Whenever Ciro Santilli walks in front of a school and sees the tall gates it makes him sad. Maybe 8 year olds need gates. But do we need to protect 15 year olds like that? Students should be going out to see the world, both good and evil not hiding from it! We should instead be guiding them to the world. But instead, we are locking them up in brainwashing centers.
Video "The Purpose of Education by Noam Chomsky (2012)" puts it well, education can be either be:
He has spoken about that infinitely, e.g. from when he was thin: www.youtube.com/watch?v=JVqMAlgAnlo
Bibliography:
If is the change of basis matrix, then the matrix representation of a bilinear form that looked like:
then the matrix in the new basis is:
Sylvester's law of inertia then tells us that the number of positive, negative and 0 eigenvalues of both of those matrices is the same.
Proof: the value of a given bilinear form cannot change due to a change of basis, since the bilinear form is just a function, and does not depend on the choice of basis. The only thing that change is the matrix representation of the form. Therefore, we must have:
and in the new basis:
and so since:
Eightfold way (physics) Updated 2025-07-16
Video 1.
Strangeness Minus Three (BBC Horizon 1964)
Source. Basically shows Richard Feynman 15 minutes on a blackboard explaining the experimental basis of the eightfold way really well, while at the same time hyperactively moving all over. The word symmetry gets tossed a few times.
The Einstein summation convention works will with partial derivatives and it is widely used in particle physics.
In particular, the divergence and the Laplacian can be succinctly expressed in this notation:
In order to express partial derivatives, we must use what Ciro Santilli calls the "partial index partial derivative notation", which refers to variables with indices such as , , , , and instead of the usual letters , and .
Einstein solid Updated 2025-07-16
One important quantum mechanics experiment, which using quantum effects explain the dependency of specific heat capacity on temperature, an effect which is not present in the Dulong-Petit law.
This is the solid-state analogue to the black-body radiation problem. It is also therefore a quantum mechanics-specific phenomenon.
Charging for certification is fine. Creating exams and preventing cheating has a cost.
Another thing that is fine charging for is dedicated 1-to-1 tutor time. This is something Udacity is doing as of 2022.
www.investopedia.com/articles/investing/042815/how-coursera-works-makes-money.asp has a good mention:
MOOCs were first created by people with utopian visions for the internet. This means the idea for platforms like Coursera was likely conceived without a business plan in mind. Nonetheless, Coursera has managed to monetize its platform. It is worth noting, however, that monetization has lead to the effective elimination of the original MOOC idea, which is predicated on ideals like free and open access, as well as the building of online communities.
Coursera users must pay to engage with the material in a meaningful way and take courses for individualistic purposes. This has been a consistent trend among all major online education platforms.
and it links to: www.freecodecamp.org/news/massive-open-online-courses-started-out-completely-free-but-where-are-they-now-1dd1020f59/, very good article!
That is a fundamental guiding principle of OurBigBook.com. The educational content must be licensed CC BY-SA!
Perhaps the most reliable way of reaching this state is E-learning websites must allow students to create learning content.
Bibliography:
Electrical impedance Updated 2025-07-16
It really allows you to do alternating current calculations much as you'd do DC calculations with resistors, quite poweful. It must have been all the rage in the 1950s.
Electromagnetism Updated 2025-07-16
As of the 20th century, this can be described well as "the phenomena described by Maxwell's equations".
Back through its history however, that was not at all clear. This highlights how big of an achievement Maxwell's equations are.
Electronic component Updated 2025-07-16
Video 1.
Open Circuits book interview by CuriousMarc (2022)
Source.
Electronic money Updated 2025-07-16
Our minimal definition of "electronic money" is the following.
Instead of creating legal tender such as Dollars as banknotes or transactions in some complex obscure banking system, the government offers an official simple centralized API that represents it instead.
Each citizen or legal entity has an account there, and transfers between registered users are just simple API calls.
So for example you would e able to put all your money in the government account instead of using useless banks. And then you would invest it as you want with the investment company of your choice, without tying the "my money is here" with "this is the best investment" aspects of banks.
Abortion Updated 2025-07-16
Ciro Santilli is for abortion rights of women, until very late in pregnancy.
But it's not something that he would do himself, unless under extreme cases.
Electronic oscillator Updated 2025-07-16
Something where DC voltage comes in, and a periodic voltage comes out.
Video 1.
Oscillators: RC, LC, Crystal by GreatScott! (2015)
Source. Good video. Contains actual breadboard experiments on oscilloscope and circuit diagrams
JavaScript Updated 2025-07-16
The language all browsers converted to as of 2019, and therefore the easiest one to distribute and most widely implemented programming language.
Hopefully will be killed by WebAssembly one day.
Because JavaScript is a relatively crap/ad-hoc language, it ended up some decent tooling to make up for that, e.g. stuff like linting via ESLint and reformatting through Prettier is much more widespread than in other languages.
JavaScript data structure are also quite a bit anemic, which makes libraries such as lodash incredibly popular. But most of that stuff should be in the stdlib.
Our JavaScript examples can be found at:
Electronic voting Updated 2025-07-16
This is a must if the people want to regain control of their society from apathetic politicians.
I would also increase voter percentage due to convenience, and reduce the weight of voting fraud cases, as everyone would be able to check that their own vote was counted correctly.
And then, we would be able to have referendums for basically any important decision being made. No need to go out on the streets and waste your time in a mass protest! Just vote!
It is possible to implement anonymous electronic voting with ring signatures, an algorithm also used by Monero, an anonymity focused cryptocurrency, as mentioned e.g. on this 2004 paper eprint.iacr.org/2004/281.pdf. The system can be set in a way such that you can only deanonymize someone if everyone else, or a very large number of people, conspire against that person.
The same system could also be used to setup forums where only citizens of the country could comment and propose changes and vote on them.
With electronic voting, we could have a system where you can let someone you trust vote for you automatically, or vote automatically for certain subjects alone, a bit like we do by electing senators. But then you would also be able to override specific votes if you wanted to.
In this system therefore, anyone who can proxy vote has to have their vote public, and placed in a decent website that shows clearly who voted for what.
Related:
Electroweak interaction Updated 2025-07-16
Video 1.
Electroweak Theory and the Origin of the Fundamental Forces by PBS Space Time (2020)
Source. Unsatisfactory, as usual.
Jazz fusion Updated 2025-07-16
Ciro's 2020 perfect Friday evening: jazz fusion + study quantum field theory on an Amazon Kindle. Ahhhhhh.

There are unlisted articles, also show them or only show them.