Home / Questions / The conver hull of a set of vectors xi1n is the set of all vectors of the form where the c...
The conver hull of a set of vectors x,i-1,... ,n is the set of all vectors of the form where the coefficients a are nonnegative and sum to one. Given two sets of vectors, show that either they are linearly separable or their convex hulls intersect. (Hint: Suppose that both statements are true, and consider the classification of a point in the intersection of the convex hulls.)
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