Recent content by coolnessitself

I'm looking to create a fluidization bed like in this video by putting an air blower under a cylinder of beads. For a given cylinder and particle type, I was looking into the flow velocity needed to make this happen. I came across this (see the first section) which gives a numerical result for...

Thanks for the quick response! So once I have an expansion in terms of a Fourier series or orthogonal polynomials over the disk, how do I then "take into account" the holes? Or is this not what you mean? Since I'm not familiar, do you know a name for these?

Hi all, I have a smooth f(x,y) in some region of ℝ2 that I know to be 0\le f(x,y)\le 1. The region has holes. I also know that inside the holes, f(x,y)=0, and outside of the region, f(x,y)=0. I'm looking for a good choice of polynomials or other functions I can expand f on in order to fit my...

Hi all, I feel like there's a missing link in my understanding of brownian motion. I'm comfortable with the "method of http://fraden.brandeis.edu/courses/phys39/simulations/Uhlenbeck%20Brownian%20Motion%20Rev%20Mod%20Phys%201945.pdf" where the signal is written as a Fourier series, and with...

Hi, thanks for the link. So the bessel function simply appears in a bivariate laplace distribution, which I'm dealing with. I guess from an intuitive standpoint, I'm confused about its pdf. If the pdf becomes infinite at some point, how does that relate to probability? If the pdf maps R to some...

Hi Stephen, Essentially I guess it's #1. I have a jump diffusion process x(t) - x(0) = \int\limits_0^t f(x(s))ds + \int\limits_0^t g(x(s))dw(s) + J(t) where J(t) specifies both the Pr(jump in [t,t+Delta]) as well as a distribution of the resulting jumps. That latter distribution is my...

Hi all, I have a question about the actual value associated with the probability p(r) where p(r) is infinite for r=0. I realize that this p(r) can only be a distribution and only exist under an integral, and can't represent a pdf. My p(r) is a radially symmetric laplace distribution in 2d...

Hi all, Homework Statement Not actually homework, but hopefully it fits well in this forum. I have two particles that can only move in the direction of their respective heading angles. I'm trying to relate a radially-symmetric mutual potential between the particles to the acceleration of this...

I'm trying to write a fokker Planck equation for a particular SDE, but I'm caught up on an aside by the author I'm following. He has a SDE with drift b \in \mathbb{R}^n, a dispersion matrix \sigma \in \mathbb{R}^{n\times k}, and k-dimensional brownian motion W_t, resulting in something like this...

ps. two profs that came to mind with interesting work: Todorov: computations the brain must perform for limb movement and sensory information processing http://www.cs.washington.edu/homes/todorov/ Krumhansl: cognitive processes in music perception and memory...

Well I'm not saying that studying Fourier series makes you better at violin, and I'm not talking about the change in IQ or some other ability that is affected by listening to Mozart prenatal or otherwise, but instead, maybe there's some link (possibly related to spatial abilities? just a guess)...

There is a great depth to the mathematics associated with music in terms of chord structure and progression, but clearly the brain does not primarily compute frequencies, ratios and sequences when improvising. However, there is clearly a correlation between mathematical abilities and musical...

I'm working with a cartestian system that has certain periodic properties I'd like to exploit with a new coordinate system, but I don't know one that would work. The trajectory of the state of the system is symmetric across non-adjacent squares (ie a checkerboard of sorts), so that (x,y) can...

Aside from what the name of those iterative distributions might be, here's another question. I'm trying to actually find the distribution of \max(c/f(x)) so I can fit it, where f(x) is a N(\mu,\sigma^2). If I have more peaks I can just sum up my mus and sigmas, so this seems general enough. So...

I think I would need something like cellfun, but my version of MATLAB doesn't allow anonymous functions in cellfun, just built-in functions, so that won't work. But anyways, that's all fine and good. Followup question: Is there a term or subject or something I can look into to describe the...