A recent riddle that I pondered about during a drive to Luxembourg last weekend was about splitting a square field into three lots of identical surface for a minimal length of separating wire… While this led me to conclude that the best solution was a T like separation, I ran a simulated annealing R code on my train trip to… 276 more words
Tags » Random Walk
The following window contains a GitHub gist that I created, which explains some Python basics and plays a little bit with a random walker. The fun thing about gists is, of course, that you can use them interactively, but unfortunately you cannot do that through WordPress (at least I don’t know how to do that, if possible). 58 more words
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“In conclusion, the Monte Carlo method of calculating radial distribution functions in a plasma is a feasible approach if significant computing time is available (…) The results indicate that at least 10000 iterations must be completed before the system can be considered near to its equilibrium state, and for a badly chosen starting configuration, the run would need to be considerably longer (…) for more conclusive results a longer run is needed so that the energy of the system can settle into an equilibrium pattern and steady-state radial distribution functions can be obtained.” A.A.
Interview with Edouard Hannezo from the University of Cambridge for the Naked Scientists. You can listen to the full interview here.
This year marks the 100th anniversary since the landmark publication On Growth and Form by D’Arcy Wentworth Thompson, which describes the mathematical patterns seen across the natural world including in shells, seeds and bees. 908 more words