The term and idea was first introduced initialized by Hermann Weyl when he was working on combining electromagnetism and general relativity to formulate Maxwell's equations in curved spacetime in 1918 and published as Gravity and electricity by Hermann Weyl (1918). Based on perception that symmetry implies charge conservation. The same idea was later adapted for quantum electrodynamics, a context in which is has even more impact.
Ciro Santilli's favorite religion. He does not believe fully in it, nor has he studied it besides through brief Wikipedia and Googling.
Ciro likes Buddhism because it feels like the least "metaphysical explanations to things you can't see" of the religions he knows.
Ciro also believes that there is a positive correlation between being a software engineer and liking Buddhist-like things, see also: the correlation between software engineers and Buddhism.
More important than the monk itself in Chinese culture, it is used as a Budhist Amen. TODO find some usage in some Chinese television series.
Bought May 2024 to be my clean crypto-only computer. Searched for cheapest 1 TB disk 16 GB RAM not too old on Amazon with Ubuntu certification, and that was it at £479.00.
Some reviews:
OPSEC: will run only cryptocurrency wallets and nothing else. Will connect to Internet, but never ever to a non clean USB flash drive.
Bootstrap OPSEC:It must have taken about one week running full time to sync the Monero blockchain which at the time was at about 3.1M blocks! I checked on system explorer, and CPU and internet usage was never maxed out, suggesting simply slow network. But the computer still overheated quite a bit and froze a few times.
- turn on from factory, start Windows 11 Home 23H2 build 22631.2715, connect to home Wifi during setup process. Considered skipping WiFi, but I'll want to download the Ubuntu ISO later on anyways answers.microsoft.com/en-us/windows/forum/all/bypass-lets-connect-you-to-a-network/2ce188f6-1b28-45a0-97d2-bfccfa3c9188. Don't sign in to online Windows account, and turn off all spyware requests.
- on preinstalled Edge browser, download Ubuntu 24.04 ISO from ubuntu.com, check sha256 with
Get-FileHashon powershell even though that is pointless security.stackexchange.com/questions/1687/does-hashing-a-file-from-an-unsigned-website-give-a-false-sense-of-security, download balenaEtcher portable from etcher.balena.io/ (currently recommended burner at ubuntu.com/download/desktop#how-to-install) from etc, and burn Ubuntu into a SanDisk Ultra Flair 64 GB - install Ubuntu from USB flash. No internet connection initially, default everything.
- notice that Ubuntu 24.04 is too broken, install Ubuntu 22.04.4 on the previously used USB from Ubuntu, and then install 22.04 instead... minimal installation, encrypted ZFS
- Ubuntu 24.04 "The application files has closed unexpectedly". This likely terminated uncompression of the bz2 halfway, and led to a corrupted monerod...
- askubuntu.com/questions/15520/how-can-i-tell-ubuntu-to-do-nothing-when-i-close-my-laptop-lid fix the eternal laptop lid issue without GUI solution...
- copy view only wallet private key by takinga picture of the QR code with Android cell phone. This gives it to the CIA immediately, but that's fine as we're going to publish it publicly.
Complexity: NP-intermediate as of 2020:
- expected not to be NP-complete because it would imply NP != Co-NP: cstheory.stackexchange.com/questions/167/what-are-the-consequences-of-factoring-being-np-complete#comment104849_169
- expected not to be in P because "could we be that dumb that we haven't found a solution after having tried for that long?
Ciro Santilli's preferred visualization of the real projective plane is a small variant of the standard "lines through origin in ".
For those sphere points in the circle on the x-y plane, you should think of them as magic poins that are identified with the corresponding antipodal point, also on the x-y, but on the other side of the origin. So basically you you can teleport from one of those to the other side, and you are still in the same point.
Ciro likes this model because then all the magic is confined just to the part of the model, and everything else looks exactly like the sphere.
It is useful to contrast this with the sphere itself. In the sphere, all points in the circle are the same point. But this is not the case for the projective plane. You cannot instantly go to any other point on the by just moving a little bit, you have to walk around that circle.
Spherical cap model of the real projective plane
. On the x-y plane, you can magically travel immediately between antipodal points such as A/A', B/B' and C/C'. Or equivalently, those pairs are the same point. Every other point outside the x-y plane is just a regular point like a normal sphere.An important case is the discrete logarithm of the cyclic group in which the group is a cyclic group.
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 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. 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.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - 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





