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Unformatted text preview: k ( x ) = exp (x T x ) is not. 4. Plot the function f ( x ) = cos ( 3 x ). 5sin ( 5 x )+ . 2cos ( 10 x / 4 ) . Estimate how many critical points it has on the interval [ , 2 ] . Now consider g : R 20 R given by g ( x ) = f ( x 1 ) f ( x 2 ) f ( x 20 ) . Show that g ( x ) = is equivalent to f ( x i ) = 0 for all i . From this, estimate how many critical points g has in the cube [ , 2 ] 20 . Clearly there is a potential to have many (irrelevant) local minima. Can you suggest ways of handling problems like this? 1...
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This note was uploaded on 04/01/2012 for the course 22M 174 taught by Professor Davidstewart during the Spring '12 term at University of Iowa.
 Spring '12
 DavidStewart

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