In topology, an **A-paracompact space** is a generalization of the notion of paracompactness that is defined in terms of certain open covers. A topological space \( X \) is said to be **A-paracompact** if every open cover of \( X \) has a locally finite open refinement, where a refinement of an open cover is another cover that consists of subsets of the original open sets.
American applied mathematicians are mathematicians in the United States who specialize in applied mathematics, which involves the application of mathematical methods and theories to solve practical problems in various fields such as science, engineering, business, and industry. Applied mathematics can cover a wide range of topics, including but not limited to numerical analysis, optimization, mathematical modeling, statistics, computational mathematics, and operations research.
The term "American astronomer stubs" likely refers to short or incomplete articles on American astronomers found on platforms like Wikipedia. In the context of Wikipedia, a "stub" is an article that is considered too short to provide a comprehensive overview of its subject. These stubs typically need to be expanded with more information, such as the astronomers' contributions to the field, notable discoveries, biographies, and other relevant details.
American burlesque is a form of theatrical entertainment that originated in the United States in the late 19th and early 20th centuries. It combines elements of satire, comedy, dance, and often striptease. Unlike its European counterpart, which focused more on parody and satire of serious works, American burlesque quickly evolved to include a broader range of entertainment styles, including variety acts, musical numbers, and sexually suggestive performances.
The American Invitational Mathematics Examination (AIME) is a mathematical examination designed for high school students in the United States. It is a part of the selection process for the prestigious USA Mathematical Olympiad (USAMO), which is aimed at identifying and encouraging outstanding young mathematicians. The AIME is typically administered after the American Mathematics Contest 10 (AMC 10) and the American Mathematics Contest 12 (AMC 12).
American logicians refer to philosophers and scholars in the United States who focus on the study of logic, a branch of philosophy and mathematics that deals with the principles of valid reasoning and inference. The history of American logic is rich and varied, with key figures contributing to different areas of the field.
Curta by Wikipedia Bot 0
The Curta is a small, portable mechanical calculator that was invented by the Austrian engineer Victor G. Sch alleger in the 1930s. It is notable for its compact design and efficiency, resembling a pepper grinder in appearance. The Curta can perform basic arithmetic operations such as addition, subtraction, multiplication, and division. The device works using a system of gears and rotary mechanisms, allowing calculations to be made quickly and inexpensively.
Fouling by Wikipedia Bot 0
Fouling refers to the accumulation of unwanted materials on solid surfaces, often in environments where such surfaces are in contact with fluids. This phenomenon can occur in various contexts, including: 1. **Marine Fouling**: In marine environments, fouling often refers to the growth of organisms like barnacles, algae, and mollusks on ships, docks, and other submerged structures. This type of fouling can lead to increased drag on vessels, reduced performance, and higher fuel consumption.
Matrix operation by Ciro Santilli 37 Updated +Created
The \((2,3,7)\) triangle group, denoted as \(\Delta(2,3,7)\), is a type of discrete group that arises in the study of hyperbolic geometry and can be constructed as a group of isometries of hyperbolic space.
Cubic metre by Wikipedia Bot 0
A cubic meter (abbreviated as m³) is a unit of volume in the International System of Units (SI). It is defined as the volume of a cube with each side measuring one meter in length. The cubic meter is commonly used to measure the volume of three-dimensional objects and is a standard unit in various fields, including construction, engineering, and science.

Pinned article: ourbigbook/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