
1) Mathematical analysis
Found on
https://www.crosswordclues.com/clue/hemicontinuity

In mathematics, the notion of the continuity of functions is not immediately extensible to multi-valued mappings or correspondences{Disambiguation needed|date=November 2013}. 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 anal...
Found on
http://en.wikipedia.org/wiki/Hemicontinuity
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