Neil deGrasse Tyson is an American astrophysicist, cosmologist, author, and science communicator. He is known for his work in popularizing science and making complex topics in astrophysics accessible to the general public. Tyson has served as the director of the Hayden Planetarium in New York City and has made numerous appearances on television, including hosting the reboot of the PBS series "Cosmos: A Spacetime Odyssey.
Lebesgue's Number Lemma is a fundamental result in real analysis, particularly in the context of uniform continuity and compactness. It is often used in the field of topology and forms an important part of the theory of measure and integration. The lemma states the following: Let \( \mathcal{U} \) be an open cover of a compact metric space \( X \).
Leland John Haworth was an American businessman and philanthropist known for his contributions to various industries and community initiatives. However, information about him may be limited or less well-known compared to other figures.
In algebra, a lemma is a proven statement or proposition that is used as a stepping stone to demonstrate a larger theorem or more complex result. Lemmas are often simpler and more specific than theorems, providing necessary support or foundational results that help prove more significant mathematical claims. The main characteristics of a lemma include: 1. **Supporting Role**: Lemmas are not typically the main focus of mathematical work; rather, they support the development of more substantial results (theorems).
Léon Brillouin (1889–1969) was a French physicist and a prominent figure in the field of condensed matter physics. He is best known for his contributions to the understanding of crystal dynamics and the theory of phonons, which are quantized modes of vibrations in a crystal lattice. One of his key contributions was the Brillouin zone concept, which is used in solid-state physics to describe the periodicity of the energy states of electrons in a crystalline solid.
Leon Cooper is an American physicist known for his contributions to the field of condensed matter physics. He is particularly famous for his work on superconductivity and the BCS theory, which he developed alongside John Bardeen and Robert Schrieffer in 1957. This theory explains how certain materials can exhibit zero electrical resistance at very low temperatures.
The Copa Libertadores is an annual club football (soccer) tournament organized by the South American Football Confederation (CONMEBOL). Established in 1960, it is one of the most prestigious tournaments in club football in South America, comparable to the UEFA Champions League in Europe. The tournament features the top club teams from various South American countries, including Brazil, Argentina, Chile, Colombia, Uruguay, Paraguay, and others.
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





