FRACTRAN is a minimalistic programming language invented by mathematician John Conway. It is designed to demonstrate how computation can be implemented using a simple set of rules involving fractions. The primary concept of FRACTRAN is to execute a series of operations on an integer using a list of fractions. The way FRACTRAN works is as follows: 1. You start with a positive integer (usually 1). 2. You have a predefined list of fractions.
"Curious George" is an animated children's television series based on the book series of the same name by H.A. Rey and Margret Rey. The show premiered on PBS Kids in the United States on September 4, 2006. It features the adventures of a curious little monkey named George and his friend, the Man with the Yellow Hat (often referred to as "The Man"). The series is designed for preschool-age children and aims to educate while entertaining.
A stack machine is a type of computer architecture that primarily uses a stack for managing data and executing instructions. Instead of using registers for operations, a stack machine relies on a last-in, first-out (LIFO) data structure—a stack—to handle its operations. ### Key Characteristics of Stack Machines: 1. **Data Management**: - Operands for operations are pushed onto the stack.
In differential geometry, the curvature form is a mathematical object that describes the curvature of a connection on a principal bundle. It is particularly important in the context of gauge theory and in the study of connections on vector bundles. Here’s a more detailed breakdown: 1. **Principal Bundles and Connections**: In the context of a principal bundle, a connection gives a way to differentiate sections and to define parallel transport.
CyberBerkut is a hacking group that emerged in 2014, known for its pro-Russian stance during the Ukrainian political crisis and the subsequent conflict in Eastern Ukraine. The group claims to represent the interests of the Ukrainian people, particularly in opposition to the Western-backed government in Ukraine and what they perceive as foreign influence in Ukrainian affairs.
Cybercrime refers to illegal activities that are committed using computers or the internet. It encompasses a wide range of offenses, including but not limited to: 1. **Hacking**: Unauthorized access to computer systems and networks, often to steal, alter, or destroy data. 2. **Malware**: The distribution and use of malicious software like viruses, worms, trojans, spyware, and ransomware to damage or gain unauthorized access to systems.
Giorgio Parisi is an Italian theoretical physicist known for his significant contributions to the fields of statistical mechanics, complex systems, and quantum field theory. He was awarded the Nobel Prize in Physics in 2021 for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales. His work has advanced the understanding of complex systems, including phenomena such as spin glasses and the behavior of disordered materials.
Cyclic compounds are chemical compounds in which the atoms are connected to form a ring-like structure. These compounds can be composed of various types of atoms, such as carbon, nitrogen, oxygen, or others, but they are most commonly associated with carbon-based structures. Cyclic compounds can be classified into two main categories: 1. **Homocyclic Compounds**: These compounds contain only one type of atom in the ring, typically carbon.
The **endomorphism ring** of a mathematical structure, such as a module, vector space, or algebraic object, is a way to study the set of all endomorphisms of that structure with respect to a specific operation—usually addition and composition.
"Medardus" can refer to a few different things depending on the context. 1. **Medardus (Saint)**: Saint Medard (also known as Medardus) is a Christian saint believed to have been born in the 6th century in what is now France. He is known as the patron saint of weather and farmers, particularly associated with rain and storms. His feast day is celebrated on June 8.
Cyclone Lothar refers to a significant storm event that occurred in December 1999. It primarily affected parts of Western Europe, particularly France, Switzerland, and Germany. Lothar was classified as a powerful extra-tropical cyclone, which is a type of storm that typically forms outside of the tropics. The cyclone brought extremely high winds, heavy rainfall, and extensive damage, leading to widespread disruption.
In the context of mathematics, specifically in the field of algebraic topology and group theory, a Hopfian object is typically defined as an object that is "Hopfian" if it is not isomorphic to any of its proper quotients. More precisely, a group \( G \) is called a Hopfian group if every surjective homomorphism from \( G \) to itself is an isomorphism.
Cyrillic numerals refer to a system of numeral notation that was historically used in some Slavic regions, particularly in Eastern Europe, that utilized the Cyrillic alphabet. This numeral system is based on the letters of the Cyrillic alphabet, assigning numerical values to certain letters, similar to the way Roman numerals are structured with letters from the Latin alphabet. In the Cyrillic numeral system, specific letters are designated to represent numbers.
Morita equivalence is a concept in category theory that describes when two categories are "essentially the same" from a categorical viewpoint. Specifically, two categories \( C \) and \( D \) are said to be Morita equivalent if they have equivalent categories of modules (or representations) in a way that preserves the structure of these categories. In more concrete terms, Morita equivalence can be understood in the context of ring theory.
"Virtual crime" typically refers to illegal activities that occur in digital spaces, often involving the internet or computer systems. This term encompasses a wide range of offenses, including but not limited to: 1. **Cyber Crime**: Activities such as hacking, identity theft, phishing, and the distribution of malware. Cyber crimes can target individuals, corporations, and governments. 2. **Online Fraud**: Schemes that deceive individuals into giving away personal information or money.
Daikakuji Guyot is an esteemed template in the art of Japanese calligraphy known for its unique and expressive techniques.
"Dalíland" is a film that revolves around the life and work of the iconic surrealist artist Salvador Dalí. Directed by Mary Harron, the movie focuses on the later years of Dalí's life, particularly during the 1970s, exploring his relationships, artistic process, and the impact of his eccentric personality on those around him.
Dana S. Nau is a notable figure in the fields of computer science and artificial intelligence, particularly known for his work in automated planning, multi-agent systems, and robotics. He has contributed significantly to the development of planning algorithms and theories, which are crucial for enabling machines and robots to make decisions and execute tasks autonomously. Nau has held academic positions, including at the University of Maryland, where he has been involved in both teaching and research.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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