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.
Ciro Santilli's 10 month stay in Coventry, United Kingdom, in the year 2000 by
Ciro Santilli 40 Updated 2025-07-16
In 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.Moral injury refers to the psychological, emotional, or spiritual harm that occurs when individuals violate their own moral or ethical beliefs, often in situations where they feel they cannot act in accordance with their values. It is commonly discussed in contexts such as military combat, healthcare, and other high-stress professions where individuals may be faced with morally challenging decisions.
The Heinz dilemma is a moral problem that was introduced by psychologist Lawrence Kohlberg as part of his theory of moral development. The dilemma is presented as a scenario involving a man named Heinz whose wife is suffering from a terminal illness. The only way to save her is to obtain a drug that is very expensive, and the druggist who developed it is charging more than Heinz can afford.
Puritanical bias refers to a mindset or perspective that is influenced by the moral and ethical standards associated with Puritanism, a religious reform movement that originated in the late 16th and 17th centuries, primarily in England. Puritans emphasized values such as strict morality, religious discipline, and a focus on piety and virtue in both personal conduct and societal norms.
Alexander Beider is a notable figure recognized for his work in the fields of linguistics, onomastics (the study of names), and Jewish genealogy. He is particularly known for his research on Jewish surnames, exploring their origins, meanings, and historical contexts. Beider has authored several books and studies on these topics, contributing significantly to the understanding of Jewish naming conventions and their cultural implications.
Nikolay Storonsky is a prominent entrepreneur and businessman known primarily as the co-founder and CEO of Revolut, a financial technology company that offers a range of banking services, including currency exchange, debit cards, cryptocurrency trading, and international money transfers. Founded in 2015, Revolut has gained significant popularity for its user-friendly mobile app and competitive fees compared to traditional banks.
A bivector is a geometric object that arises in the context of multivector algebra, particularly within the framework of geometric algebra. It represents an oriented area element and can be thought of as being associated with the plane spanned by two vectors in a vector space. In more formal terms, a bivector is defined as the exterior (or wedge) product of two vectors.
Motion refers to the change in position of an object over time. It is a fundamental concept in physics and can be described in terms of displacement, distance, velocity, acceleration, and time. Motion occurs when an object moves from one location to another, and it can be classified in various ways, including: 1. **Types of Motion**: - **Linear Motion**: Movement in a straight line. - **Rotational Motion**: Movement around an axis or center point.
Tensor reshaping is the process of changing the shape or dimensions of a tensor without altering its data. A tensor is a mathematical object that can be thought of as a generalization of scalars, vectors, and matrices to higher dimensions. In machine learning and data manipulation, tensors are commonly used to represent multi-dimensional data.
Multicriteria classification is a decision-making process that involves assessing and categorizing alternatives based on multiple criteria or dimensions. It is commonly used in fields such as operations research, environmental management, engineering, and socio-economic studies, among others. The goal is to find the best option that meets the various objectives, considering the trade-offs between competing criteria. ### Key Components of Multicriteria Classification: 1. **Alternatives**: These are the different options or choices that need to be evaluated.
In music theory, the term "equivalence class" can refer to a grouping of elements that share a certain property, making them interchangeable within a particular context. While the concept isn't as commonly discussed as in other fields like mathematics or computer science, it can still be relevant in various areas of music analysis and composition.
Microtonality refers to the use of musical intervals smaller than the conventional semitones found in Western music. While Western music typically divides an octave into 12 equal parts (semitones), microtonal music explores a wider range of pitches, often incorporating intervals that can be fractions of a semitone.
Nanomanufacturing is a branch of manufacturing that focuses on the production and manipulation of materials and devices at the nanoscale, which typically ranges from 1 to 100 nanometers. At this scale, materials often exhibit unique properties that differ significantly from their bulk counterparts due to quantum effects and increased surface area-to-volume ratios. Nanomanufacturing involves various processes and techniques to design, create, and assemble nanoscale materials and structures.
Mulla Nasiruddin, also known as Nasreddin Hodja or simply Nasreddin, is a popular figure in Middle Eastern, Central Asian, and South Asian folklore. He is often portrayed as a wise fool or a comedic character who uses wit and humor to convey moral lessons and social commentary. His stories often feature absurd situations, clever tricks, and humorous dialogues that reveal profound truths about human nature, society, and daily life.
Silicon nanowires are nanoscale structures made of silicon that have diameters typically ranging from a few nanometers to several hundred nanometers and lengths that can be several micrometers or longer. These one-dimensional structures exhibit unique electrical, optical, and mechanical properties that differ significantly from bulk silicon due to their reduced dimensionality and increased surface-to-volume ratio.
"The Thief and the Cobbler" is an animated film that was originally conceived by British animator Richard Williams. The project began in the 1960s and was intended to be a visually ambitious adaptation of the Arabian Nights tale about a clever cobbler and a thieving character who becomes enmeshed in a series of adventures involving a beautiful princess, a golden city, and an evil sorcerer.
The Hawker Hurricane is a British single-seat fighter aircraft that was designed and built by Hawker Aircraft. It first flew in 1935 and played a significant role during World War II, especially in the early years of the conflict. The Hurricane is best known for its performance during the Battle of Britain in 1940, where it, along with the Supermarine Spitfire, formed the backbone of the Royal Air Force's defense against the German Luftwaffe.
The Federal Statistical System of the United States is a network of federal agencies that collect, analyze, and disseminate statistical information about the nation's economy, society, and environment. The system plays a critical role in providing data that inform government policy, support research, and guide business and economic decisions. Key aspects of the Federal Statistical System include: 1. **Agencies**: The system comprises various federal agencies, including the U.S.
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





