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Guntius.GIBLI@xxxxxxxxx wrote:
> Hi all,
> I've a big unaswered question for you...
>
> Suppose you have a list of points into a 3 dimesion space (we to stay
> simple but not obvious).
> We would like to have a function that exactly passes by all these
> points, but we do not care
> what it does outside these points.
>
> example
> p0 = 1,1,1
> p1 = 2,2,2
> p3 = 3,3,3
>
> f(1,1) = 1
> f(2,2) = 2
> f(3,3) = 3
>
> how can we build this function?
This is not well posed. What does "passes by all these points"
mean?
As for building a function, you have already defined it!
z = f(x,y) with f(1,1) = 1, f(2,2) = 2, f(3,3) = 3. This IS your
function.
This is a well defined function. You said you did not care about its
values elsewhere, so clearly it is not unique. What's the problem?
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