Convex - Mathematics

Mathematics

  • Convex set, a set of points containing all line segments between each pair of its points
  • Convex function, a function whose epigraph forms a convex set
  • Convex polytope, a polytope which forms a convex set. These include convex polygons.
  • Convex hull, the minimal convex set containing a set of points X
  • Convex combination, a linear combination of points with non-negative coefficients that sum up to 1
  • Convex conjugate, a generalization of the Legendre transformation
  • Convex bipartite graph, a special kind of bipartite graph
  • Convex polygon, a polygon which is not concave
  • Convex plane graph, a plane graph with convex faces
  • Convex optimization, a subfield of optimization, studies the problem of minimizing convex functions
  • Convex geometry, the branch of geometry studying convex sets, mainly in Euclidean space
    • Convex curve, the boundary of a convex set
    • Convex body, a compact convex set with non-empty interior

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