The question of how to construct polynomials having as many roots as allowed by the Descartes rule of signs has been the focus of interest recently 1],,2]. For a given real polynomial p(x) = a 0 + a 1 x + + a n x n ; Descartes's rule of signs says that the number of positive roots of p(x) is equal to the number of sign changes in the sequence a 0 ; a 1 ; : : : ; a n , or is less than this numbe...

The basic problem in poverty measurement is how to weigh the income of different groups. This is a normative problem on which people differ in opinion, and hence we should seek a way of dealing with the issue that takes into account this plurality. In the paper, we suggest an approach to poverty measurement which avoids incorporating any particular normative position on how to weigh the interes...

The problem of human's two domains has a significant influence on human knowledge, and since the human privilege in the universe to the other beings as well as the immateriality of the soul and so on is based on proving the soul's substance separately, it worths to search in this issue about the ideas of two Western and Islamic philosophers. Ibn Sīnā with arguments such as the "suspending man" ...

Jaqueline Wendland, Psychopathology and Health Processes Laboratory, Paris Descartes University; Department of Child and Adolescent Psychiatry, Piti e-Salpêtri ere Hospital Julie Brisson and Melania Medeiros, Psychopathology and Health Processes Laboratory, Paris Descartes University Laurence Camon-S en echal, Elisabeth Aidane, and Mich ele David, Department of Child and Adolescent Psychiatry, ...

This article seeks to show that the role of experience in Descartes’ philosophy cannot be considered independently of his claims on pure intellectual knowledge. First, as a brief introduction, some passages of Descartes’ works, which highlight the importance of experimentation, will be reviewed. Then, the role of ‘common experience’ and sensation in Cartesian scientific explanation is shown. Fi...

A Descartes configuration is a set of four mutually tangent circles in the Riemann sphere, having disjoint interiors. Apollonian circle packings arise by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. Such packings can be described in terms of the Descartes configurations they contain. Part I shoewed there is a natural group action on Desc...

We give a new, elementary, purely analytical development of Descartes’ theorem that a smooth connected surface is a perfect focusing lens if and only if it is a connected subset of the ovoid obtained by revolving a cartesian oval around its axis of symmetry.

n t odern healthcare operates under the banner of “evidencebased” medicine. The pursuit of such evidence, however, is ot exclusively driven by need, but by the vailability of funds, which in turn deends partly on the likelihood of profit. ore portentously, the pursuit of data is ounded by the prevailing conceptions of iological plausibility. This essay makes he case that such borders are not re...

The first half of the 20th Century was filled with a stunning group of scientists, Einstein, Bohr, von Neumann and others. Alan Turing ranks near the top of this group. I am honored to write in this Centennial Volume commemorating his work. How much do we owe one mind? His was a pivotal role in cracking the Nazi war code that profoundly aided the defeat of Nazism. His invention of the Turing ma...

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