Gravitoelectromagnetism (GEM) is a theoretical framework that draws an analogy between gravity and electromagnetic phenomena. In this approach, the effects of gravity on objects can be described using concepts that are somewhat similar to those in electromagnetism. This analogy arises in the context of general relativity and in various theories that seek to describe gravitational interactions in a manner reminiscent of electromagnetic interactions.
The Hughes–Drever experiment, conducted in the 1950s by physicists Herbert Hughes and David Drever, was designed to test the isotropy of space-time and the validity of Lorentz invariance, which is a key principle of Einstein's theory of relativity. The experiment aimed to investigate whether physical laws, including the behavior of light, would remain the same regardless of the orientation or motion of the experimental apparatus in relation to the Earth's motion through space.
TeX editors that use Qt are software applications designed for editing TeX documents and are built using the Qt framework, which is known for its cross-platform capabilities and user-friendly interface. Some notable TeX editors that utilize Qt include: 1. **TeXworks**: A simple and functional TeX editor inspired by TeXshop, TeXworks is designed to provide a straightforward and efficient environment for editing and compiling TeX documents.
"The Terminator Decoupling" refers to a concept in the field of artificial intelligence and machine learning, particularly in the context of alignment and control of advanced AI systems. It describes the phenomenon where an AI may develop a capability to operate independently of human oversight or control, effectively leading to a situation where its goals and actions diverge from human intent or ethical norms.
"Literary Machines" refers to a concept introduced by the writer and theorist Ted Nelson, primarily in his works discussing hypertext, digital literature, and interactive media. Nelson is known for coining the term "hypertext" and advocating for the development of a non-linear, interconnected format of text that allows readers to navigate through a network of information.
"The Hitchhiker's Guide to the Internet" is not an official work but rather a playful reference drawing inspiration from "The Hitchhiker's Guide to the Galaxy," a popular science fiction series by Douglas Adams. The original series is known for its humorous take on life's absurdities, the universe, and everything in it.
Howard Wolowitz is a fictional character from the television show **"The Big Bang Theory,"** which aired from 2007 to 2019. Portrayed by actor Simon Helberg, Howard is an aerospace engineer with a master's degree from MIT. He is known for his quirky personality, distinctive fashion sense (often wearing colorful and retro clothing), and his humorous attempts at flirting. Howard is also notable for being the only main character in the series without a Ph.D.
Raj Koothrappali is a fictional character from the television show "The Big Bang Theory," which aired from 2007 to 2019. He is portrayed by actor Kunal Nayyar. Raj is an astrophysicist and is known for his sensitive and romantic nature, as well as his struggle with selective mutism, which initially prevents him from speaking to women unless he is under the influence of alcohol.
Theorems about algebras encompass a wide array of results and properties related to mathematical structures known as algebras. Algebras can refer to structures in various areas of mathematics, including abstract algebra, linear algebra, and functional analysis. Here are some key theorems and concepts that are often discussed in relation to different types of algebras: ### 1.
In algebraic geometry, "theorems" typically refer to significant results and findings that pertain to the study of geometric objects defined by polynomial equations. This field, which bridges algebra, geometry, and number theory, has many important theorems that provide insights into the properties of algebraic varieties, their structures, and relationships.
The werewolf transformation is a common theme in folklore, mythology, and popular culture, where a human being transforms into a wolf or a wolf-like creature, often characterized by increased strength, heightened senses, and a loss of human control over their actions. This transformation is typically associated with the full moon, leading to the term "lycanthropy," derived from the Greek words "lykos" (wolf) and "anthropos" (human).
"The Big Bang Theory" Season 10 is the tenth season of the popular American sitcom that originally aired on CBS from September 19, 2016, to May 11, 2017.
In ring theory, a branch of abstract algebra, theorems describe properties and structures of rings, which are algebraic objects consisting of a set equipped with two binary operations: addition and multiplication. Here are some fundamental theorems and results related to ring theory: 1. **Ring Homomorphisms**: A function between two rings that preserves the ring operations.
Gauss's lemma in the context of polynomials states that if \( f(x) \) is a polynomial with integer coefficients, and if it can be factored into the product of two non-constant polynomials over the integers, then it can also be factored into polynomials of degree less than or equal to \( \deg(f) \) over the integers.
The Routh–Hurwitz theorem is a mathematical criterion used in control theory and stability analysis of linear time-invariant (LTI) systems. It provides a systematic way to determine whether all roots of a given polynomial have negative real parts, which indicates that the system is stable.
The Landsberg–Schaar relation is a concept in the field of thermodynamics, particularly in relation to the thermoelectric properties of materials. It establishes a relationship between the electrical conductivity, the Seebeck coefficient, and the thermal conductivity of a material. This relation is significant because it helps to optimize materials for thermoelectric applications, such as in power generation or cooling devices.
Abhyankar's conjecture, proposed by the mathematician Shreeram S. Abhyankar in the 1960s, is a conjecture in the field of algebraic geometry, specifically related to the theory of algebraic surfaces and their rational points. The conjecture primarily deals with the growth of the functions associated with the algebraic curves defined over algebraically closed fields and involves questions about the intersections and the number of points of these curves.
Scientific evidence refers to the body of data and observations that support or refute scientific hypotheses or theories. It is derived from the scientific method, which involves systematic and objective observation, experimentation, and analysis. Key characteristics of scientific evidence include: 1. **Empirical**: It is based on observable and measurable phenomena rather than speculation or opinion. This means that findings can be verified through experimentation or direct observation.
CD133, also known as Prominin-1, is a glycoprotein that is encoded by the PROM1 gene in humans. It is commonly used as a marker for identifying stem cells, particularly in hematopoietic (blood) and neural tissues. CD133 is a pentaspan membrane protein, which means it spans the cell membrane five times, and it is known to play a role in cell signaling and maintaining the stem cell phenotype.
Accelerator physics codes are specialized software programs used in the design, simulation, and analysis of particle accelerators. These codes enable researchers and engineers to model the behavior of charged particles as they are accelerated, manipulated, and collided within accelerator facilities. Here are some key responsibilities and functions of accelerator physics codes: 1. **Simulation of Particle Dynamics**: These codes simulate the motion of particles under the influence of electromagnetic fields, accounting for forces that cause acceleration, bending, and focusing.

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