- #1

- 153

- 3

f(x1) = f(x0)

f(x2) = f(x1)

f(x4) = f(x3)

f(x0) = f(x4)

I have two questions related to this:

- Do sets of values that are related by these types of loops, have a name?

- Do these types of convergents have any practical applications?

Reason I ask is that I'm playing around with ideas for a "loopless" computer language and have come up with a few formulas that can eliminate iteration in specialized cases but these "poly-convergents" have always interested me as a potential way to directly calculate more complex states. Problem is though, I don't know what they're called.

Thanks for any info