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The elements of Cantor sets : with applications / / Robert W. Vallin
| The elements of Cantor sets : with applications / / Robert W. Vallin |
| Autore | Vallin Robert W |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2013] |
| Descrizione fisica | 1 online resource (248 p.) |
| Disciplina | 515.8 |
| Soggetto topico |
Cantor sets
Measure theory Mathematical analysis MATHEMATICS / Mathematical Analysis |
| ISBN |
1-118-40743-1
1-118-54874-4 1-118-54870-1 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; CONTENTS; Foreword; Preface; Acknowledgments; Introduction; 1 A Quick Biography of Cantor; 2 Basics; 2.1 Review; Exercises; 3 Introducing the Cantor Set; 3.1 Some Definitions and Basics; 3.2 Size of a Cantor Set; 3.2.1 Cardinality; 3.2.2 Category; 3.2.3 Measure; 3.3 Large and Small; Exercises; 4 Cantor Sets and Continued Fractions; 4.1 Introducing Continued Fractions; 4.2 Constructing a Cantor Set; 4.3 Diophantine Equations; 4.4 Miscellaneous; Exercises; 5 p-adic Numbers and Valuations; 5.1 Some Abstract Algebra; 5.2 p-adic Numbers
5.2.1 An Analysis Point of View5.2.2 An Algebra Point of View; 5.3 p-adic Integers and Cantor Sets; 5.4 p-adic Rational Numbers; Exercises; 6 Self-Similar Objects; 6.1 The Meaning of Self-Similar; 6.2 Metric Spaces; 6.3 Sequences in (S, d); 6.4 Affine Transformations; 6.5 An Application for an IFS; Exercises; 7 Various Notions of Dimension; 7.1 Limit Supremum and Limit Infimum; 7.2 Topological Dimension; 7.3 Similarity Dimension; 7.4 Box-Counting Dimension; 7.5 Hausdorff Measure and Dimension; 7.6 Miscellaneous Notions of Dimension; Exercises; 8 Porosity and Thickness-Looking at the Gaps 8.1 The Porosity of a Set8.2 Symmetric Sets and Symmetric Porosity; 8.3 A New and Different Definition of Cantor Set; 8.4 Thickness of a Cantor Set; 8.5 Applying Thickness; 8.6 A Bit More on Thickness; 8.7 Porosity in a Metric Space; Exercises; 9 Creating Pathological Functions via C; 9.1 Sequences of Functions; 9.2 The Cantor Function; 9.3 Space-Filling Curves; 9.4 Baire Class One Functions; 9.5 Darboux Functions; 9.6 Linearly Continuous Functions; Exercises; 10 Generalizations and Applications; 10.1 Generalizing Cantor Sets; 10.2 Fat Cantor Sets; 10.3 Sums of Cantor Sets 10.4 Differences of Cantor Sets10.5 Products of Cantor Sets; 10.6 Cantor Target; 10.7 Ana Sets; 10.8 Average Distance; 10.9 Non-Averaging Sets; 10.10 Cantor Series and Cantor Sets; 10.11 Liouville Numbers and Irrationality Exponents; 10.12 Sets of Sums of Convergent Alternating Series; 10.13 The Monty Hall Problem; 11 Epilogue; References; Index |
| Record Nr. | UNINA-9910139035303321 |
Vallin Robert W
|
||
| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The elements of Cantor sets : with applications / / Robert W. Vallin
| The elements of Cantor sets : with applications / / Robert W. Vallin |
| Autore | Vallin Robert W |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2013] |
| Descrizione fisica | 1 online resource (248 p.) |
| Disciplina | 515.8 |
| Soggetto topico |
Cantor sets
Measure theory Mathematical analysis MATHEMATICS / Mathematical Analysis |
| ISBN |
1-118-40743-1
1-118-54874-4 1-118-54870-1 |
| Classificazione | MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; CONTENTS; Foreword; Preface; Acknowledgments; Introduction; 1 A Quick Biography of Cantor; 2 Basics; 2.1 Review; Exercises; 3 Introducing the Cantor Set; 3.1 Some Definitions and Basics; 3.2 Size of a Cantor Set; 3.2.1 Cardinality; 3.2.2 Category; 3.2.3 Measure; 3.3 Large and Small; Exercises; 4 Cantor Sets and Continued Fractions; 4.1 Introducing Continued Fractions; 4.2 Constructing a Cantor Set; 4.3 Diophantine Equations; 4.4 Miscellaneous; Exercises; 5 p-adic Numbers and Valuations; 5.1 Some Abstract Algebra; 5.2 p-adic Numbers
5.2.1 An Analysis Point of View5.2.2 An Algebra Point of View; 5.3 p-adic Integers and Cantor Sets; 5.4 p-adic Rational Numbers; Exercises; 6 Self-Similar Objects; 6.1 The Meaning of Self-Similar; 6.2 Metric Spaces; 6.3 Sequences in (S, d); 6.4 Affine Transformations; 6.5 An Application for an IFS; Exercises; 7 Various Notions of Dimension; 7.1 Limit Supremum and Limit Infimum; 7.2 Topological Dimension; 7.3 Similarity Dimension; 7.4 Box-Counting Dimension; 7.5 Hausdorff Measure and Dimension; 7.6 Miscellaneous Notions of Dimension; Exercises; 8 Porosity and Thickness-Looking at the Gaps 8.1 The Porosity of a Set8.2 Symmetric Sets and Symmetric Porosity; 8.3 A New and Different Definition of Cantor Set; 8.4 Thickness of a Cantor Set; 8.5 Applying Thickness; 8.6 A Bit More on Thickness; 8.7 Porosity in a Metric Space; Exercises; 9 Creating Pathological Functions via C; 9.1 Sequences of Functions; 9.2 The Cantor Function; 9.3 Space-Filling Curves; 9.4 Baire Class One Functions; 9.5 Darboux Functions; 9.6 Linearly Continuous Functions; Exercises; 10 Generalizations and Applications; 10.1 Generalizing Cantor Sets; 10.2 Fat Cantor Sets; 10.3 Sums of Cantor Sets 10.4 Differences of Cantor Sets10.5 Products of Cantor Sets; 10.6 Cantor Target; 10.7 Ana Sets; 10.8 Average Distance; 10.9 Non-Averaging Sets; 10.10 Cantor Series and Cantor Sets; 10.11 Liouville Numbers and Irrationality Exponents; 10.12 Sets of Sums of Convergent Alternating Series; 10.13 The Monty Hall Problem; 11 Epilogue; References; Index |
| Record Nr. | UNINA-9910808180303321 |
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Vallin Robert W
|
||
| Hoboken, New Jersey : , : Wiley, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen
| Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen |
| Autore | Cao Kecai |
| Pubbl/distr/stampa | Boston ; ; Berlin : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (140 pages) |
| Disciplina | 363.32/30151583 |
| Collana | Fractional calculus in applied sciences and engineering |
| Soggetto topico |
Pedestrian traffic flow - Mathematical models
Fractional calculus MATHEMATICS / Differential Equations MATHEMATICS / Mathematical Analysis MATHEMATICS / Calculus MATHEMATICS / Applied |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-047283-X
3-11-047398-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Acronyms -- 1. Introduction -- Part I. Fractional modeling of large crowds of pedestrians -- 2. Microscopic model of fractional order for evacuation of crowds -- 3. Macroscopic model of fractional order for crowds of pedestrians -- 4. Mesoscopic model of fractional order for crowds of pedestrians -- Part II: Fractional control of large crowds of pedestrians -- 5. Cluster consensus for crowds of pedestrians at micro-scale -- 6. Feedback control of crowds of pedestrians at macro-scale -- 7. Intelligent evacuation systems for crowds of pedestrians -- Index |
| Record Nr. | UNINA-9910466684103321 |
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Cao Kecai
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||
| Boston ; ; Berlin : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen
| Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen |
| Autore | Cao Kecai |
| Pubbl/distr/stampa | Boston ; ; Berlin : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (140 pages) |
| Disciplina | 363.32/30151583 |
| Collana | Fractional calculus in applied sciences and engineering |
| Soggetto topico |
Pedestrian traffic flow - Mathematical models
Fractional calculus MATHEMATICS / Differential Equations MATHEMATICS / Mathematical Analysis MATHEMATICS / Calculus MATHEMATICS / Applied |
| ISBN |
3-11-047283-X
3-11-047398-4 |
| Classificazione | MAT003000MAT005000MAT007000MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Acronyms -- 1. Introduction -- Part I. Fractional modeling of large crowds of pedestrians -- 2. Microscopic model of fractional order for evacuation of crowds -- 3. Macroscopic model of fractional order for crowds of pedestrians -- 4. Mesoscopic model of fractional order for crowds of pedestrians -- Part II: Fractional control of large crowds of pedestrians -- 5. Cluster consensus for crowds of pedestrians at micro-scale -- 6. Feedback control of crowds of pedestrians at macro-scale -- 7. Intelligent evacuation systems for crowds of pedestrians -- Index |
| Record Nr. | UNINA-9910796981303321 |
|
Cao Kecai
|
||
| Boston ; ; Berlin : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen
| Fractional order crowd dynamics : cyber-human system modeling and control / / Kecai Cao, YangQuan Chen |
| Autore | Cao Kecai |
| Pubbl/distr/stampa | Boston ; ; Berlin : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (140 pages) |
| Disciplina | 363.32/30151583 |
| Collana | Fractional calculus in applied sciences and engineering |
| Soggetto topico |
Pedestrian traffic flow - Mathematical models
Fractional calculus MATHEMATICS / Differential Equations MATHEMATICS / Mathematical Analysis MATHEMATICS / Calculus MATHEMATICS / Applied |
| ISBN |
3-11-047283-X
3-11-047398-4 |
| Classificazione | MAT003000MAT005000MAT007000MAT034000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Acronyms -- 1. Introduction -- Part I. Fractional modeling of large crowds of pedestrians -- 2. Microscopic model of fractional order for evacuation of crowds -- 3. Macroscopic model of fractional order for crowds of pedestrians -- 4. Mesoscopic model of fractional order for crowds of pedestrians -- Part II: Fractional control of large crowds of pedestrians -- 5. Cluster consensus for crowds of pedestrians at micro-scale -- 6. Feedback control of crowds of pedestrians at macro-scale -- 7. Intelligent evacuation systems for crowds of pedestrians -- Index |
| Record Nr. | UNINA-9910807397903321 |
|
Cao Kecai
|
||
| Boston ; ; Berlin : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Measure Theory in Non-Smooth Spaces / / Nicola Gigli
| Measure Theory in Non-Smooth Spaces / / Nicola Gigli |
| Autore | Gigli Nicola |
| Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2017] |
| Descrizione fisica | 1 online resource |
| Disciplina | 510 |
| Soggetto topico |
Raum
Maßtheorie MATHEMATICS / Mathematical Analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below / Ambrosio, Luigi / Honda, Shouhei -- Surface measures in infinite-dimensional spaces / Bogachev, Vladimir I. -- An Overview of L1 optimal transportation on metric measure spaces / Cavalletti, Fabio -- On a conjecture of Cheeger / De Philippis, Guido / Marchese, Andrea / Rindler, Filip -- The magnitude of a metric space: from category theory to geometric measure theory / Leinster, Tom / Meckes, Mark W. -- On the convexity of the entropy along entropic interpolations / Léonard, Christian -- Brief survey ∞-Poincaré inequality and existence ∞-harmonic functions / Shanmugalingam, Nageswari -- Metric measure limits of spheres and complex projective spaces / Shioya, Takashi -- Scalar Curvature and Intrinsic Flat Convergence / Sormani, Christina |
| Record Nr. | UNISA-996309082103316 |
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Gigli Nicola
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| Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Measure Theory in Non-Smooth Spaces / / Nicola Gigli
| Measure Theory in Non-Smooth Spaces / / Nicola Gigli |
| Autore | Gigli Nicola |
| Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2017] |
| Descrizione fisica | 1 online resource |
| Disciplina | 510 |
| Soggetto topico |
Raum
Maßtheorie MATHEMATICS / Mathematical Analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below / Ambrosio, Luigi / Honda, Shouhei -- Surface measures in infinite-dimensional spaces / Bogachev, Vladimir I. -- An Overview of L1 optimal transportation on metric measure spaces / Cavalletti, Fabio -- On a conjecture of Cheeger / De Philippis, Guido / Marchese, Andrea / Rindler, Filip -- The magnitude of a metric space: from category theory to geometric measure theory / Leinster, Tom / Meckes, Mark W. -- On the convexity of the entropy along entropic interpolations / Léonard, Christian -- Brief survey ∞-Poincaré inequality and existence ∞-harmonic functions / Shanmugalingam, Nageswari -- Metric measure limits of spheres and complex projective spaces / Shioya, Takashi -- Scalar Curvature and Intrinsic Flat Convergence / Sormani, Christina |
| Record Nr. | UNINA-9910220014203321 |
|
Gigli Nicola
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||
| Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi
| Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi |
| Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] |
| Descrizione fisica | 1 online resource |
| Soggetto topico | MATHEMATICS / Mathematical Analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-057156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Bucur, Claudia -- Heat Kernels for Non-symmetric Non-local Operators / Chen, Zhen-Qing / Zhang, Xicheng -- Fractional Harmonic Maps / Da Lio, Francesca -- Obstacle Problems Involving the Fractional Laplacian / Danielli, Donatella / Salsa, Sandro -- Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Dipierro, Serena / Valdinoci, Enrico -- Eigenvalue Bounds for the Fractional Laplacian: A Review / Frank, Rupert L. -- Recent Progress on the Fractional Laplacian in Conformal Geometry / González, María del Mar -- Jump Processes and Nonlocal Operators / Kassmann, Moritz -- Regularity Issues Involving the Fractional p-Laplacian / Kuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- Boundary Regularity, Pohozaev Identities and Nonexistence Results / Ros-Oton, Xavier -- Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Molica Bisci, Giovanni -- Change of Scales for Crystal Dislocation Dynamics / Patrizi, Stefania |
| Record Nr. | UNISA-996309083903316 |
| Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi
| Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi |
| Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] |
| Descrizione fisica | 1 online resource |
| Soggetto topico | MATHEMATICS / Mathematical Analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-057156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Bucur, Claudia -- Heat Kernels for Non-symmetric Non-local Operators / Chen, Zhen-Qing / Zhang, Xicheng -- Fractional Harmonic Maps / Da Lio, Francesca -- Obstacle Problems Involving the Fractional Laplacian / Danielli, Donatella / Salsa, Sandro -- Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Dipierro, Serena / Valdinoci, Enrico -- Eigenvalue Bounds for the Fractional Laplacian: A Review / Frank, Rupert L. -- Recent Progress on the Fractional Laplacian in Conformal Geometry / González, María del Mar -- Jump Processes and Nonlocal Operators / Kassmann, Moritz -- Regularity Issues Involving the Fractional p-Laplacian / Kuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- Boundary Regularity, Pohozaev Identities and Nonexistence Results / Ros-Oton, Xavier -- Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Molica Bisci, Giovanni -- Change of Scales for Crystal Dislocation Dynamics / Patrizi, Stefania |
| Record Nr. | UNINA-9910272346403321 |
| Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Transport, Fluids, and Mixing / / Gianluca Crippa, Anna Mazzucato
| Transport, Fluids, and Mixing / / Gianluca Crippa, Anna Mazzucato |
| Autore | Crippa Gianluca |
| Pubbl/distr/stampa | Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2020] |
| Descrizione fisica | 1 online resource (200 p.) |
| Disciplina | 532/.05 |
| Soggetto topico | MATHEMATICS / Mathematical Analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-057124-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Lectures on Stirring, Mixing and Transport -- New concepts of solutions in fluid dynamics -- Existence, uniqueness, regularity and long time behavior of hydrodynamic evolution equations -- Small Scale Creation in Inviscid Fluids |
| Record Nr. | UNISA-996309139103316 |
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Crippa Gianluca
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| Warsaw ; ; Berlin : , : De Gruyter Open Poland, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
