gunnihinn

The bravery of the people signing this anonymously is inspiring.

> Terrence Tao was a good example of what happens when an exceptionally smart person stops getting funded by an American University: not moving to another country, but got VC money and created a new company.

What company did Tao fund with VC money?

Thanks, I hate it.

Their boss does nazi salutes at political events. They’re nazis.

I think the Icelandic data is a bit skewed upwards. It’s showing senior and principal level salaries in large companies, most “normal” devs earn maybe 70% of that.

That's pretty cool. Unfortunately school holidays mean I can't take time off whenever, but I can definitely use the idea to plan time off around those.

A distribution is not a function. It is a continuous linear functional on a space of functions.

Functions define distributions, but not all distributions are defined that way, like the Dirac delta or integration over a subset.

For any smooth function (like the conjugate) it makes sense to ask whether there exist holomorphic functions that approximate it arbitrarily well.

However: Suppose that for every n > 0 there exists a holomorphic function f_n such that |f_n(z) - z| < 1/n for all z. Then |f_n(z)| <= |f_n(z) - z| + |z*| = |z| + 1/n by the triangle inequality. A consequence of Liouville's theorem is that any entire holomorphic function with polynomial growth is a polynomial; here in particular we would need to have f_n(z) = a_n z + b_n for some complex numbers a_n and b_n. For real x we would have |(a_n - 1)x + b_n| < 1/n for all x, so a_n = 1. For imaginary iy we would have |(a_n + 1)iy + b_n| < 1/n for all y, so a_n = -1, which is a contradiction.

In fact, if a sequence of holomorphic functions converges uniformely on compact sets, the limit is itself holomorphic because of Cauchy's theorem.

Good for you to stick up for the _checks notes_ nazis.

I read Playboy for the stories and take Viagra for the memories.

> I may be biased as I am a trained Mathematician, but I always feel when someone says "Math is Hard", that is because they had bad teachers.

I dunno, man. I have a PhD in complex differential geometry and think math is pretty hard.

Thank RÚV, the Icelandic national broadcaster, which setup cameras weeks ago and has been live streaming the area since then for capturing the eruption.

> they are objects (I call them oracles) that answer Yes or No when asked if the number ought to be between two given rational numbers.

So a real number is a function from pairs of rationals to a two-element set (plus some sanity conditions)? Why is that better than the other constructions?

This notation maybe makes some things in trigonometry or Fourier analysis easier to do. Then a wild polynomial appears and all of the sudden we have to write

(d bar) x = 1 / 2 pi.