We prove boundedness of a general class multipliers and Fourier multipliers, in particular the Hilbert transform, when acting on quasi-Banach modulation spaces. also deduce for multiplications convolutions elements such

Approximate multipliers are widely being advocated for energy-efficient computing in applications that exhibit an inherent tolerance to inaccuracy. However, the inclusion of accuracy as a key design parameter, besides the performance, area and power, makes the identification of the most suitable approximate multiplier quite challenging. In this paper, we identify three major decision making fac...

We propose a split array multiplier organized in a left-to-right leapfrog (LRLF) structure with reduced delay compared to conventional array multipliers. Moreover, the proposed design shows equivalent performance as tree multipliers for n ≤ 32. An efficient radix-4 recoding logic generates the partial products in a left-to-right order. The partial products are split into upper and lower groups....

The lack of human performance data in human reliability analysis (HRA) has been lamented in the literature for a long time. It can increase the variability, uncertainty, unreliability of HRA outcomes to probabilistic risk analysis (PRA). This situation is even worse for PRA/HRA in digital main control rooms (MCRs) of nuclear power plants (NPPs). Expert judgment is used when data is unavailable....

Tree Multipliers are frequently used to reduce the delay of array multipliers. The objective of tree multipliers is to utilize the concept of carry save adders in reducing the partial product. Two well known tree multipliers Wallace and Dadda uses full adders and half adders for the aforesaid purpose. This paper implements a multiplier which will perform reduction of partial products using 4 bi...

We consider convex constrained optimization problems, and we enhance the classical Fritz John optimality conditions to assert the existence of multipliers with special sensitivity properties. In particular, we prove the existence of Fritz John multipliers that are informative in the sense that they identify constraints whose relaxation, at rates proportional to the multipliers, strictly improve...

Multipliers are routinely used for impact evaluation of private projects and public policies at the national and subnational levels. Oosterhaven & Stelder (2002) correctly pointed out the misuse of standard ‘gross’ multipliers and proposed the concept of ‘net’ multiplier as a solution to this bad practice. We prove their proposal is not well founded. We do so by showing that supporting theorems...