Gérard TAILLE wrote:
Bill Spight wrote:
G = H
says nothing about miai values, which is a go concept, not a CGT concept. Now it is true that
{2|0} + {2|0}
and
2
have the same
effective miai values associated with them. That is true for all games that are equal to 2.
:
The thermograph of a game is a graphical representation of the value of playing in it at different temperatures. The axes of the thermograph are the temperature (vertical) and the count (horizontal). At each temperature, the left wall of the thermograph shows what Left (Black) gets by playing first, and the right wall shows what Right (White) gets by playing first. At high enough temperatures the thermograph is topped by a vertical mast, which coincides with the left and right walls, and represents the count of the game. The temperature at the base of this vertical mast is the temperature of the game. In go it corresponds to miai value.Three points concerning this thermograph definition:
1) the thermograph is not colored
2) the temperature of the game is the temperature at the base of the vertical mast
3) "miai value" is not defined in thermography, it is only a notion in go world, corresponding (?) to the temperature of the game in thermography
Guilty as charged.
Color is not a defining property of thermographs, but they may be colored. I came up with that idea.
I introduced the term, miai value, to English speaking go players on rec.games.go in the 1990s, in an effort to clarify our thinking about move values. Western players had learned what is called in Japanese deiri values, but most of them assumed that they meant the same thing as miai values. My efforts almost completely failed. Instead, the new term for move values caused more confusion than it alleviated.
Too much terminology!
I don't know if I was the first to introduce the idea of temperature on rec.games.go, but I certainly used it. However, go players online adopted the term, not to refer the temperature of a position (game) but to the temperature of the whole board. Fine. Language at work.
But that means that the technical meaning of temperature in CGT is different, and using it would cause confusion. So I don't. I have enough trouble with the technical meaning of sente.
Quote:
It is what you said in your post and I agree with you.
In practice the problem is that in many articles about thermography the wording miai value is used instead of temperature of the game.
Yes, that's probably my attempt to communicate with regular go players, at least those who use the term, miai value. That is my aim on SL. As such, it is informal language. Most people who do use miai value use it to refer to both plays and positions, and to use it where in CGT we would use temperature.
Quote:
I understand you proposed also the wording
effective miai value to avoid misunderstanding. Isn'it simplier to keep the wording
temperature of the game?
By the time of that writing temperature was used differently by go players. No point in creating confusion. IMX, a surprisingly large number of people want a word to mean only one thing. Most words have multiple meanings, but ambiguity does cause misunderstanding and confusion.
Quote:
In any case what is the defintion of what you call "miai value"?
Well, as a go term, it is not exactly unambiguously defined.
It seems to me that it means how much a gote play or gote sequence as a unit gains, on average. Whether it can be used for how much the first play in a sente sequence gains is unclear. I have not seen it used for that. OC, it can be used that way, I suppose. I have had discussions about whether it can be used for mistakes. Again, I have never seen it used that way in professional writing. At one time I argued against such usage, but now I think it can be useful to do so, as long as you say the play is a mistake, or may be.
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In the game G = {2|0}+{2|0} the temperature of the game is 0 according to the defintion but you seem to claim that the "miai value" is different.
In my early studies of CGT what I read about the temperature of a game is the temperature at the base of its vertical mast. However, in discussing a miai pair like {2|0} + {2|0}, Berlekamp, who certainly knew what temperature means, said that it was ambiguous, that you could consider the temperature of the sum to be any number up to 1.
Anyway, the miai value of a play in {2|0} is 1. {2|0} is an independent game. So in the sum, {2|0} + {2|0}, which exists only in the abstract, why is it not the same? This argument also applies to temperature.
The CGT text I had read said that the temperature of a sum of games is less than or equal to the maximum temperature of each game in the sum. That does not exactly resolve the ambiguity.
Quote:
What is the defintion of miai value?
One meaning is that it is the average gain of a gote play or sequence of play, as a unit.
It probably has broader meanings, as well.
Quote:
How do you calculate it with this game G? Due to the purple color it seems we have here a tally = 0 and it seems we are facing a double sente area which does not exist does it?
AFAIK, I am the only go writer who calls this miai a double sente. Anyway, we do not talk about the miai value of a sente play sequence, except when we really mean the miai value of the corresponding reverse sente play or sequence. As I said, it's an informal term.
White makes mirror go and wins jigo. 
.
is correct. 
and 
transpose. 
is star (*). If 
is at a instead, then after 
