Recent content by Labyrinth

The Monster group is the symmetry group of a 196,883 dimensional object. The value 196,884 appears as a coefficient in the Fourier expansion of the J-invariant. These numbers are quite close to the kissing number in 24 dimensions: 196,560. I've heard that there is a connection but I can't...

I've heard that there is some link between these two values (they're so close!) but I can't seem to find it anywhere. Can someone point me in the right direction? (there's also the J-invariant 196884, well you get the idea)

You are correct. I got the number wrong for 6 dots too, sigh. I believe it is 15. So to make a chart: dots max lines configurations (assuming 2^(maxlines)) 0 undefined 0 1 0 1 2 1 2 3 3 8 4 6 64 5 10...

I'll just use zero for 0 dots. 0,1,2,8,64.. 0,20,21, 23, 26.. I suppose 5 dots would have 8 lines to connect them all, so I should expect 2^8 configurations, if the function is 2^n where n is number of lines to connect all the dots. Now I need a function that gets n from a number of dots...

If I have n dots, how many configurations exist for lines that connect them, including no connections? For example, if I have 0, or 1 dots I believe this should be 0 since no connections are possible (or perhaps I should consider the single dot as having a single connection to itself?) If I...

Say the universe was 1 dimensional, with a seemingly endless number of objects each perfectly separated by 1 unit of distance strung along the 'line'. If each object moves away from the other, without getting closer to any other, does that not imply that the 1 dimensional line is expanding...

Dang, so there is no asymmetry here with the velocity in the way that I was thinking, and we can't tell 'who is moving fast' and 'who is moving slow' since there is no absolute rest frame. We could via dilation/contraction be able to tell who is in a substantial gravity well, but that's not...

I looked through this thread here regarding how fast we're moving relative to the CMBR, but I wonder if it would be hypothetically possible to get an even better measurement while also looking for a decent value for 'absolute still' using the apparent asymmetry of time dilation/constriction. A...

Awesome, thanks!

Nah, he says that all the time, and there's definitely no 'you' sound at the end. It's like "vaul" or "vaula".

Thanks for the quick reply. Will check those out. He says something that sounds like "giggenval", but I cannot find any reference to something that sounds like that.

\frac{-\hbar}{2m} \frac {\partial^2\psi(r)} {\partial r^2} + \frac {\hbar^2l(l+1)}{2m} \frac {\psi(r)}{r^2}+v(r)\psi(r)= E \psi(r) It's seen in this part of a Susskind video lecture. He mentions some kind of polynomial or function that I don't recognize for the solutions. He says to look it up...

I'm attempting to approximate the faulty motion reporting of a mouse sensor in terms of a power curve which it doesn't really follow but is available to mimic in settings available with many interfaces that support acceleration. The data I get is a bit noisy, so I take a sample, approximate its...

Is it really that simple? I guess I had delusions of complexity. Anyways thanks for your help.

I think the mean would be ideal. I'm looking at it from a graph standpoint, where I want to find one curve that best represents them all.