Chris said:

No one is solving that problem on paper.

For the 5-pack version, there are 3168 individual binary operations that must be performed perfectly. A single mistake ruins the calculation. For the 10-pack version, that number jumps to 20,328 individual binary operations, all of which must be perfect. (I'm assuming an algorithm more efficient than the one I wrote, which does over 12x as many calculations as necessary, but was faster to write.) Matrix multiplication is extremely tedious. That means when using pencil and paper, the whole process has to be repeated (at least once) to make sure the final results are identical.

When it comes to statistics, fluency in the R programming language is the equivalent of knowing how to fish. It was designed by statisticians, for statisticians working on statistics problems.

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Chopdoc said:

Adam A/H-7

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The case came is vinyl (imitation leather) and genuine leather. I have a black one imitation, very well made, the one on the right. I don't think I have ever seen a real leather one in person.

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This is the catalog, I do not know the year.

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SA96 said:

It's going to suck when Thorsten, Lukas and Tyler are in the Mosconi Cup team and Bergman is sat at home.

Matchroom messed up by giving 3 automatic places for ranking.

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nataddrho said:

OP, You probably watched Roy Pastor talking on Jeremiah Gage's "Cue the Experts". Both people are qualified instructors, and Jeremiah is also a friend of mine.

Deliberate practice burns your brain and is uncomfortable. Deliberate practice is when you pick something difficult outside of your capabilities where you fail 8/10 times, and you repeat the same exercise. Don't do this for more than 30-45 minutes at a time because you are using way more mental energy than normal, and you can over-train yourself in to non-retention. However - after that you can "relax" and just go back to meditative play for hours to release stress.

Mentally it is like performing deadlifts and squats, and then walking a few miles to enjoy the weather. There is nothing wrong with doing both.

The effort you put into doing hyper-focused exercises will accumulate quickly over time.

Real life example - (carom, not pool, same idea) This year I am focusing on balkline. Only 4 months ago when I started I was terrible, and now I have much better ball control and I can start to plan runs properly. I attribute this to my schedule which only allows 30-60 minutes a day of table time. I can literally "feel" the retention happening better than when I used to go play pool once or twice a week for 3-6 hours, where I would just "walk to look at the trees".

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