Regular Dirichlet-Voronoĭ partitions for the second triclinic group:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch Russisch |
| Veröffentlicht: |
Providence ; Rhode Island
American Mathematical Society
1975
|
| Schriftenreihe: | Matematičeskij Institut Imeni V. A. Steklova <Moskva>: Proceedings of the Steklov Institute of Mathematics
Number 123 |
| Schlagwörter: | |
| Links: | 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 |
| Beschreibung: | Aus dem Russischen übersetzt |
| Umfang: | iii, 116 Seiten Illustrationen |
| ISBN: | 0821830236 |
Internformat
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 |
| 689 | 0 | 0 | |a Konvexer Körper |0 (DE-588)4165214-9 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-001280191 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 A 969-123 |
|---|---|
| DE-BY-TUM_katkey | 165267 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020549546 |
| _version_ | 1821939738901217282 |
| 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 | 2024-12-20T07:43:56Z |
| institution | BVB |
| isbn | 0821830236 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001280191 |
| oclc_num | 610662316 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-29T DE-83 DE-188 |
| 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 |
| 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 |
| volume_link | (DE-604)BV000009943 |
| work_keys_str_mv | AT stogrinmichailivanovic pravilnyerazbienijadirichlevoronogodljavtorojtriklinnojgruppy AT stogrinmichailivanovic regulardirichletvoronoipartitionsforthesecondtriclinicgroup |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 A 969-123
Lageplan |
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| Exemplar 1 | Ausleihbar Am Standort |