1.

Record Nr.

UNINA9910709997803321

Autore

Hendricks E. L (Ernest LeRoy), <1909->

Titolo

Compilation of records of surface waters of the United States, October 1950 to September 1960 . Part 14 Pacific Slope basins in Oregon and lower Columbia River Basin / / prepared under the direction of E. L. Hendricks

Pubbl/distr/stampa

[Washington, D.C.] : , : United States Department of the Interior, Geological Survey, , 1963

Washington : , : United States Government Printing Office

Descrizione fisica

1 online resource (xi, 327 pages, 1 page of plates) : illustrations, map

Collana

Geological Survey water-supply paper ; ; 1738

Soggetti

Stream measurements - Columbia River Watershed

Stream measurements - Oregon

Stream measurements

Oregon

United States Columbia River Watershed

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.



2.

Record Nr.

UNINA9910818805703321

Autore

Welsh Trevor A (Trevor Alan), <1963->

Titolo

Fermionic expressions for minimal model Virasoro characters / / Trevor A. Welsh

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2005]

©2005

ISBN

1-4704-0428-1

Descrizione fisica

1 online resource (176 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 827

Classificazione

31.30

Disciplina

510 s

511/.62

Soggetti

Combinatorial enumeration problems

Lie algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 175, number 827 (third of 4 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 159-160).

Nota di contenuto

""Contents""; ""1. Prologue""; ""1.1. Introduction""; ""1.2. Structure of this paper""; ""1.3. Continued fractions""; ""1.4. Fermionic character expressions""; ""1.5. The Takahashi and string lengths""; ""1.6. Takahashi trees""; ""1.7. Takahashi tree vectors""; ""1.8. Truncated Takahashi tree""; ""1.9. The linear term""; ""1.10. The constant term""; ""1.11. The quadratic term""; ""1.12. The mn-system and the parity vector""; ""1.13. The extra term""; ""1.14. Finitized fermionic expressions""; ""1.15. Fermionic-like expressions""; ""2. Path combinatorics""; ""2.1. Outline of proof""

""2.2. The band structure""""2.3. Weighting function""; ""2.4. Winged generating functions""; ""2.5. Striking sequence of a path""; ""2.6. Path parameters""; ""2.7. Scoring generating functions""; ""2.8. A seed""; ""2.9. Partitions""; ""3. The B-transform""; ""3.1. Path-dilation: the B[sub(1)]-transform""; ""3.2. Particle insertion: the B[sub(2)]-transform""; ""3.3. Particle moves""; ""3.4. The B[sub(3)]-transform""; ""3.5. Particle content of a path""; ""4. The D-transform""; ""4.1. The pure D-transform""; ""4.2. The BD-pair""; ""5. Mazy runs""; ""5.1. The passing sequence""

""5.2. The passing function""""5.3. Transforming the passing function""; ""5.4. Mazy runs in the original weighting""; ""6. Extending and



truncating paths""; ""6.1. Extending paths""; ""6.2. Truncating paths""; ""7. Generating the fermionic expressions""; ""7.1. Runs and the core result""; ""7.2. Induction parameters""; ""7.3. The induction""; ""7.4. Transferring to the original weighting""; ""7.5. The other direction""; ""7.6. The mn-system""; ""8. Collating the runs""; ""8.1. Pulling the drawstrings""; ""8.2. Constraints of the Takahashi tree""; ""8.3. Gathering in the Takahashi tree""