On 10/2/07, David Vincent-Jones <[EMAIL PROTECTED]> wrote:
> The concept of alternate curves s0ounds quite appealing.
>
> Simply using x and y is of course obvious .. I just felt that my entire
> kluge was very ungainly and I hoped that somebody could suggest a method of
> flexing the curve in a similar fashion but with a more elegant function.
>
> For instance the very idea of needing to start with 10+i.25 riles me somehow
> .. just not clean.

Have you thought of using a polynomial?

For example, perhaps something like this?
   >.(%*:p:i.5) p. i. 15
1 1 1 3 5 10 18 30 48 74 109 155 214 290 384

or maybe

   <.(%^i.4) p. i. 17
1 1 2 4 7 12 18 27 38 51 67 87 110 138 169 204 245

That said, note that your original expression is
   >.(((10+i.25)%7.15)^6.5)%100
and that 10 is approximately 7.15, so this expression is almost
   >.(((7.15+i.25)%7.15)^6.5)%100
which you could rearrange as
   >.((1+(i.25)%7.15)^6.5)%100

This drifts the high end somewhat, but I'm not sure how significant
that is -- it could be "corrected" in a variety of ways, depending
on what it is you want.

Also, further algebraic manipulations are also possible, though I'm
not quite sure what you really want out of this, and that matters.

-- 
Raul
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