IEEE Antennas and Wireless Propagation Letters is a peer-reviewed scientific journal published by the Institute of Electrical and Electronics Engineers (IEEE). It focuses on research and developments in the field of antennas and wireless communication.
Physical Review Letters (PRL) is a prominent peer-reviewed scientific journal that publishes short, high-impact research articles in all areas of physics. Established in 1958, PRL is known for its fast publication process and its focus on groundbreaking and innovative research that has the potential to significantly impact the field of physics. The journal emphasizes the importance of rapid dissemination of new ideas and discoveries, making it a key publication for physicists and other scientists interested in the latest developments in physical science.
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.
The Helsinki Institute of Physics (HIP) is a research institute located in Helsinki, Finland. It is affiliated with the University of Helsinki and focuses on fundamental research in the field of physics. HIP serves as a center for collaboration among physicists and connects researchers working on various areas of physics, including particle physics, astroparticle physics, and related fields. The institute also plays a significant role in various international collaborations and experiments, including those conducted at large particle accelerator facilities such as CERN in Switzerland.
The Galileo Galilei Institute for Theoretical Physics (GGI) is a research institute located in Florence, Italy. It is dedicated to advanced studies in theoretical physics, particularly in fields like quantum gravity, particle physics, cosmology, and statistical mechanics. The institute is named after the renowned physicist Galileo Galilei, who is often referred to as the "father of modern science.
Hypoxia in fish refers to a condition where there is a deficiency of oxygen in the water, which can lead to stress, illness, or death in aquatic organisms. Normal oxygen levels in freshwater and saltwater environments typically range from about 5 to 14 mg/L, depending on various factors like temperature and salinity. When the oxygen levels drop below this range, it can cause hypoxic conditions.
The William I. Fine Theoretical Physics Institute (FTPI) is a research institute located at the University of Minnesota. It is known for its focus on theoretical physics, including areas such as particle physics, condensed matter physics, and cosmology. The institute was established to advance research and collaboration in theoretical physics and to foster the development of new ideas and methodologies in the field. FTPI supports both faculty and graduate students, promoting an environment conducive to academic growth and innovation.
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.
Non-neutral plasma refers to a type of plasma that has an imbalance in the number of positive ions and negative electrons, leading to a net electric charge. In contrast, a neutral plasma typically contains equal amounts of positive and negative charges, which results in a net charge of zero. In non-neutral plasmas, the excess of one type of charge can create electric fields and potential gradients that affect the dynamics and behavior of the plasma.
A polynomial sequence is a sequence of numbers or terms that can be defined by a polynomial function. Specifically, a sequence \( a_n \) is said to be a polynomial sequence if there exists a polynomial \( P(x) \) of degree \( d \) such that: \[ a_n = P(n) \] for all integers \( n \) where \( n \geq 0 \) (or sometimes for \( n \geq 1 \)).
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 \( R \).
The Tutte polynomial is a two-variable polynomial associated with a graph, which encodes various combinatorial properties of the graph. It is named after the mathematician W. T. Tutte, who introduced it in the 1950s.
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.
In logic, a second-order predicate is an extension of first-order logic that allows quantification not only over individual variables but also over predicates or sets of individuals. In first-order logic, you can have statements that quantify over objects in a domain (like "for every \(x\), \(P(x)\)").
The Borell–TIS (Truncation and Integration for Sums) inequality is a result in probability theory and the theory of Gaussian measures. It provides bounds on the tail probabilities of sums of independent random variables that have a certain structure, particularly in relation to Gaussian distributions. In simple terms, the Borell–TIS inequality helps to quantify how much the sum of independent random variables deviates from its expected value.
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.
A Schlegel diagram is a geometric representation of a polytope, which is a high-dimensional generalization of polygons and polyhedra. Specifically, it is a way to visualize a higher-dimensional object in lower dimensions, typically projecting a convex polytope into three-dimensional space. Essentially, a Schlegel diagram allows us to see the structure of a polytope by looking at a "shadow" of it, emphasizing its vertices and faces.

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