EuLeR iS nOT a PHySicIST

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• Gustephan@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

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

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  • Trashbones@lemmy.sdf.org ⁨5⁩ ⁨weeks⁩ 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.

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    • Gustephan@lemmy.world ⁨5⁩ ⁨weeks⁩ 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

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• DevCuber@sh.itjust.works ⁨5⁩ ⁨weeks⁩ ago

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

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  • RunawayFixer@lemmy.world ⁨5⁩ ⁨weeks⁩ 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.” en.m.wikipedia.org/wiki/Leonhard_Euler

    And a relevant xkcd: Image

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  • ChrysanthemumIndica@discuss.tchncs.de ⁨5⁩ ⁨weeks⁩ ago

    I guess Euler-Langrangian mechanics was too much of a mouthful!

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  • umbraroze@slrpnk.net ⁨5⁩ ⁨weeks⁩ ago

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

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  • humanspiral@lemmy.ca ⁨5⁩ ⁨weeks⁩ ago

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

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    • marcos@lemmy.world ⁨5⁩ ⁨weeks⁩ ago

      en.wikipedia.org/wiki/Continuum_mechanics

      Continuum mechanics deals with deformable bodies, as opposed to rigid bodies.

      I guess F = ma is pure Newton + Galileo.

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