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