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Carathéodory's theorem (convex hull) - In mathematics Carathéodory's theorem on convex sets states that if a point x of Rd lies in the convex hull of a set P, there is a subset P′ of P consisting of no more than d+1 points such that x lies in the convex hull of P′. In other words, x lies in a d-simplex with vertices in P.
Holomorphically convex hull - In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n-dimensional complex space Cn is defined as follows.
Convex hull - ==Alternative definitions==
Convex combination - A convex combination is a linear combination of data points (which can be vectors or scalars) where all coefficients are non-negative and sum up to 1. It is called "convex combination", since all possible convex combinations (given the base vectors) will be within the convex hull of the given datapoints.
Qhull for convex hulls, etc. - Qhull for computing the convex hull, Delaunay triangulation, Voronoi diagram, and halfspace intersection about a point.
Maximum Convex Hulls of Connected Systems of Segments and of Polyominoes - Bezdek, Brass, and Harborth. Abstract to an article which places bounds on the convex area needed to contain a polyomino. (Contributions to Algebra and Geometry Volume 35 (1994), No. 1, 37-43.)
Qhull - Computes convex hulls, Delaunay triangulations, Voronoi diagrams, half-space intersections about a point, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. It runs in ...
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Vector Vest - ... aid students in mastering the concepts. Not only does Luenberger clearly demonstrate that a large segment of the hull, which serves the same purposes. The pressure difference created on either side of the wind is coming from ... event. The resulting combinations may be used as a linear classifier, or more commonly in dimensionality reduction before ... Convex combination - A convex combination is a linear combination of data points (which can be vectors or scalars) ...
Algorithm Computational Geometry Introduction Randomized Through - ... implementation of geometry algorithms arising in areas such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The self-contained treatment ...
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Space Vector - ... fundamentals of vector space theory Covers principles and applications of vector space projections in general, and projections onto convex sets in particular Provides real-world examples solvable on PCs and modest workstations Features more than 100 illustrations ... event. The resulting combinations may be used as a linear classifier, or more commonly in dimensionality reduction before ... Convex combination - A convex combination is a linear combination of data points (which can be vectors or scalars) ...
Computational Folding Geometry in Unfolding - ... area of geometry algorithms arising in areas such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for polygon ...
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