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 .
