132 karma · joined January 4, 2026
> However, applying to the right position, with a good resumé that highlights experience/skills/projects/open source contributions/education/etc. that are directly related to the position, also matters.
I assume that Apple is even more competitive, than my current place. But even here it is not realistic: I heard we’re getting 500+ applications/position/day and _nobody_ looks at them unless there’s a lead/recommendation.
I am not. And I am really wary of retirees giving advice on skipping the grind, enjoy life and choose a warm feeling job. I don’t have a house and if next round of layoffs hits, it is a ticking clock for my family. I’ll take extra bucks please.
It was really fun
- <Adj> function extension is an extension that keeps (or gives) Adj property
- extended function is usually treated as originals if extension is good enough. Real analysis starts with defining real numbers and extending familiar functions onto them
- in this particular case we do not need C - even continuous extension on R works and agrees with x/x = 1 at 0
- holomorphic (analytic) extension makes function infinitely differentiable at every point of C
- because of the nature of discontinuity you can’t extend the simple arccosh in any reasonable way on C without introducing multivalued or path-dependent functions
- this continuity makes x/x=1 a reasonable simplification for CAS imo but not for complex functions as in the OP
- many things with point singularities in R have more structure in C, but x/x is not one of them. Even 1/x is of a different nature.
“You do not divide by zero” that forces you to carry x != 0 is more of a high-school construct than a real thing. Physicists ignore even more important stuff, and in the end their formulas work “just fine”.
I’m algebraist at heart and training, but I remember beautiful many-layered surfaces of ordinary complex functions in books and on blackboards.
This is completely different from the phenomenon described in the article: arccosh discontinuity can’t be dealt the same way. In fact complex analysis prefers to deal with it my making functions path-dependent (multi-valued).
I hope you’ll find a different way to support your kids if they ever get in a dark and lonely place.
OP complains about dreadful 60 hours and not about being too busy. I can relate.
- bouldering gyms - circus - bodybuilding gyms - dancing studio - aikido/wrestling - boxing
If your idea of gym is 24Fitness, then yeah, it is very boring.
Mostly weather. There are very few locations where “bike every day” is a reasonable statement. Consistency is key.
Now I’ll focus on practical advise:
- gym every day. No excuses. If you don’t know what to do or lack motivation- get a personal trainer.
- besides gym pick an active “hobby”. Cycling, rollerblading, running, skiing, surfing etc. You need self-supporting way to spend time outdoors. Again: do seek instruction.
- learn to play music. It is very healing and rewarding. Also frustrating and hard. Guess what? Take classes. Joining (community) school is great. Getting into local band is amazing. Most importantly here: you do not need to talk to these people. Same goes for drawing studio.
- professional education. Maybe you always wanted to be CPA?
- deep and challenging activities: sailing, diving, flying, mountaineering etc
- checklist reading, movie watching
- study textbooks
- systematic traveling
- volunteer
- build things with your hands and give them away
- learn to recognize your emotional state and how it changes.
My “qualifications”: I was single for ~10+10 years.