This paper presents a synthesisable VHDL model for a generalised multiplier capable of performing multiplication of both sign-magnitude and two’s complement operands. The multiplier is testable with a constant number of test vectors irrespective of operand word-lengths thereby reducing automatic test generation, simulation and testing times. The model has been used successfully for generating m...

‎For a homogeneous spaces ‎$‎G/H‎$‎, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of ‎$‎G‎$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of ...

Consider the semidirect product group H ×? K, where H and K are two arbitrary locally compact groups and K is also abelian. We introduce the continuous wavelet transform associated to some square integrable representations H ×? K. Moreover, we try to obtain a concrete form for admissible vectors of these integrable representations.

We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is generated by the sign representation. The torsion subgroup is trivial for the alternating groups. The torsion-free part of the group is free abelia...

3 W . H A A S , J . ADAMS, a n d J . B . FLANNERY, P h y s . R e v . L e t ters 25, 1326 [1970]. 4 Deviations from the square law at large d are discussed in Ref. 1. Figure 2 together with Eq. (2) of Ref. 1 yields for the rigidity of wall alignment C < 1 1 0 4 erg c m 2 if we take for K33 the value used in the present paper. elusive evidence f o r liquid-crystalline curvature electricity and a ...

here, the concept of quantum potential that has been illustrated in extended phase space (eps) in previous works is explored for its marginal behavior. unlike in configuration space, different representations of the quantum mechanics can be found in eps when exploiting appropriate canonical transformations. these canonical transformations revealed that there exist several representations in whi...

We describe a sensitive technique for measuring nonlinear refraction in a variety of materials that offers simplicity, sensitivity and speed. The transmittance of a sample is measured through a finite aperture in the far -field as the sample is moved along the propagation path (z) of a focused Gaussian beam. The sign and magnitude of the nonlinearity is easily deduced from such a transmittance ...

Abstract. Signed digit representations with base q and digits − q 2 , . . . , q 2 (and uniqueness being enforced by applying a special rule which decides whether −q/2 or q/2 should be taken) are considered with respect to counting the occurrences of a given (contiguous) subblock of length r. The average number of occurrences amongst the numbers 0, . . . , n−1 turns out to be const · log q n + δ...