02274nam 2200553 450 991078861350332120180731043852.00-8218-9916-3(CKB)3360000000464033(EBL)3113684(SSID)ssj0000973452(PQKBManifestationID)11527857(PQKBTitleCode)TC0000973452(PQKBWorkID)10978853(PQKB)11683609(MiAaPQ)EBC3113684(RPAM)1246860(PPN)195410033(EXLCZ)99336000000046403320720602d1972 uy| 0engur|n|---|||||txtccrOrdered structures and partitions /by Richard P. StanleyProvidence :American Mathematical Society,1972.1 online resource (114 p.)Memoirs of the American Mathematical Society ;number 119A revision of the author's thesis, Harvard.0-8218-1819-8 Includes bibliographical references.""TABLE OF CONTENTS""; ""CHAPTER I. (P,Ï?m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,Ï?m)-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,Ï?)""; ""9. The numbers α(P,Ï?S) and B(P,Ï?S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,Ï?)-Eulerian numbers""Memoirs of the American Mathematical Society ;number 119.Combinatorial analysisPartitions (Mathematics)Euler's numbersCombinatorial analysis.Partitions (Mathematics)Euler's numbers.511/.6Stanley Richard P.1944-55697MiAaPQMiAaPQMiAaPQBOOK9910788613503321Ordered structures and partitions3796182UNINA