In <[EMAIL PROTECTED]>, on 03/09/2008
   at 05:41 PM, "John P. Baker" <[EMAIL PROTECTED]> said:

>What you have to remember is that the time required for a sort does not
>grow linearly with the number of records, but is an exponential
>function,

No.

In <[EMAIL PROTECTED]>, on 03/09/2008
   at 06:07 PM, "John P. Baker" <[EMAIL PROTECTED]> said:

>I was using "exponential" in the more general form. 

The more general form is throwing in a multiplicative constant, not
equating exponential to subexponential.


In <[EMAIL PROTECTED]>, on 03/09/2008
   at 07:23 PM, "John P. Baker" <[EMAIL PROTECTED]> said:

>Although many people use e**x to define "exponential", this is not
>correct.

However k*e**x, for k constant, *IS* correct.

>A correct definition of "exponential growth" specifies that the rate of
>growth increases as time progresses or in this case, as the size of the
>input increases.

FSVO correct unknown to the Mathematical community. What you have
described is just superlinear, not exponentual.

>It is not what many consider exponential

Certainly not what anybody in a CS or Mathematics department considers
exponential.

-- 
     Shmuel (Seymour J.) Metz, SysProg and JOAT
     ISO position; see <http://patriot.net/~shmuel/resume/brief.html> 
We don't care. We don't have to care, we're Congress.
(S877: The Shut up and Eat Your spam act of 2003)

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