convex set

(redirected from Convex region)

convex set

[′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
We believe pat pis will be true for any convex region of pe plane but we do not have a proof of pis fact.
As it was depicted in Quelhas' work [26], the 2D SBF could detect rounded convex region in images.
Definition 2.6 Type 1 Beam: A : BC denotes the region of the plane formed by deleting triangle ABC from the convex region in the plane bounded by the rays [??] and [??] (see Fig.
where [bar.C] is the mean chord length of a convex region of area A bounded by a curve L of length L, and [bar.w] is the mean width of L - recall Eq.
A convex region covers a family of arcs if it contains a congruent copy of every arc in the family.
For any non-constant F [member of] BH, F sends the subdisk [absolute value of (z)] < r onto a convex region for r [less than or equal to] [square root of (2)] - 1, but onto a non-convex region for any [square root of (2)] - 1 < r < 1.
(Mixing is represented in composition space as a line connecting two feasible points.) To determine whether a convex region is the feasible region, points along the boundaries are checked to see if a reactor with that feed could extend the region.
Since the nodes lie on the boundary of a convex region, [p.sub.1] and [p.sub.k-1] are the only nodes visible from P k at step (3a), and execution of the step results in a triangulation [T.sub.k] of the first k nodes.
It is clear from the figure that commodity units with quality index values in the convex region may benefit from some purification, i.e., separation into quality 0 material and material of quality at least as great as the point of inflexion if purification is costless.
The concave and convex regions were made pregrooves by using the wire cutting process to control the fracture locations and obtain uniform fragments.
The curves of the sculptures play an allusive role as well, evoking the rolling terrain of the human landscape, particularly the convex regions of the torso.
Many convex regions symmetric about the real axis can be depicted according to definition (4).