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:
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.
When he did the original website Ciro was in a "I must show off my skills to get a job mindset", but then after he landed a few jobs he moved to a "CV websites are useless, just do amazing projects and showcase them on your website to help them succeed" mindset.
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:
Quantum number Updated 2025-07-16
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:
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.
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?
Video 1.
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.
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
A linear map is a function where and are two vector spaces over underlying fields such that:
A common case is , and .
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.
Brazil Updated 2025-07-16
An awesome country, with amazing people and natural resources, and without an evil government like China.
When visiting Brazilian cities coming from Europe, one of the things that shocks the most is the amount of motorcycles. It seems that the poorer the country, the less people's lives are worth, and the more motorcycles there are.
Another thing that was shocking is the amount of phone spam when you get a new SIM card, some legal and some likely illegal. Everyone is desperate for cash it seems on a poor country, and everyone fights hard for it.
Breadboard Updated 2025-07-16
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.
Figure 1.
Point-to-point constructions on woden boards
. Source. Predecessors to breadboards from where the name came. A thing of beauty, so vintage. You could actually write stuff on those with a pencil!
Video 1.
Breadboards - Trash or Treasure? by Keysight (2020)
Source.
Lisa Su Updated 2025-07-16

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