8 how about g n gn 1 9 2 18 3 35 4 68 1000 5 131 100

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Unformatted text preview: ght line, so f is polynomial, but what is its leading term? What is f’s degree? 1000000" n f(n) n2 n3 n4 1 2 1 1 1 2 12 4 8 16 3 36 9 27 81 4 80 16 64 256 5 150 25 125 625 7 400 49 343 2401 10 1100 100 1000 10000 12 1872 144 1728 20736 Compare with n, n2,n3,n4 100000" 10000" f" n*n" 1000" n*n*n" n*n*n*n" 100" 10" 1" 1" 10" 100" f is degree 3, no multiplicative factor (no shift up): f(n)=n3+.. We usually only worry about the leading term. 8 How about g? n g(n) 1 9 2 18 3 35 4 68 1000" 5 131 100" 7 520 10" 10 4106 12 16396 g" 100000" 10000" g" 1" 0" 2" 4" 6" 8" 10" 12" 14" g is linear on semi log plot so exponential what base: compare to 2n, 3n How about g? n g(n) 2n 3n 1000000" 1 9 2 3 2 18 4 9 3 35 8 27 4 68 16 81 1000" 5 131 32 2...
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This note was uploaded on 02/12/2014 for the course CS 475 taught by Professor Staff during the Fall '08 term at Colorado State.

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