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2007•Journal of Anhui Radio & TV UniversityRequires access

Notes on the Bounded Variation Sequence and Its Characteristic

Ling Hu

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Abstract

The bounded variation sequence is applied broadly.The paper does some discussions on the characteristic which the bounded variation sequence has.It is found that the monotone sequence is colsely related to it,and very similar with the bounded variation functions,and reach the conclusion as follows: the class of bounded sequence  the class of convergencal sequence  the bounded variation sequence  the bounded monotone sequence.

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What this paper is about

The bounded variation sequence is applied broadly.The paper does some discussions on the characteristic which the bounded variation sequence has.It is found that the monotone sequence is colsely related to it,and very similar with the bounded variation functions,and reach the conclusion as follows: the class of bounded sequence  the class of convergencal sequence  the bounded variation sequence  the bounded monotone sequence.

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Available abstract

The bounded variation sequence is applied broadly.The paper does some discussions on the characteristic which the bounded variation sequence has.It is found that the monotone sequence is colsely related to it,and very similar with the bounded variation functions,and reach the conclusion as follows: the class of bounded sequence  the class of convergencal sequence  the bounded variation sequence  the bounded monotone sequence.

Key concepts: Bounded function, Sequence (biology), Monotone polygon, Variation (astronomy), Bounded variation, Bounded deformation, Mathematics, Class (philosophy)

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