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 ?
n] be symmetric with non empty interior Harmonically convex set and let [phi] : [OMEGA] [right arrow] [R.
In the second paper the authors Cai Huaxian, Tian Tian and Cai Yilin studied the optimization problem with nonlinear constrained convex set by the application of nonlinear neural network.
Assuming that we have at our disposal an algorithm called CircumRatio(X,Y), determining the scale ratio to apply to a convex set X to circumscribe it to a convex set Y, the algorithm estimating the similarity degree between two shapes is the following:
In fact, the entire class of controllers attaining polytopic or interval specifications is obtained as a convex set which offers further advantages to the designer.
As a convex set, the image of the energy-Casimir map is convexly generated by the images of the stable equilibrium of system (1), namely,
A nonempty, closed, convex set P _ E is said to be a cone provided the following conditions are satisfied:
Youness (3) established that every convex set is E-convex where E is the Identity map.
It is difficult to list them all, but his early works are sprinkled with convex set theory, fixed point theorem, and partial ordering; and his later works made use of topology, measure theory, and non-standard analysis.
n] is normal to the open convex set C [subset of equal to] [R.