Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/87368| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 李陽明 | zh_TW |
| dc.contributor.advisor | Li, Young-Ming | en_US |
| dc.contributor.author | 李英杰 | zh_TW |
| dc.contributor.author | Lee, Ing-Jye | en_US |
| dc.creator | 李英杰 | zh_TW |
| dc.creator | Lee, Ing-Jye | en_US |
| dc.date | 1996 | en_US |
| dc.date.accessioned | 2016-04-28T05:30:01Z | - |
| dc.date.available | 2016-04-28T05:30:01Z | - |
| dc.date.issued | 2016-04-28T05:30:01Z | - |
| dc.identifier | B2002002893 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/87368 | - |
| dc.description | 碩士 | zh_TW |
| dc.description | 國立政治大學 | zh_TW |
| dc.description | 應用數學系 | zh_TW |
| dc.description | 83751010 | zh_TW |
| dc.description.abstract | 本文的主旨是利用對射函數的方法,證明圓周上2n個點成功配對問題的解是Catalan數.所以必須找一個也是Catalan數的事物來和本問題對應,這裡找的是n個節點的二元數.我們先造一個由成功配對應射到二元數的函數,再證明此函數是一對一且映成,既為對射函數,則我們就可以知道成功配對的解是Catalan數.然後再將問題推廣到3n個點,甚至到kn個點的情形,以得到一般的問題解. | zh_TW |
| dc.description.tableofcontents | 第一章緒論..........1\r\n第一節前言..........1\r\n第二節文章的架構..........2\r\n第三節利用生成函數解問題..........2\r\n第二章對射函數之證明法..........5\r\n第一節對射函數的建立..........5\r\n第二節函數的證明..........7\r\n第三節成功配對問題的解..........10\r\n第三章問題的推廣..........11\r\n第一節推廣問題的推測..........11\r\n第二節對射函數的建立..........13\r\n第三節函數的證明..........15\r\n第四章結論..........20\r\n第一節結論的假設..........20\r\n第二節對射函數的建立..........20\r\n第三節函數的證明..........23\r\n參考文獻..........30 | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002002893 | en_US |
| dc.subject | 生成函數 | zh_TW |
| dc.subject | 對射函數 | zh_TW |
| dc.subject | 二元樹 | zh_TW |
| dc.subject | Catalan數(族) | zh_TW |
| dc.subject | Catalan number | en_US |
| dc.title | Catalan數的對射證明 | zh_TW |
| dc.title | A Bijective Proof of Catalan Number | en_US |
| dc.type | thesis | en_US |
| dc.relation.reference | [1] C. Berge, (1971), Principles of Combinatorics, Academic\r\nPress,New York.\r\n[2] Ri chard A. Brualdi, (1977),Introductory Combinatorics, New York,Elsevier Science Publishing Co. ,Inc.\r\n[3] Ronald L.Graham,Donald E.Knuth,Oren Patashnik,(19S9),\r\nConcrete Mathematics, Addison-Wesley Publ ishing Co. , Inc.\r\n[4] Ralph P. Grimaldi, (1985) ,Discrete and Combinat0l1al\r\nMathematics,Addison-Wesley Publishing Co., Inc.\r\n[5] Marshall Jr. Hall (1967), Combinatorial Theory, Blaisde11, Waltham, Massachusetts.\r\n[6] C.L.Liu, (1968) ,Introduction to Combinatorial Mathematics, McGraw-Hi11, New York.\r\n[7] John Riordan, ( 1 980) , An Introduction to Combinatorial Analysis, Princeton University Press,Princeton,New Jersey. | zh_TW |
| item.fulltext | With Fulltext | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
| item.cerifentitytype | Publications | - |
| item.grantfulltext | open | - |
| item.openairetype | thesis | - |
| Appears in Collections: | 學位論文 | |
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| File | Size | Format | |
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| index.html | 115 B | HTML2 | View/Open |
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