concave-convex
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concave, convex — Concave means curved inward, and convex means curved outward. That is, concave means having a surface that is curved or rounded inward, like a segment of the interior of a hollow sphere or circle. In keeping the meaning of concave straight, it… … Dictionary of problem words and expressions
Convex — A convex set. The word convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to: Mathematics: Convex set, a set of points containing all line segments between each pair of its points Convex function, a… … Wikipedia
convex — See concave. See concave, convex … Dictionary of problem words and expressions
convex — adjective Etymology: Middle French or Latin; Middle French convexe, from Latin convexus vaulted, concave, convex, from com + vexus; perhaps akin to Latin vehere to carry more at way Date: 1571 1. a. curved or rounded outward like the … New Collegiate Dictionary
concave — See concave, convex … Dictionary of problem words and expressions
Convex function — on an interval. A function (in black) is convex if and only i … Wikipedia
Convex optimization — Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. Given a real vector space X together with a convex, real valued function defined on a convex subset of X, the problem is to find … Wikipedia
Convex and Concave — Artist M. C. Escher Year 1955 Type lithograph Dimensions 27.5 cm × 33.5 cm (10.8 in × 13.2 in) Convex an … Wikipedia
Convex — Con vex, a. [L. convexus vaulted, arched, convex, concave, fr. convehere to bring together: cf. F. convexe. See {Vehicle}.] Rising or swelling into a spherical or rounded form; regularly protuberant or bulging; said of a spherical surface or… … The Collaborative International Dictionary of English
Concave — Con cave (k[o^][ng]*k[=a]*v or k[o^]n ; 277), a. [L. concavus; con + cavus hollow: cf. F. concave. See {Cave} a hollow.] 1. Hollow and curved or rounded; vaulted; said of the interior of a curved surface or line, as of the curve of the of the… … The Collaborative International Dictionary of English
concave — means ‘having an outline or surface like the interior of a circle or sphere’, whereas convex means ‘having an outline or surface like the exterior of a circle or sphere’ … Modern English usage
