Two’s complement multipliers are important for a wide range of applications. Paper describes a technique to reduce by one row the maximum height of the partial product array generated by Radix-4 Booth’s multiplier, without any increase in the delay of the partial product generation stage. The design of 8 bit and 16 bit multiplication scheme using different types of multiplier like Array multipl...

Multiplier is one of the essential element for all digital systems such as digital signal processors, microprocessors etc. In this paper, a new high speed multiplier using booth recoding technique is presented. This algorithm can be implemented by using the radix-8 booth recoding process. The proposed multiplier reduces the partial product array by almost 3/4 th the size of the bits. This reduc...

In the recent progress [BE1], [Me] and [Z2], the wellknown JC (Jacobian conjecture) ([BCW], [E]) has been reduced to a VC (vanishing conjecture) on the Laplace operators and HN (Hessian nilpotent) polynomials (the polynomials whose Hessian matrix are nilpotent). In this paper, we first show the vanishing conjecture above, hence also the JC, is equivalent to a vanishing conjecture for all 2nd or...

Superfield constraints were often used in the past, in particular to describe the AkulovVolkov action of the goldstino by a superfield formulation with L=(ΦΦ)D+[(fΦ)F+h.c.] endowed with the nilpotent constraint Φ = 0 for the goldstino superfield (Φ). Inspired by this, such constraint is often used to define the goldstino superfield even in the presence of additional superfields, for example in ...

Maximal and minimal conditions for ideals in associative rings have often been considered, but little seems to be known of these conditions in non-associative rings, or of chain conditions on the non-normal subgroups of a group. Moreover, it is usual to assume the condition for one-sided ideals in noncommutative rings, and the weaker condition for two-sided ideals rarely appears. In this note w...

the present paper is an attempt to: 1- demonstrate how money is created (by the nature of the system), and to estimate the inflation resulting from monetary factors in both usurious and non-usurious systems. operational aspects of islamic and non-islamic banking systems are compared. 2- introduce a corrective term to be added to the multiplier of the supply of money, in order to prevent the und...

in this paper, we introduce the notion of multiplier in -algebra and study relationships between multipliers and some special mappings, likeness closure operators, homomorphisms and ( -derivations in -algebras. we introduce the concept of idempotent multipliers in bl-algebra and weak congruence and obtain an interconnection between idempotent multipliers and weak congruences. also, we introduce...

We determine which nilpotent orbits in E6 have closures which are normal varieties and which do not. At the same time we are able to verify a conjecture in [14] concerning functions on nonspecial nilpotent orbits for E6.

let $r$ be a ring with unity. the undirected nilpotent graph of $r$, denoted by $gamma_n(r)$, is a graph with vertex set ~$z_n(r)^* = {0neq x in r | xy in n(r) for some y in r^*}$, and two distinct vertices $x$ and $y$ are adjacent if and only if $xy in n(r)$, or equivalently, $yx in n(r)$, where $n(r)$ denoted the nilpotent elements of $r$. recently, it has been proved that if $r$ is a left ar...