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Functional super-iteration and hierarchy of functional hyper-iterations
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(05/03/2009, 07:21 PM)Tetratophile Wrote: For the function x -> x+1, you simply hyper-n-iterate the function f x0+1 times at x=x0, (eg. at x=2 you iterate 3 times, and at x=3.5 you iterate 4.5 times etc.) So I don't think that a non-constant function in the second argument would behave differently from a constant function in this respect.

If we take the equations as recursive definitions then is only defined for functions in the second argument that are constant. Thatswhy I proposed the different version.

Quote:Also would not be true, because at n=0,

Ok, I also made another mistake in the previous posting, so here again the recursive definition

.

and

From that follows







....
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Messages In This Thread
RE: Functional super-iteration and hierarchy of functional composition-based operations - by bo198214 - 05/03/2009, 08:13 PM

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