EDIT: I believe this ratio interpolation yields k raised to the power of the Newton interpolation of the logarithm base k of the points, for all k not equal to one or zero.
In order to do Newton interpolation on a sequence you take the differences of the terms. One could also take ratios of terms instead. Replacing subtraction with division.
One could even find what number they have to raise to the power of one term to go to the next.
They could even use higher hyper-operations.
How do you interpolation like this, when not all of the terms are in a straight line? Like an interpolation that works when not all of the terms are on a straight line. But produces the same interpolation as the ratio interpolation when all of the terms are on a straight line?
In order to do Newton interpolation on a sequence you take the differences of the terms. One could also take ratios of terms instead. Replacing subtraction with division.
One could even find what number they have to raise to the power of one term to go to the next.
They could even use higher hyper-operations.
How do you interpolation like this, when not all of the terms are in a straight line? Like an interpolation that works when not all of the terms are on a straight line. But produces the same interpolation as the ratio interpolation when all of the terms are on a straight line?
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ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\

