The quantum vacuum, often referred to simply as the "vacuum" in the context of quantum field theory, is a fundamental concept in modern physics. Contrary to the classical notion of a vacuum as an empty space devoid of matter, the quantum vacuum is a dynamic state filled with fluctuating energy and virtual particles that constantly pop in and out of existence.
Twistor theory is a mathematical framework developed by the British mathematician Roger Penrose in the 1960s. It is designed to provide a new perspective on the geometry of space-time and the fundamental structures of physical theories, particularly in the context of general relativity and quantum gravity. At its core, twistor theory transforms the conventional approach to understanding space-time by introducing a new set of mathematical objects called "twistors.
The Centre for Nanoscience and Quantum Information (NQIQS) is an interdisciplinary research facility that typically focuses on the fields of nanotechnology, quantum science, and their applications. While the specific details can vary by institution, such centers often involve the study of nanoscale materials and devices, quantum computing, quantum communication, and related technologies.
Quantum cognition is an interdisciplinary field that explores the application of quantum mechanical principles to understand cognitive processes, particularly in decision-making, perception, and human reasoning. It suggests that certain behaviors and phenomena in human thought cannot be adequately described by classical probabilistic models, which assume that cognitive processes operate in a straightforward, deterministic manner. Key concepts in quantum cognition include: 1. **Superposition**: In quantum mechanics, particles can exist in multiple states at once until measured.
The transmon is a type of superconducting qubit, which is a fundamental component used in quantum computing. Developed in the early 2000s, the transmon qubit improves upon earlier designs by reducing sensitivity to charge noise, which is a form of environmental interference that can degrade qubit performance.
Quaternary science is the study of the Quaternary period, which is the most recent geological time period, spanning from about 2.58 million years ago to the present. This field encompasses various disciplines, including geology, paleontology, archaeology, and environmental science, as it examines the Earth's most recent climatic changes, the development of human civilizations, and the evolution of ecosystems.
Radio-controlled (RC) helicopters are model helicopters that can be controlled remotely using a transmitter (remote control) that sends signals to a receiver on the helicopter. These models come in a variety of sizes, complexities, and designs, ranging from simple toys for beginners to sophisticated machines for experienced hobbyists and professionals. ### Key Components: 1. **Transmitter**: The handheld device that the pilot uses to control the helicopter. It typically has joysticks and switches for maneuvering.
The term "Buddy Box" can refer to different things depending on the context. Here are a few common interpretations: 1. **Subscription Service**: In some contexts, particularly in the UK, "Buddy Box" refers to a subscription service provided by a mental health organization, such as "The Blurt Foundation." These boxes typically contain items designed to support mental well-being, such as self-care products, books, and resources for individuals experiencing depression or other mental health issues.
Eisenbahn Kurier is a German magazine that focuses on railways and trains. It covers a wide range of topics related to rail transport, including news, technical details, historical perspectives, and contemporary issues in the railway industry. The magazine is popular among railway enthusiasts, historians, and professionals in the field, providing insights into both German rail systems and international railway developments. It includes features on model trains, rail operations, and reviews of railway technology and equipment.
A function of a real variable is a mathematical relationship that assigns to each real number \( x \) in a given set (the domain) exactly one real number \( f(x) \) in another set (the codomain or range).
Alan Hodgkin (1914–1998) was a prominent British physiologist best known for his work in the field of neurophysiology. He made significant contributions to the understanding of the electrical properties of nerve cells. Along with Andrew Huxley, Hodgkin received the Nobel Prize in Physiology or Medicine in 1963 for their research on the ionic mechanisms involved in the propagation of action potentials in neurons, which was crucial for understanding how signals are transmitted in the nervous system.
Albert von Kölliker (1817–1905) was a prominent Swiss anatomist and physiologist known for his significant contributions to the fields of histology and embryology. He is often recognized for his work on muscle and nerve tissues, as well as for his advances in microscopy. Kölliker was an early advocate for the use of the microscope in biological research and made important strides in the understanding of cellular structures and functions.
Eduard Suess (1831–1914) was an Austrian geologist and paleontologist known for his work in the fields of geology and earth sciences. He is best remembered for his contributions to the understanding of stratigraphy and for the concept of the "Gondwana" supercontinent, which included parts of present-day South America, Africa, Antarctica, Australia, and the Indian subcontinent.
Peter D. Mitchell is an English biochemist who is best known for his work on the chemiosmotic theory, which describes how ATP (adenosine triphosphate) is produced in cells. He proposed that the energy derived from the electron transport chain is used to create a proton gradient across a membrane, which then drives ATP synthesis through ATP synthase. This groundbreaking concept significantly advanced our understanding of cellular respiration and energy production in biological systems.
Thomas Hutchins (c. 1730–1790) was an American naturalist and surveyor known for his contributions to the early exploration and mapping of the North American frontier, particularly the Ohio River Valley. Hutchins served as the first geographer of the United States and played a significant role during the period of westward expansion in the 18th century.
Polynomial-time reduction is a concept in computational complexity theory that describes a way to show that one problem can be transformed into another problem in polynomial time. It serves as a fundamental technique for classifying the difficulty of computational problems and understanding their relationships. ### Key Concepts: 1. **Problem Mapping**: In polynomial-time reduction, we have two problems, let's say Problem A and Problem B. We want to show that Problem A is at most as hard as Problem B.
In research and experimentation, variables are classified into two main types: independent variables and dependent variables. ### Independent Variable - **Definition**: The independent variable is the variable that is manipulated or controlled by the researcher to investigate its effect on another variable. It is considered the "cause" in a cause-and-effect relationship. - **Example**: In an experiment to determine how different amounts of sunlight affect plant growth, the amount of sunlight each plant receives is the independent variable.
An interval predictor model, often referred to in the context of statistical modeling and machine learning, is a type of predictive model that estimates a range of values (intervals) instead of a single point estimate. This approach is particularly useful when uncertainty in predictions is a significant factor, as it provides a more comprehensive understanding of potential outcomes. ### Key Features of Interval Predictor Models: 1. **Uncertainty Quantification**: These models highlight the uncertainty associated with predictions by providing a range (e.g.
A Dyck graph is a type of graph that represents the relationships between different valid sequences of balanced parentheses or paths in a lattice. The concept is often tied to combinatorial structures and is particularly connected to Dyck words, which are sequences of symbols that maintain a balance (for every opening symbol, there is a corresponding closing symbol).

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