Convex Definition & Meaning - Merriam-Webster
Webconvex: [adjective] curved or rounded outward like the exterior of a sphere or circle. being a continuous function or part of a continuous function with the property that a line joining any two points on its graph lies on or above the graph.
Convex function - Wikipedia
WebA function (in black) is convex if and only if the region above its graph (in green) is a convex set. A graph of the bivariate convex function x 2 + xy + y 2. Convex vs. Not convex. In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above the graph between the two points. . Equivalently, a function is ...
CONVEX Definition & Meaning | Dictionary.com
WebConvex definition: having a surface that is curved or rounded outward.. See examples of CONVEX used in a sentence.
Convex set - Wikipedia
WebIn geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty).
Convex Function -- from Wolfram MathWorld
Web4 days ago · A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval. More generally, a function f(x) is convex on an interval [a,b] if for any two points x_1 and x_2 in [a,b] and any lambda where 0<lambda<1, f[lambdax_1+(1-lambda)x_2]<=lambdaf(x_1)+(1-lambda)f(x_2) (Rudin 1976, p ...
Convex Definition (Illustrated Mathematics Dictionary) - Math is Fun
WebCurved outwards. Example: A polygon (which has straight sides) is convex when there are NO "dents" or indentations in it (no internal angle is greater than 180°) The opposite idea is called "concave". See: Concave. Polygons. Illustrated …
CONVEX | definition in the Cambridge English Dictionary
WebCONVEX meaning: 1. curved or swelling out: 2. curved or swelling out: 3. curved or swelling out: . Learn more.
Convex -- from Wolfram MathWorld
WebApr 25, 2024 · A set in Euclidean space R^d is convex set if it contains all the line segments connecting any pair of its points. If the set does not contain all the line segments, it is called concave. A convex set is always star convex, implying pathwise-connected, which in turn implies connected. A region can be tested for convexity in the Wolfram Language using the function Region`ConvexRegionQ[reg].
Convex polygon - Wikipedia
WebAn example of a convex polygon: a regular pentagon.. In geometry, a convex polygon is a polygon that is the boundary of a convex set.This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a simple polygon (not self-intersecting). Equivalently, a polygon is convex if every line that does ...
convex adjective - Definition, pictures, pronunciation and usage …
WebDefinition of convex adjective in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
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