Vladimir Arkadiev is a prominent Russian mathematician known for his contributions to various fields, including mathematical logic and set theory. However, without more specific context, it's difficult to provide detailed information about him, as there may be multiple individuals with that name.
Turkish geophysicists are scientists who specialize in geophysics within Turkey. Geophysics is the study of the Earth’s physical properties and processes, employing principles from physics, mathematics, and geology to understand phenomena such as earthquakes, magnetic fields, gravity, and seismic waves. In Turkey, a country situated in a seismically active region, geophysicists play a crucial role in researching tectonic activity, monitoring earthquakes, and assessing natural hazards.
"The Registry" can refer to different concepts depending on the context. Here are a few common meanings: 1. **Database or Record Keeping**: In general terms, a registry refers to an official list or database that records information about specific items or entities. For instance, a birth registry records births in a particular jurisdiction, while a vehicle registry maintains records of vehicles and their ownership.
Faxlore refers to the collection of humorous and often absurd stories that circulate via fax machines. These tales can include jokes, urban legends, and various forms of misinformation that are typically shared within organizations, between friends, or among family members. The term "faxlore" combines "fax" with "folklore," highlighting how these stories mimic traditional folklore by being passed along and adapted by various people over time.
Google bombing is a technique used to manipulate search engine results in order to make a particular website or page appear higher in search rankings for specific keywords or phrases, usually through the strategic use of backlinks and anchor text. This often involves a group of people linking to a particular site using the same phrase, in an effort to associate that phrase with the website in Google's algorithms. One of the most famous examples of Google bombing occurred in the mid-2000s when users linked to the George W.
In geometry, congruence refers to a relationship between two geometric figures in which they have the same shape and size. When two figures are congruent, one can be transformed into the other through a series of rigid motions, such as translations (shifts), rotations, and reflections, without any alteration in size or shape. Congruent figures can include various geometric objects, such as triangles, squares, circles, and polygons.
In geometry, particularly in the study of figures in a plane or in space, the **homothetic center** refers to the point from which two or more geometric shapes are related through homothety (also known as a dilation). Homothety is a transformation that scales a figure by a certain factor from a fixed point, which is the homothetic center.
Twisted K-theory is an extension of the classical K-theory, which is a branch of algebraic topology dealing with vector bundles over topological spaces. K-theory, in its classical sense, captures information about vector bundles via groups known as K-groups, denoted \( K^0(X) \) and \( K^1(X) \), where \( X \) is a topological space.
In mathematics, particularly in the field of representation theory and algebra, a **Schur functor** is an important concept that arises in the context of polynomial functors. Schur functors are used to construct representations of symmetric groups and to study tensors, modules, and various other algebraic structures.
Supersingular primes are an important concept in the context of moonshine theory, which is a branch of number theory that connects two seemingly disparate areas: modular forms and finite group theory. More specifically, moonshine theory is famous for exploring the relationship between certain mathematical structures—the Monster group, the largest of the so-called sporadic simple groups, and modular functions.
A harmonious set is a concept that can refer to different things depending on the context in which it is used. Generally, it relates to a collection of elements that work well together or create a pleasing combination. Here are a few interpretations based on different fields: 1. **Mathematics/Logic**: In mathematical contexts, a harmonious set may refer to a set of numbers or elements that exhibit a certain balance or relationship, possibly in terms of averages or ratios.
In abstract algebra, specifically in the study of rings, a **nilpotent ideal** is an ideal such that there exists some positive integer \( n \) for which the \( n \)-th power of the ideal is equal to the zero ideal.
AlphaGo is an artificial intelligence program developed by DeepMind, a subsidiary of Alphabet Inc. It was designed to play the board game Go, which is known for its complexity and the vast number of possible positions. AlphaGo employs advanced machine learning techniques, including deep neural networks and reinforcement learning, to analyze and evaluate board positions and make strategic decisions. Lee Sedol is a highly skilled South Korean Go player who is widely regarded as one of the best in the history of the game.
Pinball game designers are professionals who create and design pinball machines, which are mechanical games that combine elements of skill, chance, and entertainment. The design process involves a variety of skills and areas of expertise, including: 1. **Game Mechanics**: Designers develop the rules and gameplay mechanics, determining how the ball interacts with the machine, the scoring systems, and how players progress through the game's objectives.
The term "slope number" can have different meanings depending on the context in which it is used, but it is not a standard term commonly found in mathematical literature.
The Caristi fixed-point theorem is a result in the field of metric spaces and fixed-point theory. It provides conditions under which a mapping has a fixed point under certain circumstances.
The Lévy metric is a way of measuring the distance between two probability measures, particularly in the context of probability theory and stochastic processes. It is particularly useful when dealing with Lévy processes, which are a broad class of processes that include Brownian motion and Poisson processes. The Lévy metric is defined in terms of the characteristic functions of the probability measures.
David Enskog is a notable figure in the field of physics, particularly known for his contributions to statistical mechanics and kinetic theory. He was a Swedish physicist who lived from 1884 to 1947. Enskog is best recognized for developing the Enskog equation, which extends the Boltzmann equation to include dense gas interactions. This work has significant implications for understanding the behavior of gases under various conditions, especially in non-ideal or dense states.
Walter Kistler is not a widely recognized figure. However, based on context, you may be referring to Walter Kistler, the Swiss entrepreneur known for founding the Kistler Group, a company specializing in measurement technology, particularly in pressure, acceleration, and force measurements.
Debra Elmegreen is an American astronomer known for her research in the field of galaxy formation and evolution, particularly focusing on issues like star formation and the dynamics of galaxies. She has contributed to the understanding of how galaxies interact, develop, and evolve over cosmic time. Elmegreen is also affiliated with academic institutions, serving in roles such as a professor or researcher, and she may have held positions in professional organizations related to astronomy.

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 5. . 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.
  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