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Apr
12
awarded  Popular Question
Jul
2
awarded  Curious
Dec
20
comment Calculate base and coefficient for power curve through 3 non-linear points
Thanks. I had another problem that apparently also requires Newton's method to solve. I have a personal friend who's up on them. Time to speak to him. I appreciate your time & help.
Dec
20
accepted Calculate base and coefficient for power curve through 3 non-linear points
Dec
20
comment Calculate base and coefficient for power curve through 3 non-linear points
Thanks for your answer. So basically, the bottom line is there isn't a straightforward formula. My current algorithm takes about 131 steps to get the result accurate to the maximum 64 bit floating point resolution, guaranteed.
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 72 characters in body
Dec
19
comment Calculate base and coefficient for power curve through 3 non-linear points
Whatever the value of B, it results in x mapping to the second bucket (#1, #0 being first).
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
deleted 8 characters in body
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 95 characters in body
Dec
19
comment Calculate base and coefficient for power curve through 3 non-linear points
$r$ is part of the unknown formula that I need in order to find $b$ and $R$. Yes, I could scrap $r$ and call it $B$. The graph should be stepped, but I was merely trying to show it's curved. Maybe I should remove it.
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 270 characters in body
Dec
19
comment Calculate base and coefficient for power curve through 3 non-linear points
I hope my edits help clarify the question. $r=B$
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 270 characters in body
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
deleted 48 characters in body
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 123 characters in body
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 133 characters in body
Dec
19
revised Calculate base and coefficient for power curve through 3 non-linear points
added 133 characters in body
Dec
19
comment Calculate base and coefficient for power curve through 3 non-linear points
Why the downvote? Only useful with explanation.
Dec
19
asked Calculate base and coefficient for power curve through 3 non-linear points
Sep
5
revised Formula for intersection of “power” curve and parabola.
added 15 characters in body