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I’m a performer, not composer, but what OP describes is very similar to the routines performers do: technical exercises, rhythm section chores, improv, current pieces, etc. Reps are the only key.

Please share “better father” books.

I was hoping to get some sort of a more direct contact from GP since he advertised the position. Not sure why would you mention it on HN otherwise.

> 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.

How do I apply? Historically jobs.apple.com is a black hole unless you know people.

> I'm retired.

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.

- function extension is defining a function where it is not defined

- <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”.

This is what differentiates (pun intended) between Complex Algebra and Complex Analysis: complex functions in analysis are multivalued (or path dependent in some schools). Even a simple concept of value of F at complex point x becomes a topic of several lectures.

I’m algebraist at heart and training, but I remember beautiful many-layered surfaces of ordinary complex functions in books and on blackboards.

I believe this is correct: x/x = 1 everywhere except 0, where it has a removable singularity. So you can extend x/x holomorphically to full C.

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).

You’re not wrong. But the “advice” to find someone or “get out of relationship” is never helpful. It is “find a job” kinda one if you don’t understand why.

I hope you’ll find a different way to support your kids if they ever get in a dark and lonely place.

I agree I am not a good role model for marital advice. That is why I am not giving any. All my advice is about self-care when your only company on vacation is, for whatever reason, a cat and PlayStation controller.

It really surprises me how entrenched the idea of “gym” is in everyone’s mind. For me Pilates studio is a gym too. Maybe this is a “transcontinental” thing?

Yes. Lonely people have a lot of time. It is rarely an issue. Motivation is.

OP complains about dreadful 60 hours and not about being too busy. I can relate.

Visit every EU capital. Or every national park. Or every bookstore in 100km radius. Just some arbitrary traveling goal that will get you out of the house every month or two.

There are many kinds of gyms and I’m sure you’d like some. But since we’re talking loneliness here I’d particularly recommend to check out (and hang for a while):

- bouldering gyms - circus - bodybuilding gyms - dancing studio - aikido/wrestling - boxing

If your idea of gym is 24Fitness, then yeah, it is very boring.