concave, convex

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 may help to think of a cave as something that actually turns or curves inward from the earth. Convex means precisely the opposite.

Dictionary of problem words and expressions. . 1975.

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  • 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

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