Recent content by renormalize

Good catch. To eliminate solution triples that are integer multiples of other triples I must verify that either ##b## or ##x## (or both) are prime. (My code in post #32 only tested for ##x## being prime.) Here is the corrected table of solutions: The table now includes the previously missed...

@Charles Link, given that ##a\geq1,b\geq1##, you can solve your formula ##(a+2b)^2=3(4x^2-a^2)## to get ##x=\sqrt{a^{2}+ab+b^{2}}/\sqrt{3}\,##. I thought it might be fun to write a couple of lines of Mathematica code to step through the integers ##1\leq a\leq100,a\leq b\leq100## and list all...

The poster says they want software to do "numerical relativity, inspirals &ct".

Agreed, one could modify a standard two-terminal light socket to accommodate a ground terminal and make an adapter that would then provide a ground to a 3-prong/polarized outlet. But the intent of my post #15 was simply to point out that it's quite unlikely that the commercial adapters shown in...

OK, that's a fair observation. But for those sockets, to which terminal would it be proper to connect a green (in the US) ground wire? And since the adapters shown in post #14 only appear to have two contacts (an outer threaded one and a centered smooth one) how can that ground be passed through...

I don't think those modern adapters have a ground wire either. I've never seen a light socket that could accommodate any additional wire connections beyond hot and neutral. After all, light sockets are intended for standard E26 light bulbs, none of which have a ground connection.

Or perhaps curtain folds?

No, what you actually said was: (Emphasis added.) So please clarify: how big must must a parabolic dish be to receive astronomical 21cm signals?

Welcome to Physics Forums, but please note that requesting such a discussion violates the rules you agreed to follow when you joined our forum, specifically: Speculative or Personal Theories: Physics Forums is not intended as an alternative to the usual professional venues for discussion and...

Alas, I missed it due to a scheduling conflict. Did anyone else hop on the Zoom meeting?

How about integrating Faraday's law ##\nabla\times\vec{E}=-\frac{\partial\vec{B}}{\partial t}## w.r.t. time ##t## to get ##\vec{B}=-\int\nabla\times\vec{E}\,dt\,##?

So do you agree that the authors meant to write ##\nabla## and that their eq.(2) is therefore not nonsense?

I think that ##\nabla^2## is just a typo; it should instead be the vector-operator ##\nabla## according to Fick's laws of diffusion. The Fick diffusion electric current is distinct from the ohmic drift electric current. See: https://en.wikipedia.org/wiki/Diffusion_current.

OK, I can see from your attached paper that you are quite knowledgeable regarding EHD, so providing a detailed answer to your question is clearly above my pay grade! I will only comment that, just as the shape and evolution of a free surface must be computed from the fluid dynamics, I would...

Here's an upcoming presentation from the grad school I attended about applying AI to fundamental physics, namely, analyzing high-energy scattering data: (https://universitydevelopment.cmail20.com/t/d-e-gamhk-hliyjihltk-u/)