How to show that if x minimizes f over S and x belongs to R, which is a subset of S, then x also minimizes f on R Please help me with this proof. Thank you.
Proofs of mathematical optimization theorems
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optimization
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1If George is the shortest adult in the United States, and George lives in Los Angeles, then George is the shortest adult in Los Angeles. – 2012-05-10
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0@Andre: [...and Los Angeles is in United States](http://en.wikipedia.org/wiki/Los_%C3%81ngeles) – 2012-05-10
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2@Ilya: As opposed to [Los Angeles, Mexico](http://g.co/maps/tdnq8). – 2012-05-10
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0@Jackson I am intrigued as to what exactly do you find troubling in this question. Are you having trouble understanding the question? or Are you having trouble understanding some of the terms involved? – 2012-05-10