Phases of a matrix model with non-pairwise index contractions

On inconsistency of a pairwise comparison matrix

on inconsistency of a pairwise comparison matrix

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Finite Groups With a Certain Number of Elements Pairwise Generating a Non-Nilpotent Subgroup

Fisher Non-negative Matrix Factorization with Pairwise Weighting

Non-negative matrix factorization (NMF) is a powerful feature extraction method for finding parts-based, linear representations of non-negative data . Inherently, it is unsupervised learning algorithm. That is to say, the classical NMF algorithm does not respect the class-specific information. This paper presents an improvement of the classical NMF approach by imposing Fisher constraints. This ...