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Pronunciation varies by accent · adjective
(mathematics) Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element..
Use hemicontinuous when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Hemicontinuous means (mathematics) Having the property that if a sequence of points in the domain of a function converges to a point L, then either the sequence of sets that are the images of those points contains a sequence that converges to a point that is in the image of L, or, alternatively, for every element in the image of L, you can find a sub-sequence in the domain whose image contains a convergent sequence to that element..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use hemicontinuous where its definition matches the intended context.
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