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Titre : A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations Type de document : texte imprimé Auteurs : Mi-Ho Giga, Auteur ; Yoshikazu Giga (1955-....), Auteur Editeur : Cham : Springer International Publishing Année de publication : 2023 Collection : Compact Textbooks in Mathematics, ISSN 2296-4568 Importance : 1 volume (vii-155 pages) Format : 24 cm ISBN/ISSN/EAN : 978-3-031-34795-5 Note générale : PPN 273067311 Langues : Anglais (eng) Tags : Équations différentielles Équations de Hamilton-Jacobi Solutions de viscosité Differential equations Hamilton-Jacobi equations Viscosity solutions Index. décimale : 515.35 Équations différentielles. Problème de Cauchy. Ordres et degrés. Problèmes aux limites (généralités). Théories de la bifurcation, de la perturbation, de la stabilité Résumé : This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader’s convenience, a list of basic terminology is given at the end of this book. (4e de couverture) Note de contenu : Bibliographie p. 149-152
Sommaire : 1 Uniqueness of solutions to initial value problems for ordinary differential equation - 2 Ordinary differential equations and transport equation - 3 Uniqueness of solutions to initial value problems for a scalar conversation law - 4 Hamilton-Jacobi equations - 5 Appendix: Basic terminologyA Basic Guide to Uniqueness Problems for Evolutionary Differential Equations [texte imprimé] / Mi-Ho Giga, Auteur ; Yoshikazu Giga (1955-....), Auteur . - Cham : Springer International Publishing, 2023 . - 1 volume (vii-155 pages) ; 24 cm. - (Compact Textbooks in Mathematics, ISSN 2296-4568) .
ISBN : 978-3-031-34795-5
PPN 273067311
Langues : Anglais (eng)
Tags : Équations différentielles Équations de Hamilton-Jacobi Solutions de viscosité Differential equations Hamilton-Jacobi equations Viscosity solutions Index. décimale : 515.35 Équations différentielles. Problème de Cauchy. Ordres et degrés. Problèmes aux limites (généralités). Théories de la bifurcation, de la perturbation, de la stabilité Résumé : This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as well as what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader’s convenience, a list of basic terminology is given at the end of this book. (4e de couverture) Note de contenu : Bibliographie p. 149-152
Sommaire : 1 Uniqueness of solutions to initial value problems for ordinary differential equation - 2 Ordinary differential equations and transport equation - 3 Uniqueness of solutions to initial value problems for a scalar conversation law - 4 Hamilton-Jacobi equations - 5 Appendix: Basic terminologyExemplaires
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Titre : Deep learning : foundations and concepts Type de document : texte imprimé Auteurs : Christopher M. Bishop (1959-....), Auteur ; Hugh Bishop, Auteur Editeur : Cham : Springer International Publishing Année de publication : 2024 Importance : 1 vol. (XX-649 p.) Présentation : ill. en noir et en coul. Format : 25 cm ISBN/ISSN/EAN : 978-3-031-45467-7 Note générale : PPN 276470680 Langues : Anglais (eng) Tags : Intelligence artificielle -- Manuels d'enseignement supérieur Apprentissage profond -- Manuels d'enseignement supérieur Artificial intelligence -- Textbooks Machine learning -- Textbooks
Artificial intelligence -- Data processing -- TextbooksIndex. décimale : 006.31 Apprentissage automatique (informatique) Résumé : "This book offers a comprehensive introduction to the central ideas that underpin deep learning. It is intended both for newcomers to machine learning and for those already experienced in the field. Covering key concepts relating to contemporary architectures and techniques, this essential book equips readers with a robust foundation for potential future specialization. The field of deep learning is undergoing rapid evolution, and therefore this book focusses on ideas that are likely to endure the test of time. The book is organized into numerous bite-sized chapters, each exploring a distinct topic, and the narrative follows a linear progression, with each chapter building upon content from its predecessors. This structure is well-suited to teaching a two-semester undergraduate or postgraduate machine learning course, while remaining equally relevant to those engaged in active research or in self-study. A full understanding of machine learning requires some mathematical background and so the book includes a self-contained introduction to probability theory. However, the focus of the book is on conveying a clear understanding of ideas, with emphasis on the real-world practical value of techniques rather than on abstract theory. Complex concepts are therefore presented from multiple complementary perspectives including textual descriptions, diagrams, mathematical formulae, and pseudo-code." (4e de couverture) Note de contenu : Contient des exercices
Bibliographie p. 625-640. Index
Sommaire : 1. The deep learning revolution -2. Probabilities -3. Standard distributions -4. Single-layer networks: regression -5. Single-layer networks: classification -6. Deep neural networks -7. Gradient descent -8. Backpropagation -9. Regularization -10. Convolutional networks -11. Structured distributions -12. Transformers -13. Graph neural networks -14. Sampling -15. Discrete latent variables -16. Continuous latent variables -17. Generative adversarial networks -18. Normalizing flows -19. Autoencoders -20. Diffusion models - Appendix A. Linear algebra - Appendix B. Calculus of variations - Appendix C. Lagrange multipliers -Deep learning : foundations and concepts [texte imprimé] / Christopher M. Bishop (1959-....), Auteur ; Hugh Bishop, Auteur . - Cham : Springer International Publishing, 2024 . - 1 vol. (XX-649 p.) : ill. en noir et en coul. ; 25 cm.
ISBN : 978-3-031-45467-7
PPN 276470680
Langues : Anglais (eng)
Tags : Intelligence artificielle -- Manuels d'enseignement supérieur Apprentissage profond -- Manuels d'enseignement supérieur Artificial intelligence -- Textbooks Machine learning -- Textbooks
Artificial intelligence -- Data processing -- TextbooksIndex. décimale : 006.31 Apprentissage automatique (informatique) Résumé : "This book offers a comprehensive introduction to the central ideas that underpin deep learning. It is intended both for newcomers to machine learning and for those already experienced in the field. Covering key concepts relating to contemporary architectures and techniques, this essential book equips readers with a robust foundation for potential future specialization. The field of deep learning is undergoing rapid evolution, and therefore this book focusses on ideas that are likely to endure the test of time. The book is organized into numerous bite-sized chapters, each exploring a distinct topic, and the narrative follows a linear progression, with each chapter building upon content from its predecessors. This structure is well-suited to teaching a two-semester undergraduate or postgraduate machine learning course, while remaining equally relevant to those engaged in active research or in self-study. A full understanding of machine learning requires some mathematical background and so the book includes a self-contained introduction to probability theory. However, the focus of the book is on conveying a clear understanding of ideas, with emphasis on the real-world practical value of techniques rather than on abstract theory. Complex concepts are therefore presented from multiple complementary perspectives including textual descriptions, diagrams, mathematical formulae, and pseudo-code." (4e de couverture) Note de contenu : Contient des exercices
Bibliographie p. 625-640. Index
Sommaire : 1. The deep learning revolution -2. Probabilities -3. Standard distributions -4. Single-layer networks: regression -5. Single-layer networks: classification -6. Deep neural networks -7. Gradient descent -8. Backpropagation -9. Regularization -10. Convolutional networks -11. Structured distributions -12. Transformers -13. Graph neural networks -14. Sampling -15. Discrete latent variables -16. Continuous latent variables -17. Generative adversarial networks -18. Normalizing flows -19. Autoencoders -20. Diffusion models - Appendix A. Linear algebra - Appendix B. Calculus of variations - Appendix C. Lagrange multipliers -Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-010919 010919 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Salle de lecture-Ouvrages Sorti jusqu'au 04/02/2026
Titre : Digital signal processing with field programmable gate arrays [4th ed.] Type de document : document multimédia Auteurs : Uwe Meyer-Baese, Auteur Mention d'édition : Fourth edition Editeur : Cham : Springer International Publishing Année de publication : 2014 Collection : Signals and Communication Technology, ISSN 1860-4862 Importance : 1 vol. (XXIII, 930 p.) Présentation : 459 ill., 11 ill. en coul. Format : 24 cm Accompagnement : 1 CD-ROM ISBN/ISSN/EAN : 978-3-642-45308-3 Note générale : Contient : 1. Introduction. - 2. Computer Arithmetic. - 3. Finite Impulse Response (FIR) Digital Filters. - 4.Infinite Impulse Response (IIR) Digital Filters. - 5. Multirate Signal Processing. - 6. Fourier Transforms. - 7. Communication systems. - 8. Adaptive systems. - 9. Microprocessor Design. - 10. Image and video processing . - Appendix A à E. - References. - Index.
PPN 191853550Langues : Anglais (eng) Tags : Traitement du signal -- Techniques numériques Réseaux logiques programmables par l'utilisateur Fourier, Transformations de Filtrage du signal Filtres numériques (électricité) Ingénierie Signal processing -- Digital techniques Field programmable gate arrays Fourier transformations Electric filters, Digital Engineering Index. décimale : 621.382 2 Théorie de l'information. Traitement du signal Note de contenu : Glossaire p. 895-902. - Bibliogr. p. 903-922. - Index p. 923-930. Digital signal processing with field programmable gate arrays [4th ed.] [document multimédia] / Uwe Meyer-Baese, Auteur . - Fourth edition . - Cham : Springer International Publishing, 2014 . - 1 vol. (XXIII, 930 p.) : 459 ill., 11 ill. en coul. ; 24 cm + 1 CD-ROM. - (Signals and Communication Technology, ISSN 1860-4862) .
ISBN : 978-3-642-45308-3
Contient : 1. Introduction. - 2. Computer Arithmetic. - 3. Finite Impulse Response (FIR) Digital Filters. - 4.Infinite Impulse Response (IIR) Digital Filters. - 5. Multirate Signal Processing. - 6. Fourier Transforms. - 7. Communication systems. - 8. Adaptive systems. - 9. Microprocessor Design. - 10. Image and video processing . - Appendix A à E. - References. - Index.
PPN 191853550
Langues : Anglais (eng)
Tags : Traitement du signal -- Techniques numériques Réseaux logiques programmables par l'utilisateur Fourier, Transformations de Filtrage du signal Filtres numériques (électricité) Ingénierie Signal processing -- Digital techniques Field programmable gate arrays Fourier transformations Electric filters, Digital Engineering Index. décimale : 621.382 2 Théorie de l'information. Traitement du signal Note de contenu : Glossaire p. 895-902. - Bibliogr. p. 903-922. - Index p. 923-930. Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-009517 009517 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Salle de lecture-Ouvrages Disponible
Titre : Geology of Afar (East Africa) Type de document : texte imprimé Auteurs : Jacques Varet, Auteur Editeur : Cham : Springer International Publishing Année de publication : cop. 2018 Collection : Regional Geology Reviews Importance : 1 vol. (XVIII-336 p.) Présentation : ill. en coul., couv. ill. en coul., diagr., cartes Format : 28 cm ISBN/ISSN/EAN : 978-3-319-60863-1 Note générale : PPN 225307618 Langues : Anglais (eng) Tags : Géologie historique -- Afar, Dépression de l' Géologie économique -- Afar, Dépression de l' Géomorphologie structurale -- Afar, Dépression de l' Historical geology -- Afar kelel (Ethiopia) Geology, economic -- Afar kelel (Ethiopia) Geology, Structural -- Afar kelel (Ethiopia) Index. décimale : 556.3 Sciences de la terre - Ethiopie et Erythrée Note de contenu : Bibliogr. en fin de chapitre Geology of Afar (East Africa) [texte imprimé] / Jacques Varet, Auteur . - Cham : Springer International Publishing, cop. 2018 . - 1 vol. (XVIII-336 p.) : ill. en coul., couv. ill. en coul., diagr., cartes ; 28 cm. - (Regional Geology Reviews) .
ISBN : 978-3-319-60863-1
PPN 225307618
Langues : Anglais (eng)
Tags : Géologie historique -- Afar, Dépression de l' Géologie économique -- Afar, Dépression de l' Géomorphologie structurale -- Afar, Dépression de l' Historical geology -- Afar kelel (Ethiopia) Geology, economic -- Afar kelel (Ethiopia) Geology, Structural -- Afar kelel (Ethiopia) Index. décimale : 556.3 Sciences de la terre - Ethiopie et Erythrée Note de contenu : Bibliogr. en fin de chapitre Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-005835 VAR-02 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible
Titre : Geosciences and the Sustainable Development Goals Type de document : texte imprimé Auteurs : Joel C. Gill, Editeur scientifique ; Martin Smith, Editeur scientifique Editeur : Cham : Springer International Publishing Année de publication : 2021, cop. 2021 Collection : Sustainable development Goals series, ISSN 2523-3084 Importance : 1 vol. (xxiv-474 p.) Présentation : ill.en coul., diagr., phot., cartes Format : 26 cm ISBN/ISSN/EAN : 978-3-030-38815-7 Note générale : PPN 25845301X Langues : Anglais (eng) Tags : Sciences de la Terre Développement durable Environnement Géographie physique Earth sciences Sustainable Development Ecology Physical Geography Index. décimale : 577 Ecologie Résumé : Meeting the targets of the UN Sustainable Development Goals (SDGs) requires contributions by scientists focusing on understanding, monitoring, protecting, managing and restoring the natural environment, including geoscientists. This book presents the first detailed discussion on the role of the geological sciences (geosciences) community in the implementation of the SDGs. Unlike traditional geosciences textbooks, it is structured according to development priorities, framed in the context of the 17 SDGs. Written by international experts from diverse range of geosciences / development disciplines, it explores themes linked to both science and the professional practice of science (e.g., ethics, equity, conduct, and partnerships). The book is intended for graduate and senior undergraduate students in the earth sciences, as well as practicing geologists and experts from other sectors involved in sustainability initiatives.(4ème de couverture) Note de contenu : Sommaire : Preface. - Introduction. - Contents. - 1. End Poverty in All Its Forms Everywhere. - 2. Zero Hunger. - 3. Ensure Healthy Lives and Promote Well-Being. - 4. Quality Education. - 5. Achieve Gender Equality and Empower All Women. - 6. Clean Water and Sanitation. - 7. Affordable and Clean Energy. - 8. Decent Work and Economic Growth. - 9. Infrastructure, Industry and Innovation. - 10. Reduce Inequality Within and Amongst Countries. - 11. Sustainable Cities and Communities. - 12. Ensure Sustainable Consumption and Production Patterns. - 13. Climate Action. - 14. Conserve and Sustainably Use the Oceans, Seas, and Marine Resources. - 15. Life on Land. - 16. Peace, Justice and Strong institutions. - 17. Partnerships for the Goals. - 18. Reshaping Geoscience to Help Deliver the Sustainable Development Goals. -- Références bibliographiques en fin de chapitre. Index p. 469-474 Geosciences and the Sustainable Development Goals [texte imprimé] / Joel C. Gill, Editeur scientifique ; Martin Smith, Editeur scientifique . - Cham : Springer International Publishing, 2021, cop. 2021 . - 1 vol. (xxiv-474 p.) : ill.en coul., diagr., phot., cartes ; 26 cm. - (Sustainable development Goals series, ISSN 2523-3084) .
ISBN : 978-3-030-38815-7
PPN 25845301X
Langues : Anglais (eng)
Tags : Sciences de la Terre Développement durable Environnement Géographie physique Earth sciences Sustainable Development Ecology Physical Geography Index. décimale : 577 Ecologie Résumé : Meeting the targets of the UN Sustainable Development Goals (SDGs) requires contributions by scientists focusing on understanding, monitoring, protecting, managing and restoring the natural environment, including geoscientists. This book presents the first detailed discussion on the role of the geological sciences (geosciences) community in the implementation of the SDGs. Unlike traditional geosciences textbooks, it is structured according to development priorities, framed in the context of the 17 SDGs. Written by international experts from diverse range of geosciences / development disciplines, it explores themes linked to both science and the professional practice of science (e.g., ethics, equity, conduct, and partnerships). The book is intended for graduate and senior undergraduate students in the earth sciences, as well as practicing geologists and experts from other sectors involved in sustainability initiatives.(4ème de couverture) Note de contenu : Sommaire : Preface. - Introduction. - Contents. - 1. End Poverty in All Its Forms Everywhere. - 2. Zero Hunger. - 3. Ensure Healthy Lives and Promote Well-Being. - 4. Quality Education. - 5. Achieve Gender Equality and Empower All Women. - 6. Clean Water and Sanitation. - 7. Affordable and Clean Energy. - 8. Decent Work and Economic Growth. - 9. Infrastructure, Industry and Innovation. - 10. Reduce Inequality Within and Amongst Countries. - 11. Sustainable Cities and Communities. - 12. Ensure Sustainable Consumption and Production Patterns. - 13. Climate Action. - 14. Conserve and Sustainably Use the Oceans, Seas, and Marine Resources. - 15. Life on Land. - 16. Peace, Justice and Strong institutions. - 17. Partnerships for the Goals. - 18. Reshaping Geoscience to Help Deliver the Sustainable Development Goals. -- Références bibliographiques en fin de chapitre. Index p. 469-474 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-006556 GIL-09 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A213-Ouvrages Disponible PermalinkPermalinkPermalinkPermalinkPermalinkPermalinkPermalinkPermalinkPermalink
