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A joke in approximating numbers raised to irrational powers

(www.andreinc.net)
104 points nomemory | 5 comments | 18 Nov 24 16:41 UTC | HN request time: 0.647s | source
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sevensor ◴[19 Nov 24 18:13 UTC] No.42186490[source]▶

    sin x = x
Half the problems in EE become trivial once you learn this. Sometimes the universe does a bad job of complying with the approximation though.
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dotancohen ◴[19 Nov 24 18:51 UTC] No.42186842[source]▶
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

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1. xelxebar ◴[20 Nov 24 02:27 UTC] No.42190301[source]▶
> 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.

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2. seanhunter ◴[20 Nov 24 03:50 UTC] No.42190683[source]▶
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.
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3. brookst ◴[20 Nov 24 13:28 UTC] No.42193766[source]▶
Any sources to Bach that up?
4. selimthegrim ◴[20 Nov 24 14:19 UTC] No.42194118[source]▶
I wonder what Grassmann did
5. xg15 ◴[20 Nov 24 21:08 UTC] No.42198121[source]▶
Was thinking of organ pipes and imagining it as the first tune. Might also be fitting.