2005•Journal of Quanzhou Normal UniversityRequires access

The Equivalence Relation of Double Limit and Uniform Convergence

Shen Xiao-bin

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Abstract

Under the certain condition,the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit,uniform convergence and iterated limit.Duality principle of analogy Higher Geometry is given by the(equivalence) relation.Some analytic properties of limit function are studied by it.

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Under the certain condition,the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit,uniform convergence and iterated limit.Duality principle of analogy Higher Geometry is given by the(equivalence) relation.Some analytic properties of limit function are studied by it.

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Available abstract

Under the certain condition,the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit,uniform convergence and iterated limit.Duality principle of analogy Higher Geometry is given by the(equivalence) relation.Some analytic properties of limit function are studied by it.

Key concepts: Mathematics, Limit (mathematics), Iterated function, Equivalence (formal languages), Equivalence relation, Uniform limit theorem, Relation (database), Convergence (economics)

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