Usually means: Changes value only at points.
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We found 4 dictionaries that define the word semicontinuous:

General (3 matching dictionaries)
  1. semicontinuous: Merriam-Webster
  2. semicontinuous: Wiktionary
  3. Semicontinuous: Wikipedia, the Free Encyclopedia

Science (1 matching dictionary)
  1. semicontinuous, semicontinuous: PlanetMath Encyclopedia

Definitions from Wiktionary (semicontinuous)

adjective:  (mathematics) (of a function) That it is continuous almost everywhere, except at certain points at which it is either upper semi-continuous or lower semi-continuous.

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