Internal Set Theory (IST) is a framework developed by mathematician Edward Nelson in the 1970s. It is an alternative set theory that extends traditional set theory (like Zermelo-Fraenkel set theory) by allowing the formal treatment of "infinitesimals" and "infinite numbers," which do not exist in conventional mathematics.
Discourse Representation Theory (DRT) is a framework in semantics and computational linguistics that seeks to represent the meaning of sentences in a way that accounts for context and the relationships between entities mentioned in discourse. Developed primarily by Hans Kamp in the 1980s, DRT focuses on how information is structured in language, particularly in relation to an unfolding narrative or conversation.
Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without descending into triviality (where every statement would be considered true). In classical logic, if a contradiction is present, any statement can be proven true, a principle known as the principle of explosion (ex contradictione quodlibet). Paraconsistent logic, on the other hand, seeks to handle contradictions in a controlled manner.
A Schmidt net is a type of low-discrepancy sequence used in quasi-Monte Carlo methods for numerical integration and simulation. It is particularly useful for high-dimensional integration problems where traditional Monte Carlo methods may require a prohibitive number of random samples to achieve a given level of accuracy. The Schmidt net is constructed to fill a multidimensional space more uniformly than typical random sampling, thereby reducing the error in numerical approximations.
Morse–Kelley set theory is a form of set theory that serves as an alternative foundation for mathematics. It is an extension of Zermelo-Fraenkel set theory (ZF) that includes classes, similar to von Neumann–Bernays–Gödel (NBG) set theory. The primary distinguishing feature of Morse–Kelley set theory is its treatment of proper classes, which are collections that are too large to be considered sets within the framework.
The Astronomical System of Units (ASU) is a system of measurement used primarily in astronomy, particularly in the context of celestial mechanics, to facilitate calculations involving large distances and masses in the universe. It is based on a few fundamental natural constants. The primary units in the Astronomical System of Units include: 1. **Astronomical Unit (AU)**: The average distance from the Earth to the Sun, approximately \(1.496 \times 10^{11}\) meters.
The Imperial and US customary measurement systems are two systems of measurement that share some similarities but also have distinct differences. Here’s a comparison of the two: ### Origins - **Imperial System**: Developed in the UK and standardized in the 19th century, notably with the Weights and Measures Act of 1824. It was used throughout the British Empire and is still used in some Commonwealth countries.
The term "conventional electrical unit" isn't a standard term in electrical engineering, but it might refer to commonly used units in electrical measurements that adhere to conventional standards. In electrical engineering, several standard units are used to quantify various electrical properties: 1. **Voltage (V)**: The unit of electric potential difference. It is measured in volts (V). 2. **Current (I)**: The flow of electric charge. It is measured in amperes (A).
A gallon is a unit of measurement for liquid capacity. It is commonly used in the United States and some other countries. There are two main types of gallons: 1. **US Gallon**: The US gallon is defined as 3.78541 liters. It is used primarily in the United States for measuring liquids such as milk, gasoline, and other beverages.
The Kosten unit is a unit of measurement used in the fields of economics and biology, particularly in animal physiology and energy expenditure studies. It is used to quantify metabolic energy consumption or efficiency based on various activities. The term "Kosten" is derived from the name of the scientist who developed the concept.
As of my last update in October 2023, "Splittance" does not appear to refer to a well-known concept, term, or technology within general knowledge, popular culture, or specific technical fields. It’s possible that it could be a brand, a software tool, a term used in a niche context, or a recent development that has emerged after my last training data.
Twin-width is a structural parameter in graph theory that is used to measure the complexity of a graph in terms of how it can be decomposed into simpler components. It is particularly useful for understanding certain classes of graphs and can provide insights into their properties and potential algorithmic approaches for solving problems on them. The concept of twin-width was introduced in a paper by Bui-Xuan, Dolecek, and Fomin in 2020.
The term "Petersen family" can refer to different contexts depending on the specific area of interest. Here are a few possibilities: 1. **Cultural or Historical Context**: The Petersen family could refer to a family of historical or cultural significance in a specific region or country. 2. **Literary or Film Reference**: There might be fictional works, books, or movies that feature a "Petersen family" as characters.
E-Rate, officially known as the Schools and Libraries Program, is a federal program in the United States designed to help schools and libraries obtain affordable telecommunications and internet access. Established under the Telecommunications Act of 1996 and administered by the Universal Service Administrative Company (USAC), the E-Rate program provides discounts on eligible services based on the level of poverty in the area served by the school or library.
A **clique graph** is a concept in graph theory that pertains to representing cliques within a given graph. A **clique** in a graph is a subset of its vertices such that every two distinct vertices in the subset are adjacent, meaning there is an edge connecting each pair of vertices. In simpler terms, a clique is a complete subgraph.
An acyclic orientation of a directed graph (digraph) is an assignment of directions to the edges of the graph such that there are no directed cycles.
In mathematics and graph theory, a Mycielski graph, or Mycielski construction, is a method for constructing new graphs from existing ones. The Mycielski construction is used primarily to create triangle-free graphs, which are graphs that do not contain any cycles of length three (triangles). The construction works as follows: 1. **Start with a graph \( G \)**: This can be any simple graph.
The Internet has evolved significantly since its inception. Here's a timeline highlighting key developments and milestones in the history of the Internet, year by year: ### 1960s - **1962:** J.C.R. Licklider of MIT discusses a concept of an "Intergalactic Network" of computers. - **1965:** The first wide-area network connection is established between a computer at MIT and another at Stanford Research Institute.
The act you are referring to is likely the "Internet Governance Modernization Act," which was introduced to affirm the policy of the United States regarding internet governance, particularly in relation to international entities that manage aspects of the internet, such as domain names and IP addresses. It typically emphasizes the importance of a free, open, and secure internet, and the role of multi-stakeholder governance involving various stakeholders, including the private sector, civil society, and governments.
The Knowbot Information Service was an innovative tool that emerged in the early 1990s, designed to facilitate the searching and retrieval of information on the Internet. It was one of the first attempts to create a system that could use artificial intelligence to enhance information discovery.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





