Convex set: Difference between revisions

Revision as of 00:51, 23 October 2022

Revision as of 07:44, 24 November 2022

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{{short description|In geometry, set thatwhose intersectsintersection with every line intois a single line segment}}

[[File:Convex polygon illustration1.svg|right|thumb|Illustration of a convex set which looks somewhat like a deformed circle. The line segment, illustrated in black above, joining points x and y, lies completely within the set, illustrated in green. Since this is true for any potential locations of any two points within the above set, the set is convex.]]

[[File:Convex polygon illustration2.svg|right|thumb|Illustration of a non-convex set. Illustrated by the above line segment whereby it changes from the black color to the red color. Exemplifying why this above set, illustrated in green, is non-convex.]]