Siteadmin, Check users, nsTeam1RO, nsTeam1RW, nsTeam1_talkRO, nsTeam1_talkRW, oversight, Administrators
30,650
edits
Changes
Jump to navigation
Jump to search
Line 1:
Line 1: +
How is a ball different from a solid sphere, and how is this relevant?
{{arcane}}
An '''open set''' in [[Euclidean space]] is a [[set]] that contains a [[ball (mathematics)]] around each of its points.{{fact}} In Euclidean space, a "ball" of radius ''r'' centered at a point ''p'' is the set of all points which are distance at most ''r'' from ''p''. Intuitively, if a point is contained in an open set, then all points sufficiently close to it are also contained.
An '''open set''' in [[Euclidean space]] is a [[set]] that contains a [[ball (mathematics)]] around each of its points.{{fact}} In Euclidean space, a "ball" of radius ''r'' centered at a point ''p'' is the set of all points which are distance at most ''r'' from ''p''. Intuitively, if a point is contained in an open set, then all points sufficiently close to it are also contained.