Quelques vues de Leibniz en relation avec la durée de la vie humaine

Leibniz showed up high mathematical virtuosity in treating the longevity of various people groups, endowed each with a fictitious mortality law. He then gave up strictly demographic considerations to make clever financial procedures regarding life annuities.Leibniz a fait choix d'une loi de mortalité irréelle à partir de laquelle il nous montre l'étendue de sa virtuosité combinatoire en s'intéressant notamment à la longévité de diverses associations de personnes. Abandonnant les considérations strictement démographiques, il se livre ensuite à d'ingénieux calculs financiers concernant un système de rentes viagères

Ubicación de los fenómenos demográficos en el tiempo

Traducción de un capítulo de L'analyse démographique, Presses Universitaires, Paris, 196

Growth equations: A general equation and a survey of special cases

Although growth in its various manifestations has been studied for centuries and although there are a large number of well-established growth "laws," that work is almost entirely empirical and lacks a theoretical foundation with which macroscopic aspects of growth might be related to underlying, microscopic determinants. Recent work on the analysis of complex systems, however, has provided just such a foundation. It has been shown that an important class of complex systems can be accurately described by a formalism involving simple nonlinear approximations. This formalism leads naturally to a general growth equation in differential form for complex systems. The survey of well-established growth equations presented here demonstrates that each of these is a special case of the general growth equation.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/23278/1/0000215.pd