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A joke in approximating numbers raised to irrational powers

(www.andreinc.net)
104 points nomemory | 1 comments | 18 Nov 24 16:41 UTC | HN request time: 0.212s | 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. sevensor ◴[19 Nov 24 20:56 UTC] No.42188006[source]▶
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).