Recent content by xanadu

In Marion & Thorton problem 1.29 asks to find the angle between two surfaces (x^2 +y^2 + z^2)^2 = 9 and x + y + z^2 = 1 at a point. The solution takes the gradient of (x^2 +y^2 + z^2)^2 - 9 and x + y + z^2 - 1, and using the dot product between the two vectors at that point gets the angle...

If rho is Q/2a then this means the charge density is constant. You need to integrate dq/r where r is the distance from x to the infinitesimal charge dq. dq = (Q/2a)dx' and r = x-x' so your variable of integration is x' not x.

I've been reading Shilov's book and the definition of a limit point is as follows: x is a limit point of A if every neighborhood of x (any open ball centered at x with arbitrary radius r) contains at least one point y distinct from x which belongs to A. I feel that from this definition a...