CSE 2321 Lecture 21: Lecture 21

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Published on 3 Nov 2019
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LECTURE 21
GCBigheta
CND is the set of functions wthe
same order of growth as gCn
So gCn is asymptoticallytight bound
for fan
gcn fun there exist positive constants
Ct Cz and nSuch that for all
nzNo
OEC gcn cFaik ca gCn
rogan
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pg
Ex prove that n2t5nt7 0na
Pf when nIFIinen
1h2 En5N 7In 25of t7h2 13h2
gfGg
fo n5n7h2 by def of 0
with no ClDca 13
EX prove that n5 th tf nthe Cns
Properties of the Notations
thru fCh a0cgCn iff Fcn 0cgCn
Fcn regard
PI Exc Proof follows from the defns
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