We present a theorem of Kollár on the density property of valued PAC fields and a theorem of Abraham Robinson on the model completeness of the theory of algebraically closed non-trivial valued fields. Then we prove that the theory T of non-trivial valued fields in an appropriate first order language has a model completion T̃ . The models of T̃ are non-trivial valued fields (K, v) that are ω-imper...

Let G be a locally compact group, and let WAP(G) denote the space of weakly almost periodic functions on G. We show that, if G is a [SIN]-group, but not compact, then the dual Banach algebra WAP(G)∗ does not have a normal, virtual diagonal. Consequently, whenever G is an amenable, non-compact [SIN]-group, WAP(G)∗ is an example of a Connes-amenable, dual Banach algebra without a normal, virtual ...

Correspondence: homidan@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, P. O. Box 119, Saudi Arabia Abstract Hankel operators and Hankel transforms are required in a number of applications. This article proves a number of theorems that efficiently and accurately approximates a function using Hankel transforms and Hankel sum....

The brand is a very special asset and in many businesses it is the most important asset. This is due to the farreaching economic impact that brands have on enterprise. Brands influence the choice of customers, employees, investors and government authorities. In a world of abundant choices such influence is crucial for commercial success and creation of shareholder value. Even non-profit organis...

A parallel implementation of root finding on an SIMD application accelerator is reported. These are roots of stochastic differential equations in the computational finance domain which require a stochastic simulation to be performed for each evaluation of the pricing function. Experiments show that a speedup of 15X can be achieved over using a stand-alone CPU processor, depending on the require...

let r be a ring and v be a matrix valuation on r. it is shown that, there exists a correspondence between matrix valuations on r and some special subsets ?(mvpr) of the set of all square matrices over r, analogous to the correspondence between invariant valuation rings and abelian valuation functions on a division ring. furthermore, based on malcolmson’s localization, an alternative proof for t...

As intellectual property (IP) has become an integral part of business strategy, the valuation of these assets has become more and more critical. Consequently, the strategic decisions of Indian SMEs also increasingly depend on understanding the economics affecting the value of these assets and most crucially appraising the approximate value of their IP. In this light, the paper reviews the princ...

In this paper we give some sufficient conditions, which ensure the existence of pseudo almost periodic solutions to some classes of non-autonomous first-order partial neutral functional-differential with unbounded delay. c © 2006 Elsevier Ltd. All rights reserved.

Let G be a locally compact group, and let WAP(G) denote the space of weakly almost periodic functions on G. We show that, if G is a [SIN]-group, but not compact, then the dual Banach algebra WAP(G)∗ does not have a normal, virtual diagonal. Consequently, whenever G is an amenable, non-compact [SIN]-group, WAP(G)∗ is an example of a Connes-amenable, dual Banach algebra without a normal, virtual ...

Let {T (t)} t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T (t)} via the Hille-Yosida space of its generator.