Recent content by jayzhao
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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.- jayzhao
- Post #3
- Forum: Advanced Physics Homework Help
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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...- jayzhao
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- Geodesics Variational principle
- Replies: 3
- Forum: Advanced Physics Homework Help
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What is the Purpose of the PF Community?
glad to be here :)- jayzhao
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- Forum: New Member Introductions