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- List_of_convexity_topics abstract "This is a list of convexity topics, by Wikipedia page.Alpha blending - the process of combining a translucent foreground color with a background color, thereby producing a new blended color. This is a convex combination of two colors allowing for transparency effects in computer graphics.Barycentric coordinates - a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of masses placed at its vertices. The coordinates are non-negative for points in the convex hull.Borsuk's conjecture - a conjecture about the number of pieces required to cover a body with a larger diameter. Solved by Hadwiger for the case of smooth convex bodies.Bond convexity - a measure of the non-linear relationship between price and yield duration of a bond to changes in interest rates, the second derivative of the price of the bond with respect to interest rates. A basic form of convexity in finance.Carathéodory's theorem (convex hull) - If a point x of R^d lies in the convex hull of a set P, there is a subset of P with d+1 or fewer points such that x lies in its convex hull.Choquet theory - an area of functional analysis and convex analysis concerned with measures with support on the extreme points of a convex set C. Roughly speaking, all vectors of C should appear as 'averages' of extreme points.Complex convexity — extends the notion of convexity to complex numbers.Convex analysis - the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization.Convex combination - a linear combination of points where all coefficients are non-negative and sum to 1. All convex combinations are within the convex hull of the given points.Convex and concave - a print by Escher in which many of the structure's features can be seen as both convex shapes and concave impressions.Convex body - a compact convex set in a Euclidean space whose interior is non-empty.Convex conjugate - a dual of a real functional in a vector space. Can be interpreted as an encoding of the convex hull of the function's epigraph in terms of its supporting hyperplanes.Convex curve - a curve that lies entirely on one side of each of its tangents. The interior of a convex curve is a convex set.Convex function - a function in which the line segment between any two points on the graph of the function lies above the graph.Closed convex function - a convex function whose every the sublevel set is a closed set.Proper convex function - a convex function whose effective domain is nonempty and it never attains minus infinity.Concave function - the negative of a convex function.Convex geometry - the branch of geometry studying convex sets, mainly in Euclidean space. Contains three sub-branches: general convexity, polytopes and polyhedra, and discrete geometry.Convex hull (aka convex envelope) - the smallest convex set that contains a given set of points in Euclidean space.Convex lens - a lens in which one or two sides is curved or bowed outwards. Light passing through the lens is converged (or focused) to a spot behind the lens.Convex optimization - a subfield of optimization, studies the problem of minimizing convex functions over convex sets. The convexity property can make optimization in some sense "easier" than the general case - for example, any local minimum must be a global minimum.Convex polygon - a 2-dimensional polygon whose interior is a convex set in the Euclidean plane.Convex polytope - an n-dimensional polytope which is also a convex set in the Euclidean n-dimensional space.Convex set - a set in Euclidean space in which contains every segment between every two of its points.Convexity (finance) - refers to non-linearities in a financial model. When the price of an underlying variable changes, the price of an output does not change linearly, but depends on the higher-order derivatives of the modeling function. Geometrically, the model is no longer flat but curved, and the degree of curvature is called the convexity.Epigraph (mathematics)Extreme pointFenchel conjugateFenchel's inequalityFixed point theorems in infinite-dimensional spacesFour vertex theorem - every convex curve has at least 4 vertices.Gift wrapping algorithmGraham scanHadwiger conjecture (combinatorial geometry) - any convex body in n-dimensional Euclidean space can be covered by 2^n or fewer smaller bodies homothetic with the original body.Hadwiger's theorem - a theorem that characterizes the valuations on convex bodies in R^n.Helly's theoremHyperplaneIndifference curveInfimal convoluteInterval (mathematics)Jarvis marchJensen's inequalityLagrange multiplierLegendre transformationLocally convex topological vector spaceMahler volumeMinkowski's theoremMixed volumeMixture densityNewton polygonRadon's theoremSeparating axis theoremShapley–Folkman lemmaShephard's problemSimplexSimplex methodSubdifferentialSupporting hyperplaneSupporting hyperplane theorem".
- List_of_convexity_topics wikiPageID "1018951".
- List_of_convexity_topics wikiPageLength "5573".
- List_of_convexity_topics wikiPageOutDegree "62".
- List_of_convexity_topics wikiPageRevisionID "677053169".
- List_of_convexity_topics wikiPageWikiLink Alpha_blending.
- List_of_convexity_topics wikiPageWikiLink Alpha_compositing.
- List_of_convexity_topics wikiPageWikiLink Barycentric_coordinate_system.
- List_of_convexity_topics wikiPageWikiLink Barycentric_coordinate_system_(mathematics).
- List_of_convexity_topics wikiPageWikiLink Bond_convexity.
- List_of_convexity_topics wikiPageWikiLink Borsuks_conjecture.
- List_of_convexity_topics wikiPageWikiLink Carathxc3xa9odorys_theorem_(convex_hull).
- List_of_convexity_topics wikiPageWikiLink Category:Convex_geometry.
- List_of_convexity_topics wikiPageWikiLink Category:Mathematical_analysis.
- List_of_convexity_topics wikiPageWikiLink Category:Mathematics-related_lists.
- List_of_convexity_topics wikiPageWikiLink Choquet_theory.
- List_of_convexity_topics wikiPageWikiLink Closed_convex_function.
- List_of_convexity_topics wikiPageWikiLink Complex_convexity.
- List_of_convexity_topics wikiPageWikiLink Concave_function.
- List_of_convexity_topics wikiPageWikiLink Convex_analysis.
- List_of_convexity_topics wikiPageWikiLink Convex_and_Concave.
- List_of_convexity_topics wikiPageWikiLink Convex_and_concave.
- List_of_convexity_topics wikiPageWikiLink Convex_body.
- List_of_convexity_topics wikiPageWikiLink Convex_combination.
- List_of_convexity_topics wikiPageWikiLink Convex_conjugate.
- List_of_convexity_topics wikiPageWikiLink Convex_curve.
- List_of_convexity_topics wikiPageWikiLink Convex_function.
- List_of_convexity_topics wikiPageWikiLink Convex_geometry.
- List_of_convexity_topics wikiPageWikiLink Convex_hull.
- List_of_convexity_topics wikiPageWikiLink Convex_lens.
- List_of_convexity_topics wikiPageWikiLink Convex_optimization.
- List_of_convexity_topics wikiPageWikiLink Convex_polygon.
- List_of_convexity_topics wikiPageWikiLink Convex_polytope.
- List_of_convexity_topics wikiPageWikiLink Convex_set.
- List_of_convexity_topics wikiPageWikiLink Convexity_(finance).
- List_of_convexity_topics wikiPageWikiLink Epigraph_(mathematics).
- List_of_convexity_topics wikiPageWikiLink Extreme_point.
- List_of_convexity_topics wikiPageWikiLink Fenchel_conjugate.
- List_of_convexity_topics wikiPageWikiLink Fenchels_inequality.
- List_of_convexity_topics wikiPageWikiLink Fixed-point_theorems_in_infinite-dimensional_spaces.
- List_of_convexity_topics wikiPageWikiLink Fixed_point_theorems_in_infinite-dimensional_spaces.
- List_of_convexity_topics wikiPageWikiLink Four-vertex_theorem.
- List_of_convexity_topics wikiPageWikiLink Four_vertex_theorem.
- List_of_convexity_topics wikiPageWikiLink Gift_wrapping_algorithm.
- List_of_convexity_topics wikiPageWikiLink Graham_scan.
- List_of_convexity_topics wikiPageWikiLink Hadwiger_conjecture_(combinatorial_geometry).
- List_of_convexity_topics wikiPageWikiLink Hadwigers_theorem.
- List_of_convexity_topics wikiPageWikiLink Hellys_theorem.
- List_of_convexity_topics wikiPageWikiLink Hyperplane.
- List_of_convexity_topics wikiPageWikiLink Hyperplane_separation_theorem.
- List_of_convexity_topics wikiPageWikiLink Indifference_curve.
- List_of_convexity_topics wikiPageWikiLink Infimal_convolute.
- List_of_convexity_topics wikiPageWikiLink Interval_(mathematics).
- List_of_convexity_topics wikiPageWikiLink Jarvis_march.
- List_of_convexity_topics wikiPageWikiLink Jensens_inequality.
- List_of_convexity_topics wikiPageWikiLink Lagrange_multiplier.
- List_of_convexity_topics wikiPageWikiLink Legendre_transformation.
- List_of_convexity_topics wikiPageWikiLink Lens_(optics).
- List_of_convexity_topics wikiPageWikiLink Locally_convex_topological_vector_space.
- List_of_convexity_topics wikiPageWikiLink Mahler_volume.
- List_of_convexity_topics wikiPageWikiLink Minkowskis_theorem.
- List_of_convexity_topics wikiPageWikiLink Mixed_volume.
- List_of_convexity_topics wikiPageWikiLink Mixture_density.
- List_of_convexity_topics wikiPageWikiLink Mixture_distribution.
- List_of_convexity_topics wikiPageWikiLink Newton_polygon.
- List_of_convexity_topics wikiPageWikiLink Proper_convex_function.
- List_of_convexity_topics wikiPageWikiLink Radons_theorem.
- List_of_convexity_topics wikiPageWikiLink Separating_axis_theorem.
- List_of_convexity_topics wikiPageWikiLink Shapley–Folkman_lemma.
- List_of_convexity_topics wikiPageWikiLink Shephards_problem.
- List_of_convexity_topics wikiPageWikiLink Simplex.
- List_of_convexity_topics wikiPageWikiLink Simplex_algorithm.
- List_of_convexity_topics wikiPageWikiLink Simplex_method.
- List_of_convexity_topics wikiPageWikiLink Subderivative.
- List_of_convexity_topics wikiPageWikiLink Subdifferential.
- List_of_convexity_topics wikiPageWikiLink Supporting_hyperplane.
- List_of_convexity_topics wikiPageWikiLink Supporting_hyperplane_theorem.
- List_of_convexity_topics wikiPageWikiLinkText "List of convexity topics".
- List_of_convexity_topics wikiPageWikiLinkText "list of convexity topics".
- List_of_convexity_topics hasPhotoCollection List_of_convexity_topics.
- List_of_convexity_topics subject Category:Convex_geometry.
- List_of_convexity_topics subject Category:Mathematical_analysis.
- List_of_convexity_topics subject Category:Mathematics-related_lists.
- List_of_convexity_topics hypernym List.
- List_of_convexity_topics type List.
- List_of_convexity_topics type Field.
- List_of_convexity_topics type List.
- List_of_convexity_topics comment "This is a list of convexity topics, by Wikipedia page.Alpha blending - the process of combining a translucent foreground color with a background color, thereby producing a new blended color. This is a convex combination of two colors allowing for transparency effects in computer graphics.Barycentric coordinates - a coordinate system in which the location of a point of a simplex (a triangle, tetrahedron, etc.) is specified as the center of mass, or barycenter, of masses placed at its vertices.".
- List_of_convexity_topics label "List of convexity topics".
- List_of_convexity_topics sameAs Q6613646.
- List_of_convexity_topics sameAs Q6613646.
- List_of_convexity_topics wasDerivedFrom List_of_convexity_topics?oldid=677053169.
- List_of_convexity_topics isPrimaryTopicOf List_of_convexity_topics.