Lee Jeonghee could refer to a number of individuals, but most notably, it is the name of a South Korean figure known for their contributions in fields such as art, literature, or entertainment. Without more specific information, it's difficult to pinpoint exactly which Lee Jeonghee you are referring to.
In group theory, a "pure subgroup" refers to a specific type of subgroup within an abelian group. Specifically, a subgroup \( H \) of an abelian group \( G \) is called a **pure subgroup** if it satisfies a certain property concerning integer multiples.
The Suanpan is a traditional Chinese abacus, an ancient calculating tool used for arithmetic operations such as addition, subtraction, multiplication, and division. It consists of a rectangular frame with rods that hold beads, which can be moved up and down to represent different values. Typically, a Suanpan has two decks of beads: the upper deck contains two beads per rod representing a value of five, while the lower deck has five beads per rod representing a value of one.
A **locally compact abelian group** is a type of mathematical structure that combines concepts from both topology and group theory. Here's a breakdown of what this term means: 1. **Group**: In mathematics, a group is a set equipped with a binary operation that satisfies four fundamental properties: closure, associativity, the existence of an identity element, and the existence of inverse elements.
The Brauer–Suzuki–Wall theorem is a result in group theory, specifically in the area of representation theory. The theorem deals with the characterization of certain types of groups, known as \( p \)-groups, and their representation over fields of characteristic \( p \).
Auslander algebra is a concept in representation theory and homological algebra, primarily associated with the study of finitely generated modules over rings. The topic is named after the mathematician Maurice Auslander, who made significant contributions to both representation theory and commutative algebra. At its core, the Auslander algebra of a module category is constructed from the derived category of finitely generated modules over a particular ring.
In algebraic topology, a Postnikov square is a geometric construction that provides an important method for studying topological spaces up to homotopy. Specifically, it is used to break down a space into simpler pieces that are easier to analyze in terms of their homotopy types.
A **stably finite ring** is a specific type of ring in the field of abstract algebra, particularly in the study of ring theory. A ring \( R \) is called stably finite if it satisfies a certain condition related to the presence of idempotents and the existence of nonzero dividers of zero.
Alexander Vasilyevich Belyakov is a Russian scientist notable for his contributions to the field of astronomy and astrophysics. However, detailed information about him may not be widely available in public databases.
Vladimir Belinski does not appear to be a widely recognized figure based on the information available until October 2023. It's possible that you might be referring to a less well-known individual, or the name may have associations in specific contexts such as literature, science, or a different area.
Yuri Ovchinnikov is a Russian biochemist known for his contributions to the field of molecular biology, particularly in the study of the structure and function of proteins and nucleic acids. He has been involved in research that explores the principles of protein synthesis and folding, as well as the mechanisms of enzyme action. Ovchinnikov's work has implications for understanding various biological processes and can contribute to advancements in areas such as biotechnology and medicine.
The accelerating expansion of the universe refers to the observation that the rate at which the universe is expanding is increasing over time. This discovery is one of the most significant findings in modern cosmology and has profound implications for our understanding of the universe. ### Key Points: 1. **Observed Expansion**: The universe has been expanding since the Big Bang, which occurred approximately 13.8 billion years ago.
Accessible New York City Subway stations refer to subway stations that are equipped with facilities and features that accommodate riders with disabilities, making it easier for them to navigate the transit system. The Metropolitan Transportation Authority (MTA) has made efforts to improve accessibility across the subway network by incorporating various elements, including: 1. **Elevators and Ramps**: Many accessible stations have elevators or ramps to help individuals with mobility impairments access the platform from street level.
As of my last knowledge update in October 2023, "NU-Tech" does not refer to a single, widely recognized entity or concept, and its meaning can vary based on context. It might refer to: 1. **A Company or Organization**: There might be businesses or startups named NU-Tech that focus on various sectors, such as technology, engineering, or innovative solutions.
The Accessibility of the Metropolitan Transportation Authority (MTA) refers to the initiatives and features implemented to ensure that public transportation services in the New York City area are accessible to all individuals, including those with disabilities. The MTA operates various modes of transport, including subways, buses, and commuter rail services, and has made significant efforts to enhance accessibility in compliance with the Americans with Disabilities Act (ADA) and other regulations.
The Toronto Transit Commission (TTC) is committed to making its services accessible to all individuals, including those with disabilities. TTC's accessibility initiatives focus on ensuring that their transit services are usable by everyone. Here are some key aspects of TTC's accessibility measures: 1. **Accessible Vehicles**: The TTC operates low-floor buses and streetcars that allow for easier boarding for people with mobility challenges. These vehicles often come equipped with features such as priority seating and audio-visual announcements.
Aerospace technologies encompass the various scientific and engineering disciplines involved in the design, development, and production of aircraft, spacecraft, and related systems and equipment. This field integrates a wide range of technologies and innovations to ensure the safe and efficient operation of vehicles operating both within the Earth's atmosphere and in outer space.
British acoustical engineers specialize in the science and technology of sound and vibration. They work on a variety of projects that may involve architectural acoustics, environmental noise, sound insulation, and audio engineering. Their expertise is applied in different areas, including: 1. **Building Acoustics**: Ensuring that spaces such as concert halls, theaters, classrooms, offices, and residential buildings are designed for optimal sound quality and minimal noise disturbance.
Scratch Live is a DJ software application developed by Serato that allows DJs to control and manipulate digital music files using vinyl records or CD players. It integrates with traditional turntables and CDJs, allowing DJs to use the physical turntables to control digital audio files on a computer. The software provides features such as pitch control, beat matching, looping, and other effects, all of which are synchronized with the digital tracks being played.
Towers Perrin is a professional services firm that primarily specialized in actuarial consulting, investment consulting, and risk management services. Founded in 1934, the firm was well-known for its expertise in employee benefits, insurance, and human resources consulting. In 2010, Towers Perrin merged with another consulting firm, Watson Wyatt, to form Towers Watson. This new entity expanded its range of services and strengthened its position in the consulting market.

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