Quasi-probability distribution functions fj WW, fj MM for quantum spin-j systems are derived based on the Wigner-Weyl, Margenau-Hill approaches. A probability distribution fj sph which is nonzero only on the surface of the sphere of radius √j(j+1) is obtained by expressing the characteristic function in terms of the spherical moments. It is shown that the Wigner-Weyl distribution function turns out to be a distribution over the sphere in the classical limit.

The theories of inclusive fitness and multilevel selection provide alternative perspectives on social evolution. The question of whether these perspectives are of equal generality remains a divisive issue. In an analysis based on the Price equation, Queller argued (by means of a principle he called the separation condition) that the two approaches are subject to the same limitations, arising from their fundamentally quantitative-genetical character. Recently, van Veelen et al. have challenged Queller’s results, using this as the basis for a broader (...) critique of the Price equation, the separation condition, and the very notion of inclusive fitness. Here we show that the van Veelen et al. model, when analyzed in the way Queller intended, confirms rather than refutes his original conclusions. We thereby confirm (i) that Queller’s separation condition remains a legitimate theoretical principle and (ii) that the standard inclusive fitness and multilevel approaches are indeed subject to the same limitations. (shrink)

This paper examines the perceived ethical values of Malaysian managers. It is based on the opinions of 15 hypothetical ethical/unethical business situations from the 81 managers who agreed to participate in the survey. The findings of this study showed that these Malaysian managers have high ethical values. However 53% of the respondents believed that the ethical standards of today are lower than that of 15 years ago. Apparently, this is related to the existence of many unethical business practices prevalent in (...) the modern business world. The behavior of one's immediate superior is the most important factor in influencing managers to commit unethical practices. The results also indicate only a slight variation among the managers in terms of perceived ethical values by virtue of job position, job specialization, type of business activity or the size of the business organization. (shrink)

Please note that this article belongs to the Special Issue on the Legacy of David Lewis but was included in issue 195:5 by mistake. It should be regarded as part of this selection of articles.

A project of the Gandhi Centennial Committee of Southern Illinois University, the book outlines the basic tenets of Gandhian philosophy as interpreted by Western thinkers, deals with problems of American education, and offers some reflec­tions on what kinds of solutions may be posed by educators, primarily at the university level. The Foreword and Epilogue are by two distinguished Indian educators, _K. L. Shrimali_, Vice-chancellor, and _N. A. Nikam_, former Vice-chancellor, University of Mysore.

Few people would care to deny, whether within India or without, that Buddha is the greatest Indian of all times. Whether from the standpoint of the purity of his life, the daring originality and novelty of his thought, or the extent of his influence in shaping the culture of the world, it would be hard to beat the record of Buddha. Even making every allowance for the common idea that no man is a prophet in his own land, it is (...) difficult to believe that for the last thousand years Buddha has been practically an exile from the land of his birth. It is nothing short of an irony of history, and nothing short of a tragedy for India, that the great unifying force that he represented in his time and does represent even to-day has been allowed to run waste and the great moral stamina that he sought to supply failed in its historic mission. (shrink)

Bourbaki suggest that their definition of the number 1 runs to some tens of thousands of symbols. We show that that is a considerable under-estimate, the true number of symbols being that in the title, not counting 1 179 618 517 981 links between symbols that are needed to disambiguate the whole expression.

Habitat fragmentation produces isolated patches characterized by increased edge effects from an originally continuous habitat. The shapes of these patches often show a high degree of irregularity: their shapes deviate significantly from regular geometrical shapes such as rectangular and elliptical ones. In fractal theory, the geometry of patches created by a common landscape transformation process should be statistically similar, i.e. their fractal dimensions and their form factors should be equal. In this paper, we analyze 49 woodlot fragments (Pinus sylvestris L.) (...) in the Belgian Kempen region to study the direct relationship between a transformation process and the concomitant patch geometry. Although the fractal dimension of the woodlots is scattered (i.e. they are not statistically similar), the perimeter-area relation of the fragments is characterized by a single, ‘dimension-like’ exponent. This exponent suggests a certain shape homogeneity among the patches, which is confirmed by the absence of hierarchical levels associated with sharp increases of the fractal dimension at scale transitions. The interaction of different natural (soil factor, vegetation type) and anthropogenic (afforestation, urbanization) processes during patch development is assumed to have generated this feature. Comparison of the area and perimeter fractal dimension with an ecological index for habitat quality, the interior-to-edge ratio, shows that the fractal dimension is suitable for predicting interior habitat presence, which is more likely for patches with smooth perimeters and compact areas. The ratio of the area to the perimeter fractal dimension confirms this observation, with high values for high interior-to-edge ratios, characteristic for regularly shaped patches. (shrink)

Names of Romans in Josephus are notoriously liable to corruption. Two minor characters in his account of the assassination of Caligula have so far defied plausible emendation, ‘Timidius’ in A.J. 19.33–4 and ‘Bathybius’ in 19.91. The sources of Josephus’ account of this dramatic episode were unquestionably high class—two, rather than one, Latin historians, as Wiseman has demonstrated, the main one being Cluvius Rufus, the other possibly Fabius Rusticus.

Informed consent is reviewed as it applies to psychiatric patients. Although new legislation, such as the Mental Health Act 1983, provides a useful safeguard for the protection of the civil rights of patients, it could actually reduce their humane care unless applied with sensitivity for the nature of their unique difficulties. In order to guard against this possibility, we suggest that legal requirements should be considered in light of the ethical principles which underlie them. Three principles are considered: those of (...) autonomy (freedom); beneficence (paternalism); and the fiduciary principle (partnership). Psychotherapy is offered as a model for informed consent, which might be generalised to other clinical situations. (shrink)