We describe a fast method to simulate in a semi – analytical way consistent maps of the thermal , kinetic and polarised Sunyaev – Zel '-dovich effect , featuring both cluster spatial correlations and large – scale velocity flows .

We show that any symmetric positive definite homogeneous matrix polynomial M ∈ R[x1, . . . , xn] admits a piecewise semi-certificate, i.e. a collection of identites M(x) = P j fi,j(x)Ui,j(x) T Ui,j(x) where Ui,j(x) is a matrix polynomial and fi,j(x) is a non negative polynomial on a semialgebraic subset Si, where R = ∪ri=1Si. This result generalizes to the setting of biforms. Some examples of c...

Including three aspects, problem solving, theorem proving and theorem discovering, automated deduction in real geometry essentially depends upon the semi-algebraic system solving. A “semi-algebraic system” is a system consisting of polynomial equations, polynomial inequations and polynomial inequalities, where all the polynomials are of integer coefficients. We give three practical algorithms f...

present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (fg) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. the plate is coupled by an elastic medium which is simulated as a winkler- pasternak foundation with gradient coefficients in the radial and circumferential...

This thesis investigates the application of Gröbner bases to cryptanalysis of block ciphers. The basic for the application is an algorithm for solving systems of polynomial equations via Gröbner basis computation. In our case, polynomial equations describe the key recovery problem for block ciphers, i.e., the solution of these systems corresponds to the value of the secret key. First we demonst...

Perez, F.F. and Fraga, F., 1987. A precise and rapid analytical procedure for alkalinity determination. Mar. Chem., 21: 169-182. A potentiometric analytical method is proposed for the determination of the alkalinity of seawater. The precision is 0.1% and each determination takes 3 min. The technique is very easy to use, even on board ship since it is carried out in open flasks. A polynomial equ...

a new approach for analyzing cracked problems in 2d orthotropic materials using the well-known element free galerkin method and orthotropic enrichment functions is proposed. the element free galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. in this study, element free galerkin is extrinsically enriched by the recently developed crack-tip orthot...

In this work, the solution of a boundary value problem is discussed via a semi analytical method. The purpose of the present paper is to inspect the application of the Adomian decomposition method for solving the Nagumo telegraph equation. The numerical solution is obtained for some special cases so that demonstrate the validity of method.

By the semi-inverse method, a variational principle is obtained for the Thomas– Fermi equation, then the Ritz method is applied to solve an analytical solution, which is a much simpler and more efficient method. 2002 Elsevier Science Inc. All rights reserved.