Jiang Xiong
Abstract
There is an important concept in mathematical analysis,nomely uniform continuity and nonuniform continuity.Proceeding from the theorem of G.Cantor,the paper presents conditions of uniform continuity of a function in arbitrary boundary,and discusses the simple distinguish method for nonuniform continuity.
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There is an important concept in mathematical analysis,nomely uniform continuity and nonuniform continuity.Proceeding from the theorem of G.Cantor,the paper presents conditions of uniform continuity of a function in arbitrary boundary,and discusses the simple distinguish method for nonuniform continuity.
Key concepts: Mathematics, Uniform limit theorem, Modulus of continuity, Boundary (topology), Simple (philosophy), Uniform continuity, Function (biology), Mathematical analysis