Euclidean Space Series of Sets Under Hausdorff Distance for ∑AB

碩士 === 中原大學 === 應用數學研究所 === 101 === The papers mainly on the Euclidean space collection series discussion on convergence of ∑AB in the Hausdorff distance. Our product of the two collections of definitions is different from general ways. And after the product collection is also maintaining the same d...

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Bibliographic Details
Main Authors: Yun-Wen Chung, 鍾韻雯
Other Authors: Yuh-Jenn Wu
Format: Others
Language:zh-TW
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/48130229112665328979
Description
Summary:碩士 === 中原大學 === 應用數學研究所 === 101 === The papers mainly on the Euclidean space collection series discussion on convergence of ∑AB in the Hausdorff distance. Our product of the two collections of definitions is different from general ways. And after the product collection is also maintaining the same dimensions. We also promote a space of dimension n-dimensional space. And found several sufficient conditions such as Dirichlet convergence, Holder’s generalization of the inequality and Mertens theorem. And we also used Li Junlin (2012) made by set some properties of the absolute convergence of series and the skills to finish or use some prayer of our papers.