Wednesday, October 31, 2007

Permutations and Light

Ole Keller's article "Historical papers on the particle concept of light"
appeared very attractive. The history of concept of light is reviewed in a refreshing way here.
For me, it was interesting to read how the Stirling formula (on asymptotics of the factorial function) came into Planck's radiation law.

The Stirling formula gives the asymptotics for number of permutations. Permutations are ordered arrangements of elements of a discrete set. Permutations (and their asymptotics) could came to play in the theory of light only after some things related to light were assumed as discrete undividable elements or ensembles (though very large) of such elements.

Lyrics

Rainy Day Woman
Waylon Jennings

Chorus:
Oh rainy day woman
I've never seem to see you for the good times or the sunshine
You have been a friend of mine, rainy day woman

That woman of mine she ain't happy
Unless she finds something wrong and has someone to blame
If it ain't one thing it's another one on the way

I woke up this morning to the sunshine
It sure as hell looks just like rain
I know where to go on a cloudy day

Chorus(x2)

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