You got a typo in the equation: you have swapped the superscript and the subscript on the left hand side: it should be : v_f^2, if my notation makes sense (I don’t know how to make them in Kinja!)

Okay, so, I get why this is a huge thing in technological/physical terms, and for it’s implications about the quantum realm and it’s practical usability.

No explanations needed if the measurements are true. We don’t have to understand how something works for it to work.

See, that’s what bothers me about apologists for the way Galileo was treated by the Church - “If he hadn’t been so stubborn, it might have happened within his lifetime”.

I get that they want to streamline, and all the stuff going down in the North is pretty complicated from this point forward, but I think this is probably the worst way they could have done it. Not just because its off books, but because it makes no sense given the characters involved and the show version of their…

They’re Jeyne Poole’ing Sansa and I’m pissed.

Yeah I don’t think anyone’s problem with the guy had anything to do with him not knowing about Jezebel or Gawker.

lol, you’re comparing a crummy Zach Snyder film to Rembrandt.

lol - We kinda went to the same place.

This is not about film vs digital. Color grading is the same task regardless of format. The “look” of the film is determined by the director.

that worked faster than I expected

I think in maths we assume a 1-dimensional string...

Unwind string, measure it along a ruler.

That is not widely accepted in the least bit.

This answer does not represent an authoritative consensus.

On a related note. I found these fucking great businesses. They’re all over the country. You can walk right in, and grab dozens of free books at a time! Those guys are suckers. I’ve got thousands of those free books all over my house now.

What a moron. How many McDonald’s trays do you own?

The restatement of Fermat's theorem that you use is somewhat incorrect — you said "to put it another way, you couldn't for instance take the sum of (a⁴ + b⁴ + c⁴) and expect it to add up tidily to d⁴ without a lot of very messy fractions getting involved." In fact, messy fractions would be completely fine, because…

Reminds me of an even less verbose presentation of a paper in 1903. (The paper may have been verbose; the presentation was not:)

Incompleteness is very important, yes, but I don't see what it has to do with this particular conjecture.