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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/88728
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/88728


    Title: 錯排列的對射證明
    A Bijective Proof of Derangements
    Authors: 洪聰於
    Horng, Tsong Yu
    Contributors: 李陽明
    Lee, Young Ming
    洪聰於
    Horng, Tsong Yu
    Keywords: 錯排列
    遞迴關係
    生成函數
    1-1且映成(對射)
    derangements
    recurrence relation
    generating function
    bijective
    Date: 1994
    Issue Date: 2016-04-29 16:32:04 (UTC+8)
    Abstract:   關於錯排列(Derangements)│D<sub>n</sub>│=n│D<sub>n-1</sub>│+(-1)<sup>n</sup> 的證明可用代數方法證出,甚至│D<sub>n</sub>│的個數亦可由生成函數求出,因此我們希望能藉用更直接的觀點加以探討和證明,並找出彼此的對應。
    Description: 碩士
    國立政治大學
    應用數學系
    80155007
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002003896
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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