While in Brazil, Ciro Santilli used to walk through the outskirts of a small favela to get to university every day, the Favela de São Remo.

See the street view for: R. Catumbi - Vila Butantã Vila Butantã, São Paulo - State of São Paulo, Brazil, e.g. with this link.

To the left, the outer walls of a large police station, with concertina wire on top and all.

To the right, dudes selling drugs on the entry of a small corridor street, presumably to which they could easily escape to in case of need.

The cops could have identified the dealers with binoculars if they actually wanted to!!!

The drug sellers did keep the peace in their business area, and Ciro never got robbed, and would come back from university parties on foot late through the favela.

But Ciro's friends did say that things got much worse after Ciro left, for example a flash kidnapping was reported in 2015.

Wikipedia says that this favela started in the 60s and 70s as settlements of the builders of the University, and that many of the people there still work for the University.

This is consistent with the terribly old buildings Ciro saw when he was at university. They even had the building skills to build their own homes.

The state just has to either legalize those people, or give them houses somewhere else nearby. A world class University is the most important thing a poor country can have, and its image cannot be jeopardized like that.

The existence of that favela, right next to one of the most important universities in Latin America, puts Brazil's surreal social inequality into perspective. Especially considering that before extremely heavy university entry quotas were added, basically all students of the university (or at least of the courses that lead to high paying jobs) had attended private schools, and therefore were not of the poorer classes (see passage about 10 out 500 passage from Section "Free gifted education").

The janitors of the apartment block Ciro lived all lived in the favela. Yes, in poor countries lives are worth nothing, and some poorer people work by watching the entrance of buildings of less poor people 24/7 to guard it from other even more desperate poor people who might want to rob the not so poor inhabitants. They also do janitor jobs like cleaning common areas in parallel.

They were incredibly nice hard-working people, and Ciro spoke often with them. If only given the opportunity, those people could be amazing engineers or scientists obviously. Ciro was also glad to be their friends, and sat down with them quite a few times for several minutes after coming back from University parties, partly because he felt bad about them having to work at that time, but also partly because he just liked them. And they were always up to date on who had come back with a girl to the apartment or not. Ciro imagines that if it had been him, it would have been a perfect bragging opportunity ;)

They had "nothing" but were still happy. This is true wisdom, and a good reminder that all our non-transhumanist technical goals are nothing.

We must destroy social inequality.

One of the most simple to state undecidable problems.

The reason that it is undecidable is that you can repeat each matrix any number of times, so there isn't a finite number of possibilities to check.

A:

There are only boring examples of taking an uncomputable language and converting it into a number?

One of the main reasons why physicists are obsessed by this topic is that position and momentum are mapped to the phase space coordinates of Hamiltonian mechanics, which appear in the matrix mechanics formulation of quantum mechanics, which offers insight into the theory, particularly when generalizing to relativistic quantum mechanics.

One way to think is: what is the definition of space space? It is a way to write the wave function ${\psi }_x(x)$ such that:And then, what is the definition of momentum space? It is of course a way to write the wave function ${\psi }_p(p)$ such that:

physics.stackexchange.com/questions/39442/intuitive-explanation-of-why-momentum-is-the-fourier-transform-variable-of-posit/39508#39508 gives the best idea intuitive idea: the Fourier transform writes a function as a (continuous) sum of plane waves, and each plane wave has a fixed momentum.

Bibliography:

Appears directly on Schrödinger equation! And in particular in the time-independent Schrödinger equation.

Basically the operators are just analogous to the classical ones e.g. the classical:becomes:

Besides the angular momentum in each direction, we also have the total angular momentum:

Then you have to understand what each one of those does to the each atomic orbital:

There is an uncertainty principle between the x, y and z angular momentums, we can only measure one of them with certainty at a time. Video 1. "Quantum Mechanics 7a - Angular Momentum I by ViaScience (2013)" justifies this intuitively by mentioning that this is analogous to precession: if you try to measure electrons e.g. with the Zeeman effect the precess on the other directions which you end up modifing.

TODO experiment. Likely Zeeman effect.

The first type of device that allowed sending Morse code without wires, as opposed to the wired electrical telegraph that previously existed.

Naval communications was one of the first major applications, as you can't have wires on boats!

Wireless voice transmission came about with modulation.