In group theory, a **weakly normal subgroup** is a concept that generalizes the notion of a normal subgroup. A subgroup \( H \) of a group \( G \) is considered weakly normal if it is invariant under conjugation by elements of a "larger" set than just the group itself.
Arseny Mironov could refer to a person, but as of my last update in October 2023, there is no widely recognized individual by that name in global news, sports, entertainment, or any other notable field. It’s possible that he could be a private individual or someone increasing in prominence after my last update.
Borys Paton was a prominent Ukrainian scientist, engineer, and academic known for his significant contributions to the fields of welding and materials science. Born on November 27, 1918, and passing away on January 19, 2022, Paton served as the president of the National Academy of Sciences of Ukraine and led the Paton Electric Welding Institute in Kyiv, which is named in his honor.
Aleksandr Kaleri is a Russian former cosmonaut. He was born on January 24, 1956, in the city of Kresty, Russia. Kaleri flew on four spaceflights, participating in various missions to the Russian space station Mir and the International Space Station (ISS). Throughout his career, he has accumulated significant experience in space exploration, conducting experiments and contributing to scientific research in microgravity environments.
Nikolay Devyatkov is not a widely recognized name in popular culture, literature, or historical contexts based on my last update in October 2021. It's possible that he is a private individual, a professional not well-known outside specific circles, or that he has gained prominence after my last update.
Hypergravity refers to a condition in which the gravitational force experienced by an object or organism is greater than the standard gravitational force at Earth's surface, which is approximately 9.81 m/s². This increased gravitational force can occur in various contexts, such as in centrifuges, during certain types of physical training, or in specific space missions where artificial gravity is created.
Gennady Simeonovich Osipov is a name that may refer to various individuals, but without more context, it is difficult to determine a specific person who is most notable. If you have a particular context in mind—such as a field (like literature, science, sports, etc.
Rashid Sunyaev is a prominent astrophysicist known for his significant contributions to cosmology and astrophysics. Born on March 1, 1943, in Russia, he is best known for his work on the Sunyaev-Zel'dovich effect, which describes the distortion of the cosmic microwave background radiation caused by the passage of the radiation through hot gas, typically found in galaxy clusters.
Viktor Makeyev, whose full name is Viktor Alexanderovich Makeyev, is a notable figure in the field of science, particularly in the realms of mathematics and computer science. He is known for contributions that may involve various theoretical aspects or applications of these domains. However, it is important to verify specific information about his achievements or works, as there might be multiple individuals with similar names or varying levels of recognition in different fields.
The fourth, fifth, and sixth derivatives of position with respect to time are related to different physical quantities in motion. Here's a breakdown of each: 1. **Position**: Denoted as \( s(t) \) or \( x(t) \) — this describes the location of an object at a given time \( t \).
Peak Ground Acceleration (PGA) is a measure of the maximum acceleration felt by the ground during an earthquake. It is expressed in units of gravitational acceleration (g), where 1 g is equal to the acceleration due to Earth's gravity, approximately 9.81 meters per second squared (m/s²). PGA is an important parameter in seismic engineering and earthquake studies, as it provides valuable information about the potential intensity of ground shaking at a particular location.
As of my last update in October 2023, Standard Life Aberdeen rebranded itself to abrdn in 2021. The company operates as a global investment company and manages a diverse range of assets. For the most up-to-date list of managers and key personnel associated with abrdn, I recommend visiting their official website or checking their latest corporate reports. Leadership structures can change frequently, and the most reliable information will come directly from the company or through news updates related to corporate governance.
A "biproduct" typically refers to a secondary product that is produced during the manufacturing or processing of a primary product. This term is often used in various industries, such as agriculture, food processing, and manufacturing, to describe materials or substances that are not the main focus of production but can still have value or utility. For example, in the production of cheese, whey is a biproduct that can be used in various food products or as animal feed.
MBTA accessibility refers to the measures and features implemented by the Massachusetts Bay Transportation Authority (MBTA) to ensure that its services and facilities are usable by individuals with disabilities. This includes improvements and adaptations to transport modes such as buses, trains, and ferries, as well as access to stations and terminals. Key aspects of MBTA accessibility include: 1. **Wheelchair Access**: Many buses and trains are equipped with features that accommodate wheelchair users, including ramps, lifts, and designated seating areas.
The aerospace industry in Australia encompasses a wide range of activities related to the design, manufacturing, maintenance, and operation of aircraft, spacecraft, and their associated systems and components. This industry includes both civil and military sectors, with various subsectors that focus on different aspects of aerospace technology and services. ### Key Components of the Aerospace Industry in Australia: 1. **Manufacturing:** - **Aircraft Production:** Australia has several companies involved in the production of parts and systems for commercial and military aircraft.
Aerospace organizations refer to entities involved in the research, development, manufacturing, and servicing of aircraft, spacecraft, and related systems and equipment. These organizations can be governmental or private and span a wide range of activities, including: 1. **Aerospace Manufacturers**: Companies that design and produce aircraft (commercial, military, helicopters), spacecraft (satellites, space probes, crewed spacecraft), and various components such as engines, avionics, and materials.
Japanese acoustical engineers are professionals in Japan who specialize in the science and technology of sound. They focus on a variety of aspects related to sound, including its production, transmission, and perception. This field encompasses a wide range of applications, such as architectural acoustics, noise control, sound reinforcement systems, audio engineering, and environmental acoustics.
The Composers Desktop Project (CDP) is an initiative aimed at providing tools and resources for composers and musicians, particularly in the realm of music composition and digital music production. The project emphasizes the use of software and technology to assist composers in their creative processes. Key features of the Composers Desktop Project might include: 1. **Software Tools**: CDP often involves the development of various software tools that simplify and enhance the composition process, enabling composers to work more efficiently.
Mercer is a global consulting firm that specializes in human resources, health, retirement, and investment consulting. It is a wholly-owned subsidiary of Marsh & McLennan Companies, a significant player in the professional services sector. Founded in 1945, Mercer has grown to operate in over 40 countries and serves a diverse range of clients, including corporations, governments, NGOs, and other organizations.
The term "Difference Engine" primarily refers to a mechanical calculator designed to compute and print mathematical tables. The most notable version was conceived by the British mathematician and inventor Charles Babbage in the 1820s. Here are some key points about the Difference Engine: 1. **Purpose**: The Difference Engine was intended to automate the process of calculating polynomial functions, which could be used to produce reliable mathematical tables, such as logarithmic and trigonometric tables.

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