Life In 19x19

I am delighted that you consider using my style!

I'm not sure I'd call that following your style, as the formalization I have in mind is also quite different to yours. However one thing is certain: if I ever write this stuff down seriously, your method of hypotheses and the result we found ...

I have some interest, but very little understanding of the terms and theory involved. Do you have a link to the paper?

Of course, here is part 1 http://webdocs.cs.ualberta.ca/~mmueller/ps/1996/tr-96-030a.pdf and part 2 http://webdocs.cs.ualberta.ca/~mmueller/ps/1996/tr-96-030b.pdf .

For the ...

Now, this definition involves a limit as d->0 of the scores (they are actually called "stops" in the CGT literature, but in go "score" feels more like the final score. So when I talk about go I prefer to use "thermograph" for what they call "scores" and "scores" for what they call "stops") of a ...

(A shrinked copy for fun :razz:)
$$B
$$ --------------
$$ | O . O . X X X |
$$ | X O O X X . . |
$$ | X . X O O O O |
$$ | X X X . O O O |
$$ ----------------
Cute board!
Thanks. This small board could actually make a nicer diagram than the current 0-sided ko placeholder on the RR page. Would ...

You appear to confuse the coupon stack that is part of the playing material in Environmental Go with the coupon stack used in that definition. Maybe I am misunderstanding you but what I read is that you described, in the OP, how the ko depends on the number of coupons and then went on to claim ...

I know little about CGT, but afaik the concept of ko is already somewhat outside of its realm (sub-boards or games not necessarily additive, with or without superko), let alone difficulties with long repetition. In real rules passes usually lift normal ko bans (superko is harder OC), otherwise you ...

I don't think the definition of temperature (in CGT) involves such coupon stacks.

I think a general definition of temperature is something like this:

Let G(t) = { G_L(t) - t | G_R(t) + t } be a cooled version of a finite game G = { G_L | G_R }.
The temperature T of G is the smallest number, T ...

I have no idea about thermography, but your nice example seems simpler and more realistic.

Thank you! It is true that perhaps it is a more illustrative example, but now I sadly realize it is exactly the same phenomenon. I will probably add it to the aforementioned SL page once the discussion here ...

Yes, indeed, I am aware of these things.

In general infinitesimals like the ones you describe are invisible in a thermograph (but they do have thermographs!) at least at positive temperature. And number or no number, any game without loops is thermographable, this is, if you play a sum of the game ...

Excellent, as expected everything is invented already! Thanks for pointing it out. I don't think our example depends on the particular superko rule, but we do assume that passing doesn't lift the ko bans. Also I was pointed out that pass fights are a thing I didn't know either.

What I wonder is if ...

My friend René_Careenium and I just thought about something I recently asked here in L19 about a hypothetical ko situation that would admit no thermographic analysis and I believe we just found it. This beast will be hopefully intersting for you. Let's see if you agree with the strange conclusions ...

Any thermography experts in the room?

Suppose the following game, where I list each state as state: ,

k1: [-9] , [9, k2]
k2: [k1] , [k3]
k3: [k2, -9] , [9]

The scores here are in the CGT sense of numbers, that is playing a move = 1 point. When both players pass and the game is in a non-terminal ...

I tried to no avail. It is easy to find a position where b is as good as a, but not strictly better. I hoped it had to use some of these cool ideas about the forcing pass lemma but I can't fit it in this board. With larger options for a and b I think it is doable.

Do you have a solution?

Thank guys! I also contacted Prof. Mueller and he pointed me to his publications page (http://webdocs.cs.ualberta.ca/~mmueller ... tions.html) which has this and some more interesting resources I wasn't aware of

Dear all,

I am currently doing some research on loopy game thermography. In particular I am reading all scientific articles I could find on the topic and skimming Bill's posts on the topic.

In particular I was reading "Generalized Thermography: Algorithms, Implementation, and Applications to Go ...