Another Ramanujan Trick
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10-02-2019, 11:14 PM
Post: #12
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RE: Another Ramanujan Trick
(10-02-2019 04:03 AM)Gerson W. Barbosa Wrote: I would consider one 4 and the two instances of -6 as functions (fourth root and the reciprocals of sixth roots). The fourth root would be the function nthroot(4,x) so the nthroot would be one function and the 4 would be one digit. Same with the various -6, they would be power(-6,x), i.e: one function, power, and one-digit argument, -6. And that 's being generous and not counting the "-" as one unary operation. Else, you could have 2^1,651496129472 = 3,141592653589+ and claim that the underlined power is just one function. Nope. Quote:But I have yet another trick up my sleeve: You forgot to include the <justjoking> ... </justjoking> tags. If something as immensely complicated as a function capable of finding the real part of one root of a 34th degree polynomial with 32 zero coefficients and 3 real-valued coefficients is to be counted as just one function applied to 3 parameters then you can go the whole hog and simply use: 4*arctan(1) = 3,1415926535897932384626433832795+ which uses just 2 digits and one function, which is many orders of magnitude simpler than your function which gives the root of the 34th-degree polynomial, and further agrees with infinitely many correct digits of Pi. Anyway, quite ingenious on your part, but hopelessly useless as a simple approximate formula. Best regards. V. . All My Articles & other Materials here: Valentin Albillo's HP Collection |
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