Consider the following function, such that it is represent an algorithm’s time for execution: f (n) = n^3 + 1 Explain why the following sentence provides no meaningful information about the execution time for the algorithm: “The execution time for the algorithm is at most Ω(n^3).
Consider the following function, such that it is represent an algorithm’s time for execution: f (n) = n^3 + 1 Explain why the following sentence provides no meaningful information about the execution time for the algorithm: “The execution time for the algorithm is at most Ω(n^3).
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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Question
Consider the following function, such that it is represent an
time for execution:
f (n) = n^3 + 1
Explain why the following sentence provides no meaningful information
about the execution time for the algorithm:
“The execution time for the algorithm is at most Ω(n^3).
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Give the order of growth for each of the following:
1. 10n + 100/ lg n
2. n lg n
3. (lg n)n
4. 2n+1
5. n/ lg n
6. lg lg n
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