Consider iterations of exponentials of a fixed height. Also called growth.
For instance semi-exponentials.
In algebra the main thing is Sum and product.
Kinda.
When we consider asymptotics i call it pseudoalgebra.
So for semiexp we get the natural questions such as
The best fit ( given by the symbol = )
\( Exp_2^{[0.5]}(x) Exp_3^{[0.5]}(x) Exp_5^{[0.5]}(x) = Exp_y^{[0.5]}(x) \)
Where y is the value we seek and x > 1.
This is - for clarity - an asymptotic equation for bases ( 2,3,5,y).
It reminds me of base change and others.
How about these ?
How to find such identities ?
Regards
Tommy1729
For instance semi-exponentials.
In algebra the main thing is Sum and product.
Kinda.
When we consider asymptotics i call it pseudoalgebra.
So for semiexp we get the natural questions such as
The best fit ( given by the symbol = )
\( Exp_2^{[0.5]}(x) Exp_3^{[0.5]}(x) Exp_5^{[0.5]}(x) = Exp_y^{[0.5]}(x) \)
Where y is the value we seek and x > 1.
This is - for clarity - an asymptotic equation for bases ( 2,3,5,y).
It reminds me of base change and others.
How about these ?
How to find such identities ?
Regards
Tommy1729