Definition:Convex Hull/Definition 2
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Definition
Let $V$ be a vector space over $\R$.
Let $U \subseteq V$.
The convex hull of $U$ is defined and denoted:
- $\ds \map {\operatorname {conv} } U = $ the intersection of all convex sets $C \subseteq V$ of $V$ such that $U \subseteq C$.
That is, it is the intersection of all convex sets containing $U$.
Also see
- Results about convex hulls can be found here.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): convex hull