temperature and games

[Bruno Bouzy <Bruno.Bouzy@xxxxxxxxxxxxxxxxxxxxxxxx>]

Hi,

Let G(e) = { {2|e} | {-e|-2} } with 0<e<2
temperature of G(e) is T(G(e)) = 1+e/2
when e -> 0, T(G(e)) -> 1
but G(0) = 0 and T(G(0)) = 0
I feel this discontinuity just curious. 
Any comments ?

Bruno

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	Bruno Bouzy
	C.R.I.P.5 - UFR de mathematiques et d'informatique
	Universite Rene Descartes (Paris V) 
	45, rue des Saints-Peres 75270 Paris Cedex 06 FRANCE
	tel: (33) (0)1 44 55 35 58 fax: (33) (0)1 44 55 35 35
	e-mail: bouzy@xxxxxxxxxxxxxxxxx 
	http://www.math-info.univ-paris5.fr/~bouzy/
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