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Former chess Böhm has a striking explanation for the low-key game by Carlsen. "He was worried that his computer was hacked by the Russians. Whether that is justified or not, I think that's why he avoids the big/main lines (not a good translation, sorry) and the big heavy openings. Instead he takes refuge in the side paths. And that will print its mark on this game. I'm afraid that's the reason. "
Is this analysis directed towards the 12th game only, or the entire match?

My take on it is that even without any fear of hacking, Carlsen would have good reason to respect the massive apparatus of experts who would help Karjakin prepare for the match. Especially their capacity to analyze his own former games, and other games following the lines Carlsen plays most often. That's a good reason to steer away from the main lines. And if we look at how the 12 games have played out, Carlsen has had decent success with this strategy: He has not really been caught by Karjakin's preparations a single time. He has come out of most openings with the better position and with less time spent. It seems to be Karjakin's ability to find good defensive lines over the board that has saved him, not preparation.

That being said, I can see that such a fear as you describe could cause an extra cautious approach to the 12th and final game. Personally, I'm more inclined to think it was due to a tactical move: Use Sunday and Monday to prepare for rapid chess, while Karjakin would spend his time preparing his defense for Monday. Then play for a win only if Karjakin made a mistake early in game 12, otherwise play it safe and take the draw.

I agree with Wingman here, a tactical draw is the most likely explanation for last night's anti-climax. It can be added that Carlsen is not known for extensive opening preparation. He just seeks a playable middlegame where he can accumulate positional advantages. He has actually had decent success with this, but Karjakin has defended tremendously well and Carlsen has perhaps not made the most of some positions.
 
Is this analysis directed towards the 12th game only, or the entire match?

My take on it is that even without any fear of hacking, Carlsen would have good reason to respect the massive apparatus of experts who would help Karjakin prepare for the match. Especially their capacity to analyze his own former games, and other games following the lines Carlsen plays most often. That's a good reason to steer away from the main lines. And if we look at how the 12 games have played out, Carlsen has had decent success with this strategy: He has not really been caught by Karjakin's preparations a single time. He has come out of most openings with the better position and with less time spent. It seems to be Karjakin's ability to find good defensive lines over the board that has saved him, not preparation.

That being said, I can see that such a fear as you describe could cause an extra cautious approach to the 12th and final game. Personally, I'm more inclined to think it was due to a tactical move: Use Sunday and Monday to prepare for rapid chess, while Karjakin would spend his time preparing his defense for Monday. Then play for a win only if Karjakin made a mistake early in game 12, otherwise play it safe and take the draw.
Not hundred percent sure, but I think the analysis was for the entire match Wingman.
 
I've just had a book delivered by courier and they'd managed to bend it in half, breaking the spine. How do you even do that without making special effort?
 
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Yesterday's dinner was delicious. Starter: A pancake with blueberry jam. Main dish: Pancakes with bacon and mushroom. Dessert: Pancake with blueberry jam.
 
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It's no secret that I absolutely and hopelessly suck at maths. But it's driving me crazy that I can't solve a problem which allegedly is designed for fifth graders:

3x+7y=36

Can somebody explain to me in pre-school terms how to solve this?
 
It's no secret that I absolutely and hopelessly suck at maths. But it's driving me crazy that I can't solve a problem which allegedly is designed for fifth graders:
more
3x+7y=36

Can somebody explain to me in pre-school terms how to solve this?

In pre-school terms: You cannot, because.

In grown-up terms: I assume that by "solve" it is meant that you should find x and y. But this is one equation with two unknowns, and that is a very simple example of a non-determined system.

For every value of x, there is a value of y, and this means there is an infinite number of solutions.
 
Okay, I made an error in presenting the problem. The actual problem was:

x+3y=14
2x+4y=22

After getting my logic right, I concluded x=5 and y=3. That should be correct, right?
 
Thanks.

If you guys ever need to have the historical significance of a voiced dental fricative being reflected by an alveolar in a neighbouring language, don't hesitate to ask...
 
If you guys ever need to have the historical significance of a voiced dental fricative being reflected by an alveolar in a neighbouring language, don't hesitate to ask...

Go ahead. Why does ð get replaced in German with th-stopping?
 
Okay, I ask. I don't know what two languages you are talking about.

Sogdian and Bactrian.

Go ahead. Why does ð get replaced in German with th-stopping?

The "why" isn't the problem. Sound changes happen all the time, and they're based on increasing dominance of dialects due to a number of possible historical factors. The loss of dental fricatives in German (except for voiceless s, obviously) occurred somewhere between the 6th and 8th centuries in what we can observe as the written Old High German language. This was the time of Frankish and Catholic dominance, and the increasing impact of Latin in Germanic territories. Since Latin does not have these dental fricatives, this got lost in the occurring sound change. Thus, the th-stopping occurs in German, Dutch and Friesian today. If you look at the Germanic languages that retained the dental fricatives in question, you can see that it's the Scandinavian languages and English - both outside of the Frankish sphere and thus isolated from the Latin impact in the time of the sound change. By the time Catholicism did arise there and Latin entered every-day life there, the English and Scandinavian languages already got so fixated that it had little impact on them. It's interesting to note however, that Swedish did lose those sounds, but honestly, I don't know when that happened.
 
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