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- Dictionaryconvex/ˈkɒnvɛks/
adjective
- 1. having an outline or surface curved like the exterior of a circle or sphere: "a convex lens"
- 2. (of a polygon) not having any interior angles greater than 180°.
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A 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 if its epigraph (the set of points on or above the graph of the function) is a convex set.In ...
convex: [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 definition: having a surface that is curved or rounded outward.. See examples of CONVEX used in a sentence.
Definition of Convexity of a Function. Consider a function y = f (x), which is assumed to be continuous on the interval [a, b]. The function y = f (x) is called convex downward (or concave upward) if for any two points x1 and x2 in [a, b], the following inequality holds: If this inequality is strict for any x1, x2 ∈ [a, b], such that x1 ≠ ...
CONVEX definition: 1. curved or swelling out: 2. curved or swelling out: 3. curved or swelling out: . Learn more.
Convex Sets and Their Importance in Optimization. In geometry, a subset of an affine space over the reals, or more broadly a subset of Euclidean space, is said to be convex if it contains the whole line segment connecting any two points in the subset. A subset that connects each line into a single line segment is known as a convex set or convex ...
4 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 ...
Curved 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 definition of Convex: Curved outwards.
4 meanings: 1. curving or bulging outwards 2. physics having one or two surfaces curved or ground in the shape of a section of.... Click for more definitions.
CONVEX meaning: 1. curved or swelling out: 2. curved or swelling out: 3. curved or swelling out: . Learn more.
