Hypergiant is a term that can refer to several different concepts, so context is important. In a literal astronomical sense, a hypergiant star is a very massive star that is much larger than a typical giant star. These stars have exceptionally high luminosity and can have masses ranging from about 25 to 100 times that of the Sun.
A solar plage is a bright region in the sun's atmosphere, primarily found in the chromosphere layer. These areas are characterized by elevated temperatures and densities compared to their surroundings and are often associated with sunspots and active regions. Solar plages appear as bright patches in images taken in certain wavelengths, particularly in the hydrogen-alpha () line, which is commonly used in solar observations.
AdS/CMT correspondence refers to the theoretical framework that connects concepts from conformal field theory (CFT), particularly those relevant in condensed matter physics (CMT), with Anti-de Sitter (AdS) space theories from string theory and quantum gravity.
A micromova is a small-scale explosive event that occurs on the surface of a star, similar to a supernova but much less energetic. These phenomena are typically associated with specific types of stars, such as white dwarfs or other stellar remnants, where the conditions for nuclear fusion or other reactions can lead to localized explosions.
"Pulsar" can refer to different things depending on the context. Here are a few of the most common meanings: 1. **Astrophysics**: In astronomy, a pulsar is a highly magnetized, rotating neutron star that emits beams of electromagnetic radiation out of its magnetic poles. These beams are usually observed in the radio frequency spectrum but can also include X-rays and gamma rays.
The Statue of Liberty in Seattle refers to a lesser-known replica of the famous Statue of Liberty in New York City. This smaller version is located on Alki Point in West Seattle. The statue was created as part of a private project by the local Seattle community in the 1950s and is not officially sanctioned by the United States government. The Seattle version of the statue was created in the 1950s to honor education, and it stands at approximately 15 feet tall.
Differential structures refer to the mathematical frameworks that allow us to study and analyze the properties of smooth manifolds using the tools of differential calculus. A smooth manifold is a topological space that locally resembles Euclidean space and has a differential structure that enables the definition of concepts such as smooth functions, differentiability, and tangent spaces. Here are some key aspects of differential structures: 1. **Manifolds**: A manifold is a topological space that is locally homeomorphic to Euclidean space.
A Clifford module bundle is a mathematical construct that arises in the context of differential geometry and representation theory, particularly in relation to spin geometry and the manipulation of spinors. To understand what a Clifford module bundle is, let's break this down into a few components: 1. **Clifford Algebras:** A Clifford algebra is an algebra that is generated by a vector space equipped with a quadratic form.
The Bagger-Lambert-Gustavsson (BLG) action is a theoretical framework in the context of supersymmetric gauge theories, specifically dealing with three-dimensional (3D) theories that include gauge fields and matter fields. The action was proposed independently by Craig Bagger, Neil Lambert, and Per Gustafsson around 2006 as a way to describe certain aspects of multiple M2-branes in string theory.
In the context of string theory, a domain wall refers to a type of solitonic solution in higher-dimensional field theories that can arise within the framework of string theory. Specifically, domain walls can represent interfaces or boundaries in spacetime where the physical properties of the fields change, often associated with a change in vacuum states or phases of the underlying field theory. In more technical terms, a domain wall is typically a (d-1)-dimensional object embedded in a d-dimensional spacetime.
"Siddiq Tawer" does not seem to refer to a widely recognized term, concept, or notable figure in public knowledge up to October 2023. It may be a name, a title, or a reference specific to a niche topic, language, or cultural context that isn’t widely known.
Freund–Rubin compactification is a method used in the context of string theory and higher-dimensional theories of gravity, particularly in relation to the compactification of extra dimensions. The concept was introduced by Justin Freund and Marvin Rubin in the early 1980s. In string theory and related theories, we often encounter scenarios where the observable universe is modeled as a four-dimensional spacetime (3 spatial dimensions plus time) embedded within a higher-dimensional space.
"Real structure" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematical Context**: In mathematics, "real structure" might refer to a structure that is defined over the real numbers. For instance, in topology or algebra, a "real structure" can mean a property or attribute of a mathematical object that involves real numbers, such as real vector spaces or real manifolds.
Killer Sudoku is a variant of the traditional Sudoku puzzle that adds an additional layer of complexity by introducing "cages." In a Killer Sudoku, the standard Sudoku rules still apply: the goal is to fill a grid (typically 9x9) with digits from 1 to 9 such that each row, column, and 3x3 subgrid contains each digit exactly once. The unique feature of Killer Sudoku is the presence of these cages, which are outlined by dotted or heavy lines.
Superglass can refer to a couple of different things depending on the context: 1. **Insulation Material**: In construction and insulation, "superglass" may refer to a type of advanced insulation material, often made from fiberglass or mineral wool. These materials are designed to be highly effective at insulating buildings, improving energy efficiency, and reducing heat loss.
The Sudoku Cube is a variation of the classic Sudoku puzzle presented in a three-dimensional format. It combines elements of traditional Sudoku with the structure of a cube, similar to a Rubik's Cube. In a typical Sudoku puzzle, the goal is to fill a grid (commonly 9x9) with numbers such that each row, column, and designated subgrid (like 3x3 boxes) contains all of the numbers without repetition.
The Davenport constant is a concept from additive number theory, particularly in the context of additive bases. It is defined in relation to a finite set of integers.
Kneser's theorem is a result in combinatorial topology and algebraic topology that deals with the intersection properties of certain families of subsets of a finite set. Specifically, it provides a bound on the size of families of subsets that can be chosen from a finite set, under the constraint that certain intersections are empty.
Cryogenic particle detectors are highly sensitive instruments designed to measure and detect low-energy particles, often at very low temperatures. These detectors operate at cryogenic temperatures, typically below 100 Kelvin (-173°C), where thermal noise is significantly reduced. This sensitivity allows them to detect very weak signals from particles, such as photons, electrons, or interactions from dark matter.

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