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convex set

   Also found in: Wikipedia 0.01 sec.
convex set [′kän‚veks ′set]
(mathematics)
A set which contains the entire line segment joining any pair of its points.


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[XI][intersection]x]) < [infinity] for any compact and convex set K, where #X denotes the minimal number m such that the set X has a representation X = [K.
Now this is a convex quadratic programming problem, since the objective function is itself convex, and those points which satisfy the constraints also form a convex set (any linear constraint defines a convex set, and a set of N simultaneous linear constraints defines the intersection of N convex sets, which is also a convex set).
Youness (3) established that every convex set is E-convex where E is the Identity map.
 
 
 
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