Extended Mathematical Programming (EMP) is an advanced framework used in optimization that integrates various components of mathematical programming, allowing for the inclusion of additional elements beyond traditional linear or nonlinear programming. EMP typically extends upon classic mathematical programming models by introducing more complex relationships and data structures, making it suited for addressing real-world problems that require more flexibility and detail in their representation.
Extensional context is a term often used in the fields of logic, philosophy, and linguistics to refer to a context in which the meanings of terms are determined by the objects or entities they refer to, rather than their inherent properties or the way they are described. In extensional contexts, the focus is on the actual instances or real-world entities rather than on the properties, qualities, or relations associated with those entities. For example, consider the statement "All cats are mammals.
Extremal principles in non-equilibrium thermodynamics refer to certain fundamental postulates or criteria that dictate the behavior of physical systems away from equilibrium. These principles are extensions or analogs to more commonly known extremal principles in equilibrium thermodynamics, like the minimization of free energy. In non-equilibrium thermodynamics, the principles often relate to the maximization or minimization of certain quantities, such as entropy production, dissipation, or certain functionals related to thermodynamic potentials.
The term "Eye beam" can refer to several different concepts depending on the context. Here are a few possibilities: 1. **Video Games**: In gaming, particularly in titles related to superhero themes or character abilities, "eye beam" often refers to a power or attack where a character emits a powerful beam of energy from their eyes. This is commonly associated with characters like Cyclops from the X-Men.
The term "face diagonal" refers to the diagonal line that connects two opposite corners of a face (or a square side) of a three-dimensional geometric shape, such as a cube or a rectangular prism. In the context of a cube, each face is a square, and the face diagonal is the line segment that joins two opposite vertices (corners) of that square face. The length of the face diagonal can be calculated using the Pythagorean theorem.
Fagnano's problem is a classic problem in geometry that involves finding the smallest perimeter triangle that can be inscribed within a given triangle.
Fair item allocation refers to the process of distributing goods or resources among multiple agents or participants in a way that is considered fair according to certain criteria or principles. This concept is often discussed in fields like economics, game theory, and computational social choice. The notion of "fairness" can be interpreted in various ways depending on the context and the specific fairness criteria applied.
Faltings' product theorem is a significant result in the field of arithmetic geometry, particularly concerning the theory of abelian varieties. It is a part of Faltings' broader work on the arithmetic of abelian varieties and their relation to rational points and Galois representations. In essence, Faltings' product theorem deals with the structure of the product of abelian varieties over a number field.
The Faraday Society, founded in 1903, is a learned society in the United Kingdom dedicated to the advancement of chemical science, particularly in the fields of physical chemistry and electrochemistry. It was established in honor of Michael Faraday, a pioneering scientist known for his contributions to electromagnetism and electrochemistry. The society plays a significant role in fostering collaboration among scientists, providing a platform for the exchange of ideas, and promoting research in relevant fields.
As of my last knowledge update in October 2021, there is no widely recognized entity or concept known as "Farida Fassi." It is possible that it could refer to a person, a brand, or a term that has gained prominence after that date.
The Federal Statistics Committee, also known as the Federal Office of Statistics (BFS) in Switzerland, is the principal government agency responsible for collecting, analyzing, and disseminating statistical information in the country. It operates under the Federal Department of Home Affairs and plays a key role in providing reliable and relevant data to support public policy, scientific research, and various sectors of society. The BFS offers a broad range of statistical data, including demographics, economics, health, education, and labor market statistics.
Felix Boehm is a name that might refer to different individuals, depending on the context. The most notable one is Felix Boehm, a prominent German mathematician known for his work in the field of applied mathematics, particularly in the area of optimization and control theory.
Fergus Kerr is a Scottish philosopher known for his work in the fields of philosophy of mind, metaphysics, and philosophy of religion. He has contributed significantly to discussions around the nature of self, personal identity, and the relationship between mind and body. Additionally, he has engaged with the works of prominent philosophers and has written extensively, including texts that explore contemporary philosophical debates.
The Fermi Paradox is the apparent contradiction between the high probability of extraterrestrial life in the universe and the lack of evidence or contact with such civilizations. The paradox is named after physicist Enrico Fermi, who famously asked, "Where is everybody?" during a discussion about the possibility of intelligent life beyond Earth.
GNS Science, or GNS Science Limited, is a New Zealand-based research and consulting organization that specializes in geoscience and related disciplines. It operates as a Crown Research Institute, which means it is part of New Zealand's state-funded research ecosystem. GNS Science conducts research in various areas, including geology, geophysics, volcanology, and earthquake science.
The Gömböc is a three-dimensional, convex shape that has the unique property of being a self-righting object. This means that when it is tipped over, it will return to its stable equilibrium position without any external assistance. The Gömböc is characterized by having only one stable equilibrium point and one unstable equilibrium point, a feature that distinguishes it from other shapes.
Grain boundaries are imperfections or interfaces that occur between different crystallographic orientations of grains within a polycrystalline material. A grain is a single crystal within a larger aggregate, and when many such crystals (or grains) come together, their boundaries form the grain boundaries. Key characteristics and roles of grain boundaries include: 1. **Structure**: Grain boundaries can vary in structure and properties depending on the relative orientations of the adjacent grains.
Graphocentrism is a term used to describe an ideology or critical perspective that privileges written language and textual representation as the primary means of knowledge acquisition and communication. It often assumes that written forms of expression are superior to other modes of communication, such as oral traditions, visual arts, or other non-verbal forms.

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