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Partial Differential Equation for power-towers - kobi_78 - 02/01/2010
Hi, I found a pde for power towers of any height. The equation is as following: Define And Where Then every satisfies: I don't understand anything about pdes so I don't know if this says any thing, but I wanted to share it with you guys. I guess we can somehow use this equation to extend natural iteration monomial for larger bases, but I don't really know. Kobi RE: Partial Differential Equation for power-towers - mike3 - 02/02/2010
Hmm. Well if this is the case, then could that mean that there may be a continuum of solutions? If so, could that allow us to define for real and complex values of , thereby yielding for such heights? |