We report our results on nonlinear optical properties of 2(3), 9(10), 16(17), 23(24) tetra tert-butyl phthalocyanine and 2(3), 9(10), 16(17), 23(24) tetra tert-butyl Zinc phthalocyanine studied using Z-scan technique with 800 nm femtosecond and 532 nm nanosecond pulses. Nonlinear absorption behavior in both femtosecond and nanosecond domains was studied in detail. We observed three-photon absor...

We study direct CP violation in hadronic B-decays in the ρ 0-ω interference region, and focus specifically on the rate asymmetry in B ± → ρ ± ρ 0 (ω) → ρ ± π + π −. In this channel, the strong phase is dominated by isospin violation, so that it can be essentially determined by e + e − → π + π − data in the ρ 0-ω interference region. We find that the asymmetry in the ρ ± π + π − channel is of or...

Correlation and covariance matrices provide the basis for all classical multivariate techniques. Many statistical tools exist for analyzing their structure, but, surprisingly, there are few techniques for exploratory visual display, and for depicting the patterns of relations among variables in such matrices directly, particularly when the number of variables is moderately large. This paper des...

This paper studies how national sentiment in the form of either a perception or a loyalty bias of bettors may affect pricing patterns on national wagering markets for international sport events. We show theoretically that both biases can be profitably exploited by bookmakers by way of price adjustment (odds shading). The former bias induces bookmakers to shade odds against the domestic team, th...

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 ...