Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/111782


Title: 一個卡特蘭等式的組合證明
A Combinatorial Proof of a Catalan Identity
Authors: 劉映君
Contributors: 李陽明
劉映君
Keywords: 卡特蘭等式
Catalan Identity
Date: 2017
Issue Date: 2017-08-10 09:57:57 (UTC+8)
Abstract: 在這篇論文裡,我們探討卡塔蘭等式 (n + 2)Cn+1 = (4n + 2)C2 的證明
方法。以往都是用計算的方式來呈現卡塔蘭等式的由來,但我們選擇用組合
的方法來證明卡塔蘭等式。
這篇論文主要是應用 Cn+1 壞路徑對應到打點 Cn 好路徑以及 Cn+1 好路
徑對應到打點 Cn 壞路徑的⽅式來證明卡特蘭等式。
In this thesis, we give another approach to prove Catalan identity,
(n + 2)Cn+1 = (4n + 2)C2. In the past we use the method of computation to show Catalan Identity, in this thesis we choose a combinatorial proof of the Catalan identity.
This thesis is primary using the functions from Cn+1 totally bad path to Cn dotted good path, and from Cn+1 good path to Cn dotted totally bad path.
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Description: 碩士
國立政治大學
應用數學系
103751014
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0103751014
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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