Definition of convex in English English dictionary
such that the value at any point, is no larger than the interpolated value thereat, based on the values at any two points between which the first point is contained
such that for any two points in the set, every point between those two points is also in the set
A term to describe an outline which curves outward Synonymous with excurvate and the opposite of concave Suggested that this term only be used to describe basal edges
Convex is used to describe something that curves outwards in the middle. the large convex mirror above the fireplace. concave. curved outwards, like the surface of the eye concave (convexus)
A closed set in which a line segment between any two points in the set is also in the set For example, the set of feasible solutions to a linear programming problem is convex
A convex polygon or polyhedron is one where any line segment drawn from a point inside the shape to another point inside the shape, will lie entirely within the shape
A region in the plane, in Euclidean space, or in some other geometry with lines such as hyperbolic space, is convex if it always contains the line segment connecting two points if it contains the two points themselves A convex body is, technically, a closed and bounded convex set with non-zero volume
(of a real-valued function on the reals) such that the value at any point, is no larger than the interpolated value thereat, based on the values at any two points between which the first point is contained
Rising or swelling into a spherical or rounded form; regularly protuberant or bulging; said of a spherical surface or curved line when viewed from without, in opposition to concave
Wood that curves or bulges outwardly edge to edge when viewed from the face side, an outward curve like the surface of a ball If the material is not too dry and the curve is minor this material is usable for many projects since it can be flatted with center fastening Another way to save such material is by surface planing; first with the concave side up, then with the other side
(of a set) The intersection of all convex supersets (which can be limited to halfspaces) Equivalently, the set of all convex combinations of points in the set (which can be limited to convex combinations of at most n+1 points, in n dimensions, which is known as Carathéodory's Theorem)
The surface of minimum area with convex (outward-bowing) curvature that passes through all the spatial points in a set In three dimensions, this set must contain at least four non-coplanar points to make a closed surface with nonzero enclosed volume
The surface of minimum area with convex (outward-bowing) curvature that passes through all the points in the set In three dimensions, this set must contain at least four non-coplanar points to make a closed surface with nonzero enclosed volume
The convex hull of a bounded subset of a 2D plane is the convex set of smallest area that contains the original set If one thinks of the points of the original set as pegs on a board, then the convex hull would be those points interior to a rubber band stretched around the pegs