Hooked
Reputation
251
Next privilege 500 Rep.
Access review queues
 Jan 20 asked Fermi estimate for ice nucleation timescale Sep 24 awarded Autobiographer Jul 2 awarded Curious Apr 8 awarded Popular Question Feb 21 accepted Objective measure of anisotropy Feb 19 comment Objective measure of anisotropy Thanks for the input. My biggest concern with using multipoles is the choice of origin - if you are comparing higher moments it seems that the choice can invalidate comparisons (not an issue with the CMB, but by its nature that problem is different). Where did you place the origin for your simulation - or did it not matter since there was a well-defined point for differing systems? Feb 18 asked Objective measure of anisotropy Jan 9 comment Geodesics in a point mass universe Thank you for the reference and the great answer. I admit I hadn't considered the fact that the masses themselves wouldn't have static positions relative to each other. Is it possible though to consider something like an instantaneous geodesic, i.e. the geodesic made by connecting the series geodesics over a small differential of space between two points? I envision something like a calculus of variations problem, the path that would connect the two points over the shortest spacetime. Jan 9 accepted Geodesics in a point mass universe Jan 8 comment Geodesics in a point mass universe Thanks @joshphysics, I figured the solution would be extremely difficult but I'm completely out of my element here. I'd be happy for a numerical solution, I think I'd learn a lot reading over the algorithm. Jan 8 awarded Yearling Jan 8 asked Geodesics in a point mass universe Jan 8 awarded Informed May 28 comment Computing a “best-fit” of discrete points from a multipole expansion, i.e. invert the multipole moments The observations are nice and indeed useful when $N=2^\ell$, but my original idea was to approximate the potential with some value of $N$ such that $N < 2^\ell$. In this case I'd like to approximate the basis vectors as "best" as possible using only a limited subset. Jan 19 accepted Computing a “best-fit” of discrete points from a multipole expansion, i.e. invert the multipole moments Dec 4 awarded Caucus Dec 4 awarded Constituent Nov 2 revised Computing a “best-fit” of discrete points from a multipole expansion, i.e. invert the multipole moments Added a new observation Nov 2 comment Computing a “best-fit” of discrete points from a multipole expansion, i.e. invert the multipole moments @LubošMotl I agree, but the problem is motivated by a practical concern, making (pseudo) accurate "toy models" of electrostatics for protein solutions. As such any thoughts on the matter, canonical or not, would suffice as solutions in this case. I would expect that the symmetry of the problem should suggest something better than brute force optimization. Nov 2 asked Computing a “best-fit” of discrete points from a multipole expansion, i.e. invert the multipole moments