An overdetermined system refers to a system of equations in which there are more equations than unknowns. In linear algebra, this typically involves a set of linear equations that cannot all be satisfied simultaneously. Therefore, an overdetermined system may not have a solution, or if a solution exists, it may not be unique.
The International Journal of Modern Physics is a scholarly publication that focuses on various fields of modern physics, including but not limited to theoretical, experimental, and applied physics. It typically covers topics such as quantum mechanics, relativity, particle physics, condensed matter physics, astrophysics, and more. This journal is part of a larger family of journals published by World Scientific Publishing, which includes several other titles dedicated to different aspects of physics and related sciences.
The Hurwitz zeta function is a generalization of the Riemann zeta function and is defined for complex numbers. It is denoted as \(\zeta(s, a)\), where \(s\) and \(a\) are complex numbers, with \(a > 0\) and typically \(s\) being complex with a real part greater than 1.
The Romanian Journal of Physics is a scientific journal that publishes research articles in the field of physics. It aims to disseminate original research findings and reviews on various topics in physics, covering both theoretical and experimental aspects. The journal serves as a platform for scientists and researchers to share their work and contribute to the advancement of knowledge in the discipline. Typically, the journal includes contributions from a range of subfields, including but not limited to condensed matter physics, nuclear physics, astrophysics, and applied physics.
The Laboratory of Solid State Microstructure at Nanjing University is a research facility focused on the study of solid-state materials and their microstructural properties. It aims to explore the fundamental and applied aspects of materials science, particularly in relation to solid-state physics and engineering. Research areas in such laboratories typically include the investigation of electronic, magnetic, and optical properties of materials, development of new materials with desired properties, and the study of phase transitions and crystallography.
Two-stream instability is a phenomenon observed in plasma physics and astrophysics that occurs when two streams of charged particles (such as electrons or ions) move parallel to each other but with different velocities. This situation is common in various astrophysical and laboratory plasmas, where the behavior of charged particles is influenced by electromagnetic forces.
A gridded ion thruster is a type of electric propulsion system used primarily in spacecraft for propulsion and maneuvering in space. It works by using electric fields to accelerate ions, which are charged particles. The primary components of a gridded ion thruster include: 1. **Ionizer**: A gas (usually a noble gas such as xenon) is ionized by electron bombardment, creating positive ions and free electrons.
An **integer-valued polynomial** is a polynomial function that takes integer values for all integer inputs.
A **polynomial ring** is a mathematical structure formed from polynomials over a given coefficient ring or field. Formally, if \( R \) is a ring (or a field), then the polynomial ring \( R[x] \) consists of all polynomials in the variable \( x \) with coefficients in \( R \).
Monadic predicate calculus is a type of logical system that focuses on predicates involving only one variable (hence "monadic"). In mathematical logic, predicate calculus (or predicate logic) is an extension of propositional logic that allows for the use of quantifiers and predicates. In monadic predicate calculus, predicates are unary, meaning they take a single argument. For example, if \( P(x) \) is a predicate, it can express properties of individual elements in a domain.
Neso is a natural satellite of the planet Neptune. It was discovered in 1989 by astronomers at the University of Arizona using images taken by the Voyager 2 spacecraft during its flyby of Neptune. Neso is one of Neptune's outer moons and is notable for its irregular, elongated shape, as well as its relatively large distance from Neptune, which is over 48,000 kilometers (about 30,000 miles).
The term "point at infinity" can refer to different concepts depending on the context, particularly in mathematics and geometry. Here are a few interpretations: 1. **Projective Geometry**: In projective geometry, points at infinity are added to the standard Euclidean space to simplify certain aspects of geometric reasoning.
Domain name scams involve fraudulent activities aimed at misleading individuals or businesses regarding the purchase, renewal, or management of domain names. Here are some common types of domain name scams: 1. **Phishing Emails**: Scammers may send emails that appear to be from legitimate domain registrars, claiming that there is an issue with your domain name or that it needs to be renewed. These emails often contain links to fake websites designed to steal personal information.
A "scraper site" typically refers to a website that uses web scraping techniques to collect data from other websites. These sites often aggregate content from various sources and display it in a consolidated format. Here are a few key points about scraper sites: 1. **Data Collection**: Scraper sites employ automated programs, or "scrapers," that navigate through websites to extract specific information such as articles, product listings, images, or reviews.
Enrique Moles Ormella is a Spanish chemist known for his work in the field of chemistry, particularly in material science and nanotechnology. He has contributed to research involving various chemical processes and applications.
The inverse tangent integral typically refers to the integral defined by the function: \[ \int \frac{1}{1+x^2} \, dx = \tan^{-1}(x) + C \] where \( \tan^{-1}(x) \), also known as the arctangent function, is the inverse of the tangent function. The integral evaluates to the arctangent of \( x \), plus a constant of integration \( C \).
The Beta angle, often denoted as β, is a term used in various fields, including astronomy, planetary science, and robotics, among others. Here are a few contexts in which the term might be relevant: 1. **Astronomy**: In the context of celestial mechanics, the Beta angle can refer to the angle between the plane of an object's orbit and a reference plane, such as the equatorial plane of the body it is orbiting.
Tomaž Pisanski is a Slovene mathematician known for his work in graph theory, combinatorics, and related areas of mathematics. He has contributed to various fields within mathematics, including the study of graph embeddings, topological graph theory, and algebraic combinatorics. Pisanski has published numerous research papers and has been involved in mathematics education and outreach.
"Oceans" can refer to several different concepts depending on the context. Here are some common interpretations: 1. **Geographical Feature**: Oceans are vast bodies of saltwater that cover approximately 71% of the Earth's surface. There are five major oceans: the Pacific Ocean, Atlantic Ocean, Indian Ocean, Southern (or Antarctic) Ocean, and Arctic Ocean. They play a crucial role in regulating the planet's climate, supporting marine biodiversity, and facilitating global trade.
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