Dixon's identity is a mathematical identity that relates determinants of matrices in the context of combinatorics and the theory of alternating sums. It provides a way to express certain sums of products of binomial coefficients. The identity can be stated in several equivalent forms but is often presented in the context of determinants of matrices whose entries are binomial coefficients.
International Conference on Computational Intelligence Methods for Bioinformatics and Biostatistics by
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The International Conference on Computational Intelligence Methods for Bioinformatics and Biostatistics (CIBB) is an academic event that focuses on the intersection of computational intelligence, bioinformatics, and biostatistics. Such conferences typically aim to bring together researchers, practitioners, and students from various disciplines to discuss the latest advancements, methodologies, and applications of computational intelligence in the fields of biology and medicine.
Isaac Newton (1642–1727) was an English mathematician, physicist, astronomer, and author who is widely regarded as one of the most influential scientists of all time. He made significant contributions to various fields, including: 1. **Mathematics**: Newton is one of the founders of calculus, a branch of mathematics that deals with rates of change and the accumulation of quantities.
"Channels" can refer to several concepts depending on the context. Here are a few possibilities: 1. **Communication Channels**: In communication theory, channels are the mediums through which messages are transmitted. This can include verbal communication, digital platforms, email, social media, and more. 2. **Distribution Channels**: In business and marketing, channels refer to the pathways through which products or services reach consumers. This can include direct sales, retail outlets, online platforms, and wholesalers.
A coframe refers to a mathematical construct in differential geometry and is often used in the context of differentiable manifolds. Specifically, a coframe is a set of differential one-forms that provide a dual basis to a frame, which is a set of tangent vectors. Here's a more detailed breakdown: 1. **Frame**: Given a manifold, a frame at a point is essentially a set of linearly independent tangent vectors that span the tangent space at that point.
Baroclinity refers to a condition in fluid dynamics, particularly in the context of atmospheric and oceanic sciences, where surfaces of constant density (isopycnals) and surfaces of constant pressure (isobars) do not align. In simpler terms, it describes a scenario where the density of a fluid varies with temperature and/or salinity in such a way that the pressure gradient at a particular level does not point in the same direction as the density gradient.
A **compact semigroup** is a mathematical structure that arises in the field of functional analysis and dynamical systems. To understand what a compact semigroup is, it's important to break down the concepts involved: 1. **Semigroup**: A semigroup is a set equipped with an associative binary operation.
A tachyonic field is a theoretical concept in physics associated with the idea of tachyons, which are hypothetical particles that always move faster than the speed of light. The name "tachyon" comes from the Greek word "tachys," meaning "swift." In the context of field theory, a tachyonic field is a scalar field that possesses a mass squared that is negative.
The term "period domain" can refer to different concepts depending on the context. Here are two primary interpretations: 1. **Mathematics and Complex Analysis**: In complex analysis, the period domain refers to a certain subset of the complex space associated with abelian varieties or more generally, with algebraic varieties. It often relates to the study of periods of differential forms and can involve analyzing how certain structures or functions behave under transformations defined by these periods.
A ceiling rose, also known as a ceiling medallion or chandelier rose, is a decorative element that is typically mounted on the ceiling and serves as a visual focal point. It is often placed directly beneath a hanging light fixture, such as a chandelier, but can also be used for other types of lighting. Ceiling roses come in various designs, sizes, and materials, including plaster, plastic, and wood.
John Hellins does not appear to be a widely recognized figure or concept based on the information available up to October 2023.
The Witten index is a concept in theoretical physics, specifically in the contexts of supersymmetry and quantum field theory. It is named after the physicist Edward Witten, who introduced it in the context of supersymmetric quantum mechanics. The Witten index is defined as a particular counting of the number of ground states (or lowest energy states) of a supersymmetric quantum system.
Warazan, also known as "Warazan SBG" or "Warazan 40," is a card game that originated from stories about the mythical land of Warazan. The game combines strategy, tactics, and elements similar to other card games, focusing on mythical themes and storytelling. Players typically use decks of cards representing characters, events, and items from the Warazan lore.
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