08/29/2007, 01:56 AM

For comparison, here's a graph of the very generic solution of T(x) = x+1 for the critical interval (-1, 0]:

And the detailed view, S(T(x))-x:

As you can see, even this generic, low-tech solution is accurate to within plus or minus 1%. In fact, the error in my solution is only about 10 times smaller. So perhaps not so good after all.

And in this case, the cyclic curve is clearly not a sine curve.

And the detailed view, S(T(x))-x:

As you can see, even this generic, low-tech solution is accurate to within plus or minus 1%. In fact, the error in my solution is only about 10 times smaller. So perhaps not so good after all.

And in this case, the cyclic curve is clearly not a sine curve.

~ Jay Daniel Fox