ into factor matrices which are also both positives.

The paper describes an online version of the popular NNMF (nonnegative matrix factorisation) which trains itself in realtime, that is suited to your realtime tracking at Digg.

Add brief definition or description public key encryption algorithm whose strength depends on the difficulty of integer factorisation.

The ring of integers is an integral domain, but does not in general have the desirable factorisation properties of the ring Dedekind domain, having unique factorisation of ideals into prime ideals.

The ring of integers is an [[integral domain]], but does not in general have the desirable factorisation properties of the ring '' 'Z' ''.

It is holomorphic everywhere except at prime ideals of the ring of integers, which formally expresses the unique factorisation of ideals into prime ideals.

The grounds of the subject as we know it were set in the late nineteenth century, when ideal numbers, the theory of ideals and valuation theory were developed; these are three complementary ways of dealing with the lack of unique factorisation in algebraic number fields.

Given an efficient solution to the integer factorisation problem, breaking RSA would become trivial.
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