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http://hdl.handle.net/11320/4873Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Pąk, Karol | pl |
| dc.date.accessioned | 2016-12-15T13:01:50Z | - |
| dc.date.available | 2016-12-15T13:01:50Z | - |
| dc.date.issued | 2015 | pl |
| dc.identifier.citation | Formalized Mathematics, Volume 23, Issue 2, 93–99 | pl |
| dc.identifier.issn | 1426-2630 | pl |
| dc.identifier.issn | 1898-9934 | pl |
| dc.identifier.uri | http://hdl.handle.net/11320/4873 | - |
| dc.description.abstract | AbstractIn this article we prove the Euler’s Partition Theorem which states that the number of integer partitions with odd parts equals the number of partitions with distinct parts. The formalization follows H.S. Wilf’s lecture notes [28] (see also [1]). Euler’s Partition Theorem is listed as item #45 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/ [27]. | pl |
| dc.language.iso | en | pl |
| dc.publisher | De Gruyter Open | pl |
| dc.subject | partition theorem | pl |
| dc.title | Euler’s Partition Theorem | pl |
| dc.type | Article | pl |
| dc.identifier.doi | 10.1515/forma-2015-0009 | pl |
| dc.description.Affiliation | Institute of Informatics, University of Białystok, Ciołkowskiego 1M, 15-245 Białystok, Poland | pl |
| dc.description.references | George E. Andrews and Kimmo Eriksson. Integer Partitions. ISBN 9780521600903. | pl |
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| dc.description.references | Marco B. Caminati. Preliminaries to classical first order model theory. Formalized Mathematics, 19(3):155-167, 2011. doi:10.2478/v10037-011-0025-2. [Crossref] | pl |
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| dc.description.references | Rafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990. | pl |
| dc.description.references | Karol Pak. Flexary operations. Formalized Mathematics, 23(2):81-92, 2015. doi:10.1515 /forma-2015-0008. [Crossref] | pl |
| dc.description.references | Karol Pak. The Nagata-Smirnov theorem. Part II. Formalized Mathematics, 12(3):385-389, 2004. | pl |
| dc.description.references | Karol Pak. Stirling numbers of the second kind. Formalized Mathematics, 13(2):337-345, 2005. | pl |
| dc.description.references | Piotr Rudnicki and Andrzej Trybulec. Abian’s fixed point theorem. Formalized Mathematics, 6(3):335-338, 1997. | pl |
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| dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569-573, 1990. | pl |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | pl |
| dc.description.references | Freek Wiedijk. Formalizing 100 theorems. | pl |
| dc.description.references | Herbert S. Wilf. Lectures on integer partitions. | pl |
| dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990. | pl |
| dc.description.references | Bo Zhang and Yatsuka Nakamura. The definition of finite sequences and matrices of probability, and addition of matrices of real elements. Formalized Mathematics, 14(3): 101-108, 2006. doi:10.2478/v10037-006-0012-1. [Crossref] | pl |
| Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2015, Volume 23, Issue 2 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| forma-2015-0009.pdf | 266,56 kB | Adobe PDF | Otwórz |
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