It basically replaces a bunch of discrete digital components with a single chip. So you don't have to wire things manually.
Particularly fundamental if you would be putting those chips up a thousand cell towers for signal processing, and ever felt the need to reprogram them! Resoldering would be fun, would it? So you just do a over the wire update of everything.
Vs a microcontroller: same reason why you would want to use discrete components: speed. Especially when you want to do a bunch of things in parallel fast.
One limitation is that it only handles digital electronics: electronics.stackexchange.com/questions/25525/are-there-any-analog-fpgas There are some analog analogs, but they are much more restricted due to signal loss, which is exactly what digital electronics is very good at mitigating.
The cool thing about parallel evolution is that it shows how complex phenotype can evolve from very different initial genetic conditions, highlighting the great power of evolution.
And analogously for matter, appears in the de Broglie relations relating momentum and frequency. Also appears in the Schrödinger equation, basically as a consequence/cause of the de Broglie relations most likely.
Intuitively, the Planck constant determines at what length scale do quantum effects start to show up for a given energy scale. It is because the Plank constant is very small that we don't perceive quantum effects on everyday energy/length/time scales. On the , quantum mechanics disappears entirely.
A very direct way of thinking about it is to think about what would happen in a double-slit experiment. TODO think more clearly what happens there.
Defined exactly in the 2019 redefinition of the SI base units to:
From Surely You're Joking, Mr. Feynman chapter O Americano, Outra Vez!:
The people from the airlines were somewhat bored with their lives, strangely enough, and at night they would often go to bars to drink. I liked them all, and in order to be sociable, I would go with them to the bar to have a few drinks, several nights a week.One day, about 3:30 in the afternoon, I was walking along the sidewalk opposite the beach at Copacabana past a bar. I suddenly got this treMENdous, strong feeling: "That's just what I want; that'll fit just right. I'd just love to have a drink right now!"I started to walk into the bar, and I suddenly thought to myself, "Wait a minute! It's the middle of the afternoon. There's nobody here, There's no social reason to drink. Why do you have such a terribly strong feeling that you have to have a drink?" - and I got scared.I never drank ever again, since then. I suppose I really wasn't in any danger, because I found it very easy to stop. But that strong feeling that I didn't understand frightened me. You see, I get such fun out of thinking that I don't want to destroy this most pleasant machine that makes life such a big kick. It's the same reason that, later on, I was reluctant to try experiments with LSD in spite of my curiosity about hallucinations.
One notable drug early teens Ciro consumed was Magic: The Gathering, see also: Section "Magic: The Gathering is addictive".
Those guys are really good, Ciro Santilli especially enjoyed their quantum mechanics playlist: www.youtube.com/playlist?list=PL193BC0532FE7B02C
The quantum electrodynamics one was a bit too slow paced for Ciro unfortunately, too much groundwork and too little results.
Many subjects have changed very little in the last hundred years, and so it is mind-blowing that people have to pay for books that teach them!
Since Ciro Santilli was young, he has been bewildered by the natural sciences and mathematics due to his bad memory.
The beauty of those subjects has always felt like intense sunlight in a fresh morning to Ciro. Sometimes it gets covered by clouds and obscured by less important things, but it always comes back again and again, weaker or stronger with its warmth, guiding Ciro's life path.
As a result, he has always suffered a lot at school: his grades were good, but he wasn't really learning those beautiful things that he wanted to learn!
First, before university, school organization had only one goal: put you into the best universities, to make a poster out of you and get publicity, so that more parents will be willing to pay them money to put their kids into good university.
Ciro once asked a chemistry teacher some "deeper question" after course was over, related to the superficial vision of the topic they were learning to get grades in university entry exams. The teacher replied something like:Ciro feels that this was one of the greatest compliments he has ever received in his life. This teacher, understood him. Funny how some things stick, while all the rest fades.
You remind me of a friend of mine. He always wanted to understand the deeper reason for things. He now works at NASA.
Another interesting anecdote is how Ciro Santilli's mother recalls that she always found out about exams in the same way: when the phone started ringing as Ciro's friends started asking for help with the subjects just before the exam. Sometimes it was already too hopelessly late, but Ciro almost always tried. Nothing shows how much better you are than someone than teaching them.
Then, after entering university, although things got way better because were are able to learn things that are borderline useful.
Ciro still felt a strong emotion of nostalgia when after university his mother asked if she could throw away his high school books, and Ciro started tearing them all down for recycling. Such is life.
University teachers were still to a large extent researchers who didn't want to, know how to and above all have enough time and institutional freedom to teach things properly and make you see their beauty, some good relate articles:
The very fact that you had very little choice of what to learn so that a large group can get a "Diploma", makes it impossible for people to deeply learn what the really want.
This is especially true because Ciro was in Brazil, a third world country, where the opportunities are comparatively extremely limited to the first world.
Also extremely frustrating is how you might have to wait for years to get to the subject you really want. For example, on a physics course, quantum mechanics is normally only taught on the third year! While there is value to knowing the pre-requisites, holding people back for years is just too sad, and Ciro much prefers backward design. And just like the university entry exams, this creates an entry barrier situation where you might in the end find that "hey, that's not what I wanted to learn after all", see also: students must have a flexible choice of what to learn.
We've created a system where people just wait, and wait, and wait, never really doing what they really want. They wait through school to get into university. They wait through university to get to masters. They wait through masters to get to PhD. They wait through PhD to become a PI. And for the minuscule fraction of those that make it, they become fund proposal writers. And if you make any wrong choice along the, it's all over, you can't continue anymore, the cost would be too great. So you just become software engineer or a consultant. Is this the society that we really want?
And all of this is considering that he was very lucky to not be in a poor family, and was already in some of the best educational institutions locally available already, and had comparatively awesome teachers, without which he wouldn't be where he is today if he hadn't had such advantages in the first place.
But no matter how awesome one teacher is, no single person can overcome a system so large and broken. Without technological innovation that is.
The key problem all along the way is the Society's/Government's belief that everyone has to learn the same things, and that grades in exams mean anything.
Even if you wanted to really learn natural sciences and had the time available, it is just too hard to find good resources to properly learn it. Even attending university courses are hit and miss between amazing and mediocre teachers.
If you go into a large book shop, the science section is tiny, and useless popular science books dominate it without precise experiment descriptions. And then, the only few "serious" books are a huge list of formulas without any experimental motivation.
And if you are lucky to have access to an university library that has open doors, most books are likely to be old and boring as well. Googling for PDFs from university courses is the best bet.
Around 2012 however, he finally saw the light, and started his path to Ciro Santilli's Open Source Enlightenment. University was not needed anymore. He could learn whatever he wanted. A vision was born.
To make things worse, for a long time he was tired of seeing poor people begging on the streets every day and not doing anything about it. He thought:which like everything else is likely derived subconsciously from something else, here Schindler's list possibly adapted quote from the Talmud:
He who teaches one thousand, saves one million.
So, by the time he left University, instead of pursuing a PhD in theoretical Mathematics or Physics just for the beauty of it as he had once considered, he had new plans.
We needed a new educational system. One that would allow people to fulfill their potential and desires, and truly improve society as a result, both in rich and poor countries.
And he found out that programming and applied mathematics could also be fun, so he might as well have some fun while doing this! ;-)
So he started Booktree in 2014, a GitLab fork, worked on it for an year, noticed the approach was dumb, and a few years later started building this new version. The repo github.com/booktree/booktree is a small snapshot of Ciro's 2014 brain on the area, there were quite a few similar projects at the time, and most have died.
Ciro is basically a librarian at heart, and wants to be the next:
- Jimmy Wales
- Brewster Kahle
- Tim Berners Lee
- Tim O'Reilly, who once brilliantly described O'Reilly Media as "a lifestyle business that got out of control" [ref]
- Aaron Swartz. Minus suicide hopefully.
"Jimmy Wales: How a ragtag band created Wikipedia" 2005 TED talk
. Source. Original source: www.ted.com/talks/jimmy_wales_the_birth_of_wikipedia.Start with consulting for universities to get some cash flowing.
Help teachers create perfect courses.
Choose a domain of knowledge, generate perfect courses for it, and find all teachers of the domain in the world who are teaching that and help them out.
Then expand out to other domains.
TODO: which domain of knowledge should we go for? The more precise the better.
- maths is perfect because it "never" changes. But does not make money.
- computer science might be good, e.g. machine learning.
OurBigBook.com Association with innovative schools by 
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01Where blog is taken in a wide sense, including e.g. Medium, WordPress, Facebook, Twitter, etc., etc.
The main shortcoming of blogs is the lack of topic convergence across blogs. Each blog is a moderated castle. So who is the best user for a given topic, or the best content for a given tag, across the entire website?
The only reasonable free material we have for advanced subjects nowadays are university lecture notes.
While some of those are awesome, when writing a large content, no one can keep quality high across all sections, there will always be knowledge that you don't have which is enlightening. And Googlers are more often than not interested only in specific sections of your content.
Our website aims to make smaller subjects vertically curated across horizontal single author tutorials.
MIT calculus course UCLA calculus course
* Calculus <---> * Calculus
* Limit <---> * Limit
* Limit of a function
* Limit of a series <---> * Limit of a series
* Derivative <---> * Derivative
* L'Hôpital's rule
* Integral <---> * IntegralSome more links:
- prose.sh/ multiblog, the only feature is easy of publishing from CLI
If Ciro Santilli were to write a book about quantum mechanics as of 2020 (before OurBigBook.com went live), he would upload an OurBigBook Markup website to GitHub Pages.
But there is one major problem with that: the entry barrier for new contributors is very large.
If they submit a pull request, Ciro has to review it, otherwise, no one will ever see it.
Our amazing website would allow the reader to add his own example of, say, The uncertainty principle, whenever they wants, under the appropriate section.
Open source development model in which developers develop in private, and only release code to the public during releases.
Notable example project: Android Open Source Project.
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