Convex

  • 111Minkowski's first inequality for convex bodies — In mathematics, Minkowski s first inequality for convex bodies is a geometrical result due to the German mathematician Hermann Minkowski. The inequality is closely related to the Brunn–Minkowski inequality and the isoperimetric inequality.… …

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  • 112Local convex hull — (LoCoH) is a method for estimating the size the home range of an animal or a group of animals (e.g. a pack of wolves, a pride of lions, or herd of buffalos), and for constructing a utilization distribution. [Getz, W. M. and C. C. Wilmers, 2004. A …

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  • 113Plano-convex — Pla no con vex, a. [Plano + convex.] Plane or flat on one side, and convex on the other; as, a plano convex lens. See {Convex}, and {Lens}. [1913 Webster] …

    The Collaborative International Dictionary of English

  • 114Characteristic function (convex analysis) — In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non membership) of a given element in that set. It is similar to the usual indicator function, and… …

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  • 115Convexo-convex — Con*vex o con vex, a. Convex on both sides; double convex. See under {Convex}, a. [1913 Webster] …

    The Collaborative International Dictionary of English

  • 116Closed convex function — In mathematics, a convex function is called closed if its epigraph is a closed set. Properties A closed convex function f is the pointwise supremum of the collection of all affine functions h such that h≤f. References Rockafellar, R. Tyrell,… …

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  • 117Uniformly convex space — In mathematics, uniformly convex spaces are common examples of reflexive Banach spaces. These include all Hilbert spaces and the L p spaces for 10 so that for any two vectors with |x|le1 and |y|le 1, :|x+y|>2 delta implies :|x y| …

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  • 118Concavo-convex — Con*ca vo con vex, a. 1. Concave on one side and convex on the other, as an eggshell or a crescent. [1913 Webster] 2. (Optics) Specifically, having such a combination of concave and convex sides as makes the focal axis the shortest line between… …

    The Collaborative International Dictionary of English

  • 119concavo-convex — adjective Date: 1676 1. concave on one side and convex on the other 2. having the concave side curved more than the convex < a concavo convex lens > …

    New Collegiate Dictionary

  • 120Plano-convex — is most commonly used to refer to: *Plano convex lenses, in optics; see Lens (optics)#Types of simple lenses *The plano convex type of mudbrick, used by the ancient Sumerians …

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