# Tagged Questions

28 views

### Dhar's Burning Test - Confusion about Abelian Sandpile Model

Dhar's Burning test is a bijection between the spanning trees of a certain graph and the recurrent states Abelian sandpile model. I would like some help working out this bijection in different cases: ...
58 views

### Derivative of student's t with respect to degree of freedom.

I would like to show that $\Big(1+\frac{\Psi_\delta^{-1}(\rho)^2}{\delta}\Big)^{-\frac{\delta}{2}+\frac{1}{2}}$ decreases in $\delta$, where $\Psi^{-1}_\delta(\cdot)$ is the inverse CDF of a student's ...
51 views

### The Average Speed of an object

I'm pretty sure this has more to do with fundamental Math than Physics and that is why I'm asking this here rather than Physics.SE Imagine some object travelling along a straight path from point $A$ ...
45 views

### Deconvolution of distribution of diffraction reflexes

I'm a chemist stuck in a mathematical problem. Please bear with me as I'm trying to express myself in Math language. Let me explain in short terms the experimental method I'm using: X-ray ...
37 views

### distribution of the product of a poisson and a bolzmann

What is the distribution of the product of two variables for which each of them has its own distribution(specifically one poisson and one bolzmann)? I found on wikipedia that for the sum of the two ...
378 views

### Describe a sine wave of known frequency with only two points

This is my first post on math.stackexchange (sorry if meta people remove the Hello (sometimes we do that over on stackoverflow ;P)! I have a system wherein I know that the output is a sine wave, with ...
85 views

### Who established the word “ Degree of freedom ” in statistics?

I wonder who is the first one that established and applied the word : "degree of freedom" in statistics? Why he/she need degree of freedom in the calculation of many statistical values?
27 views

### Basic expression mangling question

I am looking at the solution of a physics/statistics hybrid exercise, and I can't figure out how one expression step took place. I have that $${dx \over dt} = gt$$ $$T = \sqrt{2h \over g}$$ where ...
64 views

### Stochasticity of Fermi problems

The great physicist Enrico Fermi was known for his ability to make good guesses with little or bad data by multiplying series of estimates. 1 I've seen this described as corresponding to a stochastic ...
228 views

### dynamic mean: measurement of randomly distributed events

Aim is to estimate an error on a stochastic event rate. I read out the event counter second-wise, every black $1$ is a counted event (new events over time, see the plot below). During the measurement ...
276 views

### Fourier (Hankel?) transform of a discrete set of radial points (question from a chemist!)

I'm sorry because I'm not a mathematician so that my question may look a little bit messy. I have tabulated values [1] of a 3 dimensional radial function $f(r)$: ...
627 views

### What is the relationship between the Boltzmann distribution and information theory?

I'm reading a paper on Boltzmann machines (a type of neural network in Machine Learning), and it mentions that "The Boltzmann distribution has some beautiful mathematical properties and it is ...
I'm looking at a specific derivation on wikipedia relevant to statistical mechanics and I don't understand a step. $$Z = \sum_s{e^{-\beta E_s}}$$ $Z$ (the partition function) encodes information ...