L10_bigO - 1-1COMP170Discrete Mathematical Toolsfor...

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Unformatted text preview: 1-1COMP170Discrete Mathematical Toolsfor Computer ScienceBig O NotationVersion 2.1: Last updated, Nov 3, 20082-1A quick and dirty Introduction tobig O Notation2-2A quick and dirty Introduction tobig O Notation(You’ll see more details in COMP171 and COMP271.)2-3A quick and dirty Introduction tobig O NotationWhich function is ”bigger”?110n2or100n+ 10000(You’ll see more details in COMP171 and COMP271.)2-4A quick and dirty Introduction tobig O NotationWhich function is ”bigger”?110n2or100n+ 10000(You’ll see more details in COMP171 and COMP271.)Answer depends upon value ofn.2-5A quick and dirty Introduction tobig O NotationWhich function is ”bigger”?110n2or100n+ 10000(You’ll see more details in COMP171 and COMP271.)Answer depends upon value ofn.In Computer Science we are usually interestedin what happens when our problem input sizegets large.3-1110n2100n+ 100004-1Notice that whennis ”large enough”110n2gets much bigger than100n+ 10000andstays larger.4-2Functionf(n) =O(g(n)):Notice that whennis ”large enough”110n2gets much bigger than100n+ 10000andstays larger....
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This note was uploaded on 08/25/2010 for the course COMP COMP170 taught by Professor M.j.golin during the Spring '10 term at HKUST.

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L10_bigO - 1-1COMP170Discrete Mathematical Toolsfor...

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