9. Let f(n) = n² and g(n) = n³ +3n²-6n +4, using the textbook definition of O() explain why g(n) is not O(f(n)). 10. Show that constants don't matter in the O() notation by showing that if g(n) = O(f(n)), then cx g(n) = O(f(n)), where e is a positive constant.

9. Let f(n) = n² and g(n) = n³ +3n²-6n +4, using the textbook definition of O() explain why g(n) is not O(f(n)). 10. Show that constants don't matter in the O() notation by showing that if g(n) = O(f(n)), then cx g(n) = O(f(n)), where e is a positive constant.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Let n E N be a natural number with a divisor d E N. If the sum of all of the positive divisors of n is equal to 2n + d, then we call n a near- perfect number. For example, if we have n = 12, then the divisors of n are 1, 2, 3, 4, 6 and 12. Therefore, the sum of the divisors of n is equal to 1+2+3+4+6+12=2*12+4, and 4|12. Hence, 12 is a near-perfect number. Write a function, near_perfect_number, which accepts any integer n as input, and returns True if n is a near-perfect number, and False otherwise.
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4.3-1 Show that the solution of T(n) = T(n − 1) +n is O(n²).
F(x,y.z)= X(Y+Z)+ X.Y.Z[ I
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