> 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.
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.
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.