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https://ah.lib.nccu.edu.tw/handle/140.119/87369| 題名: | 一個組合等式的證明 A Proof of Combinatorial Identity |
作者: | 陳建霖 Chen, Chien-Lin |
貢獻者: | 李陽明 Li, Young-Ming 陳建霖 Chen, Chien-Lin |
關鍵詞: | 對射函數 組合等式 |
日期: | 1996 | 上傳時間: | 28-Apr-2016 | 摘要: | 在這篇論文中，我們主要是研究一個組合等式如下：∑_(i=0)^n▒∑_(j=0)^i▒〖C(n,i)C(n+1,j)=?〗 In this paper, we will mainly study a combinatorial identity, as the following：∑_(i=0)^n▒∑_(j=0)^i▒〖C(n,i)C(n+1,j)=?〗. When solving this identity, we will not use common calculation. Instead, we will build a method of bijective function in order to obtain the solution to the above identity. |
參考文獻: | [1] A. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984.\r\n[2] C. L. Lin, Introduction to Combinatorial mathematics, .N1cGrawHill, New York, 1968.\r\n[3] D. Cohen, Basic Techniques of Combinatorial Theory, John Wiley & Sons, New York, 1978.\r\n[4] F. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N. J. , 1984.\r\n[5] M. Jantzen, Confluent String Rewriting, Springer-Verlag, New York, 1988.\r\n[6] R. P. Grimaldi, Discrete and Combinatorial Mathematics, Third Edition, Addison-Wesley, 1994.\r\n[7] R. Bogart, Introductory Combinatorics, North Holland, New York, 1984. | 描述: | 碩士 國立政治大學 應用數學系 83751008 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#B2002002894 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
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