convex set

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convex set

[′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.
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.
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 [?
7 Type 2 Beam: AB : CD denotes the region of the plane formed by deleting convex 4-gon ABCD from the convex region in the plane bounded by the segment [bar.
C] is the mean chord length of a convex region of area A bounded by a curve L of length L, and [bar.
C] of a convex region of volume V, bounded by a closed convex surface S of surface area S:
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.
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.
It is clear from the figure that commodity units with quality index values in the convex region may benefit from some purification, i.
Equation (1) says that in the convex region the market provides an incentive to separate the good from the bad because the total value of the parts (i.
Duran's topics include general properties of harmonic mappings, harmonic mappings into convex regions, harmonic self-mappings of the disk, harmonic univalent functions, external problems, mapping problems, minimal surfaces and curvature of minimal surfaces, with particular attention to the Weierstrass-Enneper representation.
the resulting segments (with no end points), vertices (end points), and the convex regions (not containing segments or vertices but having them as boundaries) form the tessellation.