Recent content by NatanijelVasic

Yes, I think you are right. It's most likely a migraine effect. It really is similar to the castle walls in the picture, just hexagonal. Interesting that you saw the hexagon too.

Many years ago I went to the cinema to watch Avatar in 3D, and was provided with polarising 3D glasses at the venue. I can't remember if it was my first 3D film that involved polarising projection technology, but it was certainly one of my first. In any case, the 3D effect worked and I got...

Yes, this is certainly the case. However, the limiting behaviour takes care of this; as n gets large, the resulting Gaussian approximation gets "squashed" towards to centre, and so the first zero crossing actually occurs at some extreme standard deviation, where the exact Gaussian is almost 0...

Perhaps I didn't state my hypothesis as well as I should have. It's the Fourier transform of zero-mean pdf, raised to large n, that will approximate a Gaussian. That is: ## \lim_{n \rightarrow \infty}\left( \mathscr{F}\left[f(x)\right]\right)^{n} \approx c_{0}e^{-c_{1}\omega^{2}}## We are...

@tnich Thanks for the reply! :) I have thought about these two point, but I would still say that my conclusion is surprising. Let me address your points: Yes, this would be the case with a non-zero mean Gaussian, or any function that is shifted (as this corresponds to a phase shift term in...

Hi all :oldbiggrin: Yesterday I was thinking about the central limit theorem, and in doing so, I reached a conclusion that I found surprising. It could just be that my arguments are wrong, but this was my process: 1. First, define a continuous probability distribution X. 2. Define a new...

Yeah, they all dip to 1 but i guess they shouldn't. Thanks so much for clearing up my understanding :)

So it would look something like this?

Thanks so much for the explanation! I'm going to have a long think about this now !

Thank you for the reply! So if I was to draw an entire set of curves, each one with gradually increasing upstream velocity, what would happen at M=1? I would be surprised if there is some sort of discontinuity in the profile shape as you vary v. Nat :)

Hi everyone! For the past week I have spend a lot of time thinking about how de Laval nozzles work. But before I convince myself that I have understood it, I want to make sure that the (simpler) scenarios I describe below are correct. Setup: We have a long pipe with constant radius r = 1...

I think this is the solution I was looking for :) Thanks so much! I haven't heard of Noether's Theorem before, but now I wish I came across it earlier. Nat :D

I don't think that the symmetry of cause and effect SOULD match up in space/time, and I can vaguely understand why by looking at the maths, but I just wanted to understand this observation at some other level, which may not even exist. For the projectile example in a uniform field, there is...

Hmm yes, I guess whatever example I do give, it won't really be that valid because as you say I could just change the point of view. But my thought process went something like this: since many systems in nature are non-linear, a symmetric input will usually result in a non-symmetric, or less...

Thanks for the response! :) I do agree with what you have said. So my issue with the elliptic orbit is this: From the point of view of the centre of the sun, the gravitational field has a lot of symmetry (infinity degrees of symmetry), and results in a plnetary orbit with only one degree of...