Kummer theory, named after the mathematician Ernst Eduard Kummer, is a branch of number theory that deals with the study of the behavior of prime numbers in relation to fields and their extensions, particularly focusing on certain types of algebraic numbers known as "Kummer extensions." Here are the key points related to Kummer theory: 1. **Kummer Extensions**: These are specific extensions of number fields obtained by adjoining roots of elements.
Lamb waves are a type of elastic wave that propagate in thin plates and are characterized by their ability to travel along the surface of a material while also having an inherent thickness vibration mode. They are named after the British mathematician W. G. Lamb, who first described them in 1917. Lamb waves can be divided into two main types: 1. **Symmetric Lamb Waves (S modes):** These waves retain a symmetric shape with respect to the plane of the plate.
Kuratowski embedding is a concept in topology associated with the work of the Polish mathematician Kazimierz Kuratowski. It refers to a method of embedding a given topological space into a Hilbert space (or sometimes into Euclidean space) in a way that preserves certain properties of the space. More specifically, the Kuratowski embedding theorem states that any metrizable topological space can be embedded into a complete metric space.
Labour CND, or Labour Campaign for Nuclear Disarmament, is a group within the UK Labour Party that advocates for nuclear disarmament. It seeks to promote policies and initiatives aimed at reducing and ultimately eliminating nuclear weapons, aligning with the broader goals of the Campaign for Nuclear Disarmament (CND), which is a separate but related organization founded in the 1950s.
The Landau-Placzek ratio is a term used in the field of scattering theory, particularly in the context of neutron scattering and other types of spectroscopy. It describes the relationship between the scattering cross-sections of different mechanisms involved in a scattering process. Specifically, the Landau-Placzek ratio is defined as the ratio of the coherent and incoherent contributions to the total scattering. In the context of neutron scattering, these contributions arise from the different ways neutrons interact with a sample.
The term "landscape of practice" refers to the various contexts, environments, and communities in which certain practices occur, especially in professional or educational settings. It encompasses the social, cultural, and organizational elements that influence how practices are developed, shared, and enacted. Here are some key components of the landscape of practice: 1. **Communities of Practice:** These are groups of people who share a concern or passion for something they do and learn how to do it better through regular interaction.
LASCNN stands for "Laplacian Attention-based Spatial CNN." It is a type of convolutional neural network (CNN) designed to incorporate attention mechanisms, particularly focusing on capturing spatial features within the data. LASCNN aims to enhance the model's ability to focus on important regions or features of the input data while processing it, using the principles of Laplacian-based methods alongside standard convolutional layers.
Laser safety refers to the measures and protocols put in place to prevent accidents and injuries related to the use of lasers. Due to the intense and focused light produced by lasers, they can pose significant hazards, including skin burns, eye damage, and fire risks. As such, proper safety standards and guidelines are essential for environments where lasers are used, such as laboratories, industry, healthcare, and educational settings.
The Las Huelgas Codex is a significant collection of medieval music manuscript originating from the 13th century, specifically associated with the Cistercian monastery of Las Huelgas, located near Burgos, Spain. This codex is notable for being one of the most important sources of early polyphonic music, particularly in the context of the liturgical practices of the Cistercian order.
Latin hypercube sampling (LHS) is a statistical method used to generate a sample of plausible combinations of parameters from a multidimensional distribution. It is particularly useful in the context of uncertainty analysis and simulation studies where one needs to efficiently sample from multiple input variables. ### Key Characteristics of Latin Hypercube Sampling: 1. **Stratified Sampling**: LHS divides each dimension (input variable) into equally sized intervals (strata) and ensures that each interval is sampled exactly once.
The lattice model in biophysics refers to a mathematical and computational framework used to study the structure and dynamics of biological systems by modeling them on discrete lattices or grids. These models simplify complex biological phenomena by representing molecules, cells, or other components as points or objects on a lattice, allowing researchers to apply statistical mechanics, Monte Carlo simulations, and other analytical techniques to understand their behavior.
Laura Pyrak-Nolte is a physicist known for her work in the field of geophysics, particularly in areas related to wave propagation in porous media and the study of acoustic and seismic waves. She is often involved in research that applies physics to understand natural systems, including seismic activity and the properties of geological materials.
The Law of Identity is a fundamental principle in classical logic and philosophy, often expressed succinctly as "A is A." This means that an object is identical to itself and that it possesses all the properties that define it. In other words, for any entity or proposition, it is identical to itself and distinct from any other entity or proposition. The Law of Identity can be formally stated as: - If something is true (or holds), then it is true (or holds).
"Leaf power" can refer to different concepts depending on the context in which it is used. Below are a few interpretations: 1. **Botanical Context**: In the field of botany, "leaf power" might refer to the ability of leaves to perform photosynthesis, which converts sunlight into chemical energy. This process is essential for plant growth and oxygen production.
Least Frequently Used (LFU) is a cache eviction algorithm that removes the least frequently accessed items when the cache reaches its capacity. The main idea behind LFU is to maintain a count of how many times each item in the cache has been accessed. When a new item needs to be added to the cache and it is full, the algorithm identifies the item with the lowest access count and evicts it.
Leeds Model Company is a business based in Leeds, England, that specializes in the manufacture and sale of model railway products and accessories. They are well-known among hobbyists for providing a variety of items, including locomotives, rolling stock, and layouts, catering to both beginners and experienced model railway enthusiasts. The company may also offer custom services and a selection of other model-related supplies.
"Legal Alpha" typically refers to the application of data analytics, artificial intelligence, and other advanced technologies to improve legal practices and outcomes. It can encompass various areas, including legal research, case management, contract analysis, and predictive analytics to forecast legal outcomes. In the context of law firms or legal departments, "Legal Alpha" aims to create efficiencies, reduce costs, and enhance the quality of legal services by leveraging technological innovations.
The Lehmer matrix, named after mathematician D. H. Lehmer, is a specific type of structured matrix that is commonly used in numerical analysis and linear algebra.
Leo Beranek is a prominent American acoustician and the co-founder of the consulting firm Bolt Beranek and Newman Inc. (BBN), which played a significant role in the development of audio and acoustics technology. Born on March 15, 1914, he has made substantial contributions to the understanding of acoustics in various environments, including concert halls, auditoriums, and recording studios.
Leonard Bosack is an American computer scientist and engineer, best known as one of the co-founders of Cisco Systems, a multinational technology company that specializes in networking hardware, software, and telecommunications equipment. Bosack and his wife, Sandy Lerner, started Cisco in 1984, initially to develop and sell routers, which are hardware devices that forward data packets between computer networks.
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





