Ordered structures and partitions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1972
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
119 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | III, 104 S. |
Internformat
MARC
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| 650 | 4 | |a Intégrales eulériennes | |
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
CHAPTER
Page
I. (P,oj;m) PARTITIONS
1. Introduction 1
2. Basic definitions 2
3. Generating functions for (P,u;m) partitions .... 7
4. Distributive lattices 9
5. The form of the generating functions 10
6. The theory of oj separators 14
7. Generating functions in terms of io separators ... 20
3. The polynomials Wg(P,(o) 22
9. The numbers a(P,u;S) and B(P,to;S) 25
10. The reciprocity theorem 29
11. An application to r dimensional partitions 33
12. Operations on ordered sets 35
13. The order polynomial and (P,u) Eulerian numbers . . 43
II. NATURAL LABELINGS
14. A Mobius theoretic interpretation of 6(S) 49
15. Some properties of g(P;S) 51
16. The extreme value theorem 54
17. Numerology of W (P) and U (P) 62
18. Chain conditions 6 4
19. Properties of fi(m) 73
III. APPLICATIONS
20. Some remarks on infinite P 77
21. Plane partitions 79
22. Trees 83
23. Stacks and V partitions 85
24. Protruded partitions 93
25. Permutations 96
REFERENCES 102
|
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| author | Stanley, Richard P. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics 510 - Mathematics |
| dewey-raw | 511/.6 510/.8 |
| dewey-search | 511/.6 510/.8 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| language | English |
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| physical | III, 104 S. |
| publishDate | 1972 |
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| spelling | Stanley, Richard P. Verfasser aut Ordered structures and partitions Richard P. Stanley Providence, RI American Mathematical Society 1972 III, 104 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 119 Zugl.: Harvard, Univ., Diss., 1971 Analyse combinatoire Intégrales eulériennes Partitions (Mathématiques) Combinatorial analysis Euler's numbers Partitions (Mathematics) Geordnete algebraische Struktur (DE-588)4156743-2 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Struktur (DE-588)4058125-1 gnd rswk-swf Geordnete Gruppe (DE-588)4156745-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Geordnete algebraische Struktur (DE-588)4156743-2 s DE-604 Zerlegung Mathematik (DE-588)4190746-2 s Geordnete Gruppe (DE-588)4156745-6 s Struktur (DE-588)4058125-1 s Memoirs of the American Mathematical Society 119 (DE-604)BV008000141 119 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003566550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stanley, Richard P. Ordered structures and partitions Memoirs of the American Mathematical Society Analyse combinatoire Intégrales eulériennes Partitions (Mathématiques) Combinatorial analysis Euler's numbers Partitions (Mathematics) Geordnete algebraische Struktur (DE-588)4156743-2 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Struktur (DE-588)4058125-1 gnd Geordnete Gruppe (DE-588)4156745-6 gnd |
| subject_GND | (DE-588)4156743-2 (DE-588)4190746-2 (DE-588)4058125-1 (DE-588)4156745-6 (DE-588)4113937-9 |
| title | Ordered structures and partitions |
| title_auth | Ordered structures and partitions |
| title_exact_search | Ordered structures and partitions |
| title_full | Ordered structures and partitions Richard P. Stanley |
| title_fullStr | Ordered structures and partitions Richard P. Stanley |
| title_full_unstemmed | Ordered structures and partitions Richard P. Stanley |
| title_short | Ordered structures and partitions |
| title_sort | ordered structures and partitions |
| topic | Analyse combinatoire Intégrales eulériennes Partitions (Mathématiques) Combinatorial analysis Euler's numbers Partitions (Mathematics) Geordnete algebraische Struktur (DE-588)4156743-2 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Struktur (DE-588)4058125-1 gnd Geordnete Gruppe (DE-588)4156745-6 gnd |
| topic_facet | Analyse combinatoire Intégrales eulériennes Partitions (Mathématiques) Combinatorial analysis Euler's numbers Partitions (Mathematics) Geordnete algebraische Struktur Zerlegung Mathematik Struktur Geordnete Gruppe Hochschulschrift |
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