Canonical ensembles of Hubbard dimers, each of which is described by the two-site Hubbard model, have been studied within the nonextensive statistics (NES). The temperature dependences of the energy, entropy, specific heat and susceptibility have been calculated for the number of dimers M = 1, 2, 3 and ∞. We have assumed the relation between the entropic index q and the cluster size N given by ...

ion, 338 animal visual system, 314 aromatic rings, 340 asymptotic behavior, 85–86, 213 attractor, 147, 236, 314, 317 avalanche process, 324 Avogadro number, 16 Axelrod model, 307 backbone, 60–61 backdoor, 61–64 batch setting, 94 Bayes’ decision rule, 95 Bayes error, 95 Bethe lattice, 39 bifurcations, 317 blind spot, 231, 329, 333 Boltzman constant, 19 boolean algebra, 169 attribute, 169 express...

In recent years, much study has been made by applying the non-extensive statistics (NES) to various non-extensive systems where the entropy and/or energy are not necessarily proportional to the number of their constituent subsystems. The non-extensivity may be realized in many systems such as physical, chemical and biological ones, and also in small-scale nanosystems. After briefly reviewing th...

The first section gives the measure of uncertainty given by Shannon (1948) and the generalizations thereof by Schvitzenberger (1954), Kullback (1959), Renyi (1961,1965), Kapur (1967, 1968), and Rathie (1970). It gives some postulates characterizing Shannon's entropy, Renyi's entropy of order a and our entropy of order a and type P. It also gives some properties of this most general type of entr...

Spend your few moment to read a book even only few pages. Reading book is not obligation and force for everybody. When you don't want to read, you can get punishment from the publisher. Read a book becomes a choice of your different characteristics. Many people with reading habit will always be enjoyable to read, or on the contrary. For some reasons, this computer methods for ordinary different...

to start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ode. then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. it is required to state that the infinite series method is a well-organized method for obtaining exact s...