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Pentation's definitional ambiguity
#12
(12/15/2009, 08:52 PM)Base-Acid Tetration Wrote: Go in the negative direction from z=-1 in the complex plane. Set the cut lines from even negative numbers run to negativeinfinity; and odd negative numbers to positive infinity. what happens then? your path can just zigzag between the upper and lower half planes without circling any of the singularities once.

If the domain is not simply connected (i.e. each two paths in the domain are homotopic) you probably can not define tetration there.
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Messages In This Thread
Number of branches of tetration - by bo198214 - 10/24/2009, 09:27 AM
RE: Number of branches of tetration - by bo198214 - 10/24/2009, 01:20 PM
RE: Number of branches of tetration - by bo198214 - 10/24/2009, 02:01 PM
RE: Pentation's definitional ambiguity - by bo198214 - 12/15/2009, 10:56 PM

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