Usually means: Interval including one endpoint only.
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We found 7 dictionaries that define the word half-open interval:

General (5 matching dictionaries)
  1. half-open interval: American Heritage Dictionary of the English Language
  2. half-open interval: Wiktionary
  3. half-open interval: Dictionary.com
  4. Half-open interval: Wikipedia, the Free Encyclopedia
  5. half-open interval: TheFreeDictionary.com

Science (2 matching dictionaries)
  1. Half-Open Interval: Eric Weisstein's World of Mathematics
  2. half-open interval: PlanetMath Encyclopedia

Definitions from Wiktionary (half-open interval)

noun:  (mathematics) An interval in the real line which contains one of its endpoints but not the other one: i.e., it either contains its supremum or its infimum but not both.

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