A hybrid functional is a type of exchange-correlation functional used in density functional theory (DFT) calculations to describe the electronic structure of many-body systems, particularly atoms, molecules, and solids. In DFT, the total energy of a system is expressed as a functional of the electron density, and the exchange-correlation functional is a key component that accounts for the complex interactions between electrons.
The Harris functional, often referred to in the context of mathematical analysis and calculus of variations, is associated with a certain type of energy integral. It was introduced by the mathematician C. A. Harris in the context of studying minimal surfaces and surface area functionals. In simple terms, the Harris functional represents a mathematical tool used for characterizing energy configurations, particularly for problems involving surfaces or interfaces in variational calculus.
Density Functional Theory (DFT) software refers to computational tools and programs used to perform quantum mechanical calculations based on DFT principles. DFT is a widely used method in physics, chemistry, and materials science for studying the electronic structure of many-body systems, particularly atoms, molecules, and the condensed phases of matter.
The Demidov Prize is a prestigious award in the field of science, primarily recognizing outstanding achievements in the fields of natural sciences and engineering. Established in 1884, the prize is named after the Demidov family, notable patrons of science and industry in Russia. The award is presented by the Russian Academy of Sciences and is typically given to researchers and scientists for their significant contributions to advancing knowledge and innovation.
Sydney Chapman (1888–1970) was a notable British mathematician and geophysicist, renowned for his work in the fields of mathematics, astrophysics, and atmospheric science. He made significant contributions to the understanding of atmospheric physics, especially in areas related to the Earth's ionosphere, gas dynamics, and the behavior of gases in the atmosphere.
Joseph Larmor (1857-1942) was an Irish physicist and mathematician known for his contributions to the field of theoretical physics. He is best known for his work on the Larmor formula, which describes the radiation emitted by a charged particle accelerating in a magnetic field. This formula has implications in various areas of physics, including electromagnetism and quantum mechanics.
E. W. Hobson refers to Edward William Hobson, a prominent British mathematician known for his contributions to various fields within mathematics, particularly in the areas of analysis and mathematical physics. He is often associated with the study of series, potential theory, and the theory of functions. Hobson's work includes important texts and research papers that have influenced both theoretical mathematics and its applications. If you're referring to a different context for "E.W. Hobson," please provide more details for clarification!
Alfred George Greenhill (1862–1944) was an English painter, known for his contributions to the genre of landscape painting. He was associated with the late Victorian and early 20th-century art movements in Britain. Greenhill's work often focused on the countryside and rural scenes, characterized by attention to light and atmosphere. He also painted various subjects including still lifes and portraits.
David Abrahams is a mathematician known for his contributions to various areas of mathematics, including topology and category theory. He is also notable for his work in the field of computer science, particularly in programming language design and the development of libraries and tools for software development. Abrahams has a background in both mathematics and computer science, and he is recognized for his research and publications in these fields.
The X17 particle is a proposed hypothetical particle that has garnered interest within the physics community, particularly in the context of dark matter and new physics beyond the Standard Model. The name "X17" comes from a potential particle that is theorized to have a mass of approximately 17 MeV/c² (mega-electronvolts per speed of light squared) and is suggested to interact weakly with ordinary matter, making it a candidate for dark matter.
A Weakly Interacting Massive Particle (WIMP) is a hypothetical elementary particle that is a candidate for dark matter, which makes up a significant fraction of the universe's mass-energy content. WIMPs are predicted to have mass and interact primarily through the weak nuclear force and gravity, but not through electromagnetic interactions, which means they do not emit, absorb, or reflect light, making them difficult to detect directly.
Warm dark matter (WDM) is a theoretical form of dark matter that falls in energy and mass characteristics between cold dark matter (CDM) and hot dark matter (HDM). The primary distinctions among these categories relate to the speed of the particles and their thermal properties during the early universe.
In particle physics, WISP stands for "Weakly Interacting Slim Particle." Wisps are hypothetical particles that are considered as candidates for dark matter. They are characterized by their weak interactions with standard model particles, making them difficult to detect directly. WISPs usually include particles like axions, hidden photons, or other similar entities that could constitute non-baryonic matter in the universe.
Vera Rubin was a renowned American astronomer known for her groundbreaking work in the field of astrophysics, particularly in the study of galaxy rotation curves. Born on July 23, 1928, she made significant contributions to our understanding of dark matter, a form of matter that does not emit light or energy and is not directly observable, yet is believed to make up a substantial portion of the total mass in the universe. Rubin's most notable work involved observing the rotational speeds of galaxies.
Strongly Interacting Massive Particles (SIMP) are a proposed type of elementary particle that arise in certain theories of particle physics, specifically in the context of dark matter. SIMPs are characterized by their large mass and strong interactions, similar to those of the particles that make up atomic nuclei (like protons and neutrons) which are governed by the strong nuclear force.
A sterile neutrino is a hypothetical type of neutrino that does not interact via the standard weak interactions like the three known types of neutrinos: electron neutrinos, muon neutrinos, and tau neutrinos. Instead, sterile neutrinos are proposed to interact only through gravity and possibly via mixing with active neutrinos, making them "sterile" because they do not participate in the weak force.
Self-interacting dark matter (SIDM) is a theoretical alternative to the more commonly discussed weakly interacting massive particles (WIMPs) as a candidate for dark matter. The key feature of SIDM is that the particles making up dark matter can interact with each other through a force other than gravity, which is not the case for most traditional dark matter models.

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