factorize AmE
factorise BrE

The special number field sieve can factorize numbers with more than one large factor.

It doesn't look as if it'll factorize easily.

Repeated application of the factor theorem may be used to factorize the polynomial.

F-matrices can be used to factorize the corresponding R-matrix.

For each , as is an initial morphism, then factorize with and get .

They successfully managed to factorize 21.

Factorize the expression in the denominator.

Alternatively, one can also factorize them without partial pivoting but with a "diagonal boosting" strategy.

Wolfram Alpha can factorize too.

The difficulty with the standard representation is revealed by this formula, which does not factorize into the product of the marginal one-dimensional distributions.

If we further factorize , we can see that is nonsingular provided the N points are distinct.

We factorize the following 2-by-2 matrix:

Because of the size of Fermat numbers, it is difficult to factorize or to prove primality of those.

We did not assume this; the only assumption we made was that the distributions factorize, and the form of the distributions followed naturally.

These can be found experimentally using lattice reduction, and are useful in setting up the special number field sieve to factorize a Fibonacci number.

Restricted by the fact that the algorithms are second-order methods and need to store and factorize a large (and often dense) matrix.

To factorize the initial polynomial, it suffices to factorize each square-free factors.

Integer coefficients are also tractable: indeed, to factorize over the rationals, the first step consists in reducing the problem to a factorization over the integers.

Beals-Kartashova-factorization (also called BK-factorization) is a constructive procedure to factorize a bivariate operator of the arbitrary order and arbitrary form.

We can extend this kind of approach to make a complete analysis of the vibrations of quite complex molecules by making use of local symmetry to factorize the modes.

As it was possible to completely factorize the polynomial, it's clear that the last root is -2 (the previous procedure would have given the same result, with a final quotient of 1).

If a number has only one very large factor then other algorithms can factorize larger numbers by first finding small factors and then making a primality test on the cofactor.

For numerical stability, one can use LAPACK's routines to LU factorize them with partial pivoting.

We can use the disjoint cycle decomposition of a permutation to factorize it as a product of transpositions by replacing a cycle of length k by transpositions.

It is common practice to derive a fourth order characteristic equation to describe the longitudinal motion, and then factorize it approximately into a high frequency mode and a low frequency mode.