Ciro Santilli @cirosantilli 35

The dominating model of a computer.

The model is extremely simple, but has been proven to be able to solve all the problems that any reasonable computer model can solve, thus its adoption as the "default model".

The smallest known Turing machine that cannot be proven to halt or not as of 2019 is 7,918-states: www.scottaaronson.com/blog/?p=2725. Shtetl-Optimized by Scott Aaronson is just the best website.

A bunch of non-reasonable-looking computers have also been proven to be Turing complete for fun, e.g. Magic: The Gathering.

This is the lowest level of abstraction computer, at which the basic gates and power are described.

At this level, you are basically thinking about the 3D layered structure of a chip, and how to make machines that will allow you to create better, usually smaller, gates.

As of the 2020's, a slumbering giant.

But the pre-Internet impact of IBM was insane! Including notably:

All companies with investors are evil, make no mistake.

They may have nice looking save the world charity campaigns, but once you get even close to affecting their revenue stream, the axe falls. The charity is only a publicity stunt to reduce wages.

Some level of government intervention is needed to control investor's greed.

It is just a question of business model: some business models are eviler than others. Making people pay for operating systems being possible the most evil of all.

One thing must be said however. You can learn a lot by working in a good company, because it ends up putting you in contact with practical real problems that you wouldn't otherwise see by just doing your own random low-tech startup. This is especially valuable if said company is also enlightened enough to use and contribute back to open source software, thus improving the world and paying back the moral debt of using other people's work for free.

Another important point to consider is who in the company is evil. In a sane tech company, the lowly engineers are going to be non-evil. And then the more you go up the management chain, the more aligned you have to be with investors, and thus the more and more evil you get. HR is just evil from the bottom though, it's just the nature of their job.

A function where the domain is the same as the codomain.

www.cns.gatech.edu/~predrag/courses/PHYS-6124-12/StGoChap6.pdf 6.1 "Classification of PDE's" clarifies which boundary conditions are needed for existence and uniqueness of each type of second order of PDE:

Ciro Santilli is very fond of this result: the beauty of mathematics.

How can so much complexity come out from so few rules?

How can the proof be so long (thousands of papers)?? Surprise!!

And to top if all off, the awesomely named monster group could have a relationship with string theory via the monstrous moonshine?

all science is either physics or stamp collecting comes to mind.

The classification contains:

Skullcandy earphones, first one circa. 2016 most likely. Used them a lot, these are good.

2023-07: one of the sides broke near center, rebuying.

2021-07: wire half broke near connector, only works in some positions. The funny thing is: only voices seem to be blocked out! Rebuying.

2021-06: a small bottom piece of the left earpiece broke. Wire seems find, that is like a little extension to protect wire. Let's see for how long.

2020-20: wires at one of ears broke, not sure how.

Look they looked exactly like: "Skullcandy Smokin' Buds 2 In-Ear Audio Earbud Headphones with In-Line Microphone - Black".

Re-buying that one 10 pounds:

Tech specs:

In degrees Celsius:

Many bad films have good aspects. They just didn't cross the elusive threshold of a good film.

This is how electronic circuits are normally prototyped!

Once you validate them like this, the next step is usually to move on to printed circuit boards for more reliable production setups.

Breadboards are a thing of beauty and wonder.