Fractal analysis:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Los Angeles [u.a.]
SAGE
2010
|
| Schriftenreihe: | Quantitative applications in the social sciences
165 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020531329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XV, 90 S. graph. Darst. |
| ISBN: | 9781412971652 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: Fractal analysis
Autor: Brown, Clifford T.
Jahr: 2010
CONTENTS
About the Authors vii
Series Editor s Introduction viii
Preface ix
Chapter 1. Introduction to Fractals 1
Mandelbrot 1
What Are Fractals? 2
Sets 2
Self-Similarity 3
Scale Invariance 5
Power Law Relations 5
Fractal Dimension: Quantifying Fractal Properties 15
The Formal Definition of Fractals 20
Topological Dimension 21
Hausdorff Besicovitch Dimension 21
Discussion 23
Chapter 2. Fractal Analysis of Frequency Distributions 26
Power Laws 26
Three Methods: Histogram PDF, Multiscale
PDF, and Cumulative Distribution 27
Examples With Lots of Data 32
Examples With a Small Amount of Data 36
Summary 39
Chapter 3. Fractal Patterns Embedded in Two Dimensions 40
Estimating the Fractal Dimension of Empirical Data 45
The Divider Method: How Long Is the Coast of Britain? 46
The Box-Counting Method 48
Applying the Method in Practice 53
Summary and Discussion 54
Chapter 4. Social Processes That Generate Fractals 56
How We Do Our To Do Lists: Preferential Priorities 56
How We Kill: Attendant Causes, Self-Organized
Criticality, and Agent-Based Models 57
How We Network: Preferential Attachment 59
How We Decide Where to Live: Diffusion Limited Aggregation 60
How We Look for Food: Levy Flights 61
How We Live Together: Balancing
Cohesive and Disruptive Forces 62
Summary and Discussion 62
Chapter 5. Advanced Topics in Fractal Analysis 64
Multiscaling Fractal Patterns 65
Patterns Embedded in Three Dimensions 67
Self-Affine Fractals 67
Fractal Time Series 68
Multifractals 72
Lacunarity 73
Conclusion 74
Chapter 6. Final Considerations 75
Should I Try Fractal Analysis? 75
Caveats 76
References 79
Author Index 85
Subject Index 88
|
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| id | DE-604.BV036611069 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:38:09Z |
| institution | BVB |
| isbn | 9781412971652 |
| language | English |
| lccn | 2009045118 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020531329 |
| oclc_num | 699616397 |
| open_access_boolean | |
| owner | DE-83 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-20 |
| owner_facet | DE-83 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-20 |
| physical | XV, 90 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | SAGE |
| record_format | marc |
| series | Quantitative applications in the social sciences |
| series2 | Quantitative applications in the social sciences |
| spellingShingle | Brown, Clifford T. 1962- Liebovitch, Larry S. Fractal analysis Quantitative applications in the social sciences Sozialwissenschaften (DE-588)4055916-6 gnd Fraktal (DE-588)4123220-3 gnd |
| subject_GND | (DE-588)4055916-6 (DE-588)4123220-3 |
| title | Fractal analysis |
| title_auth | Fractal analysis |
| title_exact_search | Fractal analysis |
| title_full | Fractal analysis Clifford Brown ; Larry S. Liebovitch |
| title_fullStr | Fractal analysis Clifford Brown ; Larry S. Liebovitch |
| title_full_unstemmed | Fractal analysis Clifford Brown ; Larry S. Liebovitch |
| title_short | Fractal analysis |
| title_sort | fractal analysis |
| topic | Sozialwissenschaften (DE-588)4055916-6 gnd Fraktal (DE-588)4123220-3 gnd |
| topic_facet | Sozialwissenschaften Fraktal |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020531329&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005102 |
| work_keys_str_mv | AT browncliffordt fractalanalysis AT liebovitchlarrys fractalanalysis |