Usually means: Region extending infinitely in directions.
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We found 6 dictionaries that define the word half space:

General (3 matching dictionaries)
  1. half-space: Merriam-Webster
  2. half space: Wiktionary
  3. Half-space, Half-space (geometry), Half-space (punctuation): Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Half-space, half space: Encyclopedia

Science (1 matching dictionary)
  1. Half-Space: Eric Weisstein's World of Mathematics

Tech (1 matching dictionary)
  1. Sweetwater Music (No longer online)

Definitions from Wiktionary (half space)

noun:  A broad step between flights of a staircase.
noun:  (mathematics) Either of the two parts of three-dimensional space divided by a plane.

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