EL++ is a description logic that extends the basic EL (a family of description logics) by adding additional features, particularly the ability to express more complex roles and constructs while still maintaining computational efficiency. EL is known for its efficient reasoning capabilities, which is why it is often used in applications like biomedical ontologies (for example, the Gene Ontology). EL++ builds on the strengths of EL by allowing for the use of general constructors, such as inverse roles and more expressive concept descriptions.
The term "Nixon diamond" does not specifically refer to a well-known concept, object, or item in popular culture, history, or science. It could potentially refer to a diamond associated with Richard Nixon, the 37th President of the United States, but there are no prominent diamonds famously linked to him.
Noneism is a philosophical position regarding the existence of non-existent objects. The term is often associated with the work of philosopher Richard Routley (also known as Sylvan), who developed the ideas in the 1970s. Noneism posits that although certain objects, such as fictional characters or mythical beings, do not exist in a tangible sense, we can still meaningfully talk about them and refer to them.
The El Farol Bar problem is a concept in game theory and complex systems that illustrates a scenario where individuals face a decision-making problem influenced by the actions of others. It was introduced by economist Brian Arthur in the context of studying adaptive behavior in economic environments. ### The Scenario: The setup involves a bar called El Farol, which can accommodate a limited number of patrons (say, 60 people) comfortably.
A chemical clock is a type of chemical reaction that produces a periodic change in concentration of reactants and/or products, often resulting in observable color changes or other effects over time. These reactions can be used to demonstrate principles of reaction kinetics, oscillating reactions, and the concept of dynamic equilibrium in a chemical system.
A chemical oscillator is a system in which the concentrations of reactants and products undergo periodic changes over time, leading to oscillatory behavior in chemical reactions. These oscillations can be observed in a variety of reactant combinations and conditions, often involving non-linear reaction kinetics that lead to complex dynamics.
"Live and let live" during World War I refers to an informal code of conduct among soldiers on the Western Front, particularly in the trenches. It described a temporary truce or an understanding where opposing soldiers would refrain from attacking one another under certain conditions. This practice emerged primarily in the context of the grueling and often static warfare of trench combat, where the harsh realities of war led to a certain level of camaraderie, even between enemies.
Non-cooperative game theory is a branch of game theory that deals with situations in which players make decisions independently, without the ability or willingness to collaborate or form binding agreements. In non-cooperative games, each player aims to maximize their own payoff or utility, often in competition with other players. The strategic interactions in these games can lead to various outcomes based on the preferences and choices of the individuals involved.
The Optional Prisoner's Dilemma is a variation of the classic Prisoner's Dilemma, a standard problem in game theory. In the traditional Prisoner's Dilemma, two players can either cooperate or defect, with the optimal strategy for both players being to defect, given that each player anticipates the other’s temptation to defect. The dilemma illustrates a situation where individual rationality leads to a worse collective outcome.
Randomized algorithms in the context of zero-sum games involve strategies where players use randomness in their decision-making process to optimize their expected outcomes against their opponents. A zero-sum game is a situation in game theory where one player's gain is exactly balanced by the losses of another player. In simpler terms, the total utility or payoff available to all players is constant; one player's profit comes at the expense of another's loss.
Sedimentation potential, often referred to as sedimentation potential or electrokinetic potential, is a phenomenon observed in colloidal dispersions, where the particles in a suspension can migrate in a liquid medium due to an applied electric field. This migration can be influenced by factors such as particle size, shape, charge, and the properties of the surrounding fluid.
A \( C_0 \)-semigroup (also known as a strongly continuous semigroup) is a mathematical object used in the context of functional analysis and the theory of linear operators. It is particularly relevant in the study of linear differential equations and partial differential equations, as well as in the analysis of dynamical systems. ### Definition Let \( X \) be a Banach space.
"Costa Rican physicists" refers to scientists from Costa Rica who specialize in the field of physics. Physics is a fundamental branch of science that studies matter, energy, and the interactions between them. Costa Rica has a growing community of physicists who are involved in various fields of research, including theoretical physics, experimental physics, and applied physics. In recent years, Costa Rica has made efforts to enhance its scientific education and research capabilities, which includes improving the training and development of physicists.
"Canadian physicists" refers to physicists who are from Canada or who have made significant contributions to the field of physics while working in Canada. The term encompasses a wide range of individuals who specialize in various areas of physics, including theoretical physics, experimental physics, condensed matter physics, astrophysics, and medical physics, among others. Canada has a strong tradition of excellence in scientific research and education, and many Canadian physicists are affiliated with prestigious universities and research institutions.
The Crooks fluctuation theorem is a fundamental result in statistical mechanics and nonequilibrium thermodynamics that relates the probability distributions of work done on a system during forward and reverse processes. It was formulated by physicist Gavin E. Crooks in the context of systems driven out of equilibrium.
Resonant interaction refers to a phenomenon where two or more systems or entities interact in such a way that they exchange energy at a specific frequency or set of frequencies. This interaction is characterized by a significant increase in amplitude or effect when the driving frequency matches the natural frequency of the system.
SETAR stands for Self-Exciting Threshold Autoregressive model. It's a type of time series model used for capturing nonlinear relationships in data. The primary characteristic of a SETAR model is that it allows the dynamics of the time series to change depending on whether the value of the series crosses a certain threshold. ### Key Features of SETAR Models: 1. **Threshold Mechanism**: The model is divided into different regimes (or states) based on a threshold variable.
Mexican physicists are scientists from Mexico who study or practice physics, contributing to the field through research, teaching, and application of physical principles. Mexico has a rich history of contributions to various areas of physics, and many Mexican physicists have gained international recognition for their work. Some notable Mexican physicists include: 1. **Manuel Sandoval Vallarta** - Known for his work in theoretical physics and contributions to particle physics.
A double whole note, also known as a breve, is a musical note that lasts for twice the duration of a whole note. In standard musical notation, it is represented by an oval note head with a stem (often with no tail or with a tail that goes up or down). In terms of beats, in common time (4/4), a double whole note is typically worth 8 beats. It is often used in compositions to indicate longer sustained pitches.
Fission product yield refers to the distribution and amounts of various isotopes produced when a heavy nucleus undergoes fission, typically in nuclear reactors or during the detonation of nuclear weapons. When a heavy nucleus, such as uranium-235 or plutonium-239, splits into smaller nuclei (the fission products), it releases a significant amount of energy as well as a variety of different isotopes.

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