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3. What this proof is claiming is correct, but there's something in the proof that's wrong. Find that incorrect statement in the proof: We want to disprove that N7 = O(N*). For this to be tree, it must be the case that N s c* Nª for some c > 0. But N s Nª won't be true ever because the 7 exponent causes N7 to always be bigger.

3. What this proof is claiming is correct, but there's something in the proof that's wrong. Find that incorrect statement in the proof: We want to disprove that N7 = O(N*). For this to be tree, it must be the case that N s c* Nª for some c > 0. But N s Nª won't be true ever because the 7 exponent causes N7 to always be bigger.

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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3. What this proof is claiming is correct, but there's something in the proof that's wrong. Find that incorrect statement in the proof: We want to disprove that N7 = O(N4). For this to be tree, it must be the case that N' s c* Nª for some c > 0. But N' s N* won't be true ever because the 7 exponent causes N? to always be bigger.
Transcribed Image Text:3. What this proof is claiming is correct, but there's something in the proof that's wrong. Find that incorrect statement in the proof: We want to disprove that N7 = O(N4). For this to be tree, it must be the case that N' s c* Nª for some c > 0. But N' s N* won't be true ever because the 7 exponent causes N? to always be bigger.
Expert Solution
Step 1

Big-oh notation

For disproving N7=ON4, We want to check upper bound condition in the function.

Big-oh notation is used to check the upper bound of an algorithms running time.

For a non negative functions f(n), and g(n) then if there exists an integer n0 and a constant c>0 such that for all integer n>n0.

fn⩽cgn 

That is fn∈Ogn

The set of functions, which as n gets large, grow n0 faster than a constant times of f(n).

 

 

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