CPT symmetry is a fundamental principle in theoretical physics that combines three symmetries: Charge conjugation (C), Parity transformation (P), and Time reversal (T). 1. **Charge Conjugation (C)**: This symmetry relates particles to their antiparticles. For example, it transforms an electron into a positron and vice versa. 2. **Parity Transformation (P)**: This symmetry involves flipping the spatial coordinates, effectively reflecting a system through the origin.
Coxeter notation is a way of representing regular polytopes and their higher-dimensional analogs (such as regular polygons, polyhedra, and polychora) using a system based on pairs of numbers. It employs a compact notation that often consists of a string of integers, occasionally including letters or specific symbols to indicate certain geometric properties, relations, or symmetries.
A crystallographic point group is a mathematical classification of the symmetry of a crystal structure. These groups describe the symmetry operations that leave at least one point (typically the origin) invariant, meaning those operations do not alter the position of that point. The main symmetry operations included in crystallographic point groups are: 1. **Rotation**: Turning the crystal around an axis. 2. **Reflection**: Flipping the crystal across a plane.
Cymatics is the study of visible sound and vibration. The term is derived from the Greek word "kyma," meaning "wave." It refers to the phenomenon where sound waves create visible patterns in a medium, usually a viscous substance like water or a powder. In cymatics, sound frequencies are applied to a surface, causing it to resonate.
The FKG inequality, named after its contributors Fortuin, Kasteleyn, and Ginibre, is a result in probability theory that provides a relationship among joint distributions of certain random variables, particularly in the context of lattice structures, such as spins in statistical mechanics. It is most commonly applied in the study of lattice models in statistical physics, including the Ising model.
Inversion transformation typically refers to an operation used in various fields, including mathematics, computer science, statistics, and image processing. The specific meaning can vary based on the context, but here are a few common interpretations: 1. **Mathematics**: In mathematics, an inversion transformation often refers to a transformation that maps points in a space such that points are inverted relative to a particular point (the center of inversion) or a shape (like a circle or sphere).
A **non-Euclidean crystallographic group** refers to a symmetry group that arises in the study of lattices and patterns in geometries that are not based on Euclidean space. Crystallographic groups describe how a pattern can be repeated in space while maintaining certain symmetries, including rotations, translations, and reflections. In Euclidean geometry, the classifications of crystallographic groups are based on the 17 two-dimensional plane groups and the 230 three-dimensional space groups.
In geometry, symmetry refers to a property of a shape or object that remains unchanged under certain transformations, such as reflection, rotation, translation, or scaling. A geometric figure is said to be symmetric if there is a way to map it onto itself while preserving its overall structure and appearance.
Supersymmetry (SUSY) is a theoretical framework in particle physics that proposes a symmetry between two basic classes of particles: fermions (which make up matter, like electrons and quarks) and bosons (which mediate forces, like photons and gluons). In a fully realized supersymmetric model, each particle in the Standard Model of particle physics would have a superpartner with differing spin.
As of my last knowledge update in October 2023, there is no widely recognized company or organization specifically known as "Julip Horses Ltd." It's possible that it could be a small business, local entity, or a niche brand that produces or sells model horses or related products, as the name suggests a connection to the equestrian world.
In Argentina, there are several manufacturers known for producing automobiles and automotive parts. Some well-known companies include: 1. **Volkswagen Argentina**: A subsidiary of the German automotive company, producing a range of vehicles including sedans and SUVs. 2. **Ford Argentina**: The local branch of Ford Motor Company, manufacturing various models, including the beloved Ford Ranger.
Model Manufacturers of Australia (MMA) is an organization representing companies and individuals involved in the model manufacturing industry in Australia. This can include businesses that produce model kits, scales, and die-cast models related to various themes such as aircraft, vehicles, ships, and more. The association typically aims to promote the interests of manufacturers, foster collaboration within the industry, and support model enthusiasts and collectors.
Rocket candy, also known as "sugar rocket" or "candy rocket," is a type of solid rocket propellant made primarily from a mixture of sugar and an oxidizer, commonly potassium nitrate (KNO3). The sugar serves as the fuel, while the oxidizer provides the necessary oxygen for combustion. In its simplest form, the ingredients are often combined in a specific ratio, heated to facilitate mixing, and then formed into a solid mass.
Model manufacturers of Israel refer to companies or workshops in Israel that produce scale models, kits, and miniatures of various subjects, including military vehicles, aircraft, ships, and architectural models. Israel has a diverse modeling community and several manufacturers that cater to hobbyists and enthusiasts. Some notable companies and brands in Israel include: 1. **Maketar** - Known for their resin models and accessories, especially in military and vehicle kits.
Model manufacturers in Japan are companies that produce scale models, including model kits, die-cast models, and figurines. These manufacturers often focus on subjects like vehicles, aircraft, ships, and anime characters. Some well-known Japanese model manufacturers include: 1. **Bandai** - Famous for its Gundam model kits and various toy lines, Bandai produces high-quality plastic models and kits, especially in the sci-fi genre.
South Korea is home to several well-known model manufacturers, particularly in the realm of scale models, die-cast vehicles, and collectible figures. Some prominent model manufacturers based in South Korea include: 1. **Revell (Korea)** - A subsidiary of the global hobby model company, Revell produces a variety of plastic model kits, including aircraft, military vehicles, and ships.
Model Manufacturers of Sweden (MMS) refers to a collective or community of companies and brands involved in the production of scale models and miniature products in Sweden. This can include manufacturers of model cars, aircraft, ships, and figures, as well as various hobby-related products like tools and paints used for model building. Some notable Swedish model manufacturers may include: 1. **Revell Sweden** - Part of the Revell group, known for plastic model kits.
The Czech Republic is known for several model manufacturers that produce a variety of scale models, including aircraft, military vehicles, and cars. Some well-known model manufacturers from the Czech Republic include: 1. **Eduard** - Specializes in aircraft models and accessories, known for high-quality plastic kits and photo-etched details. 2. **Revell (Czech Republic)** - A branch of the well-known Revell brand, producing a wide range of model kits.
William A. Veech is an American biochemist known for his research in the fields of biochemistry and metabolism. He has made significant contributions to our understanding of metabolism, especially concerning the role of NAD+ and ADP-ribose in cellular processes. Veech is recognized for his work on the regulation of glycolysis, the citric acid cycle, and the metabolic pathways involving nicotinamide adenine dinucleotide (NAD) and its derivatives.

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