某一函数f在区间I上有定义，如果对于任意的ε>0，总有δ>0，使得在区间I上的任意两点x'和x"，当满足|x'-x"|<δ时，|f(x')-f(x")|<ε恒成立，则该函数在区间I上一致连续。对于在闭区间上的连续函数，其在该区间上必一致连续。一致连续的函数必定是连续函数。
... uniform contact ==> 均匀接触,均匀接触 uniform continuity ==> 一致连续 uniform convergence ==> 一致收敛,均匀收敛,均匀收敛 ...
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浅析一致连续函数 --中国期刊网 关键词：一致连续；区间；收敛；导数；有界函数 [gap=187]Key words:uniformly continuous；interval；convergence；derivative；bounded function
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一致连续性 [数] uniform continuity
一致连续的 [数] uniformly continuous
一致连续映射 uniformly continuous map ; [数] uniformly continuous mapping
半一致连续的 [数] semi-uniformly continuous
一致连续线性算子 [数] uniformly continuous linear operator
一致连续线性变换 [数] uniformly continuous linear transformation
一致连续C半群 uniformly continuous C-semigroups
不一致连续 nonuniform continuity
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得到了函数一致连续的几个充分条件。
We obtain some sufficient conditions of uniformly continuous function.
给出了一致连续偏序集的概念及其性质和等价刻划。
The notions of uniform complete partial order sets and uniform continuous partial order sets are defined.
一致连续与非一致连续是数学分析中的一个重要的概念。
There is an important concept in mathematical analysis, nomely uniform continuity and nonuniform continuity.
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