W¨olk, S., Feiler, C., Schleich, W.: Factorization of numbers with truncated Gauss sums at rational arguments. Journal of Modern Optics 56(18-19), 21182124 (2009). DOI 10.1080/09500340903194625. URL http://dx.doi.org/10.1080/09500340903194625...
Noun1.factorization- (mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity factoring,factorisation resolving,resolution- analysis into clear-cut components math,mathematics,maths- a science (or group of related sciences) dealing with the...
Perform Prime Factorization of Large Numbers Perform prime factorization for 41758540882408627201. Since the integer is greater than flintmax, convert it to a symbolic object using sym, and place the number in quotation marks to represent it accurately. n = sym('41758540882408627201'); factor(n) ans...
This expansion is asymptotically exact, which means that the exact wave function is recovered in the limit of large domains. Moreover, the number of factors needed to define a wave function has a slow growth as a function of the system size. The idea is illustrated through applications to ...
The authors derive a matrix factorization of the coefficient variances for any fixed transformation. This factorization formulation provides a better framework for understanding the role of transform on the one hand, and the signal source model on the other. It also greatly simplifies the number of ...
opinion, the more self-explanatory termconjugate cancellation. In this paper, we extend the definition of conjugate cancellation by requiring that the implications hold only for integerskdividing, see Definition2.3. This allows us to cover a larger set of diamond products, as explained in Sect.2....
In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma. These factorizations lead us to some new inequalities, one is a generalized version of Hilbert’s
Lenstra, A. K. and Lenstra, H. W. Jr. "Algorithms in Number Theory." In Handbook of Theoretical Computer Science, Volume A: Algorithms and Complexity (Ed. J. van Leeuwen). New York: Elsevier, pp. 673-715, 1990.Pomerance, C. "A Tale of Two Sieves." Not. Amer. Math. Soc. 43...
We discuss how to decide whether a given C-finite sequence can be written nontrivially as a product of two other C-finite sequences.
In contrast to standard approaches such as factor analysis (FA)2, which ignore spatial context, MEFISTO3 pioneered spatially-aware dimension reduction by representing high-dimensional gene expression features as a linear combination of a small number of latent Gaussian processes (GPs). A GP is a ...