Regular Dirichlet-Voronoĭ partitions for the second triclinic group:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence ; Rhode Island
American Mathematical Society
1975
|
| Series: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
Number 123 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russischen übersetzt |
| Physical Description: | iii, 116 Seiten Illustrationen |
| ISBN: | 0821830236 |
Staff View
MARC
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| 240 | 1 | 0 | |a Pravil'nye razbienija Dirichle-Voronogo dlja vtoroj triklinnoj gruppy |
| 245 | 1 | 0 | |a Regular Dirichlet-Voronoĭ partitions for the second triclinic group |c by M. I. Štogrin |
| 264 | 1 | |a Providence ; Rhode Island |b American Mathematical Society |c 1975 | |
| 300 | |a iii, 116 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |v Number 123 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 7 | |a Corps convexe |2 fourier | |
| 650 | 7 | |a Corps convexes |2 ram | |
| 650 | 7 | |a Partitions (mathématiques) |2 ram | |
| 650 | 7 | |a Partitions |2 fourier | |
| 650 | 7 | |a Polyèdre |2 fourier | |
| 650 | 7 | |a Polyèdres |2 ram | |
| 650 | 0 | 7 | |a Polyeder |0 (DE-588)4132101-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konvexer Körper |0 (DE-588)4165214-9 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
IN THE ACADEMY OF SCIENCES OF THE USSR
(Tpyflbi MaTeMaTimecKoro MHCTHTyTa mm. B. A. OreKJioBa, t. CXXIII, 1973)
TABLE OF CONTENTS
Page
Introduction 1
Chapter I. The Delone Sandakova method 4
§1. Basic concepts, definitions and the problem 4
§2. Delone s theorem (the fundamental theorem of the theory of stereo
hedra) 6
§3. The empty ball method 9
§4. Dirichlet Voronof partitions 11
§5. A theorem of Sandrakova 12
§6. The reduced region of the parameter space of the problem 19
§7. The condition of emptiness of the ball 26
§8. Determination of the stars LA and phase regions for them 27
Chapter II. Investigation of all the Delone kinds of Dirichlet Voronof partition for
the second triclinic group 33
§1. The method of white faces 33
§2. The 102 types of dissection of 3 dimensional parallelohedra 36
§3. The parameter space of a bilattice 45
§4. Regions of dissection type 47
§5. Zippers. Response of zippers 49
§6. Meetings of stereohedra in an edge 52
§7. Partition of a region of dissection type into regions of Delone kinds of
partition {5} 56
§8. Conditional stereohedra 58
§9. Determination of the complete set of conditional stereohedra for a given
region A of dissection type 61
§10. Derivation of all general partitions {S} for the group PI 62
Stereohedra S for the group PI 81
Bibliography 115
iii
|
| any_adam_object | 1 |
| author | Štogrin, Michail Ivanovič 1938- |
| author_GND | (DE-588)1070879215 |
| author_facet | Štogrin, Michail Ivanovič 1938- |
| author_role | aut |
| author_sort | Štogrin, Michail Ivanovič 1938- |
| author_variant | m i š mi miš |
| building | Verbundindex |
| bvnumber | BV001963024 |
| classification_rvk | SI 700 |
| ctrlnum | (OCoLC)610662316 (DE-599)BVBBV001963024 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001963024 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:00Z |
| institution | BVB |
| isbn | 0821830236 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001280191 |
| oclc_num | 610662316 |
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| physical | iii, 116 Seiten Illustrationen |
| psigel | TUB-nb |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| series2 | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics |
| spelling | Štogrin, Michail Ivanovič 1938- (DE-588)1070879215 aut Pravil'nye razbienija Dirichle-Voronogo dlja vtoroj triklinnoj gruppy Regular Dirichlet-Voronoĭ partitions for the second triclinic group by M. I. Štogrin Providence ; Rhode Island American Mathematical Society 1975 iii, 116 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Number 123 Aus dem Russischen übersetzt Corps convexe fourier Corps convexes ram Partitions (mathématiques) ram Partitions fourier Polyèdre fourier Polyèdres ram Polyeder (DE-588)4132101-7 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 s DE-604 Polyeder (DE-588)4132101-7 s Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Number 123 (DE-604)BV000009943 123 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280191&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Štogrin, Michail Ivanovič 1938- Regular Dirichlet-Voronoĭ partitions for the second triclinic group Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics Corps convexe fourier Corps convexes ram Partitions (mathématiques) ram Partitions fourier Polyèdre fourier Polyèdres ram Polyeder (DE-588)4132101-7 gnd Konvexer Körper (DE-588)4165214-9 gnd |
| subject_GND | (DE-588)4132101-7 (DE-588)4165214-9 |
| title | Regular Dirichlet-Voronoĭ partitions for the second triclinic group |
| title_alt | Pravil'nye razbienija Dirichle-Voronogo dlja vtoroj triklinnoj gruppy |
| title_auth | Regular Dirichlet-Voronoĭ partitions for the second triclinic group |
| title_exact_search | Regular Dirichlet-Voronoĭ partitions for the second triclinic group |
| title_full | Regular Dirichlet-Voronoĭ partitions for the second triclinic group by M. I. Štogrin |
| title_fullStr | Regular Dirichlet-Voronoĭ partitions for the second triclinic group by M. I. Štogrin |
| title_full_unstemmed | Regular Dirichlet-Voronoĭ partitions for the second triclinic group by M. I. Štogrin |
| title_short | Regular Dirichlet-Voronoĭ partitions for the second triclinic group |
| title_sort | regular dirichlet voronoi partitions for the second triclinic group |
| topic | Corps convexe fourier Corps convexes ram Partitions (mathématiques) ram Partitions fourier Polyèdre fourier Polyèdres ram Polyeder (DE-588)4132101-7 gnd Konvexer Körper (DE-588)4165214-9 gnd |
| topic_facet | Corps convexe Corps convexes Partitions (mathématiques) Partitions Polyèdre Polyèdres Polyeder Konvexer Körper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001280191&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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