Sounds intriguing! Could we have some examples, please? Tony Hanmer On 12 November 2017 at 07:29, Edward Montague <sciwiseg@gmail.com> wrote:
Lets examine a very basic differential equation :
y' - fn1(x) = 0
this is a test condition that we're interested in , we might even relax this to :
| y' - fn1(x) | < epi , where epi is a small tolerance .
We're quite familiar with this in fractint .
Now suppose that we're able to generate y' and y , as iterated functions . Then when the aforementioned condition is satisfied we have a value for the integral of fn1(x) at x = Pixel ; this being y .
As available , via an earlier post of mine , a general formula for finding the derivative of an iterated function .
Initially this might just be examined as a fractal .
At this stage I really don't know what this might produce ; maybe some interesting fractals . _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint