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And rightly so, since soccer in particular is truly ridiculously popular in Brazil, where "what is your local soccer team?" is just as valid a conversation starter as "Which city are you from?".
The ironic reason is simple: maybe is Brazil loses more on this useless art, then maybe people will get tired of it, and instead invest on more useful and beautiful arts.
Notably, what Ciro really wants people to root for are:
- the number of Brazilian Nobel Prizes, which is zero, yes, zero, as of 2020, despite a population of 210 million people. But thank God for our one Field Medal, what an epic start, even though Mathematics is useless.
- the number of high tech companies that have a global impact, which is likely extremely low as of 2020, and must contain only a few mammoths that dominate some local commodity market and therefore got enough money from that to expand a bit of technology worldwide. But they were mostly not classic tech startups that did world innovation from the start.
- how low your country's Gini coefficient is
Don't get Ciro wrong.
Observing professionals who do it amazingly can be beautiful.
But why the F do you have to root for a team unless your wife or children are playing in it (and even then..., how will that help?)?
What will you get from that?
Even if it is your national team, why does it matter if they win or lose?
Hooliganism just takes that uselessness to a hole new level.
Now some confessions.
A five year old Ciro will never forget when the feeling of Brazil won the 1994 World Cup on the penalties and everyone went mad that evening.
A nine year old Ciro stopped watching the 1998 World Cup Final of Brazil vs France half way during the 3-0 massacre and went to his front garden to kick his soccer ball on the metallic fence gate which represented a goal.
After that, Ciro went through puberty he guesses, and noticed that the natural sciences are just cooler than this soccer watching bullshit.
Interview by Web of Stories. His thesis is that football is the sport that looks most like a hunt, the scoring of a goal being the kill of the prey, and thus appeals to people's Paleolithic hunting habits the most. He feels it is more like hunting than war, and that the opposing team is just there to add some difficulty to scoring. He mentions that soccer has all the fundamental aspects of hunting: running after something, aiming, and hunting in a pack of allies. Ciro agrees with this dude. Ciro also adds that the fact that each soccer match has few goals, e.g. as opposed to basketball, makes it much more like a hunt, where you score few large kills per hunt.
Taxes pay for the physical car roads, so why shouldn't they also pay for the "online roads" of today?
The following services are obvious picks because they are so simple:
Other less simple ones that might also be feasible:
- geographic information system. Notable anti-example: United Kingdom's Ordnance Survey's apparently non-free-data
- App stores
All of them should have strong privacy enabled by default: end-to-end encryption, logless, etc. Governments are not going to like this part.
And then if you ever forget a password or lose a multi-factor authentication token, you can just go to an ID center with your ID to recover it.
Ciro 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.
Cirocoins can only be issued by Ciro Santilli.
Cirocoins are strictly nominal, and cannot be traded by recipients with anyone but Ciro, i.e. they are extremely illiquid.
Cirocoins can be removed from recipients at any point if they commit non-Cirist acts.
It is not possible to give a precise number to how many Cirocoins anyone owns. This is decided on a transaction by transaction basis. Ciro can therefore only inform you if your Cirocoin balance increased or decreased, but any attached number has no value, and thus are equivalent to expressions of type "you gained/lost a Cirocoin".
Notable lists:
The reason why the epsilon delta definition is so venerated is that it fits directly into well known methods of the formalization of mathematics, making the notion completely precise.
Main motivation: Lebesgue integral.
The Bright Side Of Mathematics 2019 playlist: www.youtube.com/watch?v=xZ69KEg7ccU&list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j
Approximates an original function by sines. If the function is "well behaved enough", the approximation is to arbitrary precision.
Fourier's original motivation, and a key application, is solving partial differential equations with the Fourier series.
Can only be used to approximate for periodic functions (obviously from its definition!). The Fourier transform however overcomes that restriction:
The Fourier series behaves really nicely in , where it always exists and converges pointwise to the function: Carleson's theorem.
Just by havin the notion of neighbourhood, concepts such as limit and continuity can be defined without the need to specify a precise numerical value to the distance between two points with a metric.
As an example. consider the orthogonal group, which is also naturally a topological space. That group does not usually have a notion of distance defined for it by default. However, we can still talk about certain properties of it, e.g. that the orthogonal group is compact, and that the orthogonal group has two connected components.
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.
Key for quantum mechanics, see: mathematical formulation of quantum mechanics, the most important example by far being .
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.
Figure 3. Visual Studio Code extension installation.
Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact