Archive for September, 2006

Hypercubes and Hamilton Circuits

Sunday, September 24th, 2006

The Ising model is a simple model used to describe a magnet: It consists of a grid of spins. Each spin can be thought of as a tiny magnet, and can have the value +1 or -1 (called 'up' and 'down'). Two neighboring spins interact, having positive energy if they ...

Benford’s Law

Thursday, September 14th, 2006

Benford discovered that in many sets of data, the leading digit is much more likely to be '1' than any other digit. Take, for example, the population counts of nations. The most significat digit probabilities there are as follows: MSDProbability 10.26 20.20 30.10 40.13 50.07 60.08 70.07 80.05 90.04 The MathWorld article offers an explanation in terms of distributions that are ...

Polarizing Sunglasses

Monday, September 4th, 2006

How much light to polarizing sunglasses block? To answer this, a couple of things need to be clarified. First, what is meant by 'how much light', and second, how polarization works. To answer the first question, it seems best to measure the power that the sunglasses absorb, i.e. the energy-per-time. Light ...