Rapports de stage : les meilleurs exemples - Page 95

ASYMPTOTIC HIGH ORDER MASS PRESERVING SCHEMES FOR A HYPERBOLIC MODEL OF CHEMOTAXIS - Roberto Natalini

ASYMPTOTIC HIGH ORDER MASS PRESERVING SCHEMES FOR A HYPERBOLIC MODEL OF CHEMOTAXIS

Roberto Natalini

1Long term Investors Club Cassa Depositi e Prestiti Roma 17th June - G4_4

1Long term Investors Club Cassa Depositi e Prestiti Roma 17th June

The evolution of the international financial system - Jacques De Larosière

The evolution of the international financial system

Jacques De Larosière

Financial sector development in transition economies of the next decades -

Financial sector development in transition economies of the next decades

Les mécanismes fondamentaux de l évolution sociale selon Max Weber et Durkheim - Charau@Charau-8gzyirni

Les mécanismes fondamentaux de l'évolution sociale selon Max Weber et Durkheim

Charau@Charau-8gzyirni

On the Relevance of Negative Results1 Giuseppe Longo CNRS et Dépt d Informatique École Normale Supérieure Paris et CREA École Polytechnique http: www di ens fr users longo Abstract The access to scientific knowledge is a construction of objectivity which needs the critical insight of “negative results” These consist in the explicit construction of internal limits to current theories and methods We shall hint to the role of some results which in Logic in Physics or Computing opened up new areas for knowledge by saying “No we cannot compute this we cannot decide that The idea is that both the sciences of life and of cognition in particular in connection to Mathematics and Computing need similar results in order to set limits to the passive transfer of physico mathematical methods into their autonomous construction of knowledge and open the way to new tools and perspectives We will compare this perspective with the requirement both at the national and European levels to finalize most all research activities into foreseeable industrial applications Scientific knowledge and critical insight The analysis of concepts conducted on a comparative level if possible as well as the tentative explanation of the philosophical project should always accompany scientific work In fact critical reflections regarding existing theories are at the core of positive scientific constructions because science is often constructed against the supposed tyranny and autonomy of “facts” which in reality are nothing but “small scale theories” Science is also often constructed by means of an audacious interpretation of “new” and old facts it progresses against the obvious and against common sense le “bon sens” it struggles against the illusions of immediate knowledge and must be capable of escaping from already established theoretical frameworks For example the very high level of mathematical technicity in the geometry of Ptolemaic epicycles constructed from clearly observable facts strongly perplexed numerous Renaissance thinkers such as ... - Giuseppe Longo

On the Relevance of Negative Results1 Giuseppe Longo CNRS et Dépt d'Informatique École Normale Supérieure Paris et CREA École Polytechnique http: www di ens fr users longo Abstract The access to scientific knowledge is a construction of objectivity which needs the critical insight of “negative results” These consist in the explicit construction of internal limits to current theories and methods We shall hint to the role of some results which in Logic in Physics or Computing opened up new areas for knowledge by saying “No we cannot compute this we cannot decide that The idea is that both the sciences of life and of cognition in particular in connection to Mathematics and Computing need similar results in order to set limits to the passive transfer of physico mathematical methods into their autonomous construction of knowledge and open the way to new tools and perspectives We will compare this perspective with the requirement both at the national and European levels to finalize most all research activities into foreseeable industrial applications Scientific knowledge and critical insight The analysis of concepts conducted on a comparative level if possible as well as the tentative explanation of the philosophical project should always accompany scientific work In fact critical reflections regarding existing theories are at the core of positive scientific constructions because science is often constructed against the supposed tyranny and autonomy of “facts” which in reality are nothing but “small scale theories” Science is also often constructed by means of an audacious interpretation of “new” and old facts it progresses against the obvious and against common sense le “bon sens” it struggles against the illusions of immediate knowledge and must be capable of escaping from already established theoretical frameworks For example the very high level of mathematical technicity in the geometry of Ptolemaic epicycles constructed from clearly observable facts strongly perplexed numerous Renaissance thinkers such as ...

Some Topologies for Computations - Giuseppe Longo

Some Topologies for Computations

THEOREMS AS CONSTRUCTIVE VISIONS1 Giuseppe Longo CNRS Ecole Normale Supérieure et CREA Ecole Polytechnique Rue D Ulm Paris France http: www di ens fr users longo Abstract This paper briefly reviews some epistemological perspectives on the foundation of mathematical concepts and proofs It provides examples of axioms and proofs from Euclid to recent “concrete incompleteness” theorems In reference to basic cognitive phenomena the paper focuses on order and symmetries as core “construction principles” for mathematical knowledge A distinction is then made between these principles and the “proof principles” of modern Mathemaical Logic The role of the blend of these different forms of founding principles will be stressed both for the purposes of proving and of understanding and communicating the proof THE CONSTRUCTIVE CONTENT OF EUCLID S AXIOMS From the time of Euclid to the age of super computers Western mathematicians have continually tried to develop and refine the foundations of proof and proving Many of these attempts have been based on analyses logically and historically linked to the prevailing philosophical notions of the day However they have all exhibited more or less explcitly some basic cognitive principles for example the notions of symmetry and order Here I trace some of the major steps in the evolution of notion of proof linking them to these cognitive basics For this purpose let s take as a starting point Euclid s Aithemata Requests the minimal constructions required to do geometry: Invited lecture ICMI conference on Proof and Proving Taipei Taiwan May Hanna de Villiers eds Springer - Giuseppe Longo

THEOREMS AS CONSTRUCTIVE VISIONS1 Giuseppe Longo CNRS Ecole Normale Supérieure et CREA Ecole Polytechnique Rue D'Ulm Paris France http: www di ens fr users longo Abstract This paper briefly reviews some epistemological perspectives on the foundation of mathematical concepts and proofs It provides examples of axioms and proofs from Euclid to recent “concrete incompleteness” theorems In reference to basic cognitive phenomena the paper focuses on order and symmetries as core “construction principles” for mathematical knowledge A distinction is then made between these principles and the “proof principles” of modern Mathemaical Logic The role of the blend of these different forms of founding principles will be stressed both for the purposes of proving and of understanding and communicating the proof THE CONSTRUCTIVE CONTENT OF EUCLID'S AXIOMS From the time of Euclid to the age of super computers Western mathematicians have continually tried to develop and refine the foundations of proof and proving Many of these attempts have been based on analyses logically and historically linked to the prevailing philosophical notions of the day However they have all exhibited more or less explcitly some basic cognitive principles for example the notions of symmetry and order Here I trace some of the major steps in the evolution of notion of proof linking them to these cognitive basics For this purpose let's take as a starting point Euclid's Aithemata Requests the minimal constructions required to do geometry: Invited lecture ICMI conference on Proof and Proving Taipei Taiwan May Hanna de Villiers eds Springer

Discriminative Actions for Recognising Events -

Discriminative Actions for Recognising Events

Digital Algebra and Circuits - Jean Vuillemin

Digital Algebra and Circuits

BASIC CONCEPTS OF ABSTRACT INTERPRETATION - Patrick Cousot

BASIC CONCEPTS OF ABSTRACT INTERPRETATION

PA IFIC :lTii ffi HEMATI S -

PA IFIC' :lTii ''ffi HEMATI S

1Compositional Separate Modular Static Analysis of Programs by Abstract Interpretation Patrick Cousot - Patrick Cousot

1Compositional Separate Modular Static Analysis of Programs by Abstract Interpretation Patrick Cousot

The Arithmetic Geometric Progression Abstract Domain - Jérôme Feret

The Arithmetic Geometric Progression Abstract Domain

Formal reduction for rule based models - Ferdinanda Camporesi1

Formal reduction for rule based models

Ferdinanda Camporesi1

Automatic reduction of stochastic rules based models in a nutshell - Ferdinanda Camporesi

Automatic reduction of stochastic rules based models in a nutshell

Ferdinanda Camporesi

Message Freedom in MD4 and MD5 Collisions: Application to APOP - Gaëtan Leurent

Message Freedom in MD4 and MD5 Collisions: Application to APOP

Gaëtan Leurent

Marıa Naya Plasencia1 Andrea Rock2 Jean Philippe Aumasson3 Yann Laigle Chapuy1 Gaetan Leurent4 Willi Meier5 - Andrea Rock2

Marıa Naya Plasencia1 Andrea Rock2 Jean Philippe Aumasson3 Yann Laigle Chapuy1 Gaetan Leurent4 Willi Meier5

Coordination in Network Security Games Marc Lelarge INRIA ENS Paris France - Marc Lelarge

Coordination in Network Security Games Marc Lelarge INRIA ENS Paris France

The Verification Grand Challenge and Abstract Interpretation - Patrick Cousot1

The Verification Grand Challenge and Abstract Interpretation

Patrick Cousot1

1Abstract Interpretation Based Program Testing Patrick Cousot - Patrick Cousot

1Abstract Interpretation Based Program Testing Patrick Cousot

The Role of Abstract Interpretation in Formal Methods - Patrick Cousot

The Role of Abstract Interpretation in Formal Methods

Abstract Interpretation Based Formal Methods and Future Challenges Electronic Version - Patrick Cousot

Abstract Interpretation Based Formal Methods and Future Challenges Electronic Version

Abstract Interpretation Based Formal Methods and Future Challenges - Patrick Cousot

Abstract Interpretation Based Formal Methods and Future Challenges

1Constructive Design of a Hierarchy of Semantics of a Transition System by Abstract Interpretation - Patrick Cousota

1Constructive Design of a Hierarchy of Semantics of a Transition System by Abstract Interpretation

Patrick Cousota

Errata and corrections in my thesis - Emmanuel Bresson

Errata and corrections in my thesis

Emmanuel Bresson

An extended abstract of this work appeared in - E. Bresson And M. Manulis

An extended abstract of this work appeared in

E. Bresson And M. Manulis

ECRYPT Hash Workshop May Barcelona Spain V Rijmen chair Workshop Proceedings pages - Emmanuel Bresson3

ECRYPT Hash Workshop May Barcelona Spain V Rijmen chair Workshop Proceedings pages

Emmanuel Bresson3

Automorphic Signatures in Bilinear Groups and an Application to Round Optimal Blind Signatures - Georg Fuchsbauer

Automorphic Signatures in Bilinear Groups and an Application to Round Optimal Blind Signatures

Georg Fuchsbauer

MULTISCALE SPARSE IMAGE REPRESENTATIONWITH LEARNED DICTIONARIES -

MULTISCALE SPARSE IMAGE REPRESENTATIONWITH LEARNED DICTIONARIES

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