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For two functions f(n) and g(n), if there exist constants c, n >0 such that, for all n≥n, f(n) ≤c · g(n), what can we say about 0 the asymptotic relationship between f(n) and g(n)? O a. f(n) = (g(n)) O b. f(n) = O(g(n)) ○c. g(n) C. = 0(f(n)) Od. f(n) = (g(n)) O e. None of the above

For two functions f(n) and g(n), if there exist constants c, n >0 such that, for all n≥n, f(n) ≤c · g(n), what can we say about 0 the asymptotic relationship between f(n) and g(n)? O a. f(n) = (g(n)) O b. f(n) = O(g(n)) ○c. g(n) C. = 0(f(n)) Od. f(n) = (g(n)) O e. None of the above

Database System Concepts
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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For two functions f(n) and g(n), if there exist constants \( c, n_0 > 0 \) such that, for all \( n \geq n_0 \), \( f(n) \leq c \cdot g(n) \), what can we say about the asymptotic relationship between f(n) and g(n)? a. \( f(n) = \Omega (g(n)) \) b. \( f(n) = O (g(n)) \) c. \( g(n) = O (f(n)) \) d. \( f(n) = \Theta (g(n)) \) e. None of the above
Transcribed Image Text:For two functions f(n) and g(n), if there exist constants \( c, n_0 > 0 \) such that, for all \( n \geq n_0 \), \( f(n) \leq c \cdot g(n) \), what can we say about the asymptotic relationship between f(n) and g(n)? a. \( f(n) = \Omega (g(n)) \) b. \( f(n) = O (g(n)) \) c. \( g(n) = O (f(n)) \) d. \( f(n) = \Theta (g(n)) \) e. None of the above
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