Hemicontinuity

（重定向自Hemicontinuous）

An upper hemicontinuous correspondence that is not lower hemicontinuous. It is not lower hemicontinuous because for a sequence of points xm that converges to x, we have a y (y in f(x)) such that no sequence of ym converges to y where each ym is in f(xm).

A lower hemicontinuous correspondence that is not upper hemicontinuous. It is not upper hemicontinuous because the graph (set) is not closed.

In mathematics, the notion of the continuity of functions is not immediately extensible to multi-valued mappings or correspondences. The dual concepts of upper hemicontinuity and lower hemicontinuity facilitate such an extension. A correspondence that has both properties is said to be continuous in an analogy to the property of the same name for functions.

单词	hemicontinuous
释义	hemicontinuous 英汉-汉英词典 adj. 半连续的,强弱连续的词组 \| 习惯用语您要查找的是不是： continuous adj. 连续的；继续的；连绵不断的 noncontinuous adj. 不继续的(间断的) semiconscious adj. 半意识的 hemicontinuous 半连续网络短语: hemicontinuous operator 强弱连续的算子 lower hemicontinuous 下 lower hemicontinuous mapping 下半连续映射 electromagnetic hemicontinuous compound casting 电磁复合铸造 Generalized v hemicontinuous mapping 广义v 英语百科 Hemicontinuity （重定向自Hemicontinuous） In mathematics, the notion of the continuity of functions is not immediately extensible to multi-valued mappings or correspondences. The dual concepts of upper hemicontinuity and lower hemicontinuity facilitate such an extension. A correspondence that has both properties is said to be continuous in an analogy to the property of the same name for functions.
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hemicontinuous

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网络短语:

Hemicontinuity