New Sum of Powers Log Function
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04-02-2021, 01:29 AM
(This post was last modified: 04-02-2021 10:27 AM by Albert Chan.)
Post: #21
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RE: New Sum of Powers Log Function
(04-01-2021 11:55 PM)Namir Wrote: I am looking to solve for x given all other parameters--n, s, scale. I guess the only sure way is to actually do the sum. Because of the power-law nature of functions, we should use log scale, like before. I have no idea what should be the right guess for it, so I just start with g=1. Note that guess is evaluated twice. This is a fluke of mpmath, to simplify code. The branched solver(s) re-calculated from the same guess again. Code: from mpmath import * >>> n, b = 100, 0.8 >>> s = nbx_to_s(n, b, 1.6) # = 2238.0808062735837 >>> x = nbs_to_x(n, b, s) 1.0 1.0 1.25 1.69268857579 1.59352468855 1.5999199506 1.60000007609 1.6 >>> s = nbx_to_s(n, b, 16) # = 1.0000003500527855e+32 >>> x = nbs_to_x(n, b, s) 1.0 1.0 1.25 23.7615084486 15.9522719123 15.999999997 16.0 16.0 |
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