Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/85494| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 李陽明 | zh_TW |
| dc.contributor.author | 邱明哲 | zh_TW |
| dc.contributor.author | Chiu, Min-Che | en_US |
| dc.creator | 邱明哲 | zh_TW |
| dc.creator | Chiu, Min-Che | en_US |
| dc.date | 2000 | en_US |
| dc.date.accessioned | 2016-04-18T08:31:39Z | - |
| dc.date.available | 2016-04-18T08:31:39Z | - |
| dc.date.issued | 2016-04-18T08:31:39Z | - |
| dc.identifier | A2002001736 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/85494 | - |
| 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 | 87751012 | zh_TW |
| dc.description.abstract | In this thesis, we use Mathematical Induction to give a direct proof to show the numbers of binary trees with nodes and nonnegative sequences with terms are the same. | en_US |
| dc.description.tableofcontents | 封面頁\r\n證明書\r\n論文摘要\r\n目錄\r\n1. Introduction\r\n1.1 Catalan number\r\n1.2 Nonnegative sequences with terms and its properties\r\n1.3 Sub-nonnegative sequences and its properties\r\n2. Function Definition\r\n2.1 Function construction\r\n2.2 Examples\r\n3. Proof\r\n3.1 The function is well-defined\r\n3.2 The function is injective\r\n3.3 The function is surjective\r\n3.4 Examples\r\nReference | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#A2002001736 | en_US |
| dc.subject | Combinatorics | en_US |
| dc.title | A Bijective Proof from Binary trees to Nonnegative sequences | en_US |
| dc.type | thesis | en_US |
| dc.relation.reference | Reference\r\n[1] F. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N.J., 1984.\r\n[2] John G. Michael and Kenneth H. Rosen, Applications Of Discrete Mathematics, McGraw-Hill, 1992.\r\n[3] K. Bogart, Introductory Combinatorics, Harcourt, Brace, Jovanovich, New York, 1990.\r\n[4] L. Comptet, Advanced Combinatorics, D. Reidel, Boston, 1974. | 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 | |
|---|---|---|---|
| index.html | 115 B | HTML2 | View/Open |
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