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с. п(п + 1)/2€ Ө(n) d. n(n + 1)/2 e N (n)

с. п(п + 1)/2€ Ө(n) d. n(n + 1)/2 e N (n)

Database System Concepts
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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Use the informal definitions of O, big theta, and big omega to determine whether the following assertions are true or false.

с. п(п + 1)/2 е Ө (n3) d. n(n + 1)/2 e 2 (n)
Transcribed Image Text:с. п(п + 1)/2 е Ө (n3) d. n(n + 1)/2 e 2 (n)
Expert Solution
Solution for c)

Solution

c) n(n+1)/2 ∈θ(n3)

     To prove the above statement we have to find  c1,c2 and n0 such that 0≤c1g(n)≤f(n)≤c2g(n) for all n≥n0

    here g(n)=n3

The assertion is true

      Computer Science homework question answer, step 1, image 1

hence

The assertion is true

 

 

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