The decomposition of figures into smaller parts: Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Chicago
Univ. of Chicago Press
1980
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| Series: | Popular lectures in mathematics.
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | EST: Razbienie figur na menšie ĉasti (engl.) |
| Physical Description: | 74 S. graph. Darst. |
| ISBN: | 0226063577 |
Staff View
MARC
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| adam_text | Titel: The decomposition of figures into smaller parts
Autor: Boltjanskij, Vladimir G
Jahr: 1980
Contents Preface vi 1. Division of Figures into Pieces of Smaller Diameter I 1.1. The Diameter of a Figure I 1.2. Formulation of the Problem 3 1.3. Borsuk’s Theorem 4 1.4. Convex Figures 7 1.5. Figures of Constant Width 12 1.6. Embedding in a Figure of Constant Width 14 1.7. For Which Figures is a{F) = 3? 19 2. Division of Figures in the Minkowski Plane 26 2.1. A Graphic Example 26 2.2. The Minkowski Plane 28 2.3. Borsuk’s Problem in Minkowski Planes 34 3. The Covering of Convex Figures by Reduced Copies 40 3.1. Formulation of the Problem 40 3.2. Another Formulation of the Problem 41 3.3. Solution of the Covering Problem 42 3.4. Proof of Theorem 2.2 52 4. The Problem of Illumination 55 4.1. Formulation of the Problem 55 4.2. Solution of the Problem of Illumination 57 4.3. The Equivalence of the Last Two Problems 58 4.4. Division and Illumination of Unbounded Convex Figures 63 Remarks 66
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| any_adam_object | 1 |
| author | Boltjanskij, Vladimir G. 1925-2019 Gohberg, Yiśrāʿēl Z. 1928-2009 |
| author_GND | (DE-588)122968050 (DE-588)118915878 |
| author_facet | Boltjanskij, Vladimir G. 1925-2019 Gohberg, Yiśrāʿēl Z. 1928-2009 |
| author_role | aut aut |
| author_sort | Boltjanskij, Vladimir G. 1925-2019 |
| author_variant | v g b vg vgb y z g yz yzg |
| building | Verbundindex |
| bvnumber | BV003378707 |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)632008263 (DE-599)BVBBV003378707 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:59:00Z |
| institution | BVB |
| isbn | 0226063577 |
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| physical | 74 S. graph. Darst. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Univ. of Chicago Press |
| record_format | marc |
| series2 | Popular lectures in mathematics. |
| spelling | Boltjanskij, Vladimir G. 1925-2019 Verfasser (DE-588)122968050 aut The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson Vladimir G. Boltjanskij ; Izrail' C. Gochberg* Chicago Univ. of Chicago Press 1980 74 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Popular lectures in mathematics. EST: Razbienie figur na menšie ĉasti (engl.) Kombinatorische Geometrie (DE-588)4140733-7 gnd rswk-swf Kombinatorische Geometrie (DE-588)4140733-7 s DE-604 Gohberg, Yiśrāʿēl Z. 1928-2009 Verfasser (DE-588)118915878 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002135041&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boltjanskij, Vladimir G. 1925-2019 Gohberg, Yiśrāʿēl Z. 1928-2009 The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson Kombinatorische Geometrie (DE-588)4140733-7 gnd |
| subject_GND | (DE-588)4140733-7 |
| title | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson |
| title_auth | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson |
| title_exact_search | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson |
| title_full | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson Vladimir G. Boltjanskij ; Izrail' C. Gochberg* |
| title_fullStr | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson Vladimir G. Boltjanskij ; Izrail' C. Gochberg* |
| title_full_unstemmed | The decomposition of figures into smaller parts Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson Vladimir G. Boltjanskij ; Izrail' C. Gochberg* |
| title_short | The decomposition of figures into smaller parts |
| title_sort | the decomposition of figures into smaller parts transl and adapted from the russian by henry christoffers and thomas p branson |
| title_sub | Transl. and adapted from the Russian by Henry Christoffers and Thomas P.Branson |
| topic | Kombinatorische Geometrie (DE-588)4140733-7 gnd |
| topic_facet | Kombinatorische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002135041&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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