Idempotent analysis is a branch of mathematics and theoretical computer science that extends the concepts of traditional analysis using the framework of idempotent semirings. In idempotent mathematical structures, the operation of addition is replaced by a max operation (or another specific operation depending on the context), and the operation of multiplication remains similar to standard multiplication.
Naimark equivalence is a concept in functional analysis and operator theory that relates to the representation of certain kinds of operator algebras, specifically commutative C*-algebras. The concept is named after the mathematician M.A. Naimark.
In group theory, a **weakly normal subgroup** is a concept that generalizes the notion of a normal subgroup. A subgroup \( H \) of a group \( G \) is considered weakly normal if it is invariant under conjugation by elements of a "larger" set than just the group itself.
Gennady Simeonovich Osipov is a name that may refer to various individuals, but without more context, it is difficult to determine a specific person who is most notable. If you have a particular context in mind—such as a field (like literature, science, sports, etc.
Rashid Sunyaev is a prominent astrophysicist known for his significant contributions to cosmology and astrophysics. Born on March 1, 1943, in Russia, he is best known for his work on the Sunyaev-Zel'dovich effect, which describes the distortion of the cosmic microwave background radiation caused by the passage of the radiation through hot gas, typically found in galaxy clusters.
Viktor Makeyev, whose full name is Viktor Alexanderovich Makeyev, is a notable figure in the field of science, particularly in the realms of mathematics and computer science. He is known for contributions that may involve various theoretical aspects or applications of these domains. However, it is important to verify specific information about his achievements or works, as there might be multiple individuals with similar names or varying levels of recognition in different fields.
Peak Ground Acceleration (PGA) is a measure of the maximum acceleration felt by the ground during an earthquake. It is expressed in units of gravitational acceleration (g), where 1 g is equal to the acceleration due to Earth's gravity, approximately 9.81 meters per second squared (m/s²). PGA is an important parameter in seismic engineering and earthquake studies, as it provides valuable information about the potential intensity of ground shaking at a particular location.
Mercer is a global consulting firm that specializes in human resources, health, retirement, and investment consulting. It is a wholly-owned subsidiary of Marsh & McLennan Companies, a significant player in the professional services sector. Founded in 1945, Mercer has grown to operate in over 40 countries and serves a diverse range of clients, including corporations, governments, NGOs, and other organizations.
In category theory, an **additive category** is a type of category that has a structure allowing for the definition and manipulation of "additive" operations on its objects and morphisms. Here are the key characteristics that define an additive category: 1. **Abelian Groups as Hom-Sets:** For any two objects \( A \) and \( B \) in the category, the set of morphisms \( \text{Hom}(A, B) \) forms an abelian group.
Aerospace physiology is a specialized field of study that focuses on the effects of the aviation and space environments on the human body. It encompasses the physiological responses to various conditions encountered during flight and space travel, including changes in pressure, temperature, humidity, and exposure to cosmic radiation. Key areas of study in aerospace physiology include: 1. **Hypoxia**: Understanding how reduced oxygen levels at high altitudes affect cognitive and physical performance.
The French Enlightenment, also known as the Age of Enlightenment or the Age of Reason, was an intellectual and cultural movement that emerged in France during the late 17th and 18th centuries. It emphasized reason, individualism, and skepticism of traditional authority, particularly in relation to religion and monarchy.
Justus Henning Böhmer (1741–1804) was a noted German jurist and legal scholar. He is recognized for his contributions to the field of law, particularly within the context of the Enlightenment period in Germany. Böhmer's work often focused on civil law and the legal principles that were emerging during his time. One of his notable contributions is the "Commentarius de jure compendiario," which discusses various legal principles and reforms.
Le Sage's theory of gravitation, proposed by the French physicist Nicolas F. Berthold Le Sage in the 18th century, is an early attempt to explain gravity through a mechanical model rather than through a force acting at a distance, as suggested by Newton’s law of universal gravitation. Le Sage's theory posits that gravity arises from a bombardment of tiny, unseen particles, often referred to as "corpuscles," which travel in straight lines through space.
The Constitution of 3 May 1791 is a significant historical document in Poland, recognized as one of the first modern constitutions in Europe and the second in the world, following the United States Constitution. It was adopted by the Great Sejm of the Polish-Lithuanian Commonwealth on May 3, 1791.
The Bowood Circle is a term used in the context of British literature and culture, referring specifically to a literary and social group of artists, writers, and intellectuals associated with Bowood House in Wiltshire, England. Bowood House was the residence of the Lansdowne family, notably the 4th Earl of Lansdowne, and it became a gathering place for prominent figures in the 18th and 19th centuries.
Gabriel Gruber is a name that may refer to multiple individuals. Without more context, it’s difficult to pinpoint a specific person. However, one notable reference could be to Gabriel Gruber, a 19th-century Austrian civil engineer known for his work related to various engineering projects.
Jean-Jacques Rousseau (1712–1778) was a prominent philosopher, writer, and composer of the Enlightenment period in Europe. He is best known for his influential works on political philosophy, education, and morality, which laid the groundwork for modern political and social thought.
The Marquis de Condorcet, whose full name was Marie Jean Antoine Nicolas Caritat, was an 18th-century French philosopher, mathematician, and political scientist. He was born on September 17, 1743, and died on March 29, 1794. Condorcet is best known for his contributions to the fields of social and political theory, particularly his ideas surrounding democracy and voting.
"On Crimes and Punishments" (originally "Dei delitti e delle pene" in Italian) is a key philosophical and legal text written by the Italian Enlightenment thinker Cesare Beccaria, first published in 1764. Beccaria's work is considered one of the foundational texts of modern criminal justice theory and has had a profound influence on legal systems worldwide.
Flyway is an open-source database migration tool that helps developers manage and version control their database schema changes. It allows teams to apply migrations (changes to the database structure, such as creating tables, modifying columns, or adding indexes) in a systematic and repeatable manner. Flyway is designed to work with a variety of relational databases, including PostgreSQL, MySQL, Oracle, SQL Server, and others. **Key Features of Flyway:** 1.

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