June 22nd, 2012, 09:24 AM  #1 
Senior Member Joined: Apr 2012 Posts: 106 Thanks: 0  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. 
June 22nd, 2012, 12:29 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,755 Thanks: 695  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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combination, convex 
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