We present a fast and accurate numerical scheme for the approximation of the primitive equations of the atmosphere. The temporal variable is discretized by using a special semiimplicit scheme which requires only to solve a Helmholtz equation and a nonlocal Stokes problem at each time step; the spatial variables are discretized by a spectral-Galerkin procedure with the horizontal components of v...

Abstract Non-equilibrium processes in Schottky systems generate by projection onto the equilibrium subspace reversible accompanying for which non-equilibrium variables are functions of ones. The embedding theorem guarantees compatibility with entropy is proved. defined as a state function on space containing contact temperature variable. If production does not depend internal energy, changes in...

The present article is devoted to the 3D dissipative quasi-geostrophic system (QG). This system can be obtained as limit model of the Primitive Equations in the asymptotics of strong rotation and stratification, and involves a non-radial, nonlocal, homogeneous pseudo-differential operator of order 2 denoted by Γ (and whose semigroup kernel reaches negative values). After a refined study of the ...

In the project we describe, we have taken a basic core of about 5000 synsets in WordNet that are the most frequently used, and we have categorized these into sixteen broad categories, including, for example, time, space, scalar notions, composite entities, and event structure. We have sketched out the structure of some of the underlying abstract core theories of commonsense knowledge, including...

Online Social Networks (OSNs) have an infamous history of privacy and security issues. One approach to avoid the massive collection of sensitive data of all users at a central point is a decentralized architecture. An event invitation feature – allowing a user to create an event and invite other users who then can confirm their attendance – is part of the standard functionality of OSNs. We form...

We prove the existence of hidden symmetries in the general relativity theory defined by exact solutions with generic off–diagonal metrics, nonholonomic (non–integrable) constraints, and deformations of the frame and linear connection structure. A special role in characterization of such spacetimes is played by the corresponding nonholonomic generalizations of Stackel–Killing and Killing–Yano te...

We develop a new least squares method for solving the second-order elliptic equations in non-divergence form. Two least-squares-type functionals are proposed two steps. first obtain numerical approximation to gradient piecewisely irrotational polynomial space. Then together with gradient, we seek solution of primitive variable continuous finite element The variational setting naturally provides...

An r-valued m-variable reversible logic function maps each of the rm input patters to a unique output pattern. The synthesis problem is to realize a reversible function by a cascade of primitive reversible gates. In this paper, we present a simple heuristic algorithm that exploits the bidirectional synthesis possibility inherent in the reversibility of the specification. The primitive reversibl...

Primitive neuroectodermal tumor (PENETs) is an uncommon malignancy of bone and soft tissue witch rarely occurs in the kidney. In more than 90% of the cases, the tumor cells relieves a balanced translocation (11; 22) (q24; q12). Immunohistochemical staining may be required for diagnosis of PENET. The cells of tumor express CD99, vimentin, NSE, FL1 but do not express Ck, LCA, myogenin, and WT1. W...