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[null,"1.","Record Nr.",null,"UNINA9910273526203321"]
[null,null,"Titolo",null,"Business New Hampshire magazine : BNH"]
[null,null,"Pubbl/distr/stampa",null,"Manchester, NH, : Laurentian Business Pub., c1989-"]
[null,null,"Descrizione fisica",null,"v. : ill. ; ; 28 cm"]
[null,null,"Disciplina",null,"650/.05"]
[null,null,"Soggetti",null,"Business enterprises - New Hampshire"]
[{"$nulls":4},"Business enterprises"]
[{"$nulls":4},"Commerce"]
[{"$nulls":4},"Periodicals."]
[{"$nulls":4},"New Hampshire Commerce Periodicals"]
[{"$nulls":4},"New Hampshire"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Periodico"]
[null,null,null,"Note generali","Title from cover."]
[null,"2.","Record Nr.",null,"UNINA9910467635303321"]
[null,null,"Titolo",null,"Complexity theory and language development : in celebration of Diane Larsen-Freeman / / edited by Lourdes Ortega, ZhaoHong Han"]
[null,null,"Pubbl/distr/stampa",null,"Amsterdam, [Netherlands] ; ; Philadelphia, [Pennsylvania] : , : John Benjamins Publishing Company, , 2017"]
[{"$nulls":4},"©2017"]
[null,null,"Descrizione fisica",null,"1 online resource (252 pages) : illustrations (some color), tables"]
[null,null,"Collana",null,"Language Learning and Language Teaching, , 1569-9471 ; ; Volume 48"]
[null,null,"Disciplina",null,"410"]
[null,null,"Soggetti",null,"Complexity (Linguistics)"]
[{"$nulls":4},"Language acquisition - Study and teaching"]
[{"$nulls":4},"Language and languages - Study and teaching"]
[{"$nulls":4},"Discourse analysis"]
[{"$nulls":4},"Linguistic analysis (Linguistics)"]
[{"$nulls":4},"Education - Philosophy"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters and index."]
[null,"3.","Record Nr.",null,"UNINA9910970102003321"]
[null,null,"Autore",null,"D'Adderio Michele"]
[null,null,"Titolo",null,"Decorated Dyck Paths, Polyominoes, and the Delta Conjecture"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2022"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9781470471705"]
[{"$nulls":4},"1470471701"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (138 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.278"]
[null,null,"Classificazione",null,"05E05"]
[null,null,"Disciplina",null,"511/.6"]
[{"$nulls":4},"511.6"]
[null,null,"Soggetti",null,"Combinatorial analysis"]
[{"$nulls":4},"Symmetric functions"]
[{"$nulls":4},"Combinatorics -- Algebraic combinatorics -- Symmetric functions and generalizations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Cover -- Title page -- Introduction -- Acknowledgments -- Part 1. Definitions and results -- Chapter 1. Background and definitions -- 1.1. Symmetric and quasisymmetric functions -- 1.2. Combinatorial definitions -- Chapter 2. Conjectures -- 2.1. The Delta conjecture -- 2.2. The generalised Delta conjecture -- 2.3. Our conjecture with \\pmaj -- 2.4. Our conjecture with polyominoes -- 2.5. Our square conjecture -- Chapter 3. Our results -- 3.1. A decorated  , -Schröder -- 3.2. A decorated  , -Narayana -- 3.3. Links with the Delta conjecture -- 3.4. A symmetry result -- 3.5. A new  , -square -- 3.6. Symmetric functions identities -- 3.7. A few open problems -- Part 2. Proofs -- Chapter 4. Symmetric functions -- 4.1. Basic identities -- 4.2. A summation formula -- 4.3. Three families of plethystic formulae -- 4.4. Another symmetric function identity -- 4.5. Two theorems and a corollary -- 4.6. Δ_{ } ( _{ }) at  =1/ -- Chapter 5. Combinatorics of decorated Dyck paths -- 5.1. Haglund's   (sweep) map -- 5.2. The   map exchanging peaks and falls -- 5.3. Combinatorial recursions -- Chapter 6. Combinatorics of polyominoes -- 6.1. Parallelogram polyominoes -- 6.2. Reduced polyominoes -- 6.3. Two car parking functions -- 6.4. Partially labelled Dyck paths -- 6.5. A new \\dinv statistic on parallelogram polyominoes -- 6.6. A \\bounce statistic on partially labelled Dyck paths -- Chapter 7. Putting the pieces together "]
[{"$nulls":4},"-- 7.1. Combinatorial interpretations of plethystic formulae -- 7.2. Proof of the decorated  , -Schröder -- 7.3. Proof of the decorated  , -Narayana -- Chapter 8. Square paths -- 8.1. A new  , -square -- 8.2. Observations when  =1/ -- Appendix A. Proof of the elementary lemmas -- Bibliography -- Back Cover."]
[null,null,null,"Sommario/riassunto","\"We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund (\"A proof of the Schroder conjecture\", 2004) and Aval et al. (\"Statistics on parallelogram polyominoes and a analogue of the Narayana numbers\", 2014). This settles in particular the cases and of the Delta conjecture of Haglund, Remmel and Wilson (\"The delta conjecture\", 2018). Along the way, we introduce some new statistics, formulate some new conjectures, prove some new identities of symmetric functions, and answer a few open problems in the literature (e.g., from Aval, Bergeron and Garsia [2015], Haglund, Remmel and Wilson [2018], and Zabrocki [2019]). The main technical tool is a new identity in the theory of Macdonald polynomials that extends a theorem of Haglund in \"A proof of the Schroder conjecture\" (2004)\"--"]