Recent content by woodssnoop

The photo below is a picture of a problem in my complex analysis textbook but a topology question occurred while I was reading it. (Just to avoid any confusion, I have not taken a topology class yet.) The problem is asking to compute the integral (at the top of the picture) around the closed...

Hello: I have been trying to find some information on choosing the width of a running average over a time dependent data set. Here is an example of what I am dealing with: The oscillations should be around the line y=15.6385 and I am wondering if there is a way to quantitatively detect...

My PI was able to find a reference for the 2nd order convergence, since the verlet algorithm can also be thought of as a version of the midpoint formula. The reference is from "An Introduction to Numerical Analysis, Second Edition" by Kendall E. Atkinson. Thanks for your help.

Hello: I am trying to determine the global error for the verlet integration algorithm: r_{i+1}=2r_{i}-r_{i-1}+\ddot{r}_{i}h^{2} It is easy to show that this approximation is locally 4th order, by way of a Talyor expansion. I have look around extensively for a proof of the global error but...

Alright, thanks for the help. I think I got it.

Also, the quote above should be: L(q,\dot{q},t) = T - V

Thank you for replying. I made a mistake in my first question and I should probably rephrase as well. I meant to ask, can m \dot{q} be replaced by p ? I understand that if the mass was not constant then this would not be possible, but in a non-relativistic calculation, such as this harmonic...

Hello: I am trying to understand how to build a hamiltonian for a general system and figure it is best to start with a simple system (e.g. a harmonic oscillator) first before moving on to a more abstract understanding. My end goal is to understand them enough so that I can move to symplectic...

I know I should be able to do a least-squares regression on my data to smooth it out once I get it plotted, but I feel like I my logic for plotting the CDF and finding the analytical CDF is flawed. Right now I am plotting P(x\leqa) = CDF = (number of data points with the value of "a" or...

I am trying to reproduce the results of a colleague and I am having difficulty understanding how to find a PDF of a data set. The calculations were preformed on a chemical system and the energy for a 1000 random orientation of the molecule was calculated. Am I right in thinking that if I plot...