Why Are There as Many Elements in the Cantor Set as There Are Real Numbers?  

Why Are There as Many Elements in the Cantor Set as There Are Real Numbers?

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作  者:Wenbing Wu Xiaojian Yuan Wenbing Wu;Xiaojian Yuan(School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China)

机构地区:[1]School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China

出  处:《Open Journal of Applied Sciences》2023年第11期2183-2185,共3页应用科学(英文)

摘  要:There are many important concepts in linear algebra, such as linear correlation and linear independence, eigenvalues and eigenvectors, and so on. The article provides a graphical explanation of how to distinguish between the concepts of linear correlation and linear independence. The conclusion points out that linear independence means that there are no two (base) vectors with the same direction in a vector graph;otherwise, it is a linear correlation.There are many important concepts in linear algebra, such as linear correlation and linear independence, eigenvalues and eigenvectors, and so on. The article provides a graphical explanation of how to distinguish between the concepts of linear correlation and linear independence. The conclusion points out that linear independence means that there are no two (base) vectors with the same direction in a vector graph;otherwise, it is a linear correlation.

关 键 词:Cantor Ternary Set Linear Independence Vector Linear Algebra 

分 类 号:O17[理学—数学]

 

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