05/20/2014, 12:27 PM
For improving the 2sinh method so that it works for all bases > eta and other improvements I consider :
2sinh(fake id(x))
fake id(x) behaves like e/2 x for small x, like x for large real and like 0 for large imaginary part.
SO what is the best fake id(x) ? Remember we only want a single fixpoint (2sinh(fake id(x))=x) for any base.
maybe id(x) = exp(fakelog(x)) ...
Thinking...
regards
tommy1729
2sinh(fake id(x))
fake id(x) behaves like e/2 x for small x, like x for large real and like 0 for large imaginary part.
SO what is the best fake id(x) ? Remember we only want a single fixpoint (2sinh(fake id(x))=x) for any base.
maybe id(x) = exp(fakelog(x)) ...
Thinking...
regards
tommy1729