Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance

碩士 === 中原大學 === 應用數學研究所 === 100 === We mainly discuss the convergence of series of sets in Euclidean space in this paper, and we extend the Dirichlet’s test to the series of sets in Euclidean space. However, the Dirichlet’s test is used to judge the convergence to the form of ΣAnBn. Thus, we must de...

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Bibliographic Details
Main Authors:	Shih-Keng Hsu, 許時耕
Other Authors:	Yuh-Jenn Wu
Format:	Others
Language:	zh-TW
Published:	2012
Online Access:	http://ndltd.ncl.edu.tw/handle/28036290690505737840

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spelling	ndltd-TW-100CYCU55070152015-10-13T21:32:33Z http://ndltd.ncl.edu.tw/handle/28036290690505737840 Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance 歐氏空間集合級數在豪斯多夫距離下狄利克雷審斂法 Shih-Keng Hsu 許時耕碩士中原大學應用數學研究所 100 We mainly discuss the convergence of series of sets in Euclidean space in this paper, and we extend the Dirichlet’s test to the series of sets in Euclidean space. However, the Dirichlet’s test is used to judge the convergence to the form of ΣAnBn. Thus, we must define the addition and the multiplication of series of sets, especially in the multiplication part, which is satisfied with the condition of the same dimension after multiplying. In consequence, it is successfully extended to the convergence of series of sets in Euclidean space, and which is the characteristic and the main result of the paper. Yuh-Jenn Wu 吳裕振 2012 學位論文 ; thesis 14 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 中原大學 === 應用數學研究所 === 100 === We mainly discuss the convergence of series of sets in Euclidean space in this paper, and we extend the Dirichlet’s test to the series of sets in Euclidean space. However, the Dirichlet’s test is used to judge the convergence to the form of ΣAnBn. Thus, we must define the addition and the multiplication of series of sets, especially in the multiplication part, which is satisfied with the condition of the same dimension after multiplying. In consequence, it is successfully extended to the convergence of series of sets in Euclidean space, and which is the characteristic and the main result of the paper.
author2	Yuh-Jenn Wu
author_facet	Yuh-Jenn Wu Shih-Keng Hsu 許時耕
author	Shih-Keng Hsu 許時耕
spellingShingle	Shih-Keng Hsu 許時耕 Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
author_sort	Shih-Keng Hsu
title	Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
title_short	Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
title_full	Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
title_fullStr	Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
title_full_unstemmed	Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance
title_sort	euclidean space dirichlet’s test for series of sets under hausdorff distance
publishDate	2012
url	http://ndltd.ncl.edu.tw/handle/28036290690505737840
work_keys_str_mv	AT shihkenghsu euclideanspacedirichletstestforseriesofsetsunderhausdorffdistance AT xǔshígēng euclideanspacedirichletstestforseriesofsetsunderhausdorffdistance AT shihkenghsu ōushìkōngjiānjíhéjíshùzàiháosīduōfūjùlíxiàdílìkèléishěnliǎnfǎ AT xǔshígēng ōushìkōngjiānjíhéjíshùzàiháosīduōfūjùlíxiàdílìkèléishěnliǎnfǎ
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Euclidean Space Dirichlet’s test for Series of Sets Under Hausdorff Distance

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