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Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
| Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (253 p.) |
| Disciplina | 515/.7 |
| Altri autori (Persone) |
SchweizerB (Berthold)
FrankMaurice J |
| Soggetto topico |
Functional equations
Associative law (Mathematics) Mathematical analysis Functional equations - Study and teaching Associative law (Mathematics) - Study and teaching Mathematical analysis - Study and teaching |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91934-9
9786611919344 981-277-420-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Special symbols -- 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. t-norms and s-norms. 1.4. Copulas -- 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean t-norms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, non-Archimedean t-norms. 2.5. Non-continuous t-norms. 2.6. Families of t-norms. 2.7. Other representation theorems. 2.8. Related functional equations -- 3. Functional equations involving t-norms. 3.1. Simultaneous associativity. 3.2. n-duality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical t-norms. 3.7. Rational Archimedean t-norms. 3.8. Extension and sets of uniqueness -- 4. Inequalities involving t-norms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and n-copulas. 4.5. Positivity. |
| Record Nr. | UNINA-9910451937603321 |
Alsina Claudi
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
| Associative functions [[electronic resource] ] : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (253 p.) |
| Disciplina | 515/.7 |
| Altri autori (Persone) |
SchweizerB (Berthold)
FrankMaurice J |
| Soggetto topico |
Functional equations
Associative law (Mathematics) Mathematical analysis Functional equations - Study and teaching Associative law (Mathematics) - Study and teaching Mathematical analysis - Study and teaching |
| ISBN |
1-281-91934-9
9786611919344 981-277-420-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Special symbols -- 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. t-norms and s-norms. 1.4. Copulas -- 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean t-norms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, non-Archimedean t-norms. 2.5. Non-continuous t-norms. 2.6. Families of t-norms. 2.7. Other representation theorems. 2.8. Related functional equations -- 3. Functional equations involving t-norms. 3.1. Simultaneous associativity. 3.2. n-duality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical t-norms. 3.7. Rational Archimedean t-norms. 3.8. Extension and sets of uniqueness -- 4. Inequalities involving t-norms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and n-copulas. 4.5. Positivity. |
| Record Nr. | UNINA-9910778261103321 |
|
Alsina Claudi
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Associative functions : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer
| Associative functions : triangular norms and copulas / / Claudi Alsina, Maurice J. Frank, Berthold Schweizer |
| Autore | Alsina Claudi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (253 p.) |
| Disciplina | 515/.7 |
| Altri autori (Persone) |
SchweizerB (Berthold)
FrankMaurice J |
| Soggetto topico |
Functional equations
Associative law (Mathematics) Mathematical analysis Functional equations - Study and teaching Associative law (Mathematics) - Study and teaching Mathematical analysis - Study and teaching |
| ISBN |
1-281-91934-9
9786611919344 981-277-420-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Special symbols -- 1. Introduction. 1.1. Historical notes. 1.2. Preliminaries. 1.3. t-norms and s-norms. 1.4. Copulas -- 2. Representation theorems for associative functions. 2.1. Continuous, Archimedean t-norms. 2.2. Additive and multiplicative generators. 2.3. Extension to arbitrary closed intervals. 2.4. Continuous, non-Archimedean t-norms. 2.5. Non-continuous t-norms. 2.6. Families of t-norms. 2.7. Other representation theorems. 2.8. Related functional equations -- 3. Functional equations involving t-norms. 3.1. Simultaneous associativity. 3.2. n-duality. 3.3. Simple characterizations of Min. 3.4. Homogeneity. 3.5. Distributivity. 3.6. Conical t-norms. 3.7. Rational Archimedean t-norms. 3.8. Extension and sets of uniqueness -- 4. Inequalities involving t-norms. 4.1. Notions of concavity and convexity. 4.2. The dominance relation. 4.3. Uniformly close associative functions. 4.4. Serial iterates and n-copulas. 4.5. Positivity. |
| Record Nr. | UNINA-9910811935003321 |
|
Alsina Claudi
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Charming proofs [[electronic resource] ] : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen
| Charming proofs [[electronic resource] ] : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2010 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 511.3/6 |
| Altri autori (Persone) | NelsenRoger B |
| Collana | Dolciani mathematical expositions |
| Soggetto topico | Proof theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-201-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs. |
| Record Nr. | UNINA-9910461942903321 |
|
Alsina Claudi
|
||
| Washington, D.C., : Mathematical Association of America, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen [[electronic resource]]
| Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen [[electronic resource]] |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2010 |
| Descrizione fisica | 1 online resource (xxiv, 295 pages) : digital, PDF file(s) |
| Disciplina | 511.3/6 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions |
| Soggetto topico | Proof theory |
| ISBN | 1-61444-201-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs. |
| Record Nr. | UNINA-9910790362803321 |
|
Alsina Claudi
|
||
| Washington : , : Mathematical Association of America, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen [[electronic resource]]
| Charming proofs : a journey into elegant mathematics / / Claudi Alsina, Roger B. Nelsen [[electronic resource]] |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2010 |
| Descrizione fisica | 1 online resource (xxiv, 295 pages) : digital, PDF file(s) |
| Disciplina | 511.3/6 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions |
| Soggetto topico | Proof theory |
| ISBN | 1-61444-201-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs. |
| Record Nr. | UNINA-9910812248803321 |
|
Alsina Claudi
|
||
| Washington : , : Mathematical Association of America, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Icons of mathematics [[electronic resource] ] : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen
| Icons of mathematics [[electronic resource] ] : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | [Washington, D.C.], : Mathematical Association of America, c2011 |
| Descrizione fisica | 1 online resource (347 p.) |
| Disciplina | 516.2/04 |
| Altri autori (Persone) | NelsenRoger B |
| Collana | Dolciani mathematical expositions |
| Soggetto topico |
Geometry - Famous problems
Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-986-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; The bride's chair -- Zhou Bi Suan Jing -- Garfield's trapezoid -- ; The semicircle -- Similar figures -- Cevians -- ; The right triangle -- Napoleon's triangles -- Arcs and angles -- Polygons with circles -- Two circles -- Venn diagrams -- Overlapping figures -- Yin and yang -- Polygonal lines -- Star polygons -- Self-similar figures -- Tatami -- ; The rectangular hyperbola -- Tiling -- Solutions to the challenges. |
| Record Nr. | UNINA-9910461929403321 |
|
Alsina Claudi
|
||
| [Washington, D.C.], : Mathematical Association of America, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Icons of mathematics : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen [[electronic resource]]
| Icons of mathematics : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen [[electronic resource]] |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2011 |
| Descrizione fisica | 1 online resource (xvii, 327 pages) : digital, PDF file(s) |
| Disciplina | 516.2/04 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions |
| Soggetto topico |
Geometry - Famous problems
Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization |
| ISBN | 0-88385-986-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; Preface -- Twenty key icons of mathematics -- The bride's chair -- Zhou Bi Suan Jing -- Garfield's trapezoid -- The semicircle -- Similar figures -- Cevians -- The right triangle -- Napoleon's triangles -- Arcs and angles -- Polygons with circles -- Two circles -- Venn diagrams -- Overlapping figures -- Yin and yang -- Polygonal lines -- Star polygons -- Self-similar figures -- Tatami -- The rectangular hyperbola -- Tiling -- Solutions to the challenges -- ; References -- ; Index -- ; About the authors. |
| Record Nr. | UNINA-9910790363603321 |
|
Alsina Claudi
|
||
| Washington : , : Mathematical Association of America, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Icons of mathematics : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen [[electronic resource]]
| Icons of mathematics : an exploration of twenty key images / / Claudi Alsina, Roger B. Nelsen [[electronic resource]] |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2011 |
| Descrizione fisica | 1 online resource (xvii, 327 pages) : digital, PDF file(s) |
| Disciplina | 516.2/04 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions |
| Soggetto topico |
Geometry - Famous problems
Geometrical constructions Generation of geometric forms Proof theory Mathematical notation Geometrical drawing Geometry, Plane Visualization |
| ISBN | 0-88385-986-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; Preface -- Twenty key icons of mathematics -- The bride's chair -- Zhou Bi Suan Jing -- Garfield's trapezoid -- The semicircle -- Similar figures -- Cevians -- The right triangle -- Napoleon's triangles -- Arcs and angles -- Polygons with circles -- Two circles -- Venn diagrams -- Overlapping figures -- Yin and yang -- Polygonal lines -- Star polygons -- Self-similar figures -- Tatami -- The rectangular hyperbola -- Tiling -- Solutions to the challenges -- ; References -- ; Index -- ; About the authors. |
| Record Nr. | UNINA-9910812249803321 |
|
Alsina Claudi
|
||
| Washington : , : Mathematical Association of America, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Norm derivatives and characterizations of inner product spaces [[electronic resource] /] / Claudi Alsina, Justyna Sikorska, M. Santos Tomás
| Norm derivatives and characterizations of inner product spaces [[electronic resource] /] / Claudi Alsina, Justyna Sikorska, M. Santos Tomás |
| Autore | Alsina Claudi |
| Pubbl/distr/stampa | Singapore, : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (190 p.) |
| Disciplina | 515.732 |
| Altri autori (Persone) |
SikorskaJustyna
TomásM. Santos |
| Soggetto topico |
Normed linear spaces
Inner product spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76147-1
9786612761478 981-4287-27-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Norm Derivatives; Characterizations of Inner Product Spaces; Orthogonality Relations; Norm Derivatives and Heights; Perpendicular Bisectors in Real Normed Spaces; Bisectrices in Real Normed Spaces; Areas of Triangles in Normed Real Spaces. |
| Record Nr. | UNINA-9910455562903321 |
|
Alsina Claudi
|
||
| Singapore, : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
