Re: A new proof of the superiority of set oriented approaches: numerical/time serie linear interpolation

Gene Wirchenko wrote:

> Bob Badour <bbadour_at_pei.sympatico.ca> wrote:
>
>

>>Gene Wirchenko wrote:
>>
>>
>>>Bob Badour <bbadour_at_pei.sympatico.ca> wrote:
>>>
>>>[snip]

>>>>Interpolation has a number of other traps. Suppose one evaluates:
>>>>f(x) = (x-1)/(x-1) at x=0 and x=2. One will reach a vastly wrong 
>>>>conclusion if one even tries to interpolate f(1).
>>>
>>>     What about if we limit it to functions?  Your f is not a
>>>function, because 1 is not in the domain.  (I am assuming a general
>>>(for lack of a better word) domain, such as N, Z, Q, or R.)
>>
>>If 1 were not in the domain, one would have no desire to interpolate to 
>>it in the first place. That sounds like ignoring the problem by defining 
>>it out of existence.


> 

>      If 1 is in the domain, then f(x) does not have a defined value

I don't recall claiming that f(x) was a function. I recall claiming it was a trap for interpolation. Received on Thu May 03 2007 - 19:44:38 CEST