In each case briefly explain whether

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Unformatted text preview: e colored differently. ! 5. [Prob 3.2, Pg 56] Prove that, if ! (!) = ! (!(!)) then ! (!) = ! (!(!)). Is the opposite true? 6. [Prob 3.5,Pg 56] Compare the following pairs of functions in terms of order of magnitude. In each case, briefly explain whether ! ! = ! (! ! ), ! ! = Ω(! ! ), and/or ! ! = Θ(! ! ). a) ! ! = 100! + log ! ! ! = ! + (log !)! b) ! ! = log ! ! ! = log !! c) ! ! = !!/! ! ! = (log !...
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This note was uploaded on 04/16/2012 for the course CMSC 351 taught by Professor Staff during the Spring '07 term at Maryland.

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