Radii of convex bodies:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Techn. Univ., Diss., 2002 |
| Beschreibung: | XXIX, 126 S. Ill., graph. Darst. |
Internformat
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| 300 | |a XXIX, 126 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1816444968314601472 |
|---|---|
| adam_text |
CONTENTS
DEUTSCHSPRACHIGE UBERSICHT IIBER DIE DISSERTATION III
1. EINFIIHRUNG IN DEN WISSENSCHAFTLICHEN KONTEXT III
2. RADIEN REGULARER POLYTOPE VII
3- TOTAL MCHT-SPHANSCHE KORPER KONSTANTER BREITE XI
4. TOTAL ISORADIALE KORPER XIII
5. BLASCHKE-SANTALD DIAGRAMME XV
LIST OF FIGURES XXIII
LIST OF TABLES XXVII
ACKNOWLEDGEMENTS XXIX
CHAPTER 1. INTRODUCTION 1
1. THE CONTEXT 1
2. RADII OF REGULAR POLYTOPES 3
3. TOTALLY NON-SPHERICAL BODIES 4
4. TOTALLY ISORADIAL BODIES 4
5. BLASCHKE-SANTALD DIAGRAMS 5
CHAPTER 2. PRELIMINARIES 9
1. GENERAL CONVEXITY 9
2. THE TWO RADII CLASSES 11
3. CONSTANT BREADTH 16
CHAPTER 3. RADII OF REGULAR POLYTOPES 19
1. REGULAR SIMPLICES 20
2. GENERAL SIMPLICES 29
3. BOXES AND CROSS-POLYTOPES 31
4. CONCLUSIONS AND OPEN PROBLEMS 34
XXI
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/965585018
XXU
CONTENTS
CHAPTER 4. TOTALLY NON-SPHERICAL BODIES
1. DARK CLOUDS
2. EXISTENCE OF TOTALLY NON-SPHERICAL BODIES
3. CONCLUSIONS AND OPEN PROBLEMS 47
CHAPTER 5. TOTALLY ISORADIAL BODIES 49
1. DEFINITION AND BASIC PROPERTIES 50
2. A TOTALLY ISORADIAL BODY IN 3-SPACE 52
3. CONCLUSIONS AND OPEN PROBLEMS 61
CHAPTER 6. BLASEHKE-SANTALD DIAGRAMS 65
1. RADII OF MINKOWSKI SUMS 66
2. THE FOUR BLASCHKE-SANTALD DIAGRAMS 69
3. A SINGLE 3-DIMENSIONAL DIAGRAM 77
4. POSSIBLE EXTENSIONS 113
APPENDIX A. QHULL RESULTS FOR THE 3-DIMENSIONAL BLASCHKE-SANTALO DIAGRAM
119
BIBLIOGRAPHY 123 |
| any_adam_object | 1 |
| author | Brandenberg, René 1970- |
| author_GND | (DE-588)124154891 |
| author_facet | Brandenberg, René 1970- |
| author_role | aut |
| author_sort | Brandenberg, René 1970- |
| author_variant | r b rb |
| building | Verbundindex |
| bvnumber | BV015429096 |
| classification_tum | MAT 520d |
| ctrlnum | (OCoLC)643775317 (DE-599)BVBBV015429096 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV015429096 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:35:11Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010108216 |
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| physical | XXIX, 126 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| record_format | marc |
| spelling | Brandenberg, René 1970- Verfasser (DE-588)124154891 aut Radii of convex bodies René Brandenberg 2002 XXIX, 126 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2002 Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Körper konstanter Breite (DE-588)4164423-2 gnd rswk-swf Radius (DE-588)4451175-9 gnd rswk-swf Geometrische Ungleichung (DE-588)4705164-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Konvexer Körper (DE-588)4165214-9 s Radius (DE-588)4451175-9 s Körper konstanter Breite (DE-588)4164423-2 s Geometrische Ungleichung (DE-588)4705164-4 s 1\p DE-604 DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010108216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brandenberg, René 1970- Radii of convex bodies Konvexer Körper (DE-588)4165214-9 gnd Körper konstanter Breite (DE-588)4164423-2 gnd Radius (DE-588)4451175-9 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4164423-2 (DE-588)4451175-9 (DE-588)4705164-4 (DE-588)4113937-9 |
| title | Radii of convex bodies |
| title_auth | Radii of convex bodies |
| title_exact_search | Radii of convex bodies |
| title_full | Radii of convex bodies René Brandenberg |
| title_fullStr | Radii of convex bodies René Brandenberg |
| title_full_unstemmed | Radii of convex bodies René Brandenberg |
| title_short | Radii of convex bodies |
| title_sort | radii of convex bodies |
| topic | Konvexer Körper (DE-588)4165214-9 gnd Körper konstanter Breite (DE-588)4164423-2 gnd Radius (DE-588)4451175-9 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd |
| topic_facet | Konvexer Körper Körper konstanter Breite Radius Geometrische Ungleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010108216&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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