See convex hull on Wiktionary
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"text": "1994, David Eppstein, Chapter 10: Average Case Analysis of Dynamic Geometric Optimization, Association of Computing Machinery, Society for Industrial and Applied Mathematics, Proceedings of the Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, page 83,\nThis problem can be solved in time O(nᶜ) by combining a weight-balanced tree of the convex hull vertices with a farthest neighbor data structure of Agarwal and Matoušek [2]."
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"ref": "2005, A.D. Alexandrov, Convex Polyhedra, page 23:",
"text": "Thus, the polyhedron and the convex hull of the set of its vertices coincide, which was to be proved.\nSince the convex hull of a set M is determined uniquely from M, Theorem 1 implies that a bounded solid polyhedron and its surface, i.e., a closed convex polyhedron, are determined uniquely from its vertices.",
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"ref": "2007, Charalambos D. Aliprantis, Kim C. Border, Infinite Dimensional Analysis: A Hitchhiker's Guide, page 185:",
"text": "The convex hull of a compact subset of an infinite dimensional topological vector space need not be a compact set.",
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"The smallest convex set of points in which a given set of points is contained."
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"(mathematics) The smallest convex set of points in which a given set of points is contained."
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"sense": "convex set of points",
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"word": "enveloppe convexe"
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"text": "Thus, the polyhedron and the convex hull of the set of its vertices coincide, which was to be proved.\nSince the convex hull of a set M is determined uniquely from M, Theorem 1 implies that a bounded solid polyhedron and its surface, i.e., a closed convex polyhedron, are determined uniquely from its vertices.",
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"word": "convex hull"
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Download raw JSONL data for convex hull meaning in All languages combined (2.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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