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hemicontinuous

hemicontinuous adjective: 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.

Adjective

hemicontinuous (not comparable)

  1. 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.

Origin of hemicontinuous

From hemi- + continuous.

Questions about hemicontinuous

What does hemicontinuous mean?
Hemicontinuous means 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.
What part of speech is hemicontinuous?
Hemicontinuous is an adjective.

Words near hemicontinuous in the dictionary

  1. hemicomplexes
  2. hemicondylar
  3. hemicondyle
  4. hemicondyles
  5. hemicontinuity
  6. hemicontinuous
  7. hemicontusion
  8. hemicontusive
  9. hemiconvulsion
  10. hemiconvulsions
  11. hemicord

Source and license

Adapted from Wiktionary: hemicontinuous (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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