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http://answers.yahoo.com/question/index;_ylt=AmyV7DF8EANzCWGaQXj4PYPsy6IX?qid=20070823012534AAOMso7

Can anybody explain why there should be a discontinuous bifurcation convergence in values for the function x^x^x^x... (to infinity), beginning at x = (1/e)^e, as x approaches 0 from higher values? It looks like a fork like what you see in a water "gas-liquid-solid" phase diagram, to give you a pictorial idea.

2007-08-23 08:10:27 · 1 answers · asked by Scythian1950 7 in Science & Mathematics Mathematics

Yes, that's right, it's a forked function. We don't see very many of those, don't we?

2007-08-23 08:11:44 · update #1

1 answers

Perhaps chaos theory will lead you in the right direction -
butterflies, strange attractors, bifurcations and all that,
which I wish I had the knowledge to apply.

2007-08-23 10:55:58 · answer #1 · answered by falzoon 7 · 2 0

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