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June 22nd, 2012, 09:24 AM   #1
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Convex combination

Hi,
I need to find such A and B so that the following statement will be true


I would be thankful for any advice on this.
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June 22nd, 2012, 12:29 PM   #2
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Re: Convex combination

Simple example (2 dimension): A = {(-1,0),(1,0)}, B = {(0,-1),(0,1)}.
Conv(A) is interval from -1 to 1 along x axis, Conv(B) is interval from -1 to 1 along y axis, Conv(A?B) is diamond shaped object with corners at the points of A and B.
Conv(A)?Conv(B) is just the union of the two intervals.
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