KnowraConvex combinationLinked fromLinked fromThe 12 pages that link to Convex combination, each with the reason it gives.All 12Broader topic 2Related 8Compared with 2Convex setRelated: Every point on a segment is a convex combination of its endpoints.Barycentric coordinatesRelated: Nonnegative barycentric coordinates place a point inside the convex hull of the reference points.Extreme pointRelated: A point is extreme precisely when no nontrivial such combination of other points produces it.ConvexityRelated: Convex combinations express the points that a convex set must contain.Carathéodory's theoremRelated: Membership in a convex hull means having a finite convex-combination representation.Weighted averageRelated: Normalized weights make the result a convex combination of the values.Fáry's theoremRelated: Tutte's construction places vertices using convex combinations of neighboring positions.Brunn–Minkowski theoremRelated: Normalized convex combinations connect the theorem to concavity of volume roots.