Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance

碩士 === 中原大學 === 應用數學研究所 === 100 === To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subse...

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Main Authors:	Hui-Ling Huang, 黃惠玲
Other Authors:	Yuh-Jenn Wu
Format:	Others
Language:	zh-TW
Published:	2012
Online Access:	http://ndltd.ncl.edu.tw/handle/36260299033328501919

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spelling	ndltd-TW-100CYCU55070162015-10-13T21:32:33Z http://ndltd.ncl.edu.tw/handle/36260299033328501919 Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance 歐氏空間之集合級數豪斯多夫距離下之柯西並項審斂法 Hui-Ling Huang 黃惠玲碩士中原大學應用數學研究所 100 To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subseries. We are also extend it to the Euclidean space for series of sets, and under the Hausdorff distance will have an one-dimension with the same result, and we also provide an example, that the alternating series test can not be extended. 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 === To discussing the series convergence the course of analysis is important, so that the mainly research in this paper is Cauchy condensation test. And Cauchy condensation test under smoe conditions, the convergence of series is consistent as the convergence of subseries. We are also extend it to the Euclidean space for series of sets, and under the Hausdorff distance will have an one-dimension with the same result, and we also provide an example, that the alternating series test can not be extended.
author2	Yuh-Jenn Wu
author_facet	Yuh-Jenn Wu Hui-Ling Huang 黃惠玲
author	Hui-Ling Huang 黃惠玲
spellingShingle	Hui-Ling Huang 黃惠玲 Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
author_sort	Hui-Ling Huang
title	Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
title_short	Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
title_full	Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
title_fullStr	Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
title_full_unstemmed	Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance
title_sort	euclidean space cauchy condensation test for series of sets under hausdorff distance
publishDate	2012
url	http://ndltd.ncl.edu.tw/handle/36260299033328501919
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Euclidean Space Cauchy Condensation Test for Series of Sets Under Hausdorff Distance

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