Ciro Santilli @cirosantilli 35

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.

How to build it: math.stackexchange.com/questions/3137319/how-in-general-does-one-construct-a-cycle-graph-for-a-group/3162746#3162746 good answer with ASCII art. You basically just pick each element, and repeatedly apply it, and remove any path that has a longer version.

Immediately gives the generating set of a group by looking at elements adjacent to the origin, and more generally the order of each element.

TODO uniqueness: can two different groups have the same cycle graph? It does not seem to tell us how every element interact with every other element, only with itself. This is in contrast with the Cayley graph, which more accurately describes group structure (but does not give the order of elements as directly), so feels like it won't be unique.