Four Treasures of the Study  Updated 2025-07-16
 University entry exam  Updated 2025-07-16
They mean that until you are 18, you have to study a bunch of generic crap you hate just to get into university. Rather than studying whatever it is that you truly love to become a God at it as fast as possible and have any chance of advancing the field.
And then, if you decide that you want to change, which is not unlikely since you haven't really try to study what you signed up for before then, it can be very hard and time consuming, leading to a bunch of adults with useless degress they will never use at work.
 University has become a luxury item  Updated 2025-07-16
medium.com/left-right/the-education-system-is-about-to-implode-5c95f774b523 The Education System is About to Implode by Nicholas Budny (2020)
Stanford, MIT, Harvard and Oxford are luxury goods in the same sense that a Mercedes-Benz might be, or the latest iPhone. They sell an aesthetic experience that provides the consumer with social status, similar to acquiring expensive clothes or a fancy house.
Bar scene from Good Will Hunting
. Source. This scene is way way overdone. But: University is broken  Updated 2025-07-16
You just have to spend a few minutes with students until they complain about the courses or teachers. And you just have to spend a few hours with teachers until they complain about the students or broader system.
University is broken, and everyone knows it. The only question now is finding a viable, "political cash flow positive" path, into something better.
Bibliography:
- academeblog.org/2022/10/05/american-universities-are-going-to-implode/ American Universities Are Going to Implode (2022) by www.linkedin.com/in/jsgabin/
- theimaginativeconservative.org/2020/04/higher-education-implode-alexander-zubatov.html Higher Education Is About to Implode by Alexander Zubatov (2020)
- 2024-05-28 www.theguardian.com/education/article/2024/may/28/i-see-little-point-uk-university-students-on-why-attendance-has-plummeted ‘I see little point’: UK university students on why attendance has plummetedGive it to me, baby. OurBigBook incoming."There’s a bit of a feeling that there is just box-ticking going on [among students], and getting a degree at the end of it." 
 Unmigrated sections of the old version of Ciro Santilli's website  Updated 2025-07-16
It is interesting to see how your own ideas shift with time, and Ciro Santilli doesn't think the following are very important anymore, so he was lazy to migrate them.
 Business film  Updated 2025-07-16
Ciro Santilli defines a "business film" as a film about business, enterprises or entrepreneurship. Political thrillers are closed related as well.
This is one of his favorite film genres!
Some lists:
- www.99signals.com/movies-entrepreneur-watch-inspiration Hit and miss.
- www.imdb.com/list/ls033563570/ Best Business Movies and Documentaries by scott_dowle
 Quantum number  Updated 2025-07-16
Quantum numbers appear directly in the Schrödinger equation solution for the hydrogen atom.
However, it very cool that they are actually discovered before the Schrödinger equation, and are present in the Bohr model (principal quantum number) and the Bohr-Sommerfeld model (azimuthal quantum number and magnetic quantum number) of the atom. This must be because they observed direct effects of those numbers in some experiments. TODO which experiments.
E.g. The Quantum Story by Jim Baggott (2011) page 34 mentions:This refers to forbidden mechanism. TODO concrete example, ideally the first one to be noticed. How can you notice this if the energy depends only on the principal quantum number?
As the various lines in the spectrum were identified with different quantum jumps between different orbits, it was soon discovered that not all the possible jumps were appearing. Some lines were missing. For some reason certain jumps were forbidden. An elaborate scheme of ‘selection rules’ was established by Bohr and Sommerfeld to account for those jumps that were allowed and those that were forbidden.
Quantum Numbers, Atomic Orbitals, and Electron configurations by Professor Dave Explains (2015)
 Source. He does not say the key words "Eigenvalues of the Schrödinger equation" (Which solve it), but the summary of results is good enough. BookofProofs  Updated 2025-07-16
No open signup it seems. TODO CV of owner.
They are making a proof assistant to integrate into the website: github.com/bookofproofs/fpl/, reminds Ciro Santilli of website front-end for a mathematical formal proof system.
 Boosted fission weapon  Updated 2025-07-16
 Born-Oppenheimer approximation  Updated 2025-07-16
 Bose-Einstein condensate  Updated 2025-07-16
Inward Bound by Abraham Pais (1988) page 282 shows how this can be generalized from the Maxwell-Boltzmann distribution
 Boston Marathon bombing  Updated 2025-07-16
 Bounding box  Updated 2025-07-16
 Bo Ya  Updated 2025-07-16
en.wikipedia.org/w/index.php?title=Bo_Ya&oldid=1150295883#The_story_about_Zhiyin:
Bo Ya was good at playing the qin. Zhong Ziqi was good at listening to the qin. When Bo Ya's will was towards high mountains in his playing, Zhong Ziqi would say, "How towering like Mount Tai!" When Bo Ya's will was towards flowing water in his playing, Zhong Ziqi would say, "How vast are the rivers and oceans!" Whatever Bo Ya thought of Ziqi would never fail to understand. Bo Ya said, "Amazing! Your heart and mine are the same!" After Zhong Ziqi died, Bo Ya broke his Guqin because he thought that no one else can understand his music.
 Linear map  Updated 2025-07-16
One thing that makes such functions particularly simple is that they can be fully specified by specifyin how they act on all possible combinations of input basis vectors: they are therefore specified by only a finite number of elements of .
Every linear map in finite dimension can be represented by a matrix, the points of the domain being represented as vectors.
As such, when we say "linear map", we can think of a generalization of matrix multiplication that makes sense in infinite dimensional spaces like Hilbert spaces, since calling such infinite dimensional maps "matrices" is stretching it a bit, since we would need to specify infinitely many rows and columns.
The prototypical building block of infinite dimensional linear map is the derivative. In that case, the vectors being operated upon are functions, which cannot therefore be specified by a finite number of parameters, e.g. 
For example, the left side of the time-independent Schrödinger equation is a linear map. And the time-independent Schrödinger equation can be seen as a eigenvalue problem.
 Linker (computing)  Updated 2025-07-26
 Brazil  Updated 2025-07-16
An awesome country, with amazing people and natural resources, and without an evil government like China.
 Brazilian Portuguese  Updated 2025-07-16
 Brazilian real  Updated 2025-07-16
 Brazilian Student Association  Updated 2025-07-16
This is a good initiative. Since the government is incapable of doing shit in this area, individuals have to do it themselves.
They even have a scholarship program...: www.bolsas.gobrasa.org/
 There are unlisted articles, also show them or only show them.
