in this paper, we associate canonically a precyclic mod- ule to a regular multiplier hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition

In this paper, we present the performance of twin precision technique in reduced computation modified booth (RCMB) multiplier to achieve double throughput, and an algorithm is proposed. Twin precision technique is the efficient way to obtain double throughput in the multipliers. We describe how to apply twin precision technique to RCMB multipliers. Implementation of twin precision in RCMB multi...

This theory provides a compact formulation of Gauss-Jordan elimination for matrices represented as functions. Its distinctive feature is succinctness. It is not meant for large computations. 1 Gauss-Jordan elimination algorithm theory Gauss-Jordan-Elim-Fun imports Main begin Matrices are functions: type-synonym ′a matrix = nat ⇒ nat ⇒ ′a In order to restrict to finite matrices, a matrix is usua...

Abstract. The multiplier representation of the generalized symmetry group of a quasiperiodic flow on the n-torus defines, for each subgroup of the multiplier group of the flow, a group invariant of the smooth conjugacy class of that flow. This group invariant is the internal semidirect product of a subgroup isomorphic to the n-torus by a subgroup isomorphic to that subgroup of the multiplier gr...

Reversible logic gates are very much in demand for the future computing technologies as they are known to produce zero power dissipation under ideal conditions. The applications of reversible logic gates include ultralow power, nano computing, quantum computing, low power CMOS design, optical information processing, bioinformatics etc. This paper proposes an improved design of a multiplier usin...