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From: Manuel Collado <m.collado@domain.invalid>
Subject: Re: My Invention of "Bug Sort".
Date: Thu, 21 Jun 2012 09:23:12 +0200
Date: 2012-06-21T09:23:12+02:00	[thread overview]
Message-ID: <jruibm$gn2$1@speranza.aioe.org> (raw)
In-Reply-To: m2lijhs0vn.fsf@pushface.org

El 21/06/2012 7:13, Simon Wright escribi�:
> "Jeffrey R. Carter"<ggsub@pragmada.co.cc>  writes:
>
>>> 2 ) In "O(N log N)" do I assume log to the base 'e' or what.
>>
>> In "Big-O" notation, log is understood to be to the base 2.
>
> Isn't there a constant factor between log2(x) and ln(x)? Which is taken
> up in the O?
>
>     N = e**x = 2**y
>
> Taking natural logs,
>
>     ln N = x = y.ln 2

Yes. In "Big-O" notation, the base for log() is irrelevant.

   O(log N) = O(ln N)

Both expressions denote exactly the same set of functions.

-- 
Manuel Collado - http://lml.ls.fi.upm.es/~mcollado




  reply	other threads:[~2012-06-21  7:26 UTC|newest]

Thread overview: 35+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2012-06-19  7:13 My Invention of "Bug Sort" Austin Obyrne
2012-06-19 11:55 ` Peter C. Chapin
2012-06-19 13:01   ` Austin Obyrne
2012-06-19 22:39 ` ggsub
2012-06-20  8:32   ` Austin Obyrne
2012-06-20 19:45     ` ggsub
2012-06-20 10:57   ` Austin Obyrne
2012-06-20 12:47     ` Manuel Collado
2012-06-20 12:51       ` Manuel Collado
2012-06-20 13:13         ` Manuel Collado
2012-06-20 15:17         ` Austin Obyrne
2012-06-22 20:31           ` Randy Brukardt
2012-06-20 19:38     ` ggsub
2012-06-20 23:59   ` Austin Obyrne
2012-06-21  1:17     ` Jeffrey R. Carter
2012-06-21  5:13       ` Simon Wright
2012-06-21  7:23         ` Manuel Collado [this message]
2012-06-21 11:50           ` Austin Obyrne
2012-06-21 12:09             ` Dmitry A. Kazakov
2012-06-22 20:37               ` Randy Brukardt
2012-06-22 21:16                 ` Simon Wright
2012-06-26 22:29                   ` Randy Brukardt
2012-06-28 19:05                     ` Niklas Holsti
2012-07-03  2:05                       ` Randy Brukardt
2012-06-28 20:59                     ` Simon Wright
2012-07-03  2:11                       ` Randy Brukardt
2012-07-03  9:47                         ` Simon Wright
2012-06-21 18:45             ` Jeffrey Carter
2012-06-22  6:52               ` Austin Obyrne
2012-06-21 15:10         ` Adam Beneschan
2012-06-21 18:24         ` Jeffrey Carter
2012-06-21  7:24       ` Austin Obyrne
2012-06-19 22:56 ` Martin Trenkmann
2012-06-20  0:11 ` robin.vowels
2012-06-20  8:51   ` Austin Obyrne
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