Wolfgang Pauli (1900-1958) was an influential Austrian theoretical physicist who is best known for his work in quantum mechanics. He is particularly renowned for formulating the Pauli Exclusion Principle, which states that no two identical fermions (such as electrons) can occupy the same quantum state simultaneously. This principle is fundamental to the structure of atoms and explains a wide range of physical and chemical phenomena, including the behavior of electrons in atoms and the stability of matter.
A cryometer is an instrument used to measure very low temperatures, typically in the cryogenic range, which is generally considered to be below -150 degrees Celsius (-238 degrees Fahrenheit). Cryometers can be used in various scientific and industrial applications, including material testing, fundamental physics research, or in the cooling processes of technologies such as superconductors. Different types of cryometers operate on various principles.
Thin-film optics is the study of light behavior as it interacts with thin layers of materials, typically ranging from a few nanometers to several micrometers in thickness. These thin films can cause various optical phenomena due to the interference of light waves reflected and transmitted at the boundaries of the film. ### Key Concepts in Thin-Film Optics: 1. **Interference**: When light waves reflect off the upper and lower boundaries of a thin film, they can interfere with one another.
Edison's Black Maria, also known as the Black Maria studio, was the first movie studio in the United States, created by inventor Thomas Edison in 1893. Located in West Orange, New Jersey, the studio was a small, tar-paper-covered building that was designed to be a versatile, movable structure. Its unique design included a rotating roof, allowing natural light to enter at various angles—ideal for filming.
The tachyonic antitelephone is a hypothetical concept in theoretical physics that involves the use of hypothetical particles called tachyons, which are theorized to travel faster than the speed of light. The concept was introduced by physicists to explore the implications of faster-than-light communication. In essence, the tachyonic antitelephone is a thought experiment that suggests a method of communication using tachyons.
Egschiglen is a traditional form of Mongolian throat singing, known as "Khoomei," which allows singers to produce multiple pitches simultaneously. The term "Egschiglen" often specifically refers to a style or repertoire of throat singing that showcases the unique vocal techniques and cultural significance of this art form. In Mongolian culture, throat singing is closely tied to the natural landscape, shamanistic practices, and the nomadic lifestyle of the Mongolian people.
"Discourse on the Tides" is not a widely recognized term or title in conventional literature, philosophy, or scholarship, as of my last update in October 2023. It could potentially refer to a specific text, artistic work, or concept that has emerged recently or may be related to themes of change, movement, or the philosophical implications of tides—common metaphors in discussions about human experience, nature, or societal shifts.
A **string graph** is a type of intersection graph that can be constructed from a collection of continuous curves (strings) in a two-dimensional space. More formally, a string graph is defined as the graph whose vertices correspond to these curves, and there is an edge between two vertices if and only if the corresponding curves intersect at some point in the plane.
Chain linking is a method used in various fields, primarily in economic statistics and time series analysis, to connect different data points or measurements over time to create a more continuous series of data. It allows for the adjustment of data to reflect changes in price levels or quantities, enabling better comparisons across different periods. In the context of economics, chain linking often refers to the way that real GDP (Gross Domestic Product) or other economic indicators are calculated to account for inflation.
Mean Absolute Scaled Error (MASE) is a metric used to evaluate the accuracy of forecasting methods. It provides a scale-free measure of forecasting accuracy, making it useful for comparing forecast performance across different datasets and scales.
Smoothing is a statistical technique used to reduce noise and variability in data to reveal underlying patterns or trends. It is commonly applied in various fields, such as signal processing, time series analysis, data visualization, and machine learning. The goal of smoothing is to make the important features of the dataset more apparent, allowing for clearer insights and analysis.
The Green–Kubo relations are a set of fundamental equations in statistical mechanics that relate transport coefficients, such as viscosity, thermal conductivity, and diffusion coefficients, to the time correlation functions of the corresponding fluxes. These relations are named after physicists Merle A. Green and Ryōji Kubo, who developed the framework for understanding transport phenomena using statistical mechanics.
A **compactly generated group** is a type of topological group that can be characterized by the manner in which it is generated by compact subsets. Specifically, a topological group \( G \) is said to be compactly generated if there exists a compact subset \( K \subseteq G \) such that the whole group \( G \) can be expressed as the closure of the subgroup generated by \( K \).
The inductive tensor product is a concept that arises in functional analysis and the theory of nuclear spaces. It is a construction that provides a way to produce a tensor product of topological vector spaces while preserving certain properties, particularly those related to continuity and compactness.
A Nori-semistable vector bundle is a concept that arises in the context of algebraic geometry, particularly in the study of vector bundles over algebraic varieties. It is named after Mukai and Nori, who have contributed to the theory of stability of vector bundles. In the framework of vector bundles, the stability of a bundle can be understood in relation to how it behaves with respect to a given geometric context, particularly with respect to a projective curve or a variety.
A multiple-vortex tornado is a type of tornado that contains smaller rotating columns of air, or vortices, around its main channel of rotation. These vortices can form within the larger tornado and create a complex structure, with multiple areas of intense rotation occurring simultaneously. Multiple-vortex tornadoes can lead to increased damage potential because the smaller vortices may touch down in different locations around the tornado's core, causing destruction over a wider area compared to a single-vortex tornado.
Nosco Plastics is a company that specializes in the design and manufacturing of plastic packaging solutions. While specific details about the company's history, products, and services may vary, they are typically involved in creating a range of plastic products used in various industries, including food and beverage, healthcare, personal care, and consumer goods. Companies in this sector often focus on innovation, sustainability, and meeting regulatory standards.
A Topsy-Turvy doll, sometimes called a "flip doll" or "two-sided doll," is a type of traditional toy that features two dolls in one. It usually consists of a single body with two different heads on either end, allowing for one doll to be 'revealed' when the other is inverted or flipped. This design often showcases contrasting characters, such as a mother and child, a prince and princess, or different cultural representations.
Vehicle modification refers to the process of altering or enhancing a vehicle's original design and specifications. This can encompass a wide range of changes, including aesthetic improvements, performance upgrades, and functional enhancements. Vehicle modifications can be made for various reasons, including improving performance, increasing comfort, enhancing safety, personalizing appearance, or complying with specific regulations.
Aviation accidents and incidents with disputed causes refer to events in which an aircraft is damaged or involved in a mishap, but the factors leading to the event are not clear-cut or are contested. These disputes can arise from various sources, including differing opinions among investigators, conflicting evidence, or ambiguous circumstances surrounding the event.

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