Yang–Mills theory is a fundamental framework in theoretical physics that describes the behavior of gauge fields. Named after physicists Chen-Ning Yang and Robert Mills, who proposed it in 1954, the theory is a cornerstone of the Standard Model of particle physics, which describes the electromagnetic, weak, and strong forces.
Time-series segmentation is a technique used to divide a continuous time-series dataset into distinct segments or intervals based on certain criteria or characteristics. The objective of segmentation is to identify points in the data where significant changes occur, allowing for better analysis and understanding of the underlying patterns and trends. Segmentation can be performed based on various factors, including: 1. **Change Points**: Identifying points in the time series where the statistical properties of the data change, such as mean, variance, or trend.
The International Conference on Rewriting Techniques and Applications (RTA) is a prominent academic event focused on the theory and application of rewriting techniques in computer science. Rewriting techniques are used in various fields such as formal methods, programming languages, automated reasoning, and symbolic computation.
Giuseppe F. Italiano is a computer scientist known for his work in algorithms and data structures, particularly in the areas of computational geometry, graph algorithms, and optimization. He has made significant contributions to the understanding and development of efficient algorithms and has published numerous research papers in these fields. Many of his works are influential in both theoretical computer science and practical applications.
I. J. Good, or Irving John Good, was a British mathematician and statistician known for his work in the fields of statistics, machine learning, and artificial intelligence. He is perhaps best known for his contributions to the philosophy of artificial intelligence, particularly his formulation of the "Good's intelligence explosion" concept, which explores the potential for an artificial intelligence system to iteratively improve itself and surpass human intelligence.
A Cooper pair is a fundamental concept in the theory of superconductivity, which describes the pairing of two electrons (or other fermions) at very low temperatures. Named after the physicist Leon Cooper, who introduced the idea in 1956, Cooper pairs are essential for the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity. In a normal conductor, electrons experience repulsive interactions due to their negative charge.
Spin-transfer torque (STT) is a phenomenon that occurs in spintronics, a field of electronics that exploits the intrinsic spin of electrons, in addition to their charge, to process and store information. In conventional electronics, information is stored in binary states (0s and 1s) represented by electric charge. In spintronics, the spin state of electrons (up or down) can also be used to represent information.
Spin pumping is a phenomenon observed in the field of spintronics, which involves the generation and manipulation of electron spin in materials to create and utilize spin currents. The process typically occurs when a ferromagnetic material is brought into contact with a non-magnetic conductor, such as a metal.
The Voigt-Thomson law, also known as Thomson's law, relates to the behavior of materials under deformation, specifically concerning the relationship between stress and strain in the context of plasticity and elasticity. It is primarily associated with the study of materials that exhibit both elastic and plastic deformations.
Supercomputers are highly advanced computing machines designed to process vast amounts of data and perform complex calculations at extremely high speeds. They are used for specialized tasks that require immense processing power and memory, such as scientific simulations, weather modeling, molecular modeling, and large-scale data analysis.
The "All of Us" initiative is a research program launched by the National Institutes of Health (NIH) in the United States in 2015. Its primary goal is to gather health data from a diverse group of participants in order to advance precision medicine. Precision medicine tailors medical treatment to the individual characteristics of each patient, including their genetics, environment, and lifestyle.
A self-similarity matrix is a mathematical representation that captures the similarity between different segments of a single data set, such as time series data, images, or text. It is particularly useful in various fields including signal processing, computer vision, and natural language processing. ### Key Characteristics: 1. **Definition**: The self-similarity matrix is typically constructed by computing the similarity (or distance) between different segments or pieces of the same data.
The term "vortex core line" typically pertains to the study of fluid dynamics, particularly in the context of vortex dynamics in fluid flows. A vortex is a region within a fluid where the flow revolves around an axis line, which can be straight or curved. In more technical terms, the vortex core line can refer to the central axis or line around which the vortex structure is organized.
Claw-free permutations are a concept from the field of theoretical computer science, particularly in the study of cryptography and combinatorial structures. A permutation on a finite set is considered claw-free if it does not contain any "claws," which informally refers to certain types of substructures that can allow for unwanted properties, particularly in cryptographic applications.
The Lockheed P-3 Orion is a four-engine, turboprop maritime patrol aircraft originally developed by Lockheed for the United States Navy. Designed during the late 1950s, the P-3 entered service in 1962 and was primarily used for anti-submarine warfare (ASW), but its capabilities have expanded over the years to include roles in anti-surface warfare, reconnaissance, and intelligence-gathering missions.
An optical square is a specialized surveying instrument used in the field of civil engineering, construction, and surveying to ensure right angles, especially in laying out foundations, roads, and other structures. It provides a method for achieving precise right-angle measurements through the use of mirrors or prisms. ### Key Features and Components: 1. **Construction**: Typically consists of two or more arms that are set at a 90-degree angle to each other.
A tribrach is a surveying instrument used primarily for the precise positioning of total stations, theodolites, and other optical instruments. It connects the surveying instrument to a tripod and allows for the leveling and orientation of the instrument in multiple dimensions. Key features of a tribrach include: 1. **Leveling Mechanism**: Most tribrachs come equipped with leveling screws and a spirit level or electronic leveling system to ensure that the instrument is perfectly horizontal.

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