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Charles Link reacted to anuttarasammyak's post in the thread Undergrad Finding the minimum distance between two curves with
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After transformation of ##X_2=3-x_2## the two partial differential equations are $$-2(4-x_1^2 -X_2^2)x_1+(x_1+X_2-3)=0$$ $$-2(4-x_1^2... -
Charles Link replied to the thread Undergrad Finding the minimum distance between two curves.@anuttarasammyak Perhaps you also noticed this already, but I find it interesting that with your exact solution, the slopes of the... -
Charles Link replied to the thread Undergrad Finding the minimum distance between two curves.@anuttarasammyak Thank you very much for your solution above. It is excellent. <3 <3 -
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I am sorry for my careless mistakes on L. I corrected #4. It seems in good accord with your result. -
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continued from #2: With the help of Wolfram I get one real solution... -
Charles Link replied to the thread Undergrad Finding the minimum distance between two curves.@anuttarasammyak We are going to need to look over your two partial derivative expressions carefully, because your solution is... -
Charles Link replied to the thread Undergrad Finding the minimum distance between two curves.@anuttarasammyak That's one part of what I did to solve it. Those two partial derivative expressions are really too clumsy to solve... -
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Square of the distance is $$L^2=(y_1-y_2)^2+(x_1-x_2)^2=(4-x_1^2-(x_2-3)^2)^2+(x_1-x_2)^2$$ The condition of minimum is $$\frac{\partial... -
Charles Link posted the thread Undergrad Finding the minimum distance between two curves in Calculus.The other day a friend of mine gave me the above problem which I found rather interesting. I was able to get a numerical solution... -
Charles Link replied to the thread Undergrad Why Does Snow Pack Better Near the Melting Point?.The above is a photo of a 3'0" snowman that I made today, Monday 3-16-26 in Chicago. It was several degrees below freezing so packing... -
Charles Link replied to the thread Undergrad Why Does Snow Pack Better Near the Melting Point?. -
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In Jomtien
