• Gustephan@lemmy.world
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    8 hours ago

    Shout out to the euler relationship for allowing me to forget every single trig identity I ever learned

    • Trashbones@lemmy.sdf.org
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      8 hours ago

      I’d be curious how that works? I always hated memorizing those things, and I’d love it if there was some way to easily derive those from a single relationship.

      • Gustephan@lemmy.world
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        8 hours ago

        e^(ix) = cos(x) + i sin(x)

        That is the euler relationship. You can use that relationship to convert any expression with a trig function into an expression of exponentials and imaginary numbers. “Euler’s formula” is a good search term if you want to learn more

  • DevCuber@sh.itjust.works
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    12 hours ago

    I don’t know what any of those are, but surely lagrangian mechanics was invented by Lagrange, right

    • RunawayFixer@lemmy.world
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      2 hours ago

      Euler thought up or improved way too many things for them all to be named after him, it would get too confusing.

      From his wiki: “Euler’s work averages 800 pages a year from 1725 to 1783. He also wrote over 4500 letters and hundreds of manuscripts. It has been estimated that Leonhard Euler was the author of a quarter of the combined output in mathematics, physics, mechanics, astronomy, and navigation in the 18th century.” https://en.m.wikipedia.org/wiki/Leonhard_Euler

      And a relevant xkcd:

    • Rose@slrpnk.net
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      2 hours ago

      An old bit of wisdom: “Most scientific concepts are named after the second person to discover them”

    • humanspiral@lemmy.ca
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      12 hours ago

      hmmm… I was going to go with continuum mechanics as that seems made up. Maybe Euler contributed something to Lagrange.