Classification and application of fractals :: new research /
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Nova Science Publishers,
©2012.
|
| Schriftenreihe: | Mathematics research developments series.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781624176166 162417616X |
Internformat
MARC
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| 245 | 0 | 0 | |a Classification and application of fractals : |b new research / |c Eric W. Mitchell and Scott R. Murray, editors. |
| 260 | |a New York : |b Nova Science Publishers, |c ©2012. | ||
| 300 | |a 1 online resource : |b illustrations | ||
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| 490 | 1 | |a Mathematics research developments | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: THE FRACTAL MODELS APPLICATION FOR NANOCOMPOSITES POLYMER/ORGANOCLAY STRUCTURE AND PROPERTIES DESCRIPTION; Abstract; Introduction; Structure of Nanocomposites Polymer/Organoclay; Mechanical Properties of Nanocomposites Polymer/Organoclay; The Structural Analysis of Nanocomposites Polymer/Organoclay Microhardness; The Fractal Model of Nanocomposites Polymer/Organoclay Thermal Stability. | |
| 505 | 8 | |a Gas Transport Processes in Nanocomposites Polymer/OrganoclayNanocomposites Polymer/Organoclay Limiting Characteristics Prediction; References; Chapter 2: GENERALIZED RAUZY FRACTALS AND QUASIPERIODIC TILINGS; Abstract; Introduction; 1. Fractals, Substitutions, and Tilings; 2. Numeration Systems, Fractals, and Substitutions; 3. Tilings for Special Cubic Units; 4. Weak Parameterization; 5. Diffraction of Rauzy Points; 6. The Section Method for Q3 Tilings; 7. Strong Parameterization for the Tiling; 8. Layerwise Growth; 9. Coordination Sequences; 10. Complexity Function and Forcing. | |
| 505 | 8 | |a 11. Vertices of the Tiling and Their Parameters12. Fractal Boundaries; 13. Similarity Transformations of the Tilings; References; Chapter 3: ON THE FRACTAL CHARACTERIZATION OF ZOOPLANKTON MOTION: APPLICATIONS AND PERSPECTIVES; Abstract; Introduction; An Outline on Fractal Geometry; Fractals and Trajectories: A Critical Approach; Metric Comparison; Fractal Dimension of Zooplankton Swimming Trajectories; Conclusion; Acknowledgments; References; Chapter 4: NEW CONSIDERATIONS IN FRACTAL SPACE-TIME THEORY; Abstract; 1. Fractals and Their Approximation; 1.1. Purpose; 1.2. Basic Notations. | |
| 505 | 8 | |a 1.3. Fractal Approximation and Extension1.4. Self-Similarity; 1.5. Comments; 2. Games with Cantor's Dust; 3. Fractal Approximation of Motion. Scale Relativity Theory; 3.1. Fractal functions. Dilatation Operator; 3.2. Fractal Variables. The Genesis of the Scales; 3.3. Special Considerations in Fractal Dimension; 3.4. Special Considerations in the Fractal Dimension; Acknowledgments; References; Chapter 5: FRACTAL DIMENSION IN TIME DOMAIN: APPLICATION IN EEG-SIGNAL ANALYSIS; Abstract; Part I. Testing of Higuchi's Fractal Dimension Method; 1. Introduction; 2. Methods. | |
| 505 | 8 | |a 3. Testing Higuchi's Fractal Dimension Method4. Conclusion; Part II. Applications of Higuchi's Fractal Dimension Method; 1. Applications of Higuchi's Method to Sleep Study; 2. Applications of Higuchi's Method for Monitoring Depth of Anesthesia; 3. Applications of Higuchi's Method in Epilepsy Research; 4. Applications of Higuchi's Method for Studying of Evoked EEGduring Photo-Stimulation; Acknowledgments; References; Chapter 6: SIMULATION AND EVALUATION METHODS FOR THE DIMENSIONS OF FRACTAL STRUCTURES AND FRACTAL PROCESSES; Abstract; 1. Fractal Scaling in the Nature. | |
| 650 | 0 | |a Fractals. |0 http://id.loc.gov/authorities/subjects/sh85051147 | |
| 650 | 6 | |a Fractales. | |
| 650 | 7 | |a fractals. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Fractals |2 fast | |
| 700 | 1 | |a Mitchell, Eric W., |d 1973- |1 https://id.oclc.org/worldcat/entity/E39PCjvPRHVFFDWxDhTWk7xQ4q |0 http://id.loc.gov/authorities/names/n2011086818 | |
| 700 | 1 | |a Murray, Scott R., |d 1976- |1 https://id.oclc.org/worldcat/entity/E39PCjKktPDjVXpG4fkF4QhHyd |0 http://id.loc.gov/authorities/names/n2011086819 | |
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| contents | CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: THE FRACTAL MODELS APPLICATION FOR NANOCOMPOSITES POLYMER/ORGANOCLAY STRUCTURE AND PROPERTIES DESCRIPTION; Abstract; Introduction; Structure of Nanocomposites Polymer/Organoclay; Mechanical Properties of Nanocomposites Polymer/Organoclay; The Structural Analysis of Nanocomposites Polymer/Organoclay Microhardness; The Fractal Model of Nanocomposites Polymer/Organoclay Thermal Stability. Gas Transport Processes in Nanocomposites Polymer/OrganoclayNanocomposites Polymer/Organoclay Limiting Characteristics Prediction; References; Chapter 2: GENERALIZED RAUZY FRACTALS AND QUASIPERIODIC TILINGS; Abstract; Introduction; 1. Fractals, Substitutions, and Tilings; 2. Numeration Systems, Fractals, and Substitutions; 3. Tilings for Special Cubic Units; 4. Weak Parameterization; 5. Diffraction of Rauzy Points; 6. The Section Method for Q3 Tilings; 7. Strong Parameterization for the Tiling; 8. Layerwise Growth; 9. Coordination Sequences; 10. Complexity Function and Forcing. 11. Vertices of the Tiling and Their Parameters12. Fractal Boundaries; 13. Similarity Transformations of the Tilings; References; Chapter 3: ON THE FRACTAL CHARACTERIZATION OF ZOOPLANKTON MOTION: APPLICATIONS AND PERSPECTIVES; Abstract; Introduction; An Outline on Fractal Geometry; Fractals and Trajectories: A Critical Approach; Metric Comparison; Fractal Dimension of Zooplankton Swimming Trajectories; Conclusion; Acknowledgments; References; Chapter 4: NEW CONSIDERATIONS IN FRACTAL SPACE-TIME THEORY; Abstract; 1. Fractals and Their Approximation; 1.1. Purpose; 1.2. Basic Notations. 1.3. Fractal Approximation and Extension1.4. Self-Similarity; 1.5. Comments; 2. Games with Cantor's Dust; 3. Fractal Approximation of Motion. Scale Relativity Theory; 3.1. Fractal functions. Dilatation Operator; 3.2. Fractal Variables. The Genesis of the Scales; 3.3. Special Considerations in Fractal Dimension; 3.4. Special Considerations in the Fractal Dimension; Acknowledgments; References; Chapter 5: FRACTAL DIMENSION IN TIME DOMAIN: APPLICATION IN EEG-SIGNAL ANALYSIS; Abstract; Part I. Testing of Higuchi's Fractal Dimension Method; 1. Introduction; 2. Methods. 3. Testing Higuchi's Fractal Dimension Method4. Conclusion; Part II. Applications of Higuchi's Fractal Dimension Method; 1. Applications of Higuchi's Method to Sleep Study; 2. Applications of Higuchi's Method for Monitoring Depth of Anesthesia; 3. Applications of Higuchi's Method in Epilepsy Research; 4. Applications of Higuchi's Method for Studying of Evoked EEGduring Photo-Stimulation; Acknowledgments; References; Chapter 6: SIMULATION AND EVALUATION METHODS FOR THE DIMENSIONS OF FRACTAL STRUCTURES AND FRACTAL PROCESSES; Abstract; 1. Fractal Scaling in the Nature. |
| ctrlnum | (OCoLC)834574054 |
| dewey-full | 514/.742 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.742 |
| dewey-search | 514/.742 |
| dewey-sort | 3514 3742 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| series | Mathematics research developments series. |
| series2 | Mathematics research developments |
| spelling | Classification and application of fractals : new research / Eric W. Mitchell and Scott R. Murray, editors. New York : Nova Science Publishers, ©2012. 1 online resource : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics research developments Includes bibliographical references and index. Print version record. CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: THE FRACTAL MODELS APPLICATION FOR NANOCOMPOSITES POLYMER/ORGANOCLAY STRUCTURE AND PROPERTIES DESCRIPTION; Abstract; Introduction; Structure of Nanocomposites Polymer/Organoclay; Mechanical Properties of Nanocomposites Polymer/Organoclay; The Structural Analysis of Nanocomposites Polymer/Organoclay Microhardness; The Fractal Model of Nanocomposites Polymer/Organoclay Thermal Stability. Gas Transport Processes in Nanocomposites Polymer/OrganoclayNanocomposites Polymer/Organoclay Limiting Characteristics Prediction; References; Chapter 2: GENERALIZED RAUZY FRACTALS AND QUASIPERIODIC TILINGS; Abstract; Introduction; 1. Fractals, Substitutions, and Tilings; 2. Numeration Systems, Fractals, and Substitutions; 3. Tilings for Special Cubic Units; 4. Weak Parameterization; 5. Diffraction of Rauzy Points; 6. The Section Method for Q3 Tilings; 7. Strong Parameterization for the Tiling; 8. Layerwise Growth; 9. Coordination Sequences; 10. Complexity Function and Forcing. 11. Vertices of the Tiling and Their Parameters12. Fractal Boundaries; 13. Similarity Transformations of the Tilings; References; Chapter 3: ON THE FRACTAL CHARACTERIZATION OF ZOOPLANKTON MOTION: APPLICATIONS AND PERSPECTIVES; Abstract; Introduction; An Outline on Fractal Geometry; Fractals and Trajectories: A Critical Approach; Metric Comparison; Fractal Dimension of Zooplankton Swimming Trajectories; Conclusion; Acknowledgments; References; Chapter 4: NEW CONSIDERATIONS IN FRACTAL SPACE-TIME THEORY; Abstract; 1. Fractals and Their Approximation; 1.1. Purpose; 1.2. Basic Notations. 1.3. Fractal Approximation and Extension1.4. Self-Similarity; 1.5. Comments; 2. Games with Cantor's Dust; 3. Fractal Approximation of Motion. Scale Relativity Theory; 3.1. Fractal functions. Dilatation Operator; 3.2. Fractal Variables. The Genesis of the Scales; 3.3. Special Considerations in Fractal Dimension; 3.4. Special Considerations in the Fractal Dimension; Acknowledgments; References; Chapter 5: FRACTAL DIMENSION IN TIME DOMAIN: APPLICATION IN EEG-SIGNAL ANALYSIS; Abstract; Part I. Testing of Higuchi's Fractal Dimension Method; 1. Introduction; 2. Methods. 3. Testing Higuchi's Fractal Dimension Method4. Conclusion; Part II. Applications of Higuchi's Fractal Dimension Method; 1. Applications of Higuchi's Method to Sleep Study; 2. Applications of Higuchi's Method for Monitoring Depth of Anesthesia; 3. Applications of Higuchi's Method in Epilepsy Research; 4. Applications of Higuchi's Method for Studying of Evoked EEGduring Photo-Stimulation; Acknowledgments; References; Chapter 6: SIMULATION AND EVALUATION METHODS FOR THE DIMENSIONS OF FRACTAL STRUCTURES AND FRACTAL PROCESSES; Abstract; 1. Fractal Scaling in the Nature. Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Mitchell, Eric W., 1973- https://id.oclc.org/worldcat/entity/E39PCjvPRHVFFDWxDhTWk7xQ4q http://id.loc.gov/authorities/names/n2011086818 Murray, Scott R., 1976- https://id.oclc.org/worldcat/entity/E39PCjKktPDjVXpG4fkF4QhHyd http://id.loc.gov/authorities/names/n2011086819 Print version: Classification and application of fractals. New York : Nova Science Publishers, ©2012 9781613241042 (DLC) 2011045795 (OCoLC)769010658 Mathematics research developments series. http://id.loc.gov/authorities/names/no2009139785 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540623 Volltext |
| spellingShingle | Classification and application of fractals : new research / Mathematics research developments series. CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; CLASSIFICATION AND APPLICATIONOF FRACTALS: NEW RESEARCH; LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA; CONTENTS; PREFACE; Chapter 1: THE FRACTAL MODELS APPLICATION FOR NANOCOMPOSITES POLYMER/ORGANOCLAY STRUCTURE AND PROPERTIES DESCRIPTION; Abstract; Introduction; Structure of Nanocomposites Polymer/Organoclay; Mechanical Properties of Nanocomposites Polymer/Organoclay; The Structural Analysis of Nanocomposites Polymer/Organoclay Microhardness; The Fractal Model of Nanocomposites Polymer/Organoclay Thermal Stability. Gas Transport Processes in Nanocomposites Polymer/OrganoclayNanocomposites Polymer/Organoclay Limiting Characteristics Prediction; References; Chapter 2: GENERALIZED RAUZY FRACTALS AND QUASIPERIODIC TILINGS; Abstract; Introduction; 1. Fractals, Substitutions, and Tilings; 2. Numeration Systems, Fractals, and Substitutions; 3. Tilings for Special Cubic Units; 4. Weak Parameterization; 5. Diffraction of Rauzy Points; 6. The Section Method for Q3 Tilings; 7. Strong Parameterization for the Tiling; 8. Layerwise Growth; 9. Coordination Sequences; 10. Complexity Function and Forcing. 11. Vertices of the Tiling and Their Parameters12. Fractal Boundaries; 13. Similarity Transformations of the Tilings; References; Chapter 3: ON THE FRACTAL CHARACTERIZATION OF ZOOPLANKTON MOTION: APPLICATIONS AND PERSPECTIVES; Abstract; Introduction; An Outline on Fractal Geometry; Fractals and Trajectories: A Critical Approach; Metric Comparison; Fractal Dimension of Zooplankton Swimming Trajectories; Conclusion; Acknowledgments; References; Chapter 4: NEW CONSIDERATIONS IN FRACTAL SPACE-TIME THEORY; Abstract; 1. Fractals and Their Approximation; 1.1. Purpose; 1.2. Basic Notations. 1.3. Fractal Approximation and Extension1.4. Self-Similarity; 1.5. Comments; 2. Games with Cantor's Dust; 3. Fractal Approximation of Motion. Scale Relativity Theory; 3.1. Fractal functions. Dilatation Operator; 3.2. Fractal Variables. The Genesis of the Scales; 3.3. Special Considerations in Fractal Dimension; 3.4. Special Considerations in the Fractal Dimension; Acknowledgments; References; Chapter 5: FRACTAL DIMENSION IN TIME DOMAIN: APPLICATION IN EEG-SIGNAL ANALYSIS; Abstract; Part I. Testing of Higuchi's Fractal Dimension Method; 1. Introduction; 2. Methods. 3. Testing Higuchi's Fractal Dimension Method4. Conclusion; Part II. Applications of Higuchi's Fractal Dimension Method; 1. Applications of Higuchi's Method to Sleep Study; 2. Applications of Higuchi's Method for Monitoring Depth of Anesthesia; 3. Applications of Higuchi's Method in Epilepsy Research; 4. Applications of Higuchi's Method for Studying of Evoked EEGduring Photo-Stimulation; Acknowledgments; References; Chapter 6: SIMULATION AND EVALUATION METHODS FOR THE DIMENSIONS OF FRACTAL STRUCTURES AND FRACTAL PROCESSES; Abstract; 1. Fractal Scaling in the Nature. Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85051147 |
| title | Classification and application of fractals : new research / |
| title_auth | Classification and application of fractals : new research / |
| title_exact_search | Classification and application of fractals : new research / |
| title_full | Classification and application of fractals : new research / Eric W. Mitchell and Scott R. Murray, editors. |
| title_fullStr | Classification and application of fractals : new research / Eric W. Mitchell and Scott R. Murray, editors. |
| title_full_unstemmed | Classification and application of fractals : new research / Eric W. Mitchell and Scott R. Murray, editors. |
| title_short | Classification and application of fractals : |
| title_sort | classification and application of fractals new research |
| title_sub | new research / |
| topic | Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. fractals. aat MATHEMATICS Topology. bisacsh Fractals fast |
| topic_facet | Fractals. Fractales. fractals. MATHEMATICS Topology. Fractals |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=540623 |
| work_keys_str_mv | AT mitchellericw classificationandapplicationoffractalsnewresearch AT murrayscottr classificationandapplicationoffractalsnewresearch |