Simplicial volume is a notion from the field of topology and geometry, particularly in the study of manifolds. It essentially provides a way to measure the "size" of a topological manifold in a geometric sense. The concept is closely associated with the study of manifolds and their geometric structures, especially in the context of algebraic topology.
An **F-center** (or Farbzentrum, German for "color center") is a type of defect in a crystalline solid, particularly in ionic crystals. It arises when an anion is removed from its lattice site, leaving behind a vacant site (also called a vacancy). Electrons can occupy this vacancy, which can lead to the absorption of specific wavelengths of light, giving the crystal a characteristic color.
Former dwarf planet candidates refer to celestial bodies in the solar system that were considered for classification as dwarf planets but ultimately were not designated as such, either due to lack of sufficient evidence or because they did not meet all the criteria established by the International Astronomical Union (IAU) for dwarf planet status. To be classified as a dwarf planet, a celestial body must: 1. Orbit the Sun.
Henri Bacry is a name often associated with various contexts, including academia and mathematics, particularly in the fields of theoretical physics and applied mathematics. However, the most notable figure with this name is likely Henri Bacry, a French physicist known for his work in statistical physics, as well as his contributions to the understanding of complex systems and stochastic processes. His research has implications in areas such as finance, ecology, and social dynamics.
A Hermite ring, often related to the field of number theory and algebra, typically refers to a certain type of algebraic structure that has properties akin to those of Hermite polynomials or Hermitian matrices, although the precise definition may vary depending on the context in which the term is used. In a broader sense, a Hermite ring may refer to a ring of numbers or polynomials that uphold specific symmetries or characteristics reminiscent of Hermite functions or polynomials.
Mathematically, we can decide if two events are timelike-separated or spacelike-separated by just looking at the sign of the spacetime interval between them.
On the light cone, these are events on the left/right part of the cone.
Different observers might not agree on the order of two spacelike-separated events.
Further discussion at Section "Light cone".
The opposite of those events are timelike-separated events.
"Arithmetica" typically refers to a work by the ancient Greek mathematician Diophantus, who is often known as the "father of algebra." The full title of the work is "Arithmetica," and it is a collection of books that primarily deals with equations and number theory. Diophantus's methods involve finding integer solutions to polynomial equations, which is a major contribution to algebra.
Application of radiation pressure.
First live example: en.wikipedia.org/wiki/IKAROS
An optical multiplexer!
Vaalputs is a waste disposal site located in South Africa, specifically in the Northern Cape province. It serves as a national facility for the disposal of low- and intermediate-level radioactive waste. The site is managed by the National Radioactive Waste Disposal Institute (NRWDI), and its primary purpose is to ensure the safe and secure disposal of radioactive materials generated from various sources, including medical, industrial, and research facilities.
SOUD can refer to different concepts depending on the context. One common interpretation is that it might be an acronym or a specific term in fields such as technology, finance, or a particular organization. However, as of my last knowledge update in October 2023, there isn't a widely recognized definition or meaning for "SOUD" that stands out universally.
Boris Komrakov could refer to various individuals or concepts depending on the context, but he is most likely recognized as a mathematician known for his work in areas such as optimization theory and other mathematical fields.
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






