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Subject: Re: O(1) garbage

Author: Dann Corbit

Date: 15:52:10 05/15/01

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On May 15, 2001 at 18:14:05, David Rasmussen wrote:
[snip]
>Well, several textbooks disagree with you in Big-O not being about asymptotic
>behavior, but I'm to tired to go into that now, as I'm sure you know what I
>mean, and that we basically do not disagree. Do you want me to elaborate?

The big-O notation is used to describe how an algorithm performs as n grows
large.  What large means is purely a function of what the big-O type is.

If q(n) is O(exp(n)), then "large" is a small number.  50 is unthinkable, for
instance.

If q(n) is O(log(log(n))), then "large" is an enourmous number.  One quintillion
is not a problem in the slightest, for instance.

I think everyone really knows what everybody means by now.  We seem to be
quibbling about semantics but when it boils down to it -- we all know where
everyone else is coming from (I think).  Or at least we ought to.

I think everyone has valid points.  It is hard for me to imagine pure math uses
for big-O, but then again, my degree was in applied math.
;-)




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