Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229494
Category : Mathematics
Languages : en
Pages :
Book Description
This is the second of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.
Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 2, 3-Multi-graphs and 2-Multi-tournaments
Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229494
Category : Mathematics
Languages : en
Pages :
Book Description
This is the second of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.
Publisher: Cambridge University Press
ISBN: 1009229494
Category : Mathematics
Languages : en
Pages :
Book Description
This is the second of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.
Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs
Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229702
Category : Mathematics
Languages : en
Pages :
Book Description
This is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. In this volume, Cherlin develops a complete classification of homogeneous ordered graphs and provides a full proof. He then proposes a new family of metrically homogeneous graphs, a weakening of the usual homogeneity condition. A general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. It also includes introductory chapters giving an overview of the results and methods of both volumes, and an appendix surveying recent developments in the area. An extensive accompanying bibliography of related literature, organized by topic, is available online.
Publisher: Cambridge University Press
ISBN: 1009229702
Category : Mathematics
Languages : en
Pages :
Book Description
This is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. In this volume, Cherlin develops a complete classification of homogeneous ordered graphs and provides a full proof. He then proposes a new family of metrically homogeneous graphs, a weakening of the usual homogeneity condition. A general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. It also includes introductory chapters giving an overview of the results and methods of both volumes, and an appendix surveying recent developments in the area. An extensive accompanying bibliography of related literature, organized by topic, is available online.
Analytic Combinatorics
Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825
Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825
Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Trends in Computational Social Choice
Author: Ulle Endriss
Publisher: Lulu.com
ISBN: 1326912097
Category : Computers
Languages : en
Pages : 424
Book Description
Computational social choice is concerned with the design and analysis of methods for collective decision making. It is a research area that is located at the interface of computer science and economics. The central question studied in computational social choice is that of how best to aggregate the individual points of view of several agents, so as to arrive at a reasonable compromise. Examples include tallying the votes cast in an election, aggregating the professional opinions of several experts, and finding a fair manner of dividing a set of resources amongst the members of a group -- Back cover.
Publisher: Lulu.com
ISBN: 1326912097
Category : Computers
Languages : en
Pages : 424
Book Description
Computational social choice is concerned with the design and analysis of methods for collective decision making. It is a research area that is located at the interface of computer science and economics. The central question studied in computational social choice is that of how best to aggregate the individual points of view of several agents, so as to arrive at a reasonable compromise. Examples include tallying the votes cast in an election, aggregating the professional opinions of several experts, and finding a fair manner of dividing a set of resources amongst the members of a group -- Back cover.
Deep Learning Techniques for Music Generation
Author: Jean-Pierre Briot
Publisher: Springer
ISBN: 3319701630
Category : Computers
Languages : en
Pages : 303
Book Description
This book is a survey and analysis of how deep learning can be used to generate musical content. The authors offer a comprehensive presentation of the foundations of deep learning techniques for music generation. They also develop a conceptual framework used to classify and analyze various types of architecture, encoding models, generation strategies, and ways to control the generation. The five dimensions of this framework are: objective (the kind of musical content to be generated, e.g., melody, accompaniment); representation (the musical elements to be considered and how to encode them, e.g., chord, silence, piano roll, one-hot encoding); architecture (the structure organizing neurons, their connexions, and the flow of their activations, e.g., feedforward, recurrent, variational autoencoder); challenge (the desired properties and issues, e.g., variability, incrementality, adaptability); and strategy (the way to model and control the process of generation, e.g., single-step feedforward, iterative feedforward, decoder feedforward, sampling). To illustrate the possible design decisions and to allow comparison and correlation analysis they analyze and classify more than 40 systems, and they discuss important open challenges such as interactivity, originality, and structure. The authors have extensive knowledge and experience in all related research, technical, performance, and business aspects. The book is suitable for students, practitioners, and researchers in the artificial intelligence, machine learning, and music creation domains. The reader does not require any prior knowledge about artificial neural networks, deep learning, or computer music. The text is fully supported with a comprehensive table of acronyms, bibliography, glossary, and index, and supplementary material is available from the authors' website.
Publisher: Springer
ISBN: 3319701630
Category : Computers
Languages : en
Pages : 303
Book Description
This book is a survey and analysis of how deep learning can be used to generate musical content. The authors offer a comprehensive presentation of the foundations of deep learning techniques for music generation. They also develop a conceptual framework used to classify and analyze various types of architecture, encoding models, generation strategies, and ways to control the generation. The five dimensions of this framework are: objective (the kind of musical content to be generated, e.g., melody, accompaniment); representation (the musical elements to be considered and how to encode them, e.g., chord, silence, piano roll, one-hot encoding); architecture (the structure organizing neurons, their connexions, and the flow of their activations, e.g., feedforward, recurrent, variational autoencoder); challenge (the desired properties and issues, e.g., variability, incrementality, adaptability); and strategy (the way to model and control the process of generation, e.g., single-step feedforward, iterative feedforward, decoder feedforward, sampling). To illustrate the possible design decisions and to allow comparison and correlation analysis they analyze and classify more than 40 systems, and they discuss important open challenges such as interactivity, originality, and structure. The authors have extensive knowledge and experience in all related research, technical, performance, and business aspects. The book is suitable for students, practitioners, and researchers in the artificial intelligence, machine learning, and music creation domains. The reader does not require any prior knowledge about artificial neural networks, deep learning, or computer music. The text is fully supported with a comprehensive table of acronyms, bibliography, glossary, and index, and supplementary material is available from the authors' website.
Export and Import Price Index Manual: Theory and Practice
Author: OECD
Publisher: OECD Publishing
ISBN: 9264085416
Category :
Languages : en
Pages : 705
Book Description
A joint production by six international organizations, this manual explores the conceptual and theoretical issues that national statistical offices should consider in the daily compilation of export and import price indices. Intended for use by both ...
Publisher: OECD Publishing
ISBN: 9264085416
Category :
Languages : en
Pages : 705
Book Description
A joint production by six international organizations, this manual explores the conceptual and theoretical issues that national statistical offices should consider in the daily compilation of export and import price indices. Intended for use by both ...
Handbook on Modelling for Discrete Optimization
Author: Gautam M. Appa
Publisher: Springer Science & Business Media
ISBN: 0387329420
Category : Mathematics
Languages : en
Pages : 443
Book Description
This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.
Publisher: Springer Science & Business Media
ISBN: 0387329420
Category : Mathematics
Languages : en
Pages : 443
Book Description
This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.
Wine, Society, and Globalization
Author: G. Campbell
Publisher: Springer
ISBN: 0230609902
Category : Business & Economics
Languages : en
Pages : 281
Book Description
This collection of essays comprises a number of case studies from key wine-growing regions and countries around the world. Contributors focus on the development of the wine business and its overall importance and impact in terms of the regional and domestic economy and the international economy
Publisher: Springer
ISBN: 0230609902
Category : Business & Economics
Languages : en
Pages : 281
Book Description
This collection of essays comprises a number of case studies from key wine-growing regions and countries around the world. Contributors focus on the development of the wine business and its overall importance and impact in terms of the regional and domestic economy and the international economy
Biomechanics of Skeletal Muscles
Author: Vladimir M. Zatsiorsky
Publisher: Human Kinetics
ISBN: 1492582107
Category : Science
Languages : en
Pages : 543
Book Description
Richly illustrated and presented in clear, concise language, Biomechanics of Skeletal Muscles is an essential resource for those seeking advanced knowledge of muscle biomechanics. Written by leading experts Vladimir Zatsiorsky and Boris Prilutsky, the text is one of the few to look at muscle biomechanics in its entirety—from muscle fibers to muscle coordination—making it a unique contribution to the field. Using a blend of experimental evidence and mechanical models, Biomechanics of Skeletal Muscles provides an explanation of whole muscle biomechanics at work in the body in motion. The book first addresses the mechanical behavior of single muscles—from the sarcomere level up to the entire muscle. The architecture of human muscle, the mechanical properties of tendons and passive muscles, the biomechanics of active muscles, and the force transmission and shock absorption aspects of muscle are explored in detail. Next, the various issues of muscle functioning during human motion are addressed. The transformation from muscle force to joint movements, two-joint muscle function, eccentric muscle action, and muscle coordination are analyzed. This advanced text assumes some knowledge of algebra and calculus; however, the emphasis is on understanding physical concepts. Higher-level computational descriptions are placed in special sections in the later chapters of the book, allowing those with a strong mathematical background to explore this material in more detail. Readers who choose to skip over these sections will find that the book still provides a strong conceptual understanding of advanced topics. Biomechanics of Skeletal Muscles also contains numerous special features that facilitate readers’ comprehension of the topics presented. More than 300 illustrations and accompanying explanations provide an extensive visual representation of muscle biomechanics. Refresher sidebars offer brief reminders of mathematical and biomechanical concepts, and From the Literature sidebars present practical examples that illustrate the concepts under discussion. Chapter summaries and review questions provide an opportunity for reflection and self-testing, and reference lists at the end of each chapter provide a starting point for further study. Biomechanics of Skeletal Muscles offers a thorough explanation of whole muscle biomechanics, bridging the gap between foundational biomechanics texts and scientific literature. With the information found in this text, readers can prepare themselves to better understand the latest in cutting-edge research. Biomechanics of Skeletal Muscles is the third volume in the Biomechanics of Human Motion series. Advanced readers in human movement science gain a comprehensive understanding of the biomechanics of human motion as presented by one of the world’s foremost researchers on the subject, Dr. Vladimir Zatsiorsky. The series begins with Kinematics of Human Motion, which details human body positioning and movement in three dimensions; continues with Kinetics of Human Motion, which examines the forces that create body motion and their effects; and concludes with Biomechanics of Skeletal Muscles, which explains the action of the biological motors that exert force and produce mechanical work during human movement.
Publisher: Human Kinetics
ISBN: 1492582107
Category : Science
Languages : en
Pages : 543
Book Description
Richly illustrated and presented in clear, concise language, Biomechanics of Skeletal Muscles is an essential resource for those seeking advanced knowledge of muscle biomechanics. Written by leading experts Vladimir Zatsiorsky and Boris Prilutsky, the text is one of the few to look at muscle biomechanics in its entirety—from muscle fibers to muscle coordination—making it a unique contribution to the field. Using a blend of experimental evidence and mechanical models, Biomechanics of Skeletal Muscles provides an explanation of whole muscle biomechanics at work in the body in motion. The book first addresses the mechanical behavior of single muscles—from the sarcomere level up to the entire muscle. The architecture of human muscle, the mechanical properties of tendons and passive muscles, the biomechanics of active muscles, and the force transmission and shock absorption aspects of muscle are explored in detail. Next, the various issues of muscle functioning during human motion are addressed. The transformation from muscle force to joint movements, two-joint muscle function, eccentric muscle action, and muscle coordination are analyzed. This advanced text assumes some knowledge of algebra and calculus; however, the emphasis is on understanding physical concepts. Higher-level computational descriptions are placed in special sections in the later chapters of the book, allowing those with a strong mathematical background to explore this material in more detail. Readers who choose to skip over these sections will find that the book still provides a strong conceptual understanding of advanced topics. Biomechanics of Skeletal Muscles also contains numerous special features that facilitate readers’ comprehension of the topics presented. More than 300 illustrations and accompanying explanations provide an extensive visual representation of muscle biomechanics. Refresher sidebars offer brief reminders of mathematical and biomechanical concepts, and From the Literature sidebars present practical examples that illustrate the concepts under discussion. Chapter summaries and review questions provide an opportunity for reflection and self-testing, and reference lists at the end of each chapter provide a starting point for further study. Biomechanics of Skeletal Muscles offers a thorough explanation of whole muscle biomechanics, bridging the gap between foundational biomechanics texts and scientific literature. With the information found in this text, readers can prepare themselves to better understand the latest in cutting-edge research. Biomechanics of Skeletal Muscles is the third volume in the Biomechanics of Human Motion series. Advanced readers in human movement science gain a comprehensive understanding of the biomechanics of human motion as presented by one of the world’s foremost researchers on the subject, Dr. Vladimir Zatsiorsky. The series begins with Kinematics of Human Motion, which details human body positioning and movement in three dimensions; continues with Kinetics of Human Motion, which examines the forces that create body motion and their effects; and concludes with Biomechanics of Skeletal Muscles, which explains the action of the biological motors that exert force and produce mechanical work during human movement.
The Discrete Math Workbook
Author: Sergei Kurgalin
Publisher: Springer Nature
ISBN: 3030422216
Category : Computers
Languages : en
Pages : 507
Book Description
This practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a varied selection of questions and assignments of different levels of complexity. This updated second edition now covers the design and analysis of algorithms using Python, and features more than 50 new problems, complete with solutions. Topics and features: provides a substantial collection of problems and examples of varying levels of difficulty, suitable for both laboratory practical training and self-study; offers detailed solutions to each problem, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including Turing machines, asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on workbook is an invaluable resource for undergraduate students of computer science, informatics, and electronic engineering. Suitable for use in a one- or two-semester course on discrete mathematics, the text emphasizes the skills required to develop and implement an algorithm in a specific programming language.
Publisher: Springer Nature
ISBN: 3030422216
Category : Computers
Languages : en
Pages : 507
Book Description
This practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a varied selection of questions and assignments of different levels of complexity. This updated second edition now covers the design and analysis of algorithms using Python, and features more than 50 new problems, complete with solutions. Topics and features: provides a substantial collection of problems and examples of varying levels of difficulty, suitable for both laboratory practical training and self-study; offers detailed solutions to each problem, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including Turing machines, asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on workbook is an invaluable resource for undergraduate students of computer science, informatics, and electronic engineering. Suitable for use in a one- or two-semester course on discrete mathematics, the text emphasizes the skills required to develop and implement an algorithm in a specific programming language.