Dexter electron transfer, often referred to in the context of quantum chemistry and solid-state physics, is a mechanism of electron transfer that involves quantum tunneling. This process typically occurs between two molecules that are in close proximity and involves the transfer of an electron from one molecular orbital to another, even when they are not directly in contact.
Spin–orbit interaction (or spin–orbit coupling) is a quantum mechanical phenomenon that arises from the interaction between a particle's intrinsic angular momentum (spin) and its orbital motion. In the context of electrons within atoms, it refers to the coupling between the electron's spin and its orbital angular momentum due to the electromagnetic effects that appear from the movement of the electron around the nucleus.
The Sapphic stanza is a poetic form derived from the works of the ancient Greek poet Sappho. It is characterized by its specific metrical structure, typically consisting of three lines of eleven syllables followed by a fourth line of five syllables, often referred to as a "Sapphic stanza" or "Sapphic verse." In Polish poetry, the Sapphic stanza has been adopted and adapted by various poets, allowing for artistic expression while maintaining the essence of the meter.
Here is a list of some notable star systems located approximately 20 to 25 light-years away from Earth: 1. **Gliese 581** - Located about 20.3 light-years away, this system has several exoplanets, including Gliese 581g, which is in the habitable zone. 2. **Gliese 667** - Approximately 22 light-years away, this system has multiple planets, including some in the habitable zone.
A triolet is a poetic form consisting of eight lines with a specific rhyme scheme (ABABAHAA) and a particular structure. The first, fourth, and seventh lines are identical, and the second and eighth lines are also a repetition. This creates a musical quality and emphasizes the refrains. The form originated in the Middle Ages and is often used to express themes of love or nature. Its repeated lines can evoke a sense of longing or urgency in the poem.
L183 refers to a specific variant of the human leukocyte antigen (HLA) system, particularly the HLA class I molecule. HLA molecules are critical components of the immune system, playing a vital role in the recognition of foreign antigens and the activation of immune responses. The designation "L183" may also pertain to a specific allele or subtype associated with a particular HLA gene.
The BBGKY hierarchy, named after Boris B. Bogoliubov, A. G. Beme, R. K. Grosse, and V. A. Kolesnikov, is a theoretical framework used in statistical mechanics and mathematical physics for describing the dynamics of a system of interacting particles. The hierarchy provides a set of coupled equations relating the correlation functions of different orders.
Mean-field theory (MFT) is a statistical physics and mathematical physics approach that simplifies complex many-body systems by averaging the effects of all individual particles or entities on one another. In this framework, instead of dealing with the complicated interactions of every particle in a system, the average effect of all particles is considered to define a "mean field" that influences each particle.
Microscopic reversibility is a principle in statistical mechanics and thermodynamics that states that the underlying microscopic processes of a system can occur in either direction, and the statistical behavior of the system remains invariant when those processes are reversed. This idea is rooted in the concept that at the molecular or atomic level, the laws of physics—particularly the laws of motion—are time-invariant, meaning they don't change if time is reversed.
The square lattice Ising model is a mathematical model used in statistical physics to understand phase transitions and critical phenomena, particularly in the study of ferromagnetism. It consists of a two-dimensional square grid (lattice) where each site (or node) of the lattice can exist in one of two possible states, typically represented as +1 (spin up) or -1 (spin down).
The Wolff algorithm is a Monte Carlo method used to simulate systems in statistical mechanics, particularly for studying phase transitions in lattice models such as the Ising model. It is an alternative to the Metropolis algorithm and is particularly useful for handling systems with long-range correlations, as it can efficiently update clusters of spins instead of individual spins.
Probabilistic models are mathematical frameworks used to represent and analyze uncertain systems or phenomena. Unlike deterministic models, which produce the same output given a specific input, probabilistic models incorporate randomness and allow for variability in outcomes. This is useful for capturing the inherent uncertainty in real-world situations. Key features of probabilistic models include: 1. **Random Variables**: These are variables whose values are determined by chance.
The Justice Research and Statistics Association (JRSA) is a national organization based in the United States that focuses on the use of research and statistical data to inform and improve the criminal justice system. Founded in 1975, the JRSA serves as a resource for criminal justice researchers, practitioners, and policymakers by facilitating the sharing of information and promoting the use of evidence-based practices.
The Chilean Journal of Statistics (Revista Chilena de Estadística) is a scientific journal that publishes research and articles in the field of statistics. The journal primarily focuses on issues relevant to statistical theory, methodologies, and applications, and it serves as a platform for researchers and practitioners to share their work with the broader statistical community. The publication typically includes original research articles, reviews, and possibly works related to statistical education and applications in various domains such as economics, social sciences, and environmental studies.
The Electronic Journal of Statistics (EJS) is a scholarly, peer-reviewed open-access journal that publishes articles on a wide range of topics within the field of statistics. The journal aims to disseminate high-quality research results and methodological developments in statistics and its applications. It may cover theoretical advancements, statistical methodology, computational techniques, and applied statistical analyses across various disciplines. EJS allows researchers to share their findings with the global statistical community without the barriers often associated with traditional publishing, such as subscription fees.
REVSTAT, short for "Revenue Statistics," is a publication produced by the Organisation for Economic Co-operation and Development (OECD). It provides comprehensive data on government revenue statistics for various countries, focusing on trends, comparisons, and analysis of tax policies and public finance across different jurisdictions. The publication often includes information on various types of taxes, including individual income tax, corporate tax, value-added tax (VAT), and social contributions, allowing for a detailed understanding of how different countries generate revenue.
A **steganographic file system** is a specialized type of file system that integrates steganography techniques for hiding information within the structure of the file system itself. Steganography is the practice of concealing messages or information within other non-secret data, making it difficult to detect that a hidden message exists.
Asymmetric induction is a concept in organic chemistry, particularly in the field of stereochemistry, that refers to methods that lead to the preferential formation of one enantiomer over another in a chemical reaction. This is especially important in the synthesis of chiral molecules, which are compounds that cannot be superimposed on their mirror images. In asymmetric induction, a chiral catalyst or chiral auxiliary is often used to influence the stereochemical outcome of the reaction.
Chiral analysis refers to the methods and techniques used to identify and separate chiral compounds, which are molecules that exist in two non-superimposable mirror-image forms, known as enantiomers. These enantiomers can have different physical and chemical properties as well as distinct biological activities, making chiral analysis particularly important in fields such as pharmaceuticals, agrochemicals, and food science.
Enantiomers are a type of stereoisomer that are non-superimposable mirror images of each other. These molecules have the same molecular formula and connectivity of atoms but differ in their three-dimensional arrangement. Enantiomers typically occur in chiral molecules, which possess a carbon atom bonded to four different substituents, leading to two distinct spatial configurations.

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 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.
  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