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006			m o d |
007			cr cnu||||||||
008			240724s1972 xx o ||||0 eng d
020			_a9780821899168 _q(electronic bk.)
020			_z9780821818190
035			_a(MiAaPQ)EBC3113684
035			_a(Au-PeEL)EBL3113684
035			_a(CaPaEBR)ebr10882343
035			_a(OCoLC)852965248
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA164 -- .S73 1972eb
082	0		_a510/.8 s;511/.6
100	1		_aStanley, Richard.
245	1	0	_aOrdered Structures and Partitions.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1972.
264		4	_c©1972.
300			_a1 online resource (114 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.1
505	0		_aIntro -- TABLE OF CONTENTS -- CHAPTER I. (P,ωm)-PARTITIONS -- 1. Introduction -- 2. Basic definitions -- 3. Generating functions for (P,ωm)-partitions -- 4. Distributive lattices -- 5. The form of the generating functions -- 6. The theory of w-separators -- 7. Generating functions in terms of ^-separators . -- 8. The polynomials W[sub(s)] (P,ω) -- 9. The numbers α(P,ωS) and B(P,ωS) -- 10. The reciprocity theorem -- 11. An application to r-dimensional partitions -- 12. Operations on ordered sets -- 13. The order polynomial and (P ,ω)-Eulerian numbers -- CHAPTER II. NATURAL LABELINGS -- 14. A Möbius-theoretic interpretation of B(S) -- 15. Some properties of B(P -- S) -- 16. The extreme-value theorem -- 17. Numerology of W[sub(S)] (P) and U[sub(m)] (P) -- 18. Chain conditions -- 19. Properties of Ω(m) -- CHAPTER III. APPLICATIONS -- 20. Some remarks on infinite P -- 21. Plane partitions -- 22. Trees -- 23. Stacks and V-partitions -- 24. Protruded partitions -- 25. Permutations -- REFERENCES.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aCombinatorial analysis.
650		0	_aPartitions (Mathematics).
650		0	_aEuler''s numbers.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aStanley, Richard _tOrdered Structures and Partitions _dProvidence : American Mathematical Society,c1972 _z9780821818190
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113684 _zClick to View
999			_c69217 _d69217