Big O lausnir � t�lvunarfr��i 2(a) -- Tolvunarfraedi2-04

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Subject: Big O lausnir � t�lvunarfr��i 2(a)

Author:
Hj�lmt�r

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Date Posted: 02:35:59 05/02/04 Sun

�g f�kk eftirfarandi spurningu � t�lvup�sti:

> Er leyfilegt a� nota st�r�fr��igreiningu (svo lengi sem �a� er gert r�tt)
> � lausnum � Big O lausnum.

> T.d. � d�mi 1 �g�st pr�fi 2003:
> a)Nota markgildi til a� s�na a� N � veldi 1,1 deilt me� NlogN stefnir �
> �endanlegt, og �lykta a� N � veldinu 1,1 er ekki Big O?
> b) minnast � a� logN er vaxandi fall og �v� vex N^k/logN h�gar en N^k og
> �lykta a� N^k/logN s� O(N^k) (m� l�ka s�na me� markgildum).
> c)nota markgildi og skipta � tilfelli eftir gildinu a (a=>1 og a<1).

J�, �a� er � lagi, en �tti sjaldnast a� �urfa. � d�minu sem �� bendir � er st�r�fr��igreining hj�lpleg � a)-li�num
(L'Hospital reglan), en �g fer ekki a� krefjast alveg 100% n�kv�mrar st�r�fr��igreiningar�tf�rslu. �etta er ekki
pr�f � St�r�fr��igreiningu!

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