extension of continuous function [数] 连续函数的扩张
It is called the continuous extension function which in some spot makes the continuously extension, the continuous extension function plays important affects in the relevant questions of function.
连续开拓是函数连续性中的重要概念，对函数在某点做的连续开拓所得到的函数称为连续开拓函数，连续开拓函数在函数的有关问题证明中起重要作用。
By very elementary method, it is proved that every continuous differentiable function defined in a perfect set has differentiable extension.
本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓。
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