Matematikkens fundament

Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants :équations du second degré et du degré supérieurinégalités rationnelleséquations et inégalités irrationnelleséquations et inégalités avec le moduleDes conseils théoriques initiaux sont également présentés pour faire comprendre l'exécution des exercices

The idea of a knowledge base lies at the heart of symbolic or "good old-fashioned" artificial intelligence (GOFAI). A knowledge-based systemdecides how to act by running formal reasoning procedures over a body of explicitly represented knowledge, its knowledge base. The system isnot programmed for specific tasks; rather, it is told what it needs to know, and expected to infer the rest.This book is about the logic of such knowledge bases. It describes in detail the relationship between symbolic representations of knowledge and abstract states of knowledge, exploring along the way, the foundations of knowledge, knowledge bases, knowledge-based systems, and knowledge representation and reasoning. Assuming some familiarity with first-order predicate logic, the book offers a rigorous mathematical model of knowledge that is general and expressive, yet more workable in practice than previous models.The first edition of the book appeared in the year 2000, and since then its model of knowledge has been applied and extended in a number of ways.This second edition incorporates a number of new results about the logic of knowledge bases, including default reasoning, reasoning about actionand change, and tractable reasoning.Hector Levesque is Professor Emeritus in the Department of Computer Science, University of Toronto. Gerhard Lakemeyer is Professor and Chair of the Department of Computer Science, RWTH Aachen University, and Professor (status only) in the Department of Computer Science, University of Toronto.

This Festschrift is in honour of Professor Marie Düí, V¿B - Technical University of Ostrava. The 16 contributions, authored by 24 colleagues, runthe gamut from foundations in logic and theoretical computer science through philosophical logic, multi-agent systems and theory of communicationto personal recollections. Marie Düí is best known for her profound and extensive work on both the foundations and multiple applications of Transparent Intensional Logic, originally developed by Pavel Tichý in the late 1960s. Her work, whether single-authored or co-authored, has appeared in various high-level journals. In 2008 the Rector of her home university granted Marie the award Outstanding Results in the Development of Science and Research.The 2010 monograph Procedural Semantics for Hyperintensional Logic earned Marie and her coauthors the prestigious Award for OutstandingResults of Major Scientific Importance from the Academy of Sciences of the Czech Republic. The major achievements of Transparent IntensionalLogic that Marie has been involved in over the last decade have been compiled into the volume Transparent Intensional Logic: Selected RecentEssays, also published by College Publications.

This book constitutes the proceedings of the 25th International Symposium on Practical Aspects of Declarative Languages, PADL 2023, which was held in Boston, MA, USA, in January 2023.The 15 full papers and 4 short papers presented in this volume were carefully reviewed and selected from 36 submissions. The papers are organized in the following topical sections: Functional Programming; Logic Programming.

Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :logique mathématiquethéorie des ensemblesthéorie des fonctionscalcul littéralpropriétés des puissances et des radicauxcalcul des monômes et des polynômesChaque sujet est traité en mettant en évidence les applications pratiques et en résolvant quelques exercices significatifs.

En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:lógica matemáticateoría de conjuntosteoría de funcionescálculo literalpropiedades de potencias y radicalescalculo de monomios y polinomiosCada tema se trata destacando las aplicaciones prácticas y resolviendo algunos ejercicios significativos.

Model Validation and Uncertainty Quantification, Volume 3:  Proceedings of the 39th IMAC, A Conference and Exposition on Structural Dynamics, 2021, the third volume of nine from the Conference brings together contributions to this important area of research and engineering.  The collection presents early findings and case studies on fundamental and applied aspects of Model Validation and Uncertainty Quantification, including papers on:Inverse Problems and Uncertainty QuantificationControlling UncertaintyValidation of Models for Operating EnvironmentsModel Validation & Uncertainty Quantification: Decision MakingUncertainty Quantification in Structural DynamicsUncertainty in Early Stage DesignComputational and Uncertainty Quantification Tools