Answer by juan for Computing digits of irrational exponentiation
I do not think there is an algorithm (or you have to change somethingto allow algorithms that never end with some data). Consider the two numbers $$a=(3/2)^\sqrt{2}=1.77431468418218794421950\dots\quad...
View ArticleAnswer by Gerhard Paseman for Computing digits of irrational exponentiation
The "standard" method should be along the lines of "forming" an approximation of a and b from their digit representations, then computing exp(b* log(a)) using standard routines for approximations. You...
View ArticleComputing digits of irrational exponentiation
Let us have positive irrational numbers $a$ and $b$ represented by functions $f_a,f_b\colon\mathbb{N}\to\mathbb{N}$ respectively such that $f_a(0)=\left \lfloor{a}\right \rfloor$ and $f_a(i)$, $i>0$...
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