High performance systems are required by the developers for fast processing of computationally intensive applications. Reconfigurable hardware devices in the form of FiledProgrammable Gate Arrays (FPGAs) have been proposed as viable system building blocks in the construction of high performance systems at an economical price. Given the importance and the use of matrix algorithms in scientific c...

In this note, we announce a new result concerning functions operating on multiplier algebras. We begin by introducing the following notation. Let G be a LCA group with dual group I\ M(G) will denote the algebra of finite, regular Borel measures on G. Let M0(G) = {M E M(G)\ jl vanishes at <*> on T}. If 1 < p < °°, let M (G) denote the class of multiplier transformations on L (G). If T G Mp(G), f...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

Formal and informal modifications to the US-Japan Alliance have expanded value operational structure delivers in support of US Japanese national combined naval activities Southeast Asia. This article analyzes how now serves as an increasingly powerful force multiplier which magnifies capabilities, efficiency, impact two allies’ Unlike previous studies on role United States or Japan region, it f...

The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified Brauer group of a given quotient space. We derive a homological version of the Bogomolov multiplier, prove a Hopf-type formula, find a five term exact sequence corresponding to this invariant, and describe the role of the Bogomolov multiplier in the theory of central extensions. A new description of the Bogom...

The floating-point multiplication is one of the most basic and frequent digital signal processing operations, and its accuracy and throughput greatly decide the overall accuracy and throughput of the digital signal processors. Based on vectorizing a conventional double precision multiplier, we propose a multiple precision floating-point multiplier. It supports either one double precision multip...