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Big O Notation

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Issue:

Technology

 

Written by:

Sheila J

 

Date added:

July 18, 2016

 

Level:

University

 

Grade:

A

 

No of pages / words:

3 / 757

 

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4017 times

 

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105) Big-O basically means that t(n) asymptotically (only for large n) grows not faster than g(n) (give or take a constant factor). The order of growth of t(n) is not larger than g(n). When put in terms of order of growth, f = O(g) is like "f <= g." When two searching algorithms are compared, both the worst and average time is O(n) for a sequential search and O(log2 n) for the binary search...
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(Sestoft, p. 110) Big-O notation is concerned with what happens for very large values of N, therefore only the largest term in a polynomial is needed. All smaller terms are dropped. For example, the number of operations in some sorts is N2 - N. For large values of N, the single N term is insignificant compared to N2, therefore one of these sorts would be described as an O(N2) algorithm...
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