Cool.

That raises another question. Let x=0 and y=infinity. Then we have a R(x) b = a R(y) b. Which x's have y's such that a R(x) b is the same as a R(y) b for this interval?

Potentially, if we can find a function that will generate y's from x's, and if some of the x's are real numbers, then we may be able to define a R(n) b for real n such that 0 < n < 1--at least, when b < 0 and a > 1.

Alex

That raises another question. Let x=0 and y=infinity. Then we have a R(x) b = a R(y) b. Which x's have y's such that a R(x) b is the same as a R(y) b for this interval?

Potentially, if we can find a function that will generate y's from x's, and if some of the x's are real numbers, then we may be able to define a R(n) b for real n such that 0 < n < 1--at least, when b < 0 and a > 1.

Alex