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dotancohen 7 days ago

Are you familiar with the Taylor series? That's the first organ of the Taylor series, something like two decades ago I checked how accurate it goes past 20 organs:

https://dotancohen.com/eng/taylor-sine.php

xelxebar 6 days ago | parent | next [-]

> That's the first organ of the Taylor series

Guessing that "organ" is a typo for "order", but somehow I kind of like envisioning Taylor series as living organisms, with terms being individual organelles.

Thanks for the smile in the morning.

seanhunter 6 days ago | parent | next [-]

No Taylor liked to communicate the series musically on various organs. IT got expensive and that’s why noone ever goes beyond the first two or three terms.

brookst 6 days ago | parent | next [-]

Any sources to Bach that up?

selimthegrim 6 days ago | parent | prev [-]

I wonder what Grassmann did

xg15 5 days ago | parent | prev [-]

Was thinking of organ pipes and imagining it as the first tune. Might also be fitting.

sevensor 7 days ago | parent | prev [-]

Oh yeah, for sure. And if you like a good time, compare the Taylor series at x=0 for sin(x) to that for exp(jx).