Answered: Show that x^5y^3+x^4y^4+x^3y^5 is…

Engineering

Computer Science

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

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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) = X³Y³

f(x , y) = X⁵Y³+ X⁴Y⁴+X³Y⁵

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