The Dyson series is a mathematical tool used in quantum mechanics to describe the time evolution of quantum states, particularly in the context of time-dependent Hamiltonians. It provides a way to express the evolution operator (or propagator) as a power series in terms of the interaction Hamiltonian.
Quantum catalysts are a concept in the field of chemistry and materials science that leverage principles of quantum mechanics to enhance catalytic processes. Traditional catalysts increase the rate of chemical reactions without being consumed themselves, and they often rely on the unique properties of materials at the atomic or molecular level. Quantum catalysts seek to utilize quantum effects—such as superposition and entanglement—to improve catalytic efficiency, selectivity, and the overall rate of reactions.
A collision cascade refers to a series of reactions or events initiated by a single collision, which leads to a chain reaction. This term is often used in various fields, including physics, nuclear science, and computer graphics. Here are a few contexts in which the term is commonly applied: 1. **Nuclear Reactions:** In nuclear physics, a collision cascade describes the sequence of nuclear reactions that occur when a high-energy particle (like a neutron) collides with a nucleus.
Radio-controlled (RC) cars have developed a distinct subculture, and enthusiasts often exhibit various "personalities" based on their interests, preferences, and styles within the hobby. Here are some common RC car personalities you might encounter: 1. **The Racer**: This enthusiast focuses on speed and competitive racing. They often participate in organized races, invest in high-performance upgrades, and are meticulous about tuning their cars for optimal performance.
The Area-to-Area Lee model is a type of spatial interaction model used in transportation planning, urban studies, and geography to understand and predict the flow of people, goods, or information between different areas or zones. It is a refinement of the earlier gravity model concepts used to analyze spatial interactions based on the principle of gravity, which states that larger areas have more interaction with other areas, and that the strength of this interactions decreases with distance.
The ITU model for indoor radio propagation, as defined by the International Telecommunication Union (ITU), aims to predict radio signal attenuation in indoor environments. One of the more commonly referenced models is the ITU-R P.2108 recommendation, which provides guidance on the assessment of indoor propagation characteristics.
The Agence nationale pour la gestion des déchets radioactifs (ANDRA) is the French National Agency for Radioactive Waste Management. It is responsible for managing the handling, storage, and disposal of radioactive waste in France. Established in 1991, ANDRA plays a central role in ensuring the safe management of radioactive waste, including the operation of disposal facilities and the research and development of sustainable solutions for waste management.
The Radium Ore Revigator was a water container designed in the early 20th century that was claimed to enhance the health benefits of water through the use of radium. The Revigator was marketed as a way to bring the purported healing properties of radium to everyday drinking water. It typically consisted of a ceramic water jug lined with radium-infused materials.
A Radiological Information System (RIS) is a specialized healthcare information system designed to manage medical imagery and associated data. It facilitates the storage, retrieval, management, and distribution of images produced by various radiological modalities, such as X-rays, CT scans, MRI, and ultrasound. Here are some key features and functions of a RIS: 1. **Patient Management**: RIS systems handle patient appointments, demographics, and medical history, ensuring that radiologists have all necessary information before an imaging procedure.
A random number table is a grid or matrix that contains a sequence of random numbers, usually arranged in rows and columns. These numbers are typically generated in a way that each number is as unpredictable as possible, offering no discernible pattern. Random number tables are used in various fields, including statistics, computer science, and research methodologies, primarily for sampling, random selection, and simulations.
The Hallstatt plateau, often referred to in the context of the Hallstatt region in Austria, is a geographic and cultural area known for its stunning natural beauty and historical significance. Hallstatt itself is a picturesque village located on the shores of Lake Hallstatt, surrounded by the Dachstein Alps. The plateau is notable for several reasons: 1. **Geological Features**: It is characterized by rugged mountain terrain, limestone formations, and scenic landscapes that attract tourists and hikers.
A noise generator is a device or software that produces noise signals, which are typically random or pseudo-random electrical signals across various frequency ranges. Noise generators are used in various applications, including: 1. **Testing and Calibration**: In electronics, noise generators are used to test and calibrate audio equipment, radio receivers, and other electronic components. They help in assessing the performance of these devices under controlled noise conditions.
Home automation refers to the use of technology to control various systems and devices within a home, often through a centralized platform or remotely via smartphones or computers. It aims to enhance comfort, convenience, security, and energy efficiency in residential environments. Here are some key aspects of home automation: 1. **Smart Devices**: Home automation typically involves smart devices such as smart lights, thermostats, locks, cameras, speakers, and appliances that can be controlled through a home network.
A number line is a straight horizontal or vertical line that represents numbers in a linear format. It is used to visualize numerical values and their relationships. Here are some key features and uses of a number line: 1. **Representation of Numbers**: The number line usually has evenly spaced intervals along its length, each representing a specific number. The midpoint is often labeled as zero (0), with positive numbers extending to the right and negative numbers extending to the left.
The Rational Zeta series, often denoted as \( \zeta(s) \) when discussing rational functions, is a generalization of the Riemann Zeta function, which traditionally applies to the natural numbers. The Rational Zeta function can be defined for rational numbers or more generally for other complex numbers.
Cyril Norman Hinshelwood (1897–1967) was a British physical chemist known for his significant contributions to the field of chemical kinetics and reaction mechanisms. He was awarded the Nobel Prize in Chemistry in 1956, along with Nikolay Semenov, for their work on the study of extremely fast reactions, particularly those that occur in gases. Hinshelwood's research helped to deepen the understanding of how chemical reactions proceed and the factors that influence reaction rates.
Marcellin Berthelot (1827–1907) was a prominent French chemist and politician known for his significant contributions to the fields of organic chemistry and chemical thermodynamics. He is particularly recognized for his work on the synthesis of organic compounds and the study of thermochemical processes.
Oswald Avery was a Canadian microbiologist and a key figure in the field of genetics. He is best known for his role in the discovery that DNA is the substance that causes bacterial transformation. This groundbreaking research was conducted in the early 1940s, particularly through his work with pneumococcus bacteria.
SIMNET (Simulated Network) is a distributed simulation environment originally developed for training military personnel, particularly for tank warfare. It allows different users to connect over a network and participate in realistic combat scenarios using simulators. The goal of SIMNET is to create a virtual battlefield where participants can operate vehicles, command units, and interact with others in real-time.

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 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.
  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