open ball

noun

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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Meanings

nounopen ball (plural open balls)

plural open balls

  1. restricted to metric spacesmathematical analysisThe 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").

Translations

French boule ouverte
  • boule ouverteTranslations
Polish kula otwarta
  • kula otwartaTranslations
Cite this entry
APA

open ball. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/open%20ball

MLA

“open ball.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/open%20ball. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “open ball,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/open%20ball.

Source: open ball on Wiktionary, CC BY-SA 4.0.