Asymptotic_Notation

Asymptotic_Notation - Asymptotic Notation& Review of...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Asymptotic Notation& eview of Functions Review of Functions 8 October 2008 CS 570
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Θ -notation For function g ( n ), we define Θ ( g ( n )), big-Theta of n , as the set: Θ ( g ( n )) = { f ( n ) : positive constants c 1 , c 2 , and n 0, such that n n 0 , we have 0 c 1 g ( n ) f ( n ) c 2 g ( n ) } Intuitively : Set of all functions that isan symptotically tight bound r have the same rate of growth as g ( n ). asymp - 1 Comp 122 g ( n ) is an asymptotically tight bound for f ( n ).
Background image of page 2
-notation For function g ( n ), we define O ( g ( n )), big-O of n , as the set: O ( g ( n )) = { f ( n ) : positive constants c and n 0, such that n n 0 , we have 0 f ( n ) c g ( n ) } Intuitively : Set of all functions whose rate of growth is the same as r lower than that of g ( n ) is an asymptotic upper bound for f ( n ). or lower than that of g ( n ). = = asymp - 2 Comp 122 f ( n ) = Θ ( g ( n )) f ( n ) = O ( g ( n )). Θ
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/24/2011 for the course CS 570 at USC.

Page1 / 12

Asymptotic_Notation - Asymptotic Notation& Review of...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online