Recent content by jayzhao

  1. jayzhao

    What is the function to extremise for finding geodesics on a Helicoid?

    Thank you! I think you're right that's what they wanted. I was getting confused because I thought the first integral equation was a "special case" of the Euler equation but it turns out they're two different things.
  2. jayzhao

    What is the function to extremise for finding geodesics on a Helicoid?

    I've got that length of a curve on the surface is: $$L=\int_{-\infty}^{\infty}\sqrt{1+\frac{4\pi^{2}}{h^{2}}\rho^{2}+\left(\frac{d\rho}{dz}\right)^{2}}dx$$ So the function to extremise is: $$f(\rho,\rho')=\sqrt{1+\frac{4\pi^{2}}{h^{2}}\rho^{2}+\left(\frac{d\rho}{dz}\right)^{2}}$$ Where...
  3. jayzhao

    What is the Purpose of the PF Community?

    glad to be here :)
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