Matrix has no value whereas a determinant has a value. An attempt is made to associate a value to a matrix, whose elements are integers. For that, a concept of “Height” is introduced in the matrices over Z. As soon as an integral value is associated with every matrix, an attempt is made to introduce odd, even and prime matrices etc. Then related number theoretical properties are proved.

The purpose of this study is the investigation of organizational behavior of the French communists in the May Movement in 1968. Particularly at the first part of the movement, a severe rivalry between the French Communist Party (PCF) and the radical student organizations occurred. Although both of them pursued the same political goals, they could not work out for a united front. Such a behavior...

Source retrieval is a part of a plagiarism discovery process, where only a selected set of candidate documents is retrieved from a large corpus of potential source documents and passed for detailed document comparison in order to highlight potential plagiarism. This paper describes a used methodology and the architecture of a source retrieval system, developed for PAN 2015 lab on uncovering pla...

The application of a new mean value theorem to the fractional parts of polynomials 1. Introduction. The new mean value estimates provided by recent advances in Waring's problem (see, in particular, [9, 10, 11, 14]) may plainly be applied to improve current estimates for αn k , the distance from αn

Becoming aware of conflicting information is an integral part of comprehending multiple documents on a scientific issue. We examined whether memory for conflicts and its application in an essay task could be enhanced by a combination of reading goals and text signals. Two highcoherence-orienting reading goals (reading to write a summary or an argumentation) were contrasted with a low coherence-...

Healthcare is adopting information technology as an integral part of clinical workflows and processes themselves. This places substantial demands upon the performance and behavior of such networks, especially as the paper records systems are retired, leading to the fundamental attributes of clinical-grade networks

Likelihood applications have become a central approach for molecular evolutionary analyses since the first computationally tractable treatment two decades ago. Although Felsenstein's original pruning algorithm makes likelihood calculations feasible, it is usually possible to take advantage of repetitive structure present in the data to arrive at even greater computational reductions. In particu...

We prove an explicit combinatorial formula for the structure constants of the Grothendieck ring of a Grassmann variety with respect to its basis of Schubert structure sheaves. We furthermore relate K-theory of Grassmannians to a bialgebra of stable Grothendieck polynomials, which is a K-theory parallel of the ring of symmetric functions.

The β-numeration, born with the works of Rényi and Parry, provides a generalization of the notions of integers, decimal numbers and rational numbers by expanding real numbers in base β, where β > 1 is not an integer. One of the main differences with the case of numeration in integral base is that the sets which play the role of integers, decimal numbers and rational numbers in base β are not st...

Normal conditional expectations E : M → N ⊆ M of finite index on von Neumann algebras M with discrete center are investigated to find an estimate for the minimal number of generators of M as a Hilbert N-module. Analyzing the case of M being finite type I with discrete center we obtain that these von Neumann algebras M are always finitely generated projective N-modules with a minimal generator s...