LEADER 02274nam 2200553 450 001 9910827786603321 005 20180731043852.0 010 $a0-8218-9916-3 035 $a(CKB)3360000000464033 035 $a(EBL)3113684 035 $a(SSID)ssj0000973452 035 $a(PQKBManifestationID)11527857 035 $a(PQKBTitleCode)TC0000973452 035 $a(PQKBWorkID)10978853 035 $a(PQKB)11683609 035 $a(MiAaPQ)EBC3113684 035 $a(RPAM)1246860 035 $a(PPN)195410033 035 $a(EXLCZ)993360000000464033 100 $a20720602d1972 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrdered structures and partitions /$fby Richard P. Stanley 210 1$aProvidence :$cAmerican Mathematical Society,$d1972. 215 $a1 online resource (114 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 119 300 $aA revision of the author's thesis, Harvard. 311 $a0-8218-1819-8 320 $aIncludes bibliographical references. 327 $a""TABLE OF CONTENTS""; ""CHAPTER I. (P,I??m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,I??m)-partitions""; ""4. Distributive lattices""; ""5. The form of the generating functions""; ""6. The theory of w-separators""; ""7. Generating functions in terms of ^-separators .""; ""8. The polynomials W[sub(s)] (P,I??)""; ""9. The numbers I?±(P,I??S) and B(P,I??S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,I??)-Eulerian numbers"" 410 0$aMemoirs of the American Mathematical Society ;$vnumber 119. 606 $aCombinatorial analysis 606 $aPartitions (Mathematics) 606 $aEuler's numbers 615 0$aCombinatorial analysis. 615 0$aPartitions (Mathematics) 615 0$aEuler's numbers. 676 $a511/.6 700 $aStanley$b Richard P.$f1944-$055697 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827786603321 996 $aOrdered structures and partitions$94026757 997 $aUNINA