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Unformatted text preview: G at x says that, given 2 > 0, for b x b < 2 we can write G ( x + x ) = y + DG x ( x ) + E 2 ( x ) 8 Another way to get at the existence of such a number (without necessarily getting the estimate in terms of entries of [ L ]) is to note that the function f ( x ) = b L ( x ) b is continuous, and so takes its maximum on the (compact) unit sphere in R n . We leave you to work out the details (Exercise 4 )....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.
 Spring '08
 ALL
 Calculus, Transformations

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