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Title: 一個組合等式的證明
A Proof of Combinatorial Identity
Authors: 陳建霖
Chen, Chien-Lin
Contributors: 李陽明
Li, Young-Ming
Chen, Chien-Lin
Keywords: 對射函數
Date: 1996
Issue Date: 2016-04-28 13:30:03 (UTC+8)
Abstract: 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.
Reference: [1] A. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984.
[2] C. L. Lin, Introduction to Combinatorial mathematics, .N1cGrawHill, New York, 1968.
[3] D. Cohen, Basic Techniques of Combinatorial Theory, John Wiley & Sons, New York, 1978.
[4] F. Roberts, Applied Combinatorics, Prentice-Hall, Englewood Cliffs, N. J. , 1984.
[5] M. Jantzen, Confluent String Rewriting, Springer-Verlag, New York, 1988.
[6] R. P. Grimaldi, Discrete and Combinatorial Mathematics, Third Edition, Addison-Wesley, 1994.
[7] R. Bogart, Introductory Combinatorics, North Holland, New York, 1984.
Description: 碩士
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Data Type: thesis
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