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"game" - to calculate 1.00...001 ^^ 0.5 = ?
#16
nuninho1980 Wrote:it's correct!! you get w/ 225 cases decimal. but you calculated still too time to result? Smile
how many digits and many exponents w/ iterations (= n_1^n_2^...^n_k^x) for to evaluate better? do you use maple?

It didn't take that much time at all. The base is very close to 1, which means regular iteration works much better (The natural superlogarithm is very erratic for bases between 1 and eta). Also, I used Mathematica. So I used a 10-term and 15-term regular iteration series (polynomial), compared them, and each took about 3 seconds to evaluate. When they were identical, I assumed all the digits were "significant".

Andrew Robbins
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RE: "game" - to calculate 1.00...001 ^^ 0.5 = ? - by andydude - 04/21/2009, 06:35 PM



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