"Paganiniana" is a composition by the Italian composer and pianist Casella, inspired by the works of the virtuoso violinist and composer Niccolò Paganini. The piece is often described as a series of variations based on themes associated with Paganini's music, showcasing both technical virtuosity and an emotional depth.
Artificial chemistry is an interdisciplinary field that combines concepts from chemistry, biology, computer science, and complex systems to study and simulate the properties and behaviors of chemical systems. It often involves the creation of artificial or synthetic systems that can mimic or explore the principles of natural chemical processes. Key aspects of artificial chemistry include: 1. **Modeling Chemical Reactions**: Artificial chemistry often employs computational models to simulate chemical reactions and interactions.
The Arens square is a specific construction in the field of set theory and topology that is associated with certain properties of topological spaces, particularly in the context of analysis and functional analysis. It is named after the mathematician Richard Arens. More formally, the Arens square refers to a particular space denoted as \( \mathfrak{A} \), which is a specific type of product of spaces formed from the unit interval [0, 1].
The Hardy–Ramanujan Journal is a mathematical journal that focuses on topics related to number theory, mathematical analysis, and combinatorics, among other areas. It was established in honor of the famed Indian mathematician Srinivasa Ramanujan and the British mathematician G. H. Hardy, who was Ramanujan's mentor and collaborator. The journal serves as a platform for researchers to publish their findings and engage with the mathematical community.
Ionized-air glow, often referred to as "corona discharge" or simply "corona glow," occurs when air becomes ionized due to high electric fields. This phenomenon typically happens when there is a sharp point or edge in an electric field, which can enhance the field strength and lead to ionization of the surrounding air molecules. When air is ionized, it means that the electrons are stripped away from the air molecules, creating positively charged ions and free electrons.
The Illinois Journal of Mathematics is a peer-reviewed academic journal that publishes research articles in a variety of areas within mathematics. Founded in 1957, it is associated with the University of Illinois at Urbana-Champaign. The journal covers a broad spectrum of mathematical topics, including but not limited to pure and applied mathematics, and it is designed to foster communication among mathematicians. It is well-regarded in the mathematics community and often features work from established researchers as well as emerging scholars in the field.
The International Journal of Algebra and Computation is an academic journal that focuses on research and advancements in the fields of algebra and computation. It publishes original research articles, review papers, and surveys that explore various topics within algebra, which can include abstract algebra, linear algebra, algebraic structures, computational algebra, and related areas. The journal serves as a platform for researchers, mathematicians, and computer scientists to share their findings, innovations, and theoretical developments.
The International Journal of Geometric Methods in Modern Physics is a peer-reviewed academic journal that focuses on the applications of geometric methods in various areas of modern physics. The journal covers a range of topics that may include, but are not limited to, differential geometry, mathematical physics, quantum mechanics, general relativity, and field theory. The journal aims to provide a platform for researchers to publish their findings and to promote the exchange of ideas among scientists working at the intersection of geometry and physics.
The "List of unnumbered minor planets: 2003 U (380–429)" refers to a collection of minor planets (also known as asteroids) that were observed and designated with a temporary designation during the year 2003, specifically those that fall within a range corresponding to the numbers 380 to 429 in the larger catalog of minor planets.
In Greek mythology, Dia is often associated with the island of Dia, which is located near Crete. However, if you are referring to the moon, "Dia" might be a lesser-known name for a celestial body, or it could be mistaken for a specific moon of a planet.
S/2011 J 3 is a provisional designation for a moon of Jupiter. It was discovered in 2011 and is part of the group of small, irregular moons that orbit Jupiter. This moon was observed as part of a larger survey of Jovian moons and is classified in terms of its size, orbit, and other physical characteristics.
The "List of unnumbered minor planets: 2004 WX" refers to a catalog of minor planets (or asteroids) that were discovered in the year 2004 and fall under the specific name categories starting with the letters 'W' and 'X'. Minor planets are small celestial bodies that orbit the Sun, and they may include asteroids and other small bodies that don't fit the classification of comets or larger planets.
Fiction set on Jupiter's moons often explores themes related to space exploration, extraterrestrial life, and the potential for human colonization. Some well-known works and authors have taken creative liberties with these moons, particularly Europa, Ganymede, and Callisto, given their intriguing characteristics and the possibility of subsurface oceans.
Eurydome is one of the moons of Jupiter. It is categorized as a irregular satellite, which means it has an irregular shape and orbits at a considerable distance from its planet. Eurydome is part of the Himalia group, a collection of moons that share similar orbital characteristics. The moon was discovered in 1979 by a team of astronomers using data from the Voyager 1 spacecraft. It is relatively small and is believed to be composed primarily of ice and rock.
Hydra is one of the moons of Pluto. It was discovered in 2005 by a team of astronomers using the Hubble Space Telescope and is named after the serpentine water monster from Greek mythology. Hydra is one of the two known moons of Pluto, the other being Charon, which is significantly larger. Hydra is smaller than Charon and is thought to be composed primarily of water ice and possibly other volatile materials.
Angrboda is one of the moons of Saturn. It is classified as a irregular moon, which means it has an orbit that is not circular and is generally influenced by the gravitational pull of other celestial bodies. Angrboda is part of a group of moons known as the Inuit group, which are believed to share a common origin and similar characteristics.
Hyrrokkin is a moon of Saturn. It belongs to the larger group of irregular satellites that orbit the planet, which are characterized by their distant and inclined orbits. Hyrrokkin was discovered in 2000 and is named after a figure in Norse mythology, specifically a giantess associated with the myth of the death of the god Baldur. Hyrrokkin is relatively small, with an estimated diameter of about 5 kilometers (3.1 miles).
Ijiraq is a moon of the planet Saturn. It was discovered in 2000 and is part of a group of moons known as the Norse group, which are characterized by their irregular orbits. Ijiraq has an irregular shape and a relatively small size, measuring about 2 kilometers (1.2 miles) in diameter.
"Moonlet" typically refers to a small moon or a minor natural satellite that orbits a planet. The term is often used in the context of planetary science and astronomy to describe smaller celestial bodies that may accompany larger moons or planets. These moonlets can have varying sizes and characteristics, and they can form through different processes, such as the accumulation of debris or the capture of passing objects by a planet's gravity.

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