Difference between revisions of "Convex cone"
From Encyclopedia of Mathematics
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| − | A [[convex body]] $V$ consisting of [[Half-line (ray)|half-lines]] issuing from one point — the apex of the cone. The case when $V$ is identical with the entire space is excluded from this definition. The concept of a convex cone includes that of a [[dihedral angle]] and a half-space as special cases. A convex cone is sometimes meant to be the surface of a convex cone. | + | A [[convex body]] $V$ consisting of [[Half-line (ray)|half-lines]] issuing from one point — the apex of the [[cone]]. The case when $V$ is identical with the entire space is excluded from this definition. The concept of a convex cone includes that of a [[dihedral angle]] and a half-space as special cases. A convex cone is sometimes meant to be the surface of a convex cone. |
Latest revision as of 13:27, 9 June 2016
A convex body $V$ consisting of half-lines issuing from one point — the apex of the cone. The case when $V$ is identical with the entire space is excluded from this definition. The concept of a convex cone includes that of a dihedral angle and a half-space as special cases. A convex cone is sometimes meant to be the surface of a convex cone.
How to Cite This Entry:
Convex cone. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Convex_cone&oldid=38947
Convex cone. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Convex_cone&oldid=38947
This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article