"Cheon, Jung Hee" appears to refer to a character from Korean popular culture, particularly from the TV drama "The World of the Married" (2020), which is one of the highest-rated dramas in South Korean television history. In the series, the character Cheon Jung Hee is prominent within the storyline centered on themes of infidelity, betrayal, and complex human relationships.
Laurie Brokenshire is not widely known or recognized in public sources as of my last knowledge update in October 2023. It’s possible that she may be a private individual or that her prominence may have arisen after that date.
Piet Hein (1905-1996) was a Dutch scientist, mathematician, and poet, best known for his contributions to various fields, including mathematics, physics, and design. He is particularly noted for his work in the area of geometry and for creating the "Superellipse," a geometric shape that generalizes the ellipse and has applications in design and architecture. Hein was also a prolific poet, often writing in a style that blends wit with deep philosophical insights.
Wilhelm Ahrens may refer to a historical figure, but there isn't enough widely known information about a person by that name in popular culture, contemporary news, or academic references. If you could provide more context—such as their field of work, period, or significance—I might be able to offer more specific information. It’s also possible that Ahrens could refer to a concept, a location, or an organization associated with that name. Please clarify!
Sudoku solvers are algorithms or programs designed to solve Sudoku puzzles, which are popular logic-based number placement games. A typical Sudoku puzzle consists of a 9x9 grid divided into nine 3x3 regions, with some of the cells pre-filled with numbers from 1 to 9. The goal is to fill in the empty cells in such a way that each row, column, and 3x3 region contains all the numbers from 1 to 9 without repeating any number.
Separation axioms are a set of conditions in topology that describe how distinct points and sets can be "separated" from each other using open sets. These axioms help to classify topological spaces based on their separation properties. The different separation axioms build upon each other, and they include: 1. **T0 (Kolmogorov)**: A space is T0 if for any two distinct points, there exists an open set containing one of the points but not the other.
In topology, the **closure** of a set refers to a fundamental concept related to the limit points and the boundary of that set within a given topological space. Specifically, the closure of a set \( A \) in a topological space \( (X, \tau) \) is the smallest closed set that contains \( A \).
In mathematics, specifically in the context of topology and set theory, the **derived set** of a given set refers to the set of all limit points (or accumulation points) of that set.
Esenin-Volpin's theorem is a result in the field of mathematics, specifically in the area of functional analysis and the theory of distributions. The theorem deals with the relationship between certain types of linear functionals and their representations through measures. The essence of Esenin-Volpin's theorem is that it provides conditions under which a linear functional acting on a space of test functions can be uniquely represented as an integral with respect to a measure.
In topology, a Fréchet–Urysohn space is a type of topological space that has a specific property concerning its convergent sequences. A topological space \( X \) is said to be a Fréchet–Urysohn space if, whenever a subset \( A \subseteq X \) is a limit point of a point \( x \in X \), there exists a sequence of points in \( A \) that converges to \( x \).
The term "local property" can refer to different concepts depending on the context in which it is used. Here are a few interpretations of "local property": 1. **Real Estate Context**: In real estate, local property may refer to real estate assets that are situated in a specific geographic area. This can involve considerations like property value, market trends, zoning laws, and community characteristics that pertain to that specific locality.
José Adem was a notable Mexican mathematician, recognized for his contributions to topology and functional analysis. Born on April 24, 1918, in Mexico City, he made significant advancements in the field of mathematics and played a crucial role in the development of mathematical research in Mexico. Adem is particularly known for the Adem relations in algebraic topology and for his work on the cohomology of various mathematical structures.
In mathematics, the term "net" can refer to several different concepts, depending on the context. Here are two of the most common interpretations: 1. **Net in Topology**: In topology, a net is a generalization of a sequence that allows the indexing of elements by a directed set. While a sequence is indexed by the natural numbers, a net can be indexed by any directed set, which gives it more flexibility.
In the field of topology, a pretopological space is a generalization of the concept of a topological space. While the standard definition of a topological space involves a set along with a topology (a collection of open sets that satisfy certain axioms), a pretopological space relaxes some of these requirements.
Hyperbolic Dehn surgery is a technique in the study of 3-manifolds, primarily in the field of low-dimensional topology. It involves a process of modifying a given three-dimensional manifold by removing a solid torus and gluing it back in a different way, thus altering the topology of the manifold.
A hyperbolic 3-manifold is a type of three-dimensional manifold that possesses a geometry modeled on hyperbolic space. Specifically, a hyperbolic 3-manifold is characterized by having a constant negative curvature, which means that its geometric properties are governed by hyperbolic geometry, rather than Euclidean or spherical geometries.
"Dogbone space" typically refers to a specific type of topological space or geometric structure featuring a shape resembling a dog bone. In a more formal mathematical context, the term may arise in discussions of topology, particularly in relation to shape theory, homotopy theory, or specific constructions in algebraic topology. The "dogbone" shape usually consists of a central narrowing region with two enlarged ends.
"Bing shrinking" refers to a phenomenon where Microsoft's Bing search engine experiences a decline in its market share or usage compared to its competitors, particularly Google. This can happen due to factors such as user preference, changes in search algorithms, or improvements in competitors' services. The term may also pertain to specific features or services within Bing being scaled back or removed.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





