Real and complex tetration Daniel Fellow Posts: 247 Threads: 79 Joined: Aug 2007 08/16/2022, 09:55 AM WARNING: Religious topic discussed!!! Is real tetration dependent on complex tetration? Could real tetration exist without complex tetration? Daniel JmsNxn Ultimate Fellow Posts: 1,176 Threads: 123 Joined: Dec 2010 08/17/2022, 01:56 AM (08/16/2022, 09:55 AM)Daniel Wrote: WARNING: Religious topic discussed!!! Is real tetration dependent on complex tetration? Could real tetration exist without complex tetration? Very difficult. There exists Smooth real tetration; but it isn't analytic--and there are uncountably many of these. The trouble is, we can also make uncountably many real analytic tetrations by just adding a well behaved enough $$\theta$$ mapping. By which; these wouldn't succumb to the complex uniqueness conditions though. So No, real tetration is not dependent on complex tetration. It's just that complex tetration allows us the only confirmed construction--and allows us the uniqueness conditions we so love. « Next Oldest | Next Newest »

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