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== Applications ==
[[File:CIE1931xy_gamut_comparison.svg|thumb|The convex hull of the primary colors in each [[color space]] on a [[CIE 1931]] xy [[chromaticity diagram]] defines the space's [[gamut]] of possible colors]]
Convex hulls have wide applications in many fields. Within mathematics, convex hulls are used to study [[polynomial]]s, matrix [[eigenvalue]]s, and [[unitary element]]s, and several theorems in [[discrete geometry]] involve convex hulls. They are used in [[robust statistics]] as the outermost contour of [[Tukey depth]], are part of the [[bagplot]] visualization of two-dimensional data, and define risk sets of [[randomised decision rule|randomized decision rule]]s. Convex hulls of [[indicator vector]]s of solutions to combinatorial problems are central to [[combinatorial optimization]] and [[polyhedral combinatorics]]. In economics, convex hulls can be used to apply methods of [[convexity in economics]] to non-convex markets. In geometric modeling, the convex hull property [[Bézier curve]]s helps find their crossings, and convex hulls are part of the measurement of boat hulls. And in the study of animal behavior, convex hulls are used in a standard definition of the [[home range]].
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