open ball

mathematical ball that excludes its bounding sphere
Thing general Q2921739
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open ball

Summary

Key Facts

  • open ball's subclass of is recorded as open set[1].
  • open ball's subclass of is recorded as convex set[2].
  • open ball's subclass of is recorded as neighborhood[3].
  • open ball's part of is recorded as closed ball[4].
  • open ball's opposite of is recorded as closed ball[5].
  • open ball's has characteristic is recorded as volume[6].
  • open ball's has characteristic is recorded as surface area[7].
  • open ball's has characteristic is recorded as openness[8].
  • open ball's different from is recorded as ball[9].
  • open ball's defining formula is recorded as \left{ \vec{x} : \left\Vert\vec{x} - \vec{x_0}\right\Vert^2 < r^2 \right}<sup id="cite-C10" class="cite-ref" title="open ball — defining formula (P2534): \left{ \vec{x} : \left\Vert\vec{x} - \vec{x_0}\right\Vert^2 < r^2 \right}">[10].
  • open ball's MathWorld ID is recorded as OpenBall[11].
  • open ball's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • open ball's in defining formula is recorded as r[13].
  • open ball's in defining formula is recorded as \vec{x_0}[14].
  • open ball's Metamath statement ID is recorded as df-bl[15].

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). open ball. Retrieved May 7, 2026, from https://4ort.xyz/entity/open-ball
MLA “open ball.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/open-ball.
BibTeX @misc{4ortxyz_open-ball_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{open ball}}, year = {2026}, url = {https://4ort.xyz/entity/open-ball}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): open ball — https://4ort.xyz/entity/open-ball (retrieved 2026-05-07)

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