Hacker News by Ciro Santilli 35 Updated +Created
The most popular programming news sharing forum of the 2010's by far. If your content gets shared there, and it stays on top for a day, the traffic peak will be incredible. Reddit posts are sure to follow.
Basically a programming-only Reddit-lite.
Ciro Santilli had a few of his content shared there as mentioned at the best articles by Ciro Articles.
Area by Ciro Santilli 35 Updated +Created
Error correction code by Ciro Santilli 35 Updated +Created
How to teach / Use English by Ciro Santilli 35 Updated +Created
By writing in English you reach more people.
Writing in any other language is a waste of time.
The reason is simple: English speakers control a huge proportion of the world's GDP.
English is the de-facto Lingua Franca of the second half of the 20th Century, it is the new lingua franca, the new Latin, and there is no escaping it.
Students who don't know English will never do anything truly useful in science and technology. So it is pointless to teach them anything (besides English itself).
How to teach / Explain how to make money with the lesson by Ciro Santilli 35 Updated +Created
People will be more interested if they see how the stuff they are learning is useful.
Useful 99% of the time means you can make money with it.
Achieving novel results for science, or charitable goals (e.g. creating novel tutorials) are also equaly valid. Note that those also imply you being able to make a living out of something, just that you will be getting donations and not become infinitey rich. and that is fine.
Projects don't need of course to reach the level of novel result. But they must at least aim at moving towards that.
This is one of the greatest challenges of education, since a huge part of the useful information is locked under enterprise or military secrecy, or even open academic incomprehensibility, making it nearly to impossible for the front-line educators to actually find and teach real use cases.
How to teach / Exams and homework are useless, only projects matter by Ciro Santilli 35 Updated +Created
The only thing that matters is that students aim towards the goals described at explain how to make money with the lesson.
Any "homework for which the student cannot use existing resources available online" is a waste of time.
The ideal way to go about it is to reach some intermediate milestone, and then document it. You don't have to do the hole thing! Just go until your patience with it runs out. But while you are doing it, go as deep and wide as you possibly can, without mercy.
The Moonshots in Education project also has a fantastic related quote:
Real World Work. Students must produce learning projects with real world applications and an authentic audience.
Center (group theory) by Ciro Santilli 35 Updated +Created
Group operation by Ciro Santilli 35 Updated +Created
Ring (mathematics) by Ciro Santilli 35 Updated +Created
A Ring can be seen as a generalization of a field where:
Addition however has to be commutative and have inverses, i.e. it is an Abelian group.
The simplest example of a ring which is not a full fledged field and with commutative multiplication are the integers. Notably, no inverses exist except for the identity itself and -1. E.g. the inverse of 2 would be 1/2 which is not in the set. More specifically, the integers are a commutative ring.
A polynomial ring is another example with the same properties as the integers.
The simplest non-commutative, non-division is is the set of all 2x2 matrices of real numbers:
Note that is not a ring because you can by addition reach the zero matrix.
Nabla symbol by Ciro Santilli 35 Updated +Created
Nabla is one of those: it was completely made up in modern times, and just happens to look like an inverted upper case delta to make things even more confusing!
Nabla means "harp" in Greek, which looks like the symbol.
Applications of the Fourier series by Ciro Santilli 35 Updated +Created
Formal system by Ciro Santilli 35 Updated +Created
Endurance athlete by Ciro Santilli 35 Updated +Created
Electronic lab equipment by Ciro Santilli 35 Updated +Created
Electronics bibliography by Ciro Santilli 35 Updated +Created
List of e-learning websites by Ciro Santilli 35 Updated +Created
Dirac delta function by Ciro Santilli 35 Updated +Created
The "0-width" pulse distribution that integrates to a step.
There's not way to describe it as a classical function, making it the most important example of a distribution.
Applications:
Ordinary differential equation by Ciro Santilli 35 Updated +Created

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