Select the function that is not (n²).O1) 2n0 2)O2) nlogn +3n²3) n!4) nlogn+loglogn

Answered: Select the function that is not (n²).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

Select the function that is not (n²).
O
1) 2n
0 2)
O
2) nlogn +3n²
3) n!
4) nlogn+loglogn

Expert Solution

Step 1: Definition of Omega

The Big Omega ( $straight capital omega$ ) notation represents the lower bound of the time complexity of an algorithm. An algorithm/function $f not stretchy left parenthesis n not stretchy right parenthesis$ is said to be $straight capital omega not stretchy left parenthesis g not stretchy left parenthesis n not stretchy right parenthesis not stretchy right parenthesis$ if there exists a positive constant $c$ and a value of $n subscript 0$ such that $f not stretchy left parenthesis n not stretchy right parenthesis greater or equal than c times g not stretchy left parenthesis n not stretchy right parenthesis$ for all $n greater or equal than n subscript 0$ .