... 半连续统：semicontinuum 半连续函数：semi-continuous function 半连续点：point of semicontinuity ...
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srongly semi-continuous function 强半连续函数
completely semi-continuous function 全半连续函数
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As to their applications, some results about the low control theorem of the convex lower semi-continuous function and the subdifferentiable function theorem are obtained.
给出了有关凸泛函的两个命题，并由此对凸下半连续泛函的下控定理、次可微定理的条件、结论及证法进行了探讨。
In this paper, we study the definition of semi continuous function and the sufficient conditions of semi continuity, obtain some properties of semi continuous function.
给出了半连续函数的定义，研究了函数具有半连续性的条件，推出了半连续函数的一些性质。
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