Introduction Générale / General Introduction

Jean-charles Faugère Chapitre 1 Introduction Générale

We present an efficient algorithm for the transformation of a Gröbner basis of a zero–dimensional ideal with respect to any given ordering into a Gröbner basis with respect to any other ordering. This algorithm is polynomial in the degree of the ideal. In particular the lexicographical Gröbner basis can be obtained by applying this algorithm after a total degree Gröbner basis computation: it is...

Résumé Des Chapitres Chapitre 1. Introduction Générale

Semantic peer-to-peer systems are fully decentralized overlay networks of people or machines (peers) sharing and searching varied resources (documents, videos, photos) based on their semantic annotations using ontologies. In such systems, no user imposes to others his ontology but logical mappings between ontologies make possible the creation of a network of people in which personalized semanti...

1 General Introduction

Parts of this introduction (see footnotes) have previously been published in Trends in Neu‑ rosciences (Meredith et al., 2012). The introductions of chapter 3 and 6 are based on the following text.

1 1 General introduction

Chapter General introduction Marjon