all 9 comments

sorted by: hot top controversial new old
[–] 15 points 1 year ago (2 children)

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

  • source
  • hideshow 2 child comments
  • [–] 6 points 1 year ago (1 child)

    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.

  • source
  • parent
  • hideshow 1 child comment
  • [–] 14 points 1 year 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

  • source
  • parent
  • [–] 10 points 1 year ago (5 children)

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

  • source
  • hideshow 5 child comments
  • [–] 16 points 1 year 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:

  • source
  • parent
  • [–] 1 point 1 year ago (1 child)

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

  • source
  • parent
  • hideshow 1 child comment