A **Lindelöf space** is a concept from topology, a branch of mathematics that deals with the properties of space that are preserved under continuous transformations. Specifically, a topological space is termed **Lindelöf** if every open cover of the space has a countable subcover.
Lindenbaum–Tarski algebra is a structure in mathematical logic and model theory that arises from the study of formal systems, particularly those dealing with propositional or predicate logic. It is named after the mathematicians Adolf Lindenbaum and Alfred Tarski, who contributed significantly to the foundations of mathematical logic. In essence, a Lindenbaum–Tarski algebra is a specific type of Boolean algebra that is constructed from the collection of all consistent sets of formulas in a given formal system.
A linear equation over a ring is an expression of the form: \[ a_1 x_1 + a_2 x_2 + \ldots + a_n x_n = b \] where \(a_1, a_2, \ldots, a_n\) and \(b\) are elements of a ring \(R\), and \(x_1, x_2, \ldots, x_n\) are variables that take values in the ring
Linguistic relativity is a theory in linguistic anthropology and cognitive science, which suggests that the structure and vocabulary of a language influences its speakers' cognition, perception, and worldview. This idea is often associated with the Sapir-Whorf hypothesis, named after linguists Edward Sapir and Benjamin Lee Whorf. The hypothesis posits that speakers of different languages may think and perceive the world differently because of the linguistic categories and concepts available to them in their respective languages.
The term "list of artillery by name" typically refers to a compilation of various artillery pieces used throughout history, categorized by their names. Below is a selection of notable artillery pieces, including cannons, howitzers, and mortars, organized by categories: ### 1.
Books have been banned by various governments around the world for a range of reasons, often due to their content being deemed politically, socially, or morally unacceptable. Here’s a list of some notable books that have been banned or challenged in different countries: 1. **"1984" by George Orwell** - Banned in several countries for its political themes and critique of totalitarianism. 2. **"The Catcher in the Rye" by J.D.
Calculus is a broad field in mathematics that deals with change and motion. Here is a list of major topics typically covered in a calculus curriculum: ### 1. **Limits** - Definition of a limit - One-sided limits - Limits at infinity - Continuity - Properties of limits - Squeeze theorem ### 2.
As of my last update in October 2023, several women's college basketball coaches have achieved the milestone of 600 career wins. Here is a list of some notable coaches who have reached this milestone: 1. **Pat Summitt** - The legendary head coach of the University of Tennessee, she is one of the winningest coaches in NCAA history.
Credulity refers to a tendency to be too willing to believe or trust in something without sufficient evidence or skepticism. It describes an inclination to accept information, claims, or assertions easily, often leading to gullibility or naivety. In various contexts, such as psychology, philosophy, or everyday life, credulity can affect how individuals perceive and respond to information, making them more susceptible to deception or misinformation.
As of my last update in October 2023, there is no single standardized list of countries organized solely by their exports of aircraft and spacecraft. However, several countries are recognized as leading exporters in the aerospace sector, which includes both aircraft and spacecraft. Key players in this field often include: 1. **United States**: The largest exporter of both commercial and military aircraft, with major companies like Boeing, Lockheed Martin, and Northrop Grumman.
As of my last update, the following list highlights countries that are known to have notable thorium resources. Thorium is a radioactive metal considered for use in nuclear reactors and other applications due to its abundance and potential advantages over uranium. The countries with the largest thorium reserves typically include: 1. **India**: Home to one of the largest thorium reserves in the world, primarily in the form of thorium-bearing minerals like monazite.
The Fields Institute for Research in Mathematical Sciences, located in Toronto, Canada, is dedicated to the promotion and dissemination of mathematical research. It honors a select group of mathematicians as Fellows, who have made significant contributions to the field.
Fusion power technologies encompass a variety of methods and concepts aimed at harnessing nuclear fusion—the process that powers the sun and other stars—for practical energy production. Here’s a list of some key fusion power technologies and concepts: ### 1. **Magnetic Confinement Fusion (MCF)** - **Tokamak**: A doughnut-shaped device using magnetic fields to confine hot plasma. ITER (International Thermonuclear Experimental Reactor) is a prominent example.
The "List of Internet phenomena" typically refers to a collection of viral trends, memes, challenges, and cultural phenomena that have emerged and gained popularity on the internet. These phenomena can include everything from specific memes and viral videos to online challenges, social media trends, and influential movements.
The Mobile Armored Strike Kommand (M.A.S.K.) is a line of toys created by Kenner in the mid-1980s, and it also included an animated television series and a comic book series. The M.A.S.K. franchise featured vehicles that could transform into other forms, along with characters that operated them. Here's a list of notable M.A.S.K. toys and their associated characters: ### Main Characters and Their Vehicles 1.
Materials analysis encompasses a variety of techniques used to characterize the structure, composition, and properties of materials. Here’s a list of common materials analysis methods: ### 1. **Microscopy Techniques** - **Optical Microscopy**: Uses visible light to magnify samples. - **Scanning Electron Microscopy (SEM)**: Provides high-resolution images by scanning a sample with a focused beam of electrons.
Here’s a list of some notable model aircraft manufacturers, categorized by type: ### R/C (Radio Control) Aircraft Manufacturers 1. **Horizon Hobby** - Offers a wide range of R/C aircraft including Horizon and E-flite brands. 2. **Tower Hobbies** - Known for R/C planes, helicopters, and accessories. 3. **Multiplex** - German manufacturer of electric model aircraft. 4. **Dynam** - Produces a variety of R/C aircraft and accessories.

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