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[Regular tetration] [Iteration series] norming fixpoint-dependencies
#10
ahh

i think ....

f(z) is NOT periodic , ONLY in the interval [z,z^^2] IF f(z) = 0.

meaning that not only f(z) = f(z^^2) = 0 but also

f(z+(z^^2-z)/2) = = f(z/2 + z^^2 /2) = f(z) = 0.

hmm.

f(z) = f(z^^2). for all z.

f(z) = - f(z^z) right ?

but if f(z) = f(z^^2) = 0 then - f(z^z) must be 0 but z^z is not in the middle of z and z^^2.

i.e. z<> z^z => z^z =/= (z + z^^2)/2.

or ... is that the equation to solve for f(z) = 0 ??

man your f(z) is weird ! Smile
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Messages In This Thread
RE: [Regular tetration] norming fixpoint-dependencies - by tommy1729 - 08/30/2010, 11:14 PM

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