Usually means: Set of points within radius.
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We found 5 dictionaries that define the word open ball:

General (2 matching dictionaries)
  1. open ball: Wiktionary
  2. Open ball: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. open ball: Encyclopedia

Science (2 matching dictionaries)
  1. Open Ball: Eric Weisstein's World of Mathematics
  2. open ball, open ball: PlanetMath Encyclopedia

Definitions from Wiktionary (open ball)

noun:  (topology, mathematical analysis, restricted to metric spaces) The set of all points in a metric space whose distance from a given point ("the open ball's center") is less than a given length ("the open ball's radius").

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