Examples of using Factorization in English and their translations into Japanese
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Factorization.
One classic approach is matrix factorization.
Expansion& factorization of a polynomial/ Quadratic equations.
Also in 1994, Peter Shor devised his quantum factorization algorithm.
The integer factorization problem is in NP and in co-NP(and even in UP and co-UP[12]).
Changes in Fedora for Specific Audiences xGEQRT: QR factorization improved interface.
Role of factorization algebras in studying such cohomology based on joint work with B. Hennion.
See section preprocessor.'fctrtest' Test program of factorization of integral polynomials.
Usually, the most efficient way to find the Newton step is to solveEquation 3 for Δy using Cholesky factorization.
A fast parallel SGD for matrix factorization in shared memory systems.
The ESIGN algorithm specified in[IEEE-P1363a]is a signature scheme based on the integer factorization problem.
A fast parallel SGD for matrix factorization in shared memory systems.
Nonnegative Matrix FactorizationNonnegative matrix factorization(NMF) is a dimension-reduction technique based on a low-rank approximation of the feature space.
Then she calculates Phi of n easily, since she knows the factorization of n, which turns out to 3016.
And this problem, called"integer factorization," is exactly what each of your smartphones and laptops is using right now to keep your data secure.
The data are going to be processed by the USEnvironmental Protection Agency positive matrix factorization model PMF 5.0 software.
We're looking for problems that, just like factorization, can be used on our smartphones and on our laptops today.
You can vary several parameters to improve performance, such as problem size, block size, grid layout,lookahead steps, factorization methods, and so on.
For this reason, one adopts the definition of unique factorization used in unique factorization domains(UFDs).
No effective integer factorization algorithm is known, and this fact forms the basis of several modern cryptographic systems, such as the RSA algorithm.
Not all computing problems benefit from this treatment,but it is particularly useful in the factorization of large numbers, necessary for cracking many forms of encryption.
Sffctr(poly):: Irreducible factorization over a small finite field. return list poly polynomial over a finite field Factorize poly into irreducible factors over a small finite field currently set.
Here we present a proof-of-concept experiment for probabilistic computing using spintronics technology,and demonstrate integer factorization, an illustrative example of the optimization class of problems addressed by adiabatic and gated quantum computing.
In most factorization tests, hundreds or thousands of computers are used over a period of several months, but the number of their cycles were used for the factoring project, the precise distribution of processor types, speeds, and so on are not usually reported.
These subroutines are useful for updating a QR factorization and are used in sequential and parallel Communication Avoiding QR.
The"Weak factorization theorem", proved by Abramovich, Karu, Matsuki, and Włodarczyk(2002), says that any birational map between two smooth complex projective varieties can be decomposed into finitely many blow-ups or blow-downs of smooth subvarieties.