In this paper we study the relation between module amenability of $theta$-Lau product $A×_theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_theta l^1(S)$ is module amenable if and only if $S$ is amenable.

The discrete Fourier transform (DFT) maps a nite number of discrete time-domain samples to the same number of discrete Fourier-domain samples. Being practical to compute, it is the primary transform applied to real-world sampled data in digital signal processing. The DFT has special relationships with the discrete-time Fourier transform and the continuous-time Fourier transform that let it be u...

A general adaptation through 'exploration' approach for controlling discrete event systems is presented. In this approach optimal controllers for a few operating conditions are determined (exploration) and an on-line adaptation module is trained on this data for generalization. A machinerepair example is formulated to illustrate the general control method. The on-line adaptation mechanism is ap...

Abstract. This paper introduces a master-slave control method of teleoperating a redundant manipulator with double handles. The master handles send motion commands in the form of increments. The mapping module transforms the commands into homogeneous matrices. And the slave manipulator links discrete motion commands in the mode of PVAT automatically, by inverse kinematics and fifth-order polyno...

The aim of this paper is to present a comparative study on two different methods for the evaluation of the equilibrium point of a ship, core issue for designing an On Board Stability System (OBSS) module that, starting from geometry information of a ship hull, described by a discrete model in a standard format, and the distribution of all weights onboard calculates the ship floating conditions ...

Modular supervisory control of composed systems is investigated. Composed systems are discrete event systems represented by the composition of smaller subsystems. This paper refines the modular control by exploiting aspects of modularity of specifications and of plant, aiming to incorporate the least necessary number of subsystems in each control module. Then, a more efficient approach to verif...

We consider a generic Iwahori–Hecke algebra HO associated with a finite Weyl group, defined over a suitable discrete valuation ring O. We define filtrations on HO-modules in terms of Lusztig’s afunction. For a projective module, we show that the quotients of this filtration are direct sums of irreducible lattices. As an application, we prove refinements of the results on decomposition numbers o...

This paper presents a parallel architecture that can simultaneously perform block-matching motion estimation (ME) and discrete cosine transform (DCT). Because DCT and ME are both processed block by block, it is preferable to put them in one module for resource sharing. Simulation results performed using Simulink demonstrate that the parallel fashioned architecture improves the performance in te...

In this study, an avalanche extension to existing quasi-dynamic thermal model is developed. And the current and thermal distribution among paralleled devices under avalanche condition is investigated. The statistic distribution of breakdown voltage, terminal stray inductance and thermal coupling all affect final electrical and thermal balance of paralleled devices. Without careful design consid...

various methods for parametric interpolation of nurbs curves have been proposed in the past. however, the errors caused by the approximate nature of the nurbs interpolator were rarely taken into account. this paper proposes an integrated look-ahead algorithm for parametric interpolation along nurbs curves. the algorithm interpolates the sharp corners on the curve with the pythagorean-hodograph ...