A graph with p vertices and q edges is said to have an even vertex odd mean labeling if there exists an injective function f:V(G){0, 2, 4, ... 2q-2,2q} such that the induced map f*: E(G) {1, 3, 5, ... 2q-1} defined by f*(uv)=     f u f v 2  is a bijection. A graph that admits an even vertex odd mean labeling is called an even vertex odd mean graph. In this paper we pay our attention to p...

We present a new approach to evaluation and interpolation phases of some (balanced and unbalanced) Toom-Cook multiplication methods for long integers when at least one factor is even. Some other optimization are also indicated. AMS Subject Classification: 11A05, 11A25, 11K65, 11Y70

We describe a class of facets of the polytope of convex combinations of the collection of even n × n permutation matrices. As a consequence, we prove the conjecture of Brualdi and Liu [4] that the number of facets of the polytope is not bounded by a polynomial in n.

Active learning (AL) is a paradigm where an active learner has to train a model (e.g., a classifier) which is in principle trained in a supervised way. In contrast to supervised learning, AL has to be done by means of a data set where a low fraction of samples is labeled or even with an initially unlabeled set of samples. To obtain labels for the unlabeled samples, the active learner has to ask...

We build upon previous work on the densities of uniform random walks in higher dimensions, exploring some properties of the even moments of these densities and extending a result about their modularity.

The purpose of this paper is to prove some results about quantum mechanical black box scattering in even dimensions d ≥ 2. We study the scattering matrix and prove some identities which hold for its meromorphic continuation onto Λ, the Riemann surface of the logarithm function. We relate the multiplicities of the poles of the continued scattering matrix to the multiplicities of the poles of the...

"Since its foundation in 1713, the Real Academia Española has set main objective of caring for language. With intention reaching this goal, addition to preparation works, Dictionary, Spelling and Grammar, institution also convened various competitions during 18th century promote proper use Poetry Eloquence providing some ideas related mottos contests. The first competition (1778) had as motto L...

Why do some people like negative, or even disgusting and provocative artworks? Art expertise, believed to influence the interplay among cognitive and emotional processing underlying aesthetic experience, could be the answer. We studied how art expertise modulates the effect of positive-and negative-valenced artworks on aesthetic and emotional responses, measured with self-reports and facial ele...