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Subject: Re: Chess and O(1)

Author: Ricardo Gibert

Date: 15:52:08 05/09/01

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On May 09, 2001 at 18:30:36, Dann Corbit wrote:

>On May 09, 2001 at 18:27:45, Ricardo Gibert wrote:
>[snip]
>>Algorithms can assume unbounded input. Programs operate on bounded input. You
>>need to get the distinction clear in your mind if are going to be able to
>>understand what is going on.
>>
>>Unbounded does not mean infinite.
>
>What is the value of your definition then?  It cannot be used to calculate the
>running time of algorithms.  Your definition is simply pointless.

An unbounded vaiable can be instantiated. This is what you do when you "plug in"
numbers into an equation. A person can't understand a mathematical definition
properly, if they don't understand when a variable is bounded or not.

>
>Analysis of algorithms is entirely for the purpose of estimation of running
>time.

Running time, number of steps, space usage, etc. These are not all the same.




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