mturmon

Agree, and it has diverted the whole thread.

You may be aware that, IRL, Patrick Stewart grew up in a household with a violent father? He has spoken candidly about how that has affected his roles.

> A company, if they treat me poorly, I can take my business elsewhere.

Like Chevron, or Verizon, or Microsoft.

r/electricians is a good place to lurk to get more inside information about this trade. As you note, there are definitely sectors, like resi(dential), commercial, industrial, and they work by different rules.

The speed needed by a residential electrician is very different than the long-term outlook you hear from industrial electricians (“label that box because the next guy to service it could be you”).

Another recurring trope is the perceived hierarchy between the trades. I lose it when a plumber is described as a “turd herder.” And drywallers get no respect.

The above is a useful idiom that has a somewhat different feel than using !$, etc. Construction versus surgery.

Instead of alt-^, I set “magic-space” in `.inputrc`.

This will expand the event designator after you type space to end it. So you type “!” “$” “space” and the designated argument expands in-place.

This is mistaking two kinds of power laws.

OP is considering power laws in the frequency domain.

You are considering power laws in the heavy tail of a distribution.

Different things! But there are confounders that make discussion seem similar:

- questions about moments and convergence (OP: do we have finite energy in the Fourier domain; your comment: do the tails of the distribution fall off fast enough to have finite moments of order 1 or 2)

- questions about averaging (OP: in the time domain; your comment: as an expectation obtained by integrating a distribution, or as a closure property of the stable class of distributions)

Yes. My PhD advisor had a research interest in axiom systems for probability that are weaker than the familiar Kolmogorov axioms, which are sometimes abbreviated "CMP" for "conventional mathematical probability".

I'll try to remember the setup. The CMP axioms imply that, in a shift-invariant system X(t) (which is a different class than "stationary" -- not necessarily implying existence of second moments), if the mean of X(t) exists finite, then a long-term average of X(t) must converge.

However, you can observe time-invariant physical systems (such as a noisy resistor in a static environment) with spectra that obey the 1/f law down to very low frequencies (i.e., over very long time baselines) -- the time average does not converge. My advisor had a stack of magnetic tapes on his bookshelf with such samples.

These systems would seem to be disobeying the axioms of CMP, thereby motivating searches for alternative formulations that are more general.

Not “me,” but yes, that’s the rate quoted in the document I linked about the instrument that captured the images in OP.

The piece ends with the observation that maybe the fact that 1/f noise is its own Fourier transform is a clue.

Turns out this property is not unusual. There are many such pairs - there’s a reasonably well-known journal paper with a construction technique.

People were identifying gross features (like the convection cells in the first website I linked), and giving those features names. Like “sunspots”, “faculae”, “pores”, “granulation”, “bright points”, etc. That’s on the observational side.

I’m less informed about simulations in this era - perhaps some simplified MHD simulations had been more quantitative in linking equations of state to the emergence of these features - but I believe they were not realistic enough to provide definite constraints on the scale of the structures.

It was clear that these features had to do with energy transport and some of the mechanisms were hypothesized. But the spatial scale of the gross energy transfer in these convective cells was not known, either through simulations or observation.