Re: temperature and games

[Martin Mueller <mueller@xxxxxxxxx>]

>From: Bruno Bouzy <Bruno.Bouzy@xxxxxxxxxxxxxxxxx>

>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 ?
>

In normal go language, this is a double sente play at low temperatures. The
difference between left stop and right stop is 2e. Temperature measures the
size of the threat rather than that difference. However, when e is zero
there is no threat at all, so t jumps to zero. You can experiment with
changing 2,-2 to higher values x. Then the temperature increases to x/2+e/2.

If you know how to draw thermographs, you can see directly what's going on.

	Martin