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
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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) = XY3

f(x , y)  = X5 Y+ X4 Y4 +XY5

 

 

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