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Originally Posted by AntonioLao I am not a mathematician by trade. So, I will be the last person to know the answer to your question. My guesses are
Imaginary exponent of imaginary? not defined
Real exponent of real? trivial Real exponent of imaginary? cyclical between real and imaginary Imaginary root of real? Euler did them
Imaginary root of imaginary? not defined
Real root of real? trivial
Real root of imaginary? not defined completely
Complex root of imaginary? not defined
Complex root of real? not defined
Complex exponent of real? Euler did them
Complex exponent of imaginary? not defined |
Thanks. Although it doesn't solve everything, this post gives me start point for my investigations on lattice and the complex plane. I've now noticed that I've left out a few more possibilities, tell me if they are defined or not, and where to investigate them:
real exponent of complex?
real root of complex?
imaginary exponent of complex?
imaginary root of complex?