The "Cop number" is a concept from graph theory that refers to the minimum number of "cops" needed to guarantee capture of a "robber" moving on a graph. In the context of a game played on a graph, the cops and robber game involves players taking turns to move along the edges of the graph. The objective for the cops is to strategically position themselves to limit the robber's movement options and ultimately capture him.
Arthur Rubin refers to a well-known American pianist and conductor, typically recognized for his performances and interpretations of classical music. He was born on January 28, 1887, and passed away on January 20, 1984. Rubin was particularly acclaimed for his interpretations of works by composers such as Beethoven and Chopin. Aside from being a performer, Rubin was also an influential teacher and educator, helping to shape the careers of many young musicians.
Engineering cybernetics is a multidisciplinary field that focuses on the study and application of systems, control theory, and feedback mechanisms in engineering. It combines principles from various disciplines, including systems engineering, control engineering, computer science, and operations research, to understand how complex systems operate and interact. Key concepts in engineering cybernetics include: 1. **Feedback Loops**: The process of using feedback from the outputs of a system to modify its inputs, creating a self-regulating mechanism.
"Thread of the Silkworm" is a historical novel written by the American author Pearl S. Buck, published in 1967. The story is set in China and follows the life of a Chinese woman named Kwei-lan as she navigates the complex social and personal dynamics of her life, particularly in relation to the silk industry and the impact of Western influences on Chinese culture.
The term "hypercone" can refer to a few different concepts depending on the context. Primarily, it relates to ideas in mathematics and computer science, particularly in geometry and topology. 1. **Mathematical Definition**: In geometry, a hypercone is a generalization of a cone to higher dimensions.
Phenotypic response surfaces are a concept used primarily in ecology, evolutionary biology, and quantitative genetics to visualize and analyze how phenotypic traits (observable characteristics of organisms) respond to changes in environmental conditions or genetic variations. The phrase "response surface" refers to a mathematical or graphical representation that shows how a particular trait (or set of traits) varies in relation to multiple influencing factors.
Benjamin Drake Wright does not appear to be a widely recognized figure or concept in public knowledge as of my last update in October 2023. He may be a private individual, an emerging public figure, or a fictional character.
Daniel J. Bauer may refer to individuals involved in various fields, such as academia, research, or business, but without more context, it's difficult to determine exactly which Daniel J. Bauer you're referring to.
Donald Rubin is an American statistician widely known for his contributions to the field of causal inference and statistics. He is best known for the development of the Rubin Causal Model (RCM), which provides a framework for understanding causal relationships through the use of potential outcomes. This model emphasizes the importance of randomization in experimental design and has significant implications for fields such as economics, social sciences, and epidemiology.
Eric-Jan Wagenmakers is a Dutch psychologist and statistician known for his work in the fields of psychology, cognitive science, and statistical methods, particularly Bayesian statistics. He is recognized for contributing to the understanding and application of Bayesian approaches in psychological research and the interpretation of statistical data. Wagenmakers is also involved in promoting transparency and reproducibility in scientific research. His work has been influential in advocating for better statistical practices and methods within the social sciences.
The Hidden Shift Problem is a concept in computer science, particularly in the fields of algorithms, machine learning, and statistical analysis. It refers to the challenge of detecting an unknown "shift" or change in the distribution of data that is not immediately observable. In a typical formulation, you have a sequence of data points, and at some unknown point in time, the underlying distribution of the data changes. The goal is to identify when this change occurs and potentially what the new distribution is.
"Quantum Computing: A Gentle Introduction" is a book by Eleanor Rieffel and Wolfgang H. Polak that aims to provide a comprehensive overview of the concepts and principles underlying quantum computing. The book is designed for readers who may not have a strong background in quantum mechanics or computer science, making it accessible to a wider audience interested in learning about this emerging field.
BQP stands for "Bounded-error Quantum Polynomial time." It is a complexity class in computational complexity theory that comprises decision problems solvable by a quantum computer in polynomial time, with an error probability of less than 1/3 for all instances.
Quil (Quantum Instruction Language) is an instruction set architecture designed specifically for quantum computing. It was developed by Rigetti Computing as part of their quantum computing platform. Quil is intended to be a high-level programming language that provides a way for developers to write quantum algorithms using a syntax that is both powerful and relatively accessible.
"Bios" is a novel written by the American author **D. A. Mishani**, published in 2020. The book ventures into the realms of science fiction and touches upon themes of artificial intelligence, humanity, and the implications of biotechnology. The story primarily follows a man named **Itamar**, who is deeply engaged in the pursuit of a high-tech solution to longevity and the challenges that come with it.
The Ginzburg–Landau theory is a mathematical framework used to describe phase transitions and critical phenomena, particularly in superconductivity and superfluidity. Developed by Vitaly Ginzburg and Lev Landau in the mid-20th century, this theory provides a macroscopic description of these systems using order parameters and a free energy functional.
The Pauli-Lubanski pseudovector is an important concept in theoretical physics, particularly in the context of relativistic quantum mechanics and the study of angular momentum and symmetry in particle physics. It serves as a relativistic generalization of angular momentum. In the realm of special relativity, the total angular momentum \( J^{\mu} \) of a system can be expressed in terms of the orbital angular momentum and the intrinsic spin of the particles involved.
Semiclassical physics is an approach that combines classical and quantum mechanics to describe physical systems. It is particularly useful in situations where quantum effects are significant but can still be treated approximately using classical concepts and methods. This method often provides insights into quantum systems while avoiding the full complexity of quantum mechanics.
Topological Yang–Mills theory is a variant of Yang–Mills theory that emphasizes topological rather than local geometric properties. In traditional Yang–Mills theory, the focus is on gauge fields and their dynamics, which are described using the local geometric structure of a manifold. However, topological Yang–Mills theory studies the global properties of the gauge fields and their configurations.
The Centre for Quantum Technologies (CQT) is a research institute that focuses on the study and development of quantum technologies. Based in Singapore, CQT is part of the National University of Singapore (NUS) and was established in 2007. Its mission includes advancing the scientific understanding of quantum mechanics and its applications, promoting interdisciplinary research, and supporting the development of quantum technologies, such as quantum computing, quantum communication, and quantum sensing.

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