The London Mathematical Society (LMS) is a learned society based in the United Kingdom that promotes the study and teaching of mathematics. Founded in 1865, it is one of the oldest mathematical societies in the world. The LMS fosters mathematical research, organizes conferences and lectures, publishes mathematical journals, and provides resources and support for mathematicians at all stages of their careers.
The long scale and short scale are two systems for naming large numbers, particularly those above a million. The main difference between the two systems lies in how they denote the value of a billion and larger numbers. ### Short Scale In the short scale, each new term greater than a million is one thousand times the previous term.
Loop representation is a conceptual and mathematical framework used primarily in the context of quantum gauge theories and quantum gravity. It emerges from attempts to quantize these theories, especially when dealing with the complexities arising from gauge invariance and non-abelian gauge groups. Here’s an overview of its significance and structure: ### Overview of Loop Representation 1. **Gauge Theories**: Infield theories, gauge symmetries, and associated gauge groups play a vital role.
The Łoś–Tarski preservation theorem is a fundamental result in model theory, a branch of mathematical logic that deals with the relationship between formal languages and their interpretations, or models. The theorem specifically addresses the preservation of properties of structures (models) under certain mappings. In more detail: 1. **Setting**: The theorem considers a first-order logic and a class of structures (models) defined by certain properties.
Louiqa Raschid is a prominent computer scientist and a professor known for her work in the field of data science, big data, and databases. She has made significant contributions to areas such as data management, data mining, machine learning, and the integration of heterogeneous data sources. Her research often focuses on the challenges of handling large-scale data and developing efficient algorithms for data analysis.
Louis Pouzin is a French computer scientist and one of the pioneers in the development of networking technologies. He is best known for his contributions to packet-switching technology, which is fundamental to the functioning of the internet. In the early 1970s, he developed the CYCLADES network, one of the first packet-switched networks.
As of my last update in October 2023, the Loyola Greyhounds men's basketball program, based in Baltimore, Maryland, has had several notable statistical leaders in various categories such as points, rebounds, assists, steals, and blocks. However, specific current statistics, including updated records and rankings, can vary from season to season.
A Lucas–Carmichael number is a special type of composite number that generalizes the concept of Carmichael numbers. Specifically, a natural number \( n \) is referred to as a Lucas–Carmichael number if it satisfies the following conditions: 1. \( n \) is a composite number.
Ludwig Kort does not appear to be a widely recognized figure in public knowledge as of my last update in October 2023. It's possible that the name refers to a lesser-known individual, a fictional character, or perhaps a term from a specialized field.
The term "lurker" can refer to different concepts depending on the context: 1. **Online Communities**: In the context of online forums, social media, or chat rooms, a lurker is someone who observes discussions or content without actively participating. They may read posts, watch videos, or follow discussions without commenting or engaging with the community. 2. **Internet Culture**: Lurking can be considered a common behavior in many online spaces where people prefer to consume content rather than contribute.
Lyman-alpha blobs (LABs) are large, luminous regions of hydrogen gas that emit Lyman-alpha radiation, which is a specific wavelength of ultraviolet light produced when electrons in hydrogen atoms transition between energy levels. These blobs are typically found in the early universe and are often associated with star formation and active galactic nuclei (AGNs).
Lyman continuum photons are a specific type of ultraviolet (UV) photons that have energies high enough to ionize hydrogen atoms. This range of photon energies corresponds to wavelengths shorter than the Lyman series limit, which is approximately 91.2 nanometers (nm). More specifically, the Lyman continuum refers to the wavelength range below 91.
Management scientists are professionals who apply quantitative and analytical methods to solve complex problems in organizations and improve decision-making processes. They use techniques from operations research, statistics, and systems theory to analyze data and develop models that help managers make informed decisions. Some of the key responsibilities of management scientists include: 1. **Data Analysis**: Collecting and analyzing data to identify trends, patterns, and insights that can inform business strategies.
Manifold is a magazine that focuses on the intersection of design, culture, and technology. It aims to explore the complexities of modern life and the ways in which various disciplines intersect and influence each other. The publication often features a range of content, including essays, interviews, and artistic works, and it seeks to engage with contemporary issues through a thoughtful and critical lens.
Marco Janssen could refer to individuals in different contexts, such as in politics, sports, or other fields. However, without additional context, it’s difficult to specify which Marco Janssen you mean.
Bacterial initiation factor 2 (IF2) is a key protein involved in the initiation phase of translation in bacteria. It plays a crucial role in the assembly of the ribosome and the formation of the initiation complex necessary for protein synthesis. Here are some key points about IF2: 1. **Function**: IF2 facilitates the binding of the initiator tRNA (transfer RNA) to the ribosome.
Margaret Armstrong is a notable geostatistician known for her contributions to the field of geostatistics, which is a branch of statistics focused on spatial or spatiotemporal datasets. As a geostatistician, her work typically involves the analysis and interpretation of spatial data, often using techniques such as kriging and variography to make predictions or infer properties over geographical spaces.
Maria Domenica Di Benedetto could refer to an individual, but as of my last knowledge update in October 2023, there isn't a widely recognized public figure, author, scientist, or notable personality by that name. It's possible that she may not be a prominent figure in the media or literature, or it could be that she's becoming notable after my last update.
Marie Alfred Cornu (1821–1881) was a French physicist known primarily for his work in the field of optics and photometry. He made significant contributions to the understanding of light and its properties, including measuring optical phenomena. Cornu is perhaps best known for the development of the Cornu spiral, a graphical representation used in optics to visualize the propagation of light in a medium. His work laid foundational principles for later research in optical technology and measurement.
The Marine Unsaturated Model (MUM) is primarily associated with the study of unsaturated soil mechanics in marine or coastal environments. While there may not be a universally accepted definition of a "Marine Unsaturated Model," the concept typically involves the characterization of soil behavior under varying moisture conditions, particularly in coastal and marine settings where the soil may be subjected to both seawater and freshwater influences.

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!
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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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