Displaying similar documents to “A glimpse into the Poincaré archives”

Poincaré’s early use of Analysis situs in nonlinear differential equation : variations around the theme of Kronecker’s integral

Jean Mawhin (2000)

Philosophia Scientiae

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We analyze the chronological and conceptual evolution of the early use by Poincaré of tools, and in particular of in his qualitative theory of nonlinear differential equations. We show in this way that prior to his famous series of subsequent papers on Poincaré had already obtained or anticipated many important topological results.

Des fondements vers l’avant. Sur la rationalité des mathématiques et des sciences formalisées

Michel Paty (2005)

Philosophia Scientiae

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. — The failure of logicism for the question of foundations of mathematics invites us to consider this question under an point of view, in terms of and not only of , and to extend it from mathematics to formalized sciences bearing on nature, such as physics, and even to scientific thought in general. One must take into account, in all cases, changes which correspond to conceptual constructions : they secure at the same time, afterwards, the well-foundedness of the theories...

The periodic Vehicle routing problem: classification and heuristic

M. Mourgaya, F. Vanderbeck (2006)

RAIRO - Operations Research

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The Periodic Vehicle Routing Problem (PVRP) consists in assigning customer visits to vehicle routes in some periods of a time horizon so as to satisfy some service level requirements that can take the form of frequency of visit, constraint on time lag between visits, or pre-defined visit patterns. We present different variants of this problem and propose a classification. Then, we consider a model for tactical planning for which we propose a heuristic: we optimise the planning...

Préface

Ahmed Zeriahi (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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Introduction

Françoise Delon (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

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La différentiation automatique et son utilisation en optimisation

Jean-Pierre Dussault (2008)

RAIRO - Operations Research

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In this work, we present an introduction to automatic differentiation, its use in optimization software, and some new potential usages. We focus on the potential of this technique in optimization. We do not dive deeply in the intricacies of automatic differentiation, but put forward its key ideas. We sketch a survey, as of today, of automatic differentiation software, but warn the reader that the situation with respect to software evolves rapidly. In the last part of the paper, we present...