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Link de la búsquedaAssociahedra, Tamari Lattices and Related Structures / SpringerLink (Online service) ; Folkert Müller Hoissen ; Pallo, Jean Marcel ; Stasheff, Jim (2012)
Título : Associahedra, Tamari Lattices and Related Structures : Tamari Memorial Festschrift Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Folkert Müller Hoissen ; Pallo, Jean Marcel ; Stasheff, Jim Editorial: Basel : Springer Basel Fecha de publicación: 2012 Otro editor: Imprint: Birkhäuser Colección: Progress in Mathematics, ISSN 0743-1643 num. 299 Número de páginas: XX, 436 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0405-9 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Ordered algebraic structures Convex geometry Discrete Number theory Algebraic topology and Geometry Theory Order, Lattices, Structures Topology Clasificación: 51 Matemáticas Resumen: Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This was the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations En línea: http://dx.doi.org/10.1007/978-3-0348-0405-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32887 Associahedra, Tamari Lattices and Related Structures : Tamari Memorial Festschrift [documento electrónico] / SpringerLink (Online service) ; Folkert Müller Hoissen ; Pallo, Jean Marcel ; Stasheff, Jim . - Basel : Springer Basel : Imprint: Birkhäuser, 2012 . - XX, 436 p : online resource. - (Progress in Mathematics, ISSN 0743-1643; 299) .
ISBN : 978-3-0348-0405-9
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Ordered algebraic structures Convex geometry Discrete Number theory Algebraic topology and Geometry Theory Order, Lattices, Structures Topology Clasificación: 51 Matemáticas Resumen: Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This was the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations En línea: http://dx.doi.org/10.1007/978-3-0348-0405-9 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32887 Ejemplares
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Título : Classification and Multivariate Analysis for Complex Data Structures Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Bernard Fichet ; Piccolo, Domenico ; Rosanna Verde ; Maurizio Vichi Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: Studies in Classification, Data Analysis, and Knowledge Organization, ISSN 1431-8814 Número de páginas: XIX, 473 p. 110 illus., 34 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-13312-1 Idioma : Inglés (eng) Palabras clave: Statistics Data structures (Computer science) Mathematical statistics Multimedia information systems Probabilities Statistical Theory and Methods Probability in Computer Science Structures, Cryptology Information Stochastic Processes Systems Clasificación: 51 Matemáticas Resumen: The growing capabilities in generating and collecting data has risen an urgent need of new techniques and tools in order to analyze, classify and summarize statistical information, as well as to discover and characterize trends, and to automatically bag anomalies. This volume provides the latest advances in data analysis methods for multidimensional data which can present a complex structure: The book offers a selection of papers presented at the first Joint Meeting of the Société Francophone de Classification and the Classification and Data Analysis Group of the Italian Statistical Society. Special attention is paid to new methodological contributions from both the theoretical and the applicative point of views, in the fields of Clustering, Classification, Time Series Analysis, Multidimensional Data Analysis, Knowledge Discovery from Large Datasets, Spatial Statistics Nota de contenido: Key Notes -- Classification and Discrimination -- Data Mining -- Robustness and Classification -- Categorical Data and Latent Class Approach -- Latent Variables and Related Methods -- Symbolic, Multivalued and Conceptual Data Analysis -- Spatial, Temporal, Streaming and Functional Data Analysis -- Bio and Health Science En línea: http://dx.doi.org/10.1007/978-3-642-13312-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33363 Classification and Multivariate Analysis for Complex Data Structures [documento electrónico] / SpringerLink (Online service) ; Bernard Fichet ; Piccolo, Domenico ; Rosanna Verde ; Maurizio Vichi . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - XIX, 473 p. 110 illus., 34 illus. in color : online resource. - (Studies in Classification, Data Analysis, and Knowledge Organization, ISSN 1431-8814) .
ISBN : 978-3-642-13312-1
Idioma : Inglés (eng)
Palabras clave: Statistics Data structures (Computer science) Mathematical statistics Multimedia information systems Probabilities Statistical Theory and Methods Probability in Computer Science Structures, Cryptology Information Stochastic Processes Systems Clasificación: 51 Matemáticas Resumen: The growing capabilities in generating and collecting data has risen an urgent need of new techniques and tools in order to analyze, classify and summarize statistical information, as well as to discover and characterize trends, and to automatically bag anomalies. This volume provides the latest advances in data analysis methods for multidimensional data which can present a complex structure: The book offers a selection of papers presented at the first Joint Meeting of the Société Francophone de Classification and the Classification and Data Analysis Group of the Italian Statistical Society. Special attention is paid to new methodological contributions from both the theoretical and the applicative point of views, in the fields of Clustering, Classification, Time Series Analysis, Multidimensional Data Analysis, Knowledge Discovery from Large Datasets, Spatial Statistics Nota de contenido: Key Notes -- Classification and Discrimination -- Data Mining -- Robustness and Classification -- Categorical Data and Latent Class Approach -- Latent Variables and Related Methods -- Symbolic, Multivalued and Conceptual Data Analysis -- Spatial, Temporal, Streaming and Functional Data Analysis -- Bio and Health Science En línea: http://dx.doi.org/10.1007/978-3-642-13312-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33363 Ejemplares
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Título : Lattices and Ordered Algebraic Structures Tipo de documento: documento electrónico Autores: T.S. Blyth ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2005 Colección: Universitext, ISSN 0172-5939 Número de páginas: X, 304 p Il.: online resource ISBN/ISSN/DL: 978-1-84628-127-3 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Ordered algebraic structures Order, Lattices, Algebraic Structures Clasificación: 51 Matemáticas Resumen: Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: [bulleted list] residuated mappings Galois connections modular, distributive, and complemented lattices Boolean algebras pseudocomplemented lattices Stone algebras Heyting algebras ordered groups lattice-ordered groups representable groups Archimedean ordered structures ordered semigroups naturally ordered regular and inverse Dubreil-Jacotin semigroups [end od bulleted list] Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science. T. S. Blyth is Professor Emeritus at St. Andrews University, UK Nota de contenido: Ordered sets; residuated mappings -- Lattices; lattice morphisms -- Regular equivalences -- Modular lattices -- Distributive lattices -- Complementation; boolean algebras -- Pseudocomplementation; Stone and Heyting algebras -- Congruences; subdirectly irreducible algebras -- Ordered groups -- Archimedean ordered structures -- Ordered semigroups; residuated semigroups -- Epimorphic group images; Dubreil-Jacotin semigroups -- Ordered regular semigroups -- Structure theorems En línea: http://dx.doi.org/10.1007/b139095 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35223 Lattices and Ordered Algebraic Structures [documento electrónico] / T.S. Blyth ; SpringerLink (Online service) . - London : Springer London, 2005 . - X, 304 p : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-1-84628-127-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Ordered algebraic structures Order, Lattices, Algebraic Structures Clasificación: 51 Matemáticas Resumen: Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: [bulleted list] residuated mappings Galois connections modular, distributive, and complemented lattices Boolean algebras pseudocomplemented lattices Stone algebras Heyting algebras ordered groups lattice-ordered groups representable groups Archimedean ordered structures ordered semigroups naturally ordered regular and inverse Dubreil-Jacotin semigroups [end od bulleted list] Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science. T. S. Blyth is Professor Emeritus at St. Andrews University, UK Nota de contenido: Ordered sets; residuated mappings -- Lattices; lattice morphisms -- Regular equivalences -- Modular lattices -- Distributive lattices -- Complementation; boolean algebras -- Pseudocomplementation; Stone and Heyting algebras -- Congruences; subdirectly irreducible algebras -- Ordered groups -- Archimedean ordered structures -- Ordered semigroups; residuated semigroups -- Epimorphic group images; Dubreil-Jacotin semigroups -- Ordered regular semigroups -- Structure theorems En línea: http://dx.doi.org/10.1007/b139095 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35223 Ejemplares
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Título : Novelty, Information and Surprise Tipo de documento: documento electrónico Autores: Palm, Günther ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: XXIV, 248 p Il.: online resource ISBN/ISSN/DL: 978-3-642-29075-6 Idioma : Inglés (eng) Palabras clave: Mathematics Artificial intelligence Pattern recognition Neurobiology Algebra Ordered algebraic structures Information theory Biomathematics and Communication, Circuits Intelligence (incl. Robotics) Order, Lattices, Algebraic Structures Recognition Mathematical Computational Biology Clasificación: 51 Matemáticas Resumen: The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space O) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of O, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two new concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these new concepts, mostly in statistics and in neuroscience Nota de contenido: Part I Surprise and Information of Descriptions: Prerequisites -- Improbability and Novelty of Descriptions -- Conditional Novelty and Information -- Part II Coding and Information Transmission: On Guessing and Coding -- Information Transmission -- Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate -- Channel Capacity -- Shannon's Theorem -- Part IV Repertoires and Covers: Repertoires and Descriptions -- Novelty, Information and Surprise of Repertoires -- Conditioning, Mutual Information and Information Gain -- Part V Information, Novelty and Surprise in Science: Information, Novelty and Surprise in Brain Theory -- Surprise from Repetitions and Combination of Surprises -- Entropy in Physics -- Part VI Generalized Information Theory: Order- and Lattice-Structures -- Three Orderings on Repertoires -- Information Theory on Lattices of Covers -- Appendices: A. Fuzzy Repertoires and Descriptions -- A.1 Basic Definitions -- A.2 Definition and Properties of Fuzzy Repertoires -- Glossary -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-29075-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32977 Novelty, Information and Surprise [documento electrónico] / Palm, Günther ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012 . - XXIV, 248 p : online resource.
ISBN : 978-3-642-29075-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Artificial intelligence Pattern recognition Neurobiology Algebra Ordered algebraic structures Information theory Biomathematics and Communication, Circuits Intelligence (incl. Robotics) Order, Lattices, Algebraic Structures Recognition Mathematical Computational Biology Clasificación: 51 Matemáticas Resumen: The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space O) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of O, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two new concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these new concepts, mostly in statistics and in neuroscience Nota de contenido: Part I Surprise and Information of Descriptions: Prerequisites -- Improbability and Novelty of Descriptions -- Conditional Novelty and Information -- Part II Coding and Information Transmission: On Guessing and Coding -- Information Transmission -- Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate -- Channel Capacity -- Shannon's Theorem -- Part IV Repertoires and Covers: Repertoires and Descriptions -- Novelty, Information and Surprise of Repertoires -- Conditioning, Mutual Information and Information Gain -- Part V Information, Novelty and Surprise in Science: Information, Novelty and Surprise in Brain Theory -- Surprise from Repetitions and Combination of Surprises -- Entropy in Physics -- Part VI Generalized Information Theory: Order- and Lattice-Structures -- Three Orderings on Repertoires -- Information Theory on Lattices of Covers -- Appendices: A. Fuzzy Repertoires and Descriptions -- A.1 Basic Definitions -- A.2 Definition and Properties of Fuzzy Repertoires -- Glossary -- Bibliography -- Index En línea: http://dx.doi.org/10.1007/978-3-642-29075-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32977 Ejemplares
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Título : Towards a General Theory of Classifications Tipo de documento: documento electrónico Autores: Parrochia, Daniel ; SpringerLink (Online service) ; Pierre Neuville Editorial: Basel : Springer Basel Fecha de publicación: 2013 Otro editor: Imprint: Birkhäuser Colección: Studies in Universal Logic Número de páginas: XXIII, 304 p. 72 illus., 1 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-0348-0609-1 Idioma : Inglés (eng) Palabras clave: Mathematics Logic Information storage and retrieval Algebra Ordered algebraic structures Game theory Mathematical logic Foundations Order, Lattices, Algebraic Structures Theory, Economics, Social Behav. Sciences Storage Retrieval Clasificación: 51 Matemáticas Resumen: This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field Nota de contenido: Foreword -- 1 Philosophical problems -- 2 Information data structures -- 3 Empirical Clustering and classic hierarchies -- 4 Algebra of trees -- 5 Generalized Classifications -- 6 Topology of generalized classifications -- 7 Meta-classification -- 8 For an axiomatic theory of classifications -- 9 Alternative theories and higher infinite -- 10 Postscript -- Bibliography. En línea: http://dx.doi.org/10.1007/978-3-0348-0609-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32440 Towards a General Theory of Classifications [documento electrónico] / Parrochia, Daniel ; SpringerLink (Online service) ; Pierre Neuville . - Basel : Springer Basel : Imprint: Birkhäuser, 2013 . - XXIII, 304 p. 72 illus., 1 illus. in color : online resource. - (Studies in Universal Logic) .
ISBN : 978-3-0348-0609-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Logic Information storage and retrieval Algebra Ordered algebraic structures Game theory Mathematical logic Foundations Order, Lattices, Algebraic Structures Theory, Economics, Social Behav. Sciences Storage Retrieval Clasificación: 51 Matemáticas Resumen: This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field Nota de contenido: Foreword -- 1 Philosophical problems -- 2 Information data structures -- 3 Empirical Clustering and classic hierarchies -- 4 Algebra of trees -- 5 Generalized Classifications -- 6 Topology of generalized classifications -- 7 Meta-classification -- 8 For an axiomatic theory of classifications -- 9 Alternative theories and higher infinite -- 10 Postscript -- Bibliography. En línea: http://dx.doi.org/10.1007/978-3-0348-0609-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32440 Ejemplares
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