In category theory, a **Kan extension** is a construction used to generalize the idea of extending functions or functors across categories. More specifically, Kan extensions can be thought of as a way to extend a functor defined on a small category to a functor defined on a larger category, while maintaining certain properties related to limits or colimits. There are two types of Kan extensions: **left Kan extensions** and **right Kan extensions**.
Kathryn Zurek is an American physicist known for her work in the field of theoretical physics, particularly in the areas of quantum gravity and black hole physics. She is associated with research in gravitational waves and other aspects of astrophysics. Beyond her research, she is also noted for her engagement in science communication and education.
Kempe's universality theorem is a significant result in the field of graph theory and automata theory, specifically concerning the properties of certain types of logical structures. The theorem states that every finite structure can be embedded in a sufficiently large and well-behaved universal structure. In more technical terms, let’s consider a vocabulary (a set of symbols that represent functions, relations, and constants).
The Ken Kennedy Award is presented annually to recognize an individual who has made significant contributions to the field of computing, particularly in the areas related to the use of computing to solve large-scale, complex problems. Named in honor of Ken Kennedy, a prominent computer scientist known for his work in high-performance computing and programming languages, the award aims to highlight the importance of leadership and innovation in the field.
Kenneth Allen is an American physicist known for his contributions to the field of physics, particularly in the areas of experimental condensed matter physics and materials science. While he may not be as widely recognized as some other physicists, his work typically involves research on various physical phenomena and materials at the microscopic level.
Name collision refers to a situation where two or more entities, such as domain names, application names, or variable names in programming, conflict because they use the same identifier. This can lead to ambiguity and confusion in systems that rely on precise naming conventions.
Konrad Talmont-Kamiński is a scholar known for his work in the fields of philosophy of language, logic, and the philosophy of mind. He is associated with discussions surrounding topics such as consciousness and the nature of meaning.
Kuo-Chen Chou is a prominent scientist known for his work in the fields of atmospheric sciences and environmental science. He has made significant contributions to our understanding of global climate change, air pollution, and related phenomena. Chou is particularly well-regarded for his research on the effects of aerosols on climate and weather systems. In addition to his research, Chou has been involved in various academic and professional organizations, contributing to the advancement of science through publications and collaborations.
Lamé's theorem, also known as Lamé's theorems, refers to properties related to the geometry of ellipses and the distances between points in the context of lattice points.
In biochemistry, a ligand is a molecule that binds to a specific site on a target protein, which is often a receptor or an enzyme, to form a complex. This interaction can lead to various biological responses and plays a crucial role in many biochemical processes. Ligands can be diverse in nature and can include small molecules, ions, or larger biomolecules such as peptides, proteins, or nucleic acids.
"Linguistic and Philosophical Investigations" is not a widely recognized title in mainstream philosophy or linguistics, but it may refer to a collection of essays, research studies, or discussions that explore the intersections of language and philosophy. In such works, scholars typically investigate issues such as: 1. **Language and Meaning**: Understanding how language conveys meaning, the relationship between words and what they represent, and how context influences interpretation.
Light's associativity test is a method used to determine whether a binary operation (such as addition or multiplication) is associative. An operation is considered associative if changing the grouping of operands does not change the result.
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





