We give linear-time quasiconvex programming algorithms for finding a Möbius transformation of a set of spheres in a unit ball or on the surface of a unit sphere that maximizes the minimum size of a transformed sphere. We can also use similar methods to maximize the minimum distance among a set of pairs of input points. We apply these results to vertex separation and symmetry display in spherica...

To test the hypothesis that the established relationship between materialism and psychological well-being would be eliminated or significantly attenuated when controlling for social support, 159 American college students completed the Richins and Dawson (1992) materialism scale, the Cohen and Hoberman (1983) Interpersonal Support Evaluation List, and the Brief Measures of Positive and Negative ...

Lieb’s conjecture for the Wehrl entropy of Bloch coherent states is proved for spin 1 and spin 3/2. Using a geometric representation we solve the entropy integrals for states of arbitrary spin and evaluate them explicitly in the cases of spin 1, 3/2, and 2. We also give a group theoretic proof for all spin of a related inequality. c ©1999 by the author. Reproduction of this article, in its enti...

An assay technique, homogeneous enzyme immunoassay, is described for the quantitative determination of morphine derivatives in biological fluids. An enzyme is labeled with morphine. When the enzymelabeled morphine is bound by antimorphine antibodies, the enzyme is rendered inactive. Free morphine competes with enzyme-morphine for antibody binding sites preventing inhibition of enzyme activity. ...

This paper uses a simple economic model of contract choice to explain the growth of sharecropping in sixteenthand seventeenthcentury France--a topic that figures in much of the social and economic history of the period. The theory turns out to fit both qualitati·ve and quantitative evidence, and although the results are as yet only preliminary, the theory does provide a better account of the sp...

the shift in the axis of development in final decade of 20th century changed its centrality from social sphere to the cultural sphere. nowadays, cultural development is a precondition to achieve other components of development and those countries that are able to achieve cultural development will be regarded successful at individual and societal levels. the present paper reviews the situation a...

Secure group communication systems become more and more important in many emerging network applications. For a secure group communication system, an efficient and robust group key management approach is essential. In this paper, a new group key management approach with a group controller GC using the theory of hyper-sphere is developed, where a hyper-sphere is constructed for the group and each...

The paper grounds the necessity of much earlier socialization of children in the Internet age. The main goal is to make children (including teenagers) be aware of possible social consequences of their misuse of information and communication technologies, in particular, of the cell telephones and the Internet. An original method of early forming the cognitive subspace of moral values and social ...