The Knaster-Tarski theorem is a fundamental result in the field of fixed-point theory, particularly in the context of partially ordered sets (posets).
Kneser's theorem is a result in the theory of differential equations, particularly in the context of linear differential equations with variable coefficients. It addresses the behavior of solutions for higher-order linear ordinary differential equations.
The Knower Paradox is a philosophical problem related to self-reference and knowledge, particularly in the context of epistemology and the philosophy of language. It illustrates difficulties in discussing knowledge and the nature of what it means to "know" something. The paradox can be framed as follows: 1. Consider a proposition "I know that p," where "p" is some statement.
Knowledge by acquaintance is a philosophical concept that refers to a type of knowledge gained through direct experience or interaction with an object, person, or event. This concept is often contrasted with "knowledge by description," which is knowledge that one possesses about something based on indirect means, such as through descriptions, reports, or second-hand information.
Knowledge management (KM) refers to the systematic process of capturing, distributing, and effectively using knowledge within an organization. It encompasses strategies and practices aimed at identifying, creating, sharing, and leveraging knowledge to enhance organizational performance and foster innovation. Key components of knowledge management include: 1. **Knowledge Creation**: Developing new insights, innovations, and solutions through research, collaboration, and experimentation.
Konstanty Jodko-Narkiewicz was a Polish mathematician known for his contributions to various fields of mathematics, particularly in functional analysis and geometry. He is also noted for his involvement in mathematical education and his role in promoting mathematics in Poland.
Korean astronomers refer to scientists and researchers from South Korea or North Korea who study astronomy, the science that deals with celestial objects, space, and the universe as a whole. South Korea, in particular, has developed a strong presence in astronomical research and education over the years. In South Korea, institutions such as the Korea Astronomy and Space Science Institute (KASI) and various universities contribute to astronomical research.
The Korean Mathematical Society (KMS) is an academic organization in South Korea dedicated to the advancement and development of mathematics. Founded in 1946, the society aims to promote mathematical research, education, and collaboration among mathematicians in Korea and internationally. It serves as a platform for the dissemination of mathematical knowledge through publications, conferences, and workshops. KMS also plays a crucial role in fostering communication among mathematicians, supporting young researchers, and enhancing the quality of mathematical education in Korea.
The Korn–Kreer–Lenssen (KKL) model is a theoretical framework that is used primarily in the study of condensed matter physics and materials science. Developed by physicists Korn, Kreer, and Lenssen, this model aims to describe and analyze phenomena related to phase transitions, critical phenomena, and other complex behaviors in materials.
The Kummer–Vandiver conjecture is a statement in number theory concerning the behavior of cyclotomic fields and the behavior of the class groups associated with certain algebraic number fields. More specifically, it deals with the properties of the class number of the field obtained by adjoining a primitive \( n \)-th root of unity to the rationals.
Change of basis is a concept in linear algebra that involves converting coordinates of vectors from one basis to another. In simpler terms, every vector in a vector space can be expressed in terms of different sets of basis vectors. When we change the basis, we are essentially changing the way we describe vectors in that space. A basis for a vector space is a set of linearly independent vectors that span the space.
Kurt Reidemeister was a German mathematician known for his contributions to knot theory and topology. He lived from 1882 to 1971. Reidemeister is particularly famous for introducing the Reidemeister moves, which are a set of three simple manipulations that can be performed on knot diagrams. These moves are fundamental in the study of equivalence of knots and links, as they provide a way to determine whether two knot diagrams represent the same knot.
Kwasha Lipton is a well-known marketing and consulting firm, primarily recognized for its work in the fields of business strategy, brand development, and marketing services. The firm focuses on providing strategic insights and solutions to help businesses enhance their brand presence and effectively engage consumers. Their expertise often encompasses areas such as market research, advertising, and digital marketing.
"La Boutique fantasque" (The Fantastical Shop) is a ballet choreographed by Léonide Massine, with music by Igor Stravinsky. It was originally created in 1919 as a choreography for a suite from Rossini’s operas, specifically adapted from a work known as "Il viaggio a Reims" and some overtures and other pieces by Rossini.
Laguerre polynomials are a sequence of orthogonal polynomials that arise in various areas of mathematics and physics, particularly in quantum mechanics and numerical analysis. They are named after the French mathematician Edmond Laguerre. There are two main types of Laguerre polynomials: the associated Laguerre polynomials and the simple Laguerre polynomials. ### 1.
The Lamb–Mössbauer factor, often denoted as \( f \), is a key concept in the field of condensed matter physics and spectroscopy, particularly in relation to Mössbauer spectroscopy. It describes the fraction of the total intensity of a Mössbauer spectrum that is related to atoms that are well-ordered and not experiencing significant vibrational displacement or thermal motion.
A lamellar structure refers to a layered arrangement of materials or phases that can be found in various contexts, including materials science, biology, and geology. The term "lamellar" is derived from "lamella," which means a thin layer or plate.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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