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dc.contributor.author吳欣烈en_US
dc.contributor.authorWu, Hsin-Liehen_US
dc.contributor.author翁志文en_US
dc.date.accessioned2015-11-26T00:55:53Z-
dc.date.available2015-11-26T00:55:53Z-
dc.date.issued2015en_US
dc.identifier.urihttp://140.113.39.130/cdrfb3/record/nctu/#GT079822527en_US
dc.identifier.urihttp://hdl.handle.net/11536/126074-
dc.description.abstract有許多的離散數學的結構可由凱特蘭數作計算。現今,有許多有關於凱特蘭數的延伸應用在討論研究著,例如說那羅延數及默辭金數。在本文章中,我們收集四個與凱特蘭數有關的組合問題,並介紹其推導過程。其他與凱特蘭數相關的數也被討論。zh_TW
dc.description.abstractThere are many combinatorial structures counted by Catalan numbers. So far, many other applications relative to Catalan numbers are discussed, such as Narayana numbers and Motzkin numbers. In this thesis, we collect four combinatorial problems whose solutions with Catalan numbers involved. Some other numbers related to Catalan numbers are also investigated.en_US
dc.language.isoen_USen_US
dc.subject凱特蘭數zh_TW
dc.subject生成函數zh_TW
dc.subject那羅延數zh_TW
dc.subject默辭金數zh_TW
dc.subjectCatalan Numbersen_US
dc.subjectGenerating functionen_US
dc.subjectNarayana numbersen_US
dc.subjectMotzkin Numbersen_US
dc.title凱特蘭數及其他相關數zh_TW
dc.titleCatalan Numbers and Their Relative Numbersen_US
dc.typeThesisen_US
dc.contributor.department應用數學系所zh_TW
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