Show that x^5y^3+x^4y^4+x^3y^5 is Ω(x^3y^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
Related questions
Question
Show that x^5y^3+x^4y^4+x^3y^5 is Ω(x^3y^3).
Expert Solution
Step 1
since above question has 2 variables consider big-omega notation for two variables
Big omega notation:
Ω( g(x , y) ) = f( x, y )
then k * g(x , y) <= f( x, y) for some constants k, x > x0 and y > y0.
According to given problem
g(x , y) = X3 Y3
f(x , y) = X5 Y3 + X4 Y4 +X3 Y5
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