Humans contribute to a broad range of cooperative endeavors. In many of them, the amount or effort contributed often depends on the social context of each individual. Recent evidence has shown how modern societies are grounded in complex and heterogeneous networks of exchange and cooperation, in which some individuals play radically different roles and/or interact more than others. We show that...

The problem of the multiplicity of word meanings has preoccupied so many researches from the linguistics, psychology or computational linguistic. In this paper, we revised how LSA represents the polysemous words and we explain some bias related with the meaning generation and revised some constraint-satisfaction models which introduce into the equation some dynamic mechanisms. The idea of these...

We examine the phenomenology of particle multiplicity distributions, with special emphasis on the low multiplicities that are a background to the study of rapidity gaps. In particular, we analyze the multiplicity distribution in a rapidity interval between two jets, using the HERWIG QCD simulation with some necessary modifications. The distribution is not of the “negative binomial” form, and di...

We find upper and lower bounds of the multiplicities of irreducible admissible representations π of a semisimple Lie group G occurring in the induced representations IndH τ from irreducible representations τ of a closed subgroup H. As corollaries, we establish geometric criteria for finiteness of the dimension of HomG(π, Ind G H τ) (induction) and of HomH(π|H , τ) (restriction) by means of the ...

Models generalizing the su(2) XX spin-chain were recently introduced. These XXC models also have an underlying su(2) structure. Their construction method is shown to generalize to the chains based on the fundamental representations of the Am Lie algebras. Integrability of the new models is shown in the context of the quantum inverse scattering method. Their R-matrix is found and shown to yield ...

The heart of intersection theory resides in the following situation. Given a purely d-dimensional analytic set X, and subsets V and W intersecting at a point x ∈ X, V and W given by i and j equations respectively where i + j = d, then the correct number of times to count x is the multiplicity of the ideal I in the local ring of X at x, where I is the ideal generated by the equations of V and W....

When asked the direction between Phildadelphia and Rome, most people err. They say that Philadelphia is north of Rome when in fact, it is south of Rome. This cannot be dismissed as the weather, because when asked the direction between Boston and Rio, a majority of people erroneously say that Boston is east of Rio. Nor are these errors a simple consequence of randomness, nor of ignorance of geog...

Within higher education, internationalisation is increasingly important for students and academics alike. In this context, English as the lingua franca has gained prominence. The ostensible ubiquity of rests on a particular rendering language unitary, fixed, undifferentiated. paper, we challenge notion use spatial approach to explore multiplicity Englishes display within education context. Incr...