Let be a continuous function. Suppose that is compact and that is compact. Prove that implies dist It's analysis and there isn't an extra class for that unlike the other modules (even though it's considered the hardest). Thnx in advance
Last edited by mr fantastic; December 10th 2011 at 08:08 PM. Reason: Title.
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Originally Posted by maxgunn555 Let be a continuous function. Suppose that is compact and that is compact. Prove that implies dist It's analysis and there isn't an extra class for that unlike the other modules (even though it's considered the hardest). Thnx in advance You know that is compact, and so is compact, so the mapping obtains a minimum value for some . Clearly though otherwise which contradicts .
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