Radiation damping refers to the phenomenon where the motion of charged particles, such as electrons, emits electromagnetic radiation, resulting in a loss of energy from the system. This loss of energy can affect the dynamics of the particle's motion, particularly when it is undergoing acceleration or oscillation. In classical electrodynamics, when a charged particle accelerates, it produces electromagnetic waves that carry energy away from the particle.
Vieta's formulas are a set of relations in algebra that relate the coefficients of a polynomial to sums and products of its roots. They are particularly useful in the context of polynomial equations.
Internal ballistics is the study of the processes and phenomena that occur within a firearm or artillery piece from the moment the propellant is ignited until the projectile exits the barrel. This field encompasses various aspects, including the ignition of the propellant, the combustion of the propellant gases, the generation of pressure and temperature in the chamber, and the acceleration of the projectile as it travels down the barrel.
In the context of group theory, a **torsion group** typically refers to a group in which every element has finite order. This means that for any element \( g \) in the group \( G \), there exists a positive integer \( n \) such that \( g^n = e \), where \( e \) is the identity element of the group.
A light-gas gun is a type of experimental projectile launcher that uses a combination of gas and light to accelerate projectiles to very high velocities. It is primarily used in scientific research and testing, particularly in the fields of materials science, aerospace engineering, and ballistics. The concept of a light-gas gun was developed to simulate the conditions of high-speed impacts that materials and structures might experience during events such as space re-entry or impact from meteoroids.
In South Australia, "big things" refer to oversized roadside attractions that are popular with tourists and locals alike. These attractions typically feature large sculptures of various animals, food items, and iconic symbols of the region. Some of the most famous big things in South Australia include: 1. **The Big Lobster (Langhorne Creek)** - A giant lobster sculpture that has become a symbol of the local fishing industry.
Binding energy is the energy required to disassemble a system of particles into its individual components. In the context of nuclear physics, it specifically refers to the energy needed to separate a nucleus into its individual protons and neutrons. When these nucleons are bound together within the nucleus, they exhibit a lower total energy compared to when they are free and unbound.
In mathematics, particularly in the field of algebra and number theory, the term "residual property" can refer to several concepts depending on the context. However, it is not a standard term and may not have a single, universally accepted definition across branches of mathematics.
The Schreier conjecture is a conjecture in the field of group theory, specifically concerning the properties of groups of automorphisms. It was proposed by Otto Schreier in 1920. The conjecture states that for every infinite group \( G \) of automorphisms, the rank of the group of automorphisms \( \text{Aut}(G) \) is infinite.
The term "Slender group" generally refers to a specific type of mathematical group in the context of group theory, particularly in the area of algebra. More formally, a group \( G \) is called a slender group if it satisfies certain conditions regarding its subgroups and representations. In particular, slender groups are often defined in the context of topological groups or the theory of abelian groups.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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