We consider WZW models based on the non-semi-simple algebras that they were recently constructed as contractions of corresponding algebras for semi-simple groups. We give the explicit expression for the action of these models, as well as for a generalization of them, and discuss their general properties. Furthermore we consider gauged WZW models based on these non-semi-simple algebras and we sh...

in this article we introduce the notion of textit{fractal $omega$-operad} emerging from  a natural $omega$-operad associated to any coglobular object in the category of higher operads in batanin's sense, which in fact is a coendomorphism $omega$-operads. we have in mind coglobular object of higher operads which algebras are kind of higher transformations. it follows that this natural $omega$-op...

Reversible logic has attracted tremendous interest among the researchers in low power VLSI field due to their simple structure and improved energy efficiency. In this paper, the implementation of an 8-bit low power multiplier based on reversible gate technology is reported. The structure of the reversible gate multiplier consists of following components: the first part is the reversible partial...

We show that the assumption n1 > λ in the Second Multiplier Theorem can be replaced by a divisibility condition weaker than the condition in McFarland’s multiplier theorem, thus obtaining significant progress towards the multiplier conjecture.

Article history: Received Accepted Available online 20 Nov. 2014 19 Dec. 2014 25 Dec. 2014 Based on the simplification of the addition operations in a low-power bypassing-based multiplier, a low-cost low-power bypassing-based multiplier is proposed. Row-bypassing multiplier, column-bypassing multiplier, 2-Dimensional bypassing multiplier and braun multipliers are implemented in CMOS and GDI tec...

In this paper we shall study the multipliers on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all multipliers on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of m...

This paper proposes a novel recursive structure block-based Wallace tree multiplier with the capability to tune its accuracy based on the precision and power requirements. The multiplier performs multiplication operations recursively from small blocks to large blocks, with a fine grain capability of turning off small blocks to trade off with power. By tuning the fidelity design “knob”, we show ...

The newly proposed reconfigurable multiplier blocks offer significant savings in area over the traditional multiplier blocks for time-multiplexed digital filters or any other system where only a subset of the coefficients that can be produced by the multiplier block is needed in a given time. The basic structure comprises a multiplexer connected to at least one input of an adderhbtractor that c...

Multiplication is one of the basic functions used in digital signal processing (DSP). It requires more hardware resources and processing time than addition and subtraction. In fact, 8.72% of all instructions in a typical processing unit is multiplier. The multiplier is a fairly large block of a computing system. The amount of circuitry involved is directly proportional to square of its resoluti...

ABSTRACT This paper introduces a digit-serial GF(2m) multiplier for use in the polynomial basis. The multiplier works with the most significant digit first and is scalable to an arbitrary digit size and can be constructed for any GF(2m). It is derived from a commonly used MSB first bit-serial multiplier, known as the standard shift-register multiplier. As the latency of the multiplier decreases...