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