There is value in tutorials written by beginners by 
Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01Ciro Santilli is a big believer that there is value in tutorials written by beginners, because beginners are more likely to explain things in a way that other beginners can understand.
Even though they make more mistakes, this more approachable point of view can be very valuable.
And mistakes/omissions can be corrected on comments by people with more knowledge, so that the writer also ends up learning something new.
By other people:
- jakobschwichtenberg.com/about/ from Jakob Schwichtenberg mentions quotes C. S. Lewis book "Reflections on the Psalms"[ref]:
It often happens that two schoolboys can solve difficulties in their work for one another better than the master can. [...] The fellow-pupil can help more than the master because he knows less. The difficulty we want him to explain is one he has recently met. The expert met it so long ago he has forgotten. He sees the whole subject, by now, in a different light that he cannot conceive what is really troubling the pupil; he sees a dozen other difficulties which ought to be troubling him but aren't.
Generalize function to allow adding some useful things which people wanted to be classical functions but which are not,
It therefore requires you to redefine and reprove all of calculus.
For this reason, most people are tempted to assume that all the hand wavy intuitive arguments undergrad teachers give are true and just move on with life. And they generally are.
One notable example where distributions pop up are the eigenvectors of the position operator in quantum mechanics, which are given by Dirac delta functions, which is most commonly rigorously defined in terms of distribution.
Distributions are also defined in a way that allows you to do calculus on them. Notably, you can define a derivative, and the derivative of the Heaviside step function is the Dirac delta function.
Gradient, Divergence, Curl, and Laplacian by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01 Children cartoons Ciro Santilli liked to watch by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01These did not stand the test of time however.
When Ciro was ten years old, he was addicted to 2 cartoons: Pokemon and Dragon Ball Z!
Pokemon had just launched in Brazil in 1999, 2 years after the Japanese launch: br.historyplay.tv/hoje-na-historia/comeca-exibicao-original-do-anime-pokemon (archive) And Dragon Ball, was first aired in 1989 in Japan! My God, those translations took forever back then!
And everyone was playing Pokemon on their Game Boy Color. Ciro was already cheap however, and didn't buy the console despite wanting it, and just played it through his friends handhelds. But maybe this is a good thing. Playing alone sucks.
Ciro Santilli is a fan of this late 2010's buzzword.
It basically came about because of the endless stream of useless software startups made since the 2000's by one or two people with no investments with the continued increase in computers and Internet speeds until the great wall was reached.
Deep tech means not one of those. More specifically, it means technologies that require significant investment in expensive materials and laboratory equipment to progress, such as molecular biology technologies and quantum computing.
And it basically comes down to technologies that wrestle with the fundamental laws of physics rather than software data wrangling.
Computers are of course limited by the laws of physics, but those are much hidden by several layers of indirection.
Full visibility, and full control, make computer tasks be tasks that eventually always work out more or less as expected.
The same does not hold true when real Physics is involved.
Physics is brutal.
To start with, you can't even see your system very clearly, and often doing so requires altering its behaviour.
For example, in molecular biology, most great discoveries are made after some new technique is made to be able to observe smaller things.
But you often have to kill your cells to make those observations, which makes it very hard to understand how they work dynamically.
What we would really want would be to track every single protein as it goes about inside the cell. But that is likely an impossible dream.
The same for the brain. If we had observations of every neuron, how long would it take to understand it? Not long, people are really good at reverse engineering things when there is enough information available to do so, see also science is the reverse engineering of nature.
Then, even when you start to see the system, you might have a very hard time controlling it, because it is so fragile. This is basically the case of quantum computing in 2020.
It is for those reasons that deep tech is so exciting.
The next big things will come from deep tech. Failure is always a possibility, and you can't know before you try.
But that's also why its so fun to dare.
Stuff that Ciro Santilli considers "deep tech" as of 2020:
- brain-computer interface
- fusion power. The question there is, when is "deep", "too deep"?
For computer interfaces see: computer user-interface.
Ciro Santilli often wonders to himself, how much of the natural sciences can one learn in a lifetime? Certainly, a very strong basis, with concrete experimental and physics, chemistry and biology should be attainable to all? How much Ciro manages to learning and teach in those areas is a kind of success metric of Ciro's life.
If there is one thing that makes Ciro Santilli learn German, this is it (the Romance language are all the same, so reading them is basically covered for Ciro already).
Poet, scientists and warriors all in one? Conquerors of the useless.
A wise teacher from University of São Paulo once told the class Ciro Santilli attended an anecdote about his life:It turned out that, about 10 years later, Ciro ended up following this advice, unwittingly.
I used to want to learn Mathematics.But it was very hard.So in the end, I became an engineer, and found an engineering solution to the problem, and married a Mathematician instead.
If you are going to live, you might as well chase one of them.
You might not achieve them in your lifetime, but you never know. At some point, the pieces just "fall into place", and they happen.
And they will all come from deep tech.
Ciro Santilli would like to contribute to them. but this is a bit less realistic than software projects.
But who knows? Maybe he can code some stuff in those areas.
And one can at least have some fun by learning deeply about those subjects.
However it won't remain like that for long, because it will be migrated to OurBigBook.com, and therefore become a brain dump of society itself.
Major projects can be seen at: Section "The most important projects done by Ciro Santilli".
A summary of minor projects is given at: Ciro Santilli's minor projects.
This section is a dump for anything else, to keep those sacred first sections that show on the top of the homepage clean.
Maybe those are genial. Maybe not. Nostalgia is just too strong to discern. Ciro still goes back to them for rest.
One of the things Ciro Santilli most deeply despises.
Real luxury is to understand quantum field theory and number theory.
Clothing/jewelry/car luxury is at worst a way to show off. And at best a replacement for nature/the countryside. People living in big cities have lost nature, and to some, looking at luxury goods (or watching television) serves as a (unsatisfactory) replacement.
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