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单词 CaratheodorysTheorem
释义

Carathéodory’s theorem


Suppose a point p lies in the convex hullMathworldPlanetmath of a set Pd. Then there is a subset PP consisting of no more than d+1 points such that p lies in the convex hull of P.

For example, if a point p is contained in a convex hull of a set P2, then there are three points in P that determine the triangle containing p, provided, of course, that P contains at least three points.

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更新时间:2025/5/4 17:06:25