(A) Asymptotic upper (B) Asymptotic lower (C) Asymptotic tight (D) Asymptotic upper, but not tight (E) Asymptotic lower, but not tight

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
What is the right answer and please explain why
The given equation is:

\( f(n) = \Theta(n^2) \) means that \( n^2 \) is a/an ___ bound for \( f(n) \).

Options:
- (A) Asymptotic upper
- (B) Asymptotic lower
- (C) Asymptotic tight
- (D) Asymptotic upper, but not tight
- (E) Asymptotic lower, but not tight

This expression and its options are meant to test the understanding of asymptotic notation, specifically the meaning of \(\Theta\) notation, which represents a tight bound in algorithm analysis.
Transcribed Image Text:The given equation is: \( f(n) = \Theta(n^2) \) means that \( n^2 \) is a/an ___ bound for \( f(n) \). Options: - (A) Asymptotic upper - (B) Asymptotic lower - (C) Asymptotic tight - (D) Asymptotic upper, but not tight - (E) Asymptotic lower, but not tight This expression and its options are meant to test the understanding of asymptotic notation, specifically the meaning of \(\Theta\) notation, which represents a tight bound in algorithm analysis.
Expert Solution
Step 1

Big O of theta means asymptomatic tight bound.

Big O means asymptomatic upper bound.

Omega means asymptomatic lower bound

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY