| ▲ | sevensor 7 days ago |
| 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 7 days ago | parent | next [-] |
| 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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| ▲ | 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. | | | |
| ▲ | xg15 5 days ago | parent | prev [-] | | Was thinking of organ pipes and imagining it as the first tune. Might also be fitting. |
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| ▲ | sevensor 6 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). |
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| ▲ | setopt 7 days ago | parent | prev | next [-] |
| Since e^(2πi) = 1, we can also conclude that e^(2πifx) = 1^(fx). This makes Complex Fourier Transforms quite trivial. |
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| ▲ | m463 7 days ago | parent | prev | next [-] |
| pi = 3.2 (that is an assignment statement) https://en.wikipedia.org/wiki/Indiana_pi_bill |
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| ▲ | wmwmwm 6 days ago | parent [-] | | My aero engineering friend from university winds me up every time I see him saying that pi = 22/7 - I finally stopped getting angry, checked and it’s pretty good! I’m still glad he didn’t decide to design planes after he graduated though! | | |
| ▲ | nomemory 6 days ago | parent | next [-] | | Fun fact, in the book Life Of Pi, the kid stays exactly 227 days on the boat with the tiger. | |
| ▲ | defrost 6 days ago | parent | prev [-] | | That was a near miss for the industry, real aerospace nerds use 355/113 ... |
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| ▲ | pkoird 7 days ago | parent | prev [-] |
| I am not sure I understand. Sin(x) approaches x only when x approaches 0. When else does the universe does a bad job with this approximation? |
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| ▲ | adgjlsfhk1 7 days ago | parent | next [-] | | the joke is that sometimes the universe is bad at making sure x always approaches 0. | |
| ▲ | philipov 7 days ago | parent | prev [-] | | sin(x)=x in the same way that c=π=1 when doing cosmology. | | |
| ▲ | bubblyworld 7 days ago | parent [-] | | At least you can often recover the constants after the fact with dimensional analysis in cosmology =P | | |
| ▲ | mr_mitm 7 days ago | parent [-] | | 1=c=G=hbar and sometimes =k is not even a joke, that's just natural units. Pi=e=1 however ... is only half a joke, because cosmologists are often only interested in orders of magnitudes, and even those are sometimes approximated. |
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