Recent content by xentity1x

I'm trying to setup serial communication between Matlab and an Arduino. As a test I have a logical input to the Arduino (it can be either 0 or 1). I then want to pass the value of the input to Matlab and display it. Here's the Arduino code I have: void setup() { Serial.begin(9600)...

In a Markov chain, show that a state i is persistent if and only if the mean number of visits to the state i is infinite given the chain started in state i. I thought about looking at the mean recurrence time, but that's all I have so far.

Ok so I wrote down the transition matrix with s=1. \begin{bmatrix} \begin{array}{cc} 1 & 0 & ... & 0 \\ p_{21} & p_{22} & ... & p_{2N} \\ \vdots & \vdots & \ddots & \vdots \\ p_{N1} & p_{N2} & ... & p_{NN} \\ \end{array} \end{bmatrix} I then raised it to the nth power...

Let X be a Markov chain with a state s that is absorbing, i.e. pss(1) = 1. All other states communicate with s i.e. i → s for all states i ∈ S. Show that all states in S except s are transient. I understand this intuitively, but I'm not really sure how to start the proof.

If A is a cycle, and A=(1 4 5) (2 3 6). Is there a B such that BAB^-1=A^2. I found A^2=(1 5 4) (2 6 3), but I'm not really sure where to go from there.

I'm applying to grad schools this semester. I think I want to go into biophysics and do neuroscience research. Does anyone have recommendations for schools that are good in these areas?

I was thinking about stuff like this http://lphys.chem.utoronto.ca/newpage/research/coherent-control/" , where people look for coherent quantum effects in a macroscopic system.

I am going into my fourth year of studying physics and math as an undergrad. So I'm starting to think about what I want to research after I graduate. So far I'm pretty sure I want to go into biophysics. Specifically, I'm interesting in studying quantum mechanical effects in biological or organic...

I'm writing a program in matlab. I have a matrix whose entries are all ones and zeros. I want to convert each row vector of the matrix into a binary number whose digits are the entries of the vector. So for example if an arbitrary row of the matrix was [1, 0, 1, 1], I would like to convert it...