[extropy-chat] random links

[scerir]

The air we (italians) breath
http://dorigo.wordpress.com/2007/01/23/the-air-we-breathe/

The worst possible move
http://dorigo.wordpress.com/2007/01/28/the-worst-possible-move/

Morley's theorem (1899), which says that
the three points of intersection
of adjacent trisectors of the angles of any triangle
form an equilateral triangle.
http://polymathematics.typepad.com/polymath/2007/01/proof_of_morley.html

Prime numbers peep in.
"How to define the total information content
of more complex systems? In a n-dimensional Hilbert
space, one needs n^2-1 real parameters to specify
a general density matrix rho, which must be
hermitean and have Tr(rho)=1. Since measurements
within a particular basis set can yield only n-1
independent probabilities (the sum of all probabilities
for all possible outcomes in an individual experiment
is one), one needs n+1 distinct basis sets
to provide the required total number of n^2-1
independent probabilities. Ivanovic (1981) showed
that the required number n+1 of unbiased basis sets
indeed exists if n is a prime number."
http://www.arxiv.org/abs/quant-ph/0212084

Incoherent decoherence
http://mattleifer.wordpress.com/2007/01/24/what-can-decoherence-do-for-us/