You have one-way flight to somewhere unknown within the red boxed-region (drop-in via parachute at midnight).
You are given with $2,000 dollars in cash or precious metal equivalent, an uncharged phone, 3 days worth of food, 2 changes of clothes, and an Israeli passport you are not allowed to get rid of.
Your mission is to get to NYC: you get 10 million dollars if you arrive within one day, 5 million if you arrive within a week, 1 million if you arrive within a month.
Which region do you choose?
You can see this in a completely elementary way, one which makes it retrospectively obvious:
For a point in the cube to be in the inscribed unit sphere, its first two coordinates must lie in a unit circle, its next two coordinates must lie in a unit circle, and so on.
@arpitrage A troubled young mathematician from South Boston solves a legendary pipe fitting problem, thrusting him into the elite world of plumbing and away from his rough and tumble math roots.
@NavSamarakoon The red curve is the max of blue curves (I've drawn 3 of them, but there's one for every point on the red curve). Look at a point on the red curve, say the purple one. The envelope theorem says the tangent line of the red and blue curves through this point are the same (green).
arxiv imposing a 1 year ban on authors who submit hallucinated references is good. Authors should be able to write with AI but need to be fully accountable for catching that level of error. Doesn't matter if humans also sometimes cite non-existent things. 1 year ban them too.
I don't think Conan is funny. He knows this. I text him that everyday at 7 am. He's very lucky, very very lucky, very lucky. He's a fraud. Am I jealous? No not at all. Of what, red hair and freckles? No. I'm tall too.
@ElliotGlazer@wtgowers I wonder whether the situation in the quoted poll is more favorable for figuring out a proof of the RH, or whether it’s easier if you have “true/false/dunno” ZFC-expressible questions for TT in this one.