Problem 1. [Category: Asymptotic notations] In this question, you are asked to compare pairs of functions, and for each pair (f(n), g(n)), and each X € {O,N,O}, say whether f(n) E X(g(n)) or not. The first entry has been given, reflecting that n² e O(n³). _f(n) lg(n!) g(n) Ig(n) YES YES YES n2 lg(n) n log, (n) n log3 (n) 2n n100 2n 2(n+2)

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
icon
Related questions
Question

PLEASE DO ASAP


Analysis of Algorithms 

Problem 1. [Category: Asymptotic notations] In this question, you are asked to compare pairs of functions,
and for each pair (f(n), g(n)), and each X € {0,n,0}, say whether f(n) E X(9(n)) or not. The first entry
has been given, reflecting that n² e O(n³).
f(n)
lg(n!)
g(n)
lg(n)
YES
YES
YES
n2
n
lg(n)
n log; (n) n log3 (n)
2n
n100
2n
2(n+2)
Transcribed Image Text:Problem 1. [Category: Asymptotic notations] In this question, you are asked to compare pairs of functions, and for each pair (f(n), g(n)), and each X € {0,n,0}, say whether f(n) E X(9(n)) or not. The first entry has been given, reflecting that n² e O(n³). f(n) lg(n!) g(n) lg(n) YES YES YES n2 n lg(n) n log; (n) n log3 (n) 2n n100 2n 2(n+2)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education