One more observation about constants as such:
If we apply infinite (with a> e^(1/e) and even finite (when a<1) real tetration to some numbers and get complex numbers as a result, the constancy of such number a vs. tetration becomes very questionable.
Numbers like e , pi , i , irrationals, periodic decimals etc are not really constants but symbols, as they are incomputable, like infinity and 0.
So far, they have behaved like constants under differentation/integration as long as 3 usual operations only have been involved.
There is no reason to think they remain constants (i.e. has no internal structure) if tetration and higgher operations,as well as intermediate (fractional) and zeration is included.
If there are reasons, I would be happy to hear about them.
Ivars
If we apply infinite (with a> e^(1/e) and even finite (when a<1) real tetration to some numbers and get complex numbers as a result, the constancy of such number a vs. tetration becomes very questionable.
Numbers like e , pi , i , irrationals, periodic decimals etc are not really constants but symbols, as they are incomputable, like infinity and 0.
So far, they have behaved like constants under differentation/integration as long as 3 usual operations only have been involved.
There is no reason to think they remain constants (i.e. has no internal structure) if tetration and higgher operations,as well as intermediate (fractional) and zeration is included.
If there are reasons, I would be happy to hear about them.
Ivars