Sister Celine's polynomials are a special class of polynomials that arise in the context of combinatorics and algebra. They are defined using a recursive relation similar to that of binomial coefficients.
Accidental symmetry is a concept often encountered in various fields, including physics, mathematics, and even art and architecture. It refers to a situation where a system or object exhibits a symmetry that is not inherent or fundamental to its structure but rather arises from particular circumstances or specific configurations. In physics, for example, accidental symmetries can emerge in the context of particle physics or quantum mechanics.
The Bogomol'nyi–Prasad–Sommerfield (BPS) bound is a concept in theoretical physics, particularly in the context of supersymmetry and solitons in field theories. It refers to a bound on the mass of certain solitonic solutions (like monopoles or other topological defects) in terms of their charge and other physical parameters.
Quantum nonlocality is a phenomenon in quantum mechanics that describes the ability of quantum systems to exhibit correlations that cannot be explained by classical physics, even when parts of the system are separated by large distances. This concept is closely associated with entanglement, where two or more particles become interconnected in such a way that the state of one particle instantaneously influences the state of another, regardless of the space between them.
An ancilla bit, in the context of quantum computing, refers to an additional qubit that is used to assist in computations but is not part of the main input or output of the quantum algorithm. Ancilla bits serve several purposes, such as: 1. **Facilitating Quantum Gates**: Ancilla bits can help in implementing certain quantum gates or operations that may be difficult to perform directly on the main qubits.
Multipartite entanglement refers to a type of quantum entanglement involving more than two quantum systems or particles. While bipartite entanglement involves only two particles and is characterized by the quantum correlations that occur between them, multipartite entanglement considers scenarios where three or more systems are entangled simultaneously. In multipartite systems, the entangled state can exhibit more complex correlations and can be classified into various categories based on their structure and properties.
Quantum Dot Cellular Automaton (QDCA) is a computational model that uses arrays of quantum dots as basic units to perform computations. In this model, each quantum dot represents a binary state (0 or 1) and can interact with its neighboring dots, similar to how cellular automata operate. ### Key Features of Quantum Dot Cellular Automaton: 1. **Quantum Dots**: These are semiconductor particles that are small enough to exhibit quantum mechanical properties.
Acín decomposition refers to a specific mathematical framework introduced by Antonio Acín in the context of quantum information theory. It is primarily used for the analysis and characterization of quantum states, particularly in the study of multipartite quantum systems. The Acín decomposition allows for the representation of a certain class of quantum states, often called "entanglement" states, into simpler components that are easier to analyze.
Quantum mutual information is a concept from quantum information theory that generalizes the classical notion of mutual information to the realm of quantum mechanics. In classical information theory, mutual information quantifies the amount of information that two random variables share, representing how much knowing one variable reduces the uncertainty about the other. In the quantum context, consider a bipartite quantum system composed of two subsystems \( A \) and \( B \).
Monokote is a brand of heat-shrinkable film used primarily for covering and finishing model aircraft, particularly in the radio-controlled (RC) modeling community. It is a type of polyester film that is lightweight, durable, and can be easily applied to wood, foam, and other materials commonly used in model construction. Monokote is known for its glossy finish and comes in a variety of colors and patterns, allowing modelers to customize the appearance of their aircraft.
Fidelio Telemetry refers to a specific system or suite of tools developed by Fidelio, which is often associated with hospitality management solutions or related industries. In a general context, telemetry involves the collection and transmission of data from remote sources for monitoring and analysis.
John B. Little is a name associated with various contexts, but one of the more prominent references is to John B. Little in the field of physics, particularly concerning radiation biology and health physics. He has made significant contributions to the understanding of radiation effects on living tissues and the risks associated with exposure to ionizing radiation. If you're looking for information about a specific John B. Little, such as a particular work, publication, or context in which the name is relevant, please provide more details!
Paul Renne is a prominent geologist and paleontologist known for his work in the field of geology, particularly relating to the study of ancient ecosystems and climate change. He has contributed significantly to our understanding of the geologic history of the Earth, sedimentary processes, and the impact of environmental changes on biological evolution. Renne is also known for his research on radiometric dating methods, particularly argon-argon dating, which is used to date volcanic and sedimentary rock layers.
As of my last knowledge update in October 2023, Jason S. Lewis is not a widely recognized public figure or notable individual in the fields commonly referenced in popular media, such as politics, entertainment, literature, or science. There may be individuals by that name in various professional fields, but without additional context, it's difficult to identify a specific Jason S. Lewis.
Sets of real numbers are collections of numbers that can be classified as "real," which includes all the numbers that can be found on the number line. The real numbers include: 1. **Natural Numbers**: The set of positive integers starting from 1 (e.g., 1, 2, 3, ...). 2. **Whole Numbers**: The set of non-negative integers (e.g., 0, 1, 2, 3, ...).
Hans Krebs (1900-1981) was a distinguished British biochemist of German origin, renowned for his significant contributions to the field of biochemistry, particularly in understanding cellular respiration. He is best known for discovering the urea cycle and the citric acid cycle (also known as the Krebs cycle), both of which are fundamental metabolic pathways in living organisms.
James Ivory (1765–1842) was a Scottish mathematician and a prominent figure in the development of mathematical analysis and geometry during the late 18th and early 19th centuries. He is best known for his contributions to calculus and for his work on various mathematical problems, including those related to the theory of curves and surfaces. Ivory is also recognized for his contributions to the field of integral calculus and for his work on the moment of inertia in mechanics.
John Huxham is a notable figure primarily recognized for his work in the fields of organizational management and systems thinking. He is a professor, researcher, and consultant who has focused on collaboration and the dynamics of organizations. Huxham has been associated with various academic institutions and has contributed to the development of concepts related to managing partnerships, networks, and collaborative efforts within organizations. His work emphasizes the importance of understanding the complexities of collaborative processes and the challenges organizations face when trying to work together effectively.
Justus von Liebig (1803–1873) was a German chemist who is often referred to as one of the founding figures of organic chemistry. He made significant contributions to the fields of agricultural chemistry, biochemistry, and the study of the chemistry of living organisms. Liebig is best known for developing the concept of the synthesis of organic compounds and for his work on the importance of nitrogen in plant nutrition, which laid the groundwork for modern agricultural practices and fertilizer production.
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 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