Methods to compute 1–factorizations of a complete graphs of even order are presented. For complete graphs where the number of vertices is a power of 2, we propose several new methods to construct 1–factorizations. Our methods are different from methods that make use of algebraic concepts such as Steiner triple systems, starters and all other existing methods. We also show that certain complete ...

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category $mathcal X$ are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structur...

We construct the three-variable $p$-adic triple product $L$-functions attached to Hida families of elliptic newforms and prove explicit interpolation formulae at all critical specializations by establishing Ichino's for trilinear period integrals automorphic forms. Our perfectly fit conjectural shape predicted Coates Perrin-Riou. As an application, we factorization certain unbalanced into a ant...

classes of‎ ‎abaffy-broyden-spedicato (abs) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎the algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎here‎, ‎we show how to apply the abs algorithms to devise algorithms to compute the wz and zw‎ ‎factorizations of a nonsingular matrix as well as...

classes of‎ ‎abaffy-broyden-spedicato (abs) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎the algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎here‎, ‎we show how to apply the abs algorithms to devise algorithms to compute the wz and zw‎ ‎factorizations of a nonsingular matrix as well as...

Hard single diffractive processes are studied within the framework of the triple–Pomeron approximation. Using a Pomeron structure function motivated by Regge–theory we obtain parton distribution functions which do not obey momentum sum rule. Based on Regge– factorization cross sections for hard diffraction are calculated. Furthermore, the model is applied to hard diffractive particle production...

Multi-label classification problem has become more important in image processing and text analysis where an object often is associated with many labels at the same time. Recently, even in this problem setting dimension reduction aiming at avoiding the curse of dimensionality has gathered an attention, but it is still a challenging problem. Nonnegative Matrix Factorization (NMF) is one of promis...

We study the distribution of spacings between squares modulo q, where q is square-free and highly composite, in the limit as the number of prime factors of q goes to infinity. We show that all correlation functions are Poissonian, which among other things, implies that the spacings between nearest neighbors, normalized to have unit mean, have an exponential distribution. Date: Dec 14, 1998. Sup...