Discussion of Grouping and Stirling Number

碩士 === 國立屏東大學 === 科普傳播學系數理教育碩士班 === 106 === James Stirling (1692-1770) was the first mathematician discovered the Stirling number. There are the first kind of Stirling number and the second kind of Stirling number. This article mainly introduces the recurrence of the first kind of Stirling number an...

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Main Authors: Chang, I-Fan, 張一帆
Other Authors: Wu, Chin-Tung
Format: Others
Language:zh-TW
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/59ydu8
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spelling ndltd-TW-106NPTU04760012019-05-16T00:00:45Z http://ndltd.ncl.edu.tw/handle/59ydu8 Discussion of Grouping and Stirling Number 分組問題與斯特靈數的探討 Chang, I-Fan 張一帆 碩士 國立屏東大學 科普傳播學系數理教育碩士班 106 James Stirling (1692-1770) was the first mathematician discovered the Stirling number. There are the first kind of Stirling number and the second kind of Stirling number. This article mainly introduces the recurrence of the first kind of Stirling number and its two kinds of combinational significance: cyclic permutation, increasing forests. And the recursion of the second kind of Stirling number and its two kinds of combinational significance: grouping. The recurrence between the first kind of Stirling number and the second kind of Stirling number in the difference sequence and polynomials is also discussed. Wu, Chin-Tung 吳進通 2018 學位論文 ; thesis 23 zh-TW
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language zh-TW
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description 碩士 === 國立屏東大學 === 科普傳播學系數理教育碩士班 === 106 === James Stirling (1692-1770) was the first mathematician discovered the Stirling number. There are the first kind of Stirling number and the second kind of Stirling number. This article mainly introduces the recurrence of the first kind of Stirling number and its two kinds of combinational significance: cyclic permutation, increasing forests. And the recursion of the second kind of Stirling number and its two kinds of combinational significance: grouping. The recurrence between the first kind of Stirling number and the second kind of Stirling number in the difference sequence and polynomials is also discussed.
author2 Wu, Chin-Tung
author_facet Wu, Chin-Tung
Chang, I-Fan
張一帆
author Chang, I-Fan
張一帆
spellingShingle Chang, I-Fan
張一帆
Discussion of Grouping and Stirling Number
author_sort Chang, I-Fan
title Discussion of Grouping and Stirling Number
title_short Discussion of Grouping and Stirling Number
title_full Discussion of Grouping and Stirling Number
title_fullStr Discussion of Grouping and Stirling Number
title_full_unstemmed Discussion of Grouping and Stirling Number
title_sort discussion of grouping and stirling number
publishDate 2018
url http://ndltd.ncl.edu.tw/handle/59ydu8
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