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:
>>
>>
>>>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

1. What about my question above?
2. How about f(x)=sqrt(x)? For x>0, it has two answers. Try interpolating on that.

Sincerely,

Gene Wirchenko

Computerese Irregular Verb Conjugation:

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