P2p -factorization of a complete bipartite graph for p, an integer was studied by Wang [1]. Further, Beiling [2] extended the work of Wang[1], and studied the P2k -factorization of complete bipartite multigraphs. For even value of k in Pk -factorization the spectrum problem is completely solved [1, 2, 3]. However for odd value of k i.e. P3 , P5 and P7 , the path factorization have been studied ...

Factorization Machines (FM) are a new model class that combines the advantages of polynomial regression models with factorization models. Like polynomial regression models, FMs are a general model class working with any real valued feature vector as input for the prediction of real-valued, ordinal or categorical dependent variables as output. However, in contrast to polynomial regression models...

An iterative predictor-corrector technique for the elimination of the approximate factorization errors which result from the factorization of linearized 0-methods in multidimensional reaction~iiffusion equations is proposed, and its convergence and linear stability are analyzed. Four approximate factorization techniques which do not account for the approximate factorization errors are developed...

This paper focuses on the robustness problem of full implication triple implication inference method for fuzzy reasoning. First of all, based on strong regular implication, the weighted logic metric for measuring distance between two fuzzy sets is proposed. Besides, under this metric, some robustness results of the triple implication method are obtained, which demonstrates that the triple impli...

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Background: Since Positive Parenting Program (Triple-P) is one of the ways to improve parent-child interaction, it seems that conducting a meta-analysis will help determine the actual effect size of Triple-P. The aim of this study was to meta-analyze the effect of level 4 Triple-P on interaction of parent-child with special needs in Iran. Methods: The current study is a meta-analysis. Before t...

We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour space. The collinear singularities are embodied in process-independent splitting matrices that depend on the momenta, flavours, spins and colours of the collinear...

This article presents the accounts of China’s Total Material Requirement (TMR) during 1995–2008, which were compiled under the guidelines of Eurostat (2009) and with the Hidden Flow (HF) coefficients developed by the Wuppertal Institute. Subsequently, comparisons with previous studies are conducted. Using decomposition, we finally examine the influential factors that have changed the TMR of Chi...

We provide a new family of elliptic curves that results in a one to two percent performance improvement of the elliptic curve integer factorization method. The speedup is confirmed by extensive tests for factors ranging from 15 to 63 bits.