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

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 for 1, and is, thus, not a function.

Sincerely,

Gene Wirchenko

Computerese Irregular Verb Conjugation:

     I have preferences.
     You have biases.
     He/She has prejudices.