The Poincaré–Bendixson theorem is a fundamental result in the field of dynamical systems, particularly concerning the behavior of continuous dynamical systems in two dimensions. It addresses the long-term behavior of trajectories in a planar (2-dimensional) system described by a set of ordinary differential equations.
In simple terms, if you believe in the Schrödinger equation and its modern probabilistic interpretation as described in the Schrödinger picture, then at first it seem that there is no strict causality to the outcome of experiments.
People have then tried to recover that by assuming that there is some inner sate beyond the Schrödinger equation, but these ideas are refuted by Bell test experiments, unless we give up the principle of locality, which feels more important, especially in special relativity, where faster-than-light implies time travel, which breaks causality even more dramatically.
Ciro Santilli's 10 month stay in Coventry, United Kingdom, in the year 2000 by 
Ciro Santilli 40 Updated 2025-07-16
Ciro Santilli 40 Updated 2025-07-16In the year 2000, Ciro lived with his parents for 10 months in the Coventry because his father took some courses at the University of Warwick. This was Ciro's most important educational experience, more so than any other inCiro Santilli's formal education, because it taught him the Holy Language of English, which infinitely expanded Ciro's Internet horizons, and shaped Ciro's having more than one natural language is bad for the world philosophy. When he came back to Brazil, Ciro skipped dozens of levels in his English school in Santos, São Paulo, Brazil, a Brazilian chain called Cultura Inglesa, and was put to study with much older teenagers who marveled at Ciro's incredibly cute, but since lost, British accent.
Another huge advantage of Coventry is that the Hearsall Community Primary School where Ciro studied was a regular British primary school but with two classes dedicated to foreign students to learn English before integrating with the British students. There were a several kids from Kosovo there due to the Kosovo War which was just ending, and it was there that Ciro made his first Chinese friend, yet unaware of course of the role the country would later play in his life. One particularly fun memory was that of playing soccer on the school playground with a sponge ball to avoid breaking the windows. Then one day it was raining, british weather of course, but Ciro still went for a header, and the soaked sponge ball was soaked and splashed Ciro with dirty water all over. Good days.
Some other good memories are of reading the first two Harry Potters, playing and mostly watching other kids play Pokemon on their Game Boys and Pokemon trading cards, and going to a nearby commons playing field and woods, as it typical throughout the UK. Ciro also played some rugby with a local boys team TODO name? but for some reason his team was always crushed when they went to nearby towns to play against other teams. And Ciro also went with his family or with school to some nearby attractions, like Stratford-Upon-Avon (Shakespeare's hometown), and some castles.
When Ali G met the Beckhams by Comic Relief (2001)
Source. Ciro's father really liked Ali G. when they were in the UK in the year 2000, and Ciro would watch along, not fully getting all jokes, but still amused by his irreverence. This interview with David and Victoria Beckham is perhaps one of Ali's best performances.Wicked wicked jungle is massive song from Ali G Indahouse (2002)
Source. OK, the last Ali G video, I promise. Maybe. This video illustrate well the main point of Ali G's humour: his cultural appropriation of American black rap/crime culture, despite it being entirely incongruence with his British background.Foot voting is a term used in political theory and economics that describes the process by which individuals express their preferences and make choices about where to live or reside based on the conditions and policies of different jurisdictions. Instead of voting at the ballot box to select political candidates or influence laws, individuals "vote with their feet" by moving to places that align better with their values, needs, and interests.
All with olive oil and salt mixed up before roasting.
2021-04-05 180C:
2021-02-06 180C:
2021-01-04:
2020-11-21:
- mixed nuts: 180C, 10 minutes, did not reach the point. Then 7 more minutes on 190C: pecans completely burned out
- almonds: 190C, about 25 minutes, opened several times, in the end had a slight burnt taste, but did not get black, just darker brown. Not as crispy as the ones we buy roasted, but pretty good
- pecans: 180C, 13 minutes, opened 3 times to stir, became great
When I came, two Bell GU4 (MR11) 20W 12v.
One burnt. Put in an ASDA halogen one.
ASDA burnt, put in TopLux on right, old Bell left.
2019-01-24, right one burnt a few days ago, old Bell still works. Inner part black, and black dot on the wire. Putting new TopLux again, but this time on the left, old bell on right.
2019-01-24 toilet top lamp also burnt a few days ago, but not at the same time as mirror. Diall, 240V 40W, GU10. Putting in IKEA 240V 35W.
2019-02-02 toilet mirror lamp left (TopLux) burnt. Don't know what to do anymore. Only the magic Bell lamp works.
2019-03-06 toilet top lamp left burnt, IKEA 240V 35W GU10. Putting in another one.
2019-03-28 toilet top lamp right burnt, IKEA 240V 35W GU10. Waiting for people to come to look at transformer, there is definitely something wrong.
2019-04-03 top lamps: replaced with LED (LAP GU10 3W) since lower power, transformer not changed. Mirror lamps: transformer changed, left one replaced with Homebase Halogen 20W 12V. When I came back lamps flickering badly and sometimes not turning on, recalled technician.
2019-04-12 mirror lamp: it was just he connector that was bad, it was changed, also put LEDs there to make it less warm and hopefully have less tear on connector.
£112.99
Buying October 2023 as an immediate backup phone after the Google Pixel 3a (2020) touchscreen died, and Motorola Moto G6 Play (2018) wouldn't connect to giffgaff.
June 2026: screen stopped working, unknown cause, was seeing low usage. Android splash, Vertical lines and flashing on power on, then black.
Still working checks: May 2024.
Bought: 2020-11-07. Also getting a park Tool PAW-12 adjustable wrench to use with it.
Ciro Santilli's hardware Samsung MZVLB512HAJQ-000L7 512GB SSD by Ciro Santilli 40 Updated 2025-07-16
Ciro Santilli 40 Updated 2025-07-16PCIe TLC OPAL2.
www.samsung.com/semiconductor/global.semi/file/resource/2018/05/PM981_M.2_SSD_Datasheet_v1.3_for_General.pdf | web.archive.org/web/20181224225410/https://www.samsung.com/semiconductor/global.semi/file/resource/2018/05/PM981_M.2_SSD_Datasheet_v1.3_for_General.pdf
sudo hdparm -Tt /dev/nvme0n1p5 on Ubuntu 20.04: Timing cached reads: 29812 MB in 1.99 seconds = 15007.00 MB/sec
HDIO_DRIVE_CMD(identify) failed: Inappropriate ioctl for device
Timing buffered disk reads: 6328 MB in 3.00 seconds = 2109.00 MB/sec 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