The designation "2004 S" refers to an unnumbered minor planet that was discovered in 2004. Minor planets, also known as asteroids, are celestial objects in orbit around the Sun that are not classified as comets or planets. The designation typically follows a specific naming convention, where the year of discovery is followed by a letter (and sometimes additional letters or numbers as more bodies are discovered that year).
The list of unnumbered trans-Neptunian objects (TNOs) from 2013 refers to a compilation of trans-Neptunian objects discovered during that year that had not yet been assigned an official number by the International Astronomical Union (IAU). TNOs are celestial bodies located in the region of the Solar System beyond the orbit of Neptune, and they can include a variety of objects, such as dwarf planets, asteroids, and comets.
Littlewood's three principles of real analysis, proposed by mathematician J.E. Littlewood, are informal but powerful heuristics that can guide the understanding and analysis of real functions and sequences. Though they are not formal theorems, they serve as useful guidelines for approaching problems in real analysis.
Local analysis is a term that can refer to a variety of analyses depending on the context in which it is used. Generally, it involves examining a specific subset of data or a particular area with a focus on detailed, localized insights. Here are a few contexts where local analysis might apply: 1. **Statistical Analysis**: In statistics, local analysis can refer to examining data within a limited geographic area or a specific subgroup rather than looking at data trends on a larger, more generalized scale.
In the context of mathematics, particularly in number theory and algebra, **local fields** are a class of fields that are used to study number systems with a focus on their local properties. Local fields have a topology that is defined by a valuation, which provides a notion of 'size' or 'distance' in the field.
In commutative algebra, localization is a process that allows us to focus on particular aspects of a ring by "inverting" certain elements. It provides a way to create new rings from a given ring by considering a subset of its elements to be invertible.
"Logic Made Easy" is a book written by the philosopher and logician, Deborah J. Bennett. It serves as an introductory text on formal logic, aiming to make the subject accessible to a wider audience. The book covers various aspects of logic, including syllogisms, propositions, and logical reasoning, using clear explanations and examples. Bennett's approach emphasizes practical applications of logic in everyday life and decision-making, as well as its importance in critical thinking.
Alison Marsden is a notable figure in the field of biomedical engineering, particularly recognized for her work in computational modeling of cardiovascular systems. She is known for her contributions to understanding heart and vascular mechanics through simulations and modeling techniques. Marsden's research often focuses on improving the understanding of cardiovascular diseases and enhancing medical devices related to heart health.
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.
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).
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





