The Regular Division of the Plane is a concept in mathematics, particularly in the field of geometry and art, that involves partitioning a two-dimensional space into regions of equal size and shape. The most common examples of regular divisions involve patterns created by repeating geometric shapes, such as squares, triangles, hexagons, or other polygons. These regular divisions can be created by translating, rotating, or reflecting shapes in the plane, allowing for a structured and often aesthetically pleasing arrangement.
"Sky and Water I" is a well-known work by the Dutch artist M.C. Escher, created in 1938. This lithograph is famous for its intricate use of tessellation and the seamless integration of contrasting elements: birds and fish. In the artwork, the upper portion depicts a gradient sky filled with flying birds, while the lower section features a body of water populated by swimming fish.
Messier 15 (M15), also known as NGC 7078, is a globular cluster located in the constellation Pegasus. It is one of the oldest globular clusters known, with an estimated age of around 13 billion years. M15 contains hundreds of thousands of stars and is notable for its densely packed core, which makes it one of the most concentrated globular clusters in our galaxy.
X.32 is a recommendation from the International Telecommunication Union (ITU) that relates to data communication over a series of networks. Specifically, it's part of the X series of recommendations, which deal with digital telecommunications and provides guidelines for various aspects of digital data transmission. X.32 addresses the technical requirements for the interface between the subscriber's equipment and the public data network, focusing on the connection management and data link layer protocols.
Spectral imaging, particularly in the context of radiography, refers to a technique that captures and analyzes the spectral information of an object or scene, allowing for more detailed and nuanced imaging compared to traditional methods. This technique is commonly used in medical imaging, material analysis, and other scientific fields.
X-ray Raman scattering (XRS) is a spectroscopy technique that combines elements of X-ray scattering and Raman scattering to study the electronic and structural properties of materials at the atomic scale. It involves the inelastic scattering of X-ray photons from the electrons in a sample, where the energy of the incident X-ray photons is partially transferred to the electronic states of the material. This results in a change in the energy and momentum of the scattered X-rays.
The Lunghua Civilian Assembly Centre, often referred to as the Lunghua Internment Camp, was a facility located near Shanghai, China, that served as an internment camp during World War II. It was established by the Japanese military in 1943 and primarily held civilians, including Westerners and Chinese, who were living in Shanghai. The camp was part of the Japanese occupation efforts during the war, which included the internment of foreign nationals.
"Huajing" (华景) can refer to different contexts, depending on the area of interest. One possibility is that it refers to a place or district in China. For example, Huajing is a neighborhood in Shanghai, known for its residential areas and local amenities. Another context could involve cultural or artistic references, where "Huajing" could refer to specific concepts, works, or practices within Chinese literature, art, or philosophy.
The Shanghai Corniche is a scenic waterfront promenade located along the Huangpu River in Shanghai, China. It is part of a larger urban development project aimed at enhancing public spaces and improving access to the riverfront. The Corniche offers visitors panoramic views of the city's iconic skyline, including landmarks like the Oriental Pearl Tower, the Jin Mao Tower, and the Shanghai World Financial Center. The promenade is designed for pedestrians and cyclists, featuring walking paths, parks, and recreational areas.
In number theory and representation theory, an automorphic L-function is a type of complex analytic function that encodes significant arithmetic information about automorphic forms, which are certain types of functions defined on algebraic groups over global fields (like the rational numbers) that exhibit certain symmetries and transformation properties. ### Key Concepts: 1. **Automorphic Forms**: These are generalizations of modular forms, defined on the quotient of a group (often the general linear group) over a number field.
The Shintani zeta function is a special type of zeta function that arises in the context of number theory, particularly in the study of algebraic integers in number fields and certain functions related to modular forms and Galois representations. It is named after Kiyoshi Shintani, who introduced it in the 1970s as part of his work on generalized zeta functions associated with algebraic number fields and the theory of modular forms.
Stereoisomerism is a form of isomerism in which molecules have the same molecular formula and the same connectivity of atoms but differ in the three-dimensional arrangement of their atoms in space. This spatial arrangement can significantly affect the properties and reactivity of the compounds.
Stuart A. Rice is a prominent physicist known for his work in the fields of chemical physics and physical chemistry. He has made significant contributions to theoretical and computational chemistry, especially in areas such as statistical mechanics, molecular dynamics, and the study of nonequilibrium systems. Rice has authored numerous papers and has been involved in various academic and research initiatives throughout his career. He is also noted for his role in educating and mentoring students in the fields of physics and chemistry.
The Penthouse Principle is a concept often discussed in the context of organizational management and leadership. It suggests that leaders and decision-makers should maintain a high-level perspective—similar to being in a penthouse with a view—so they can see the bigger picture and make informed decisions. This principle emphasizes the importance of strategic thinking, long-term planning, and the ability to look beyond immediate issues or challenges.
Surface properties of transition metal oxides (TMOs) are critical for various applications, including catalysis, sensor technology, and electronic devices. These properties are heavily influenced by the unique electronic structure, coordination geometry, and chemical reactivity of transition metals. Here are some key aspects of the surface properties of transition metal oxides: 1. **Surface Structure and Morphology**: - The surface structure can vary depending on the preparation method (e.g.
A survey marker is a reference point used in surveying and mapping to indicate the geographic location of a specific point on the earth's surface. These markers serve as physical evidence of land boundaries or geographic features and are typically placed by surveyors to establish property lines or to assist in topographical mapping. Survey markers can come in various forms, including: 1. **Tape Marks:** Simple markings on trees, rocks, or the ground to indicate boundaries.
Svetlana Gerasimenko is a Russian astrophysicist and mathematician known for her work in the field of celestial mechanics and comet studies. She is often associated with her studies on comets, particularly for her involvement with the discovery of Comet 67P/Churyumov-Gerasimenko, a comet that garnered significant attention as the target of the European Space Agency's Rosetta mission.
Swatch Internet Time is a decimal timekeeping system introduced by the Swiss watch company Swatch in 1998. It divides the day into 1,000 ".beats," where each .beat is equal to 1 minute and 26.4 seconds. The system eliminates traditional time zones, allowing for a universal time that can be used worldwide.
"Park Avenue" is a British television soap opera that aired on the teletext service Ceefax from 1992 to 1993. It was notable for being one of the first soap operas to be presented through teletext technology, allowing viewers to read the story and plotlines directly on their television screens.
Thermal medicine is a branch of medicine that focuses on the use of temperature as a therapeutic tool to treat various medical conditions. It involves the application of heat or cold to the body for therapeutic purposes. The principles of thermal medicine are based on the understanding of how temperature affects biological processes. ### Key Aspects of Thermal Medicine: 1. **Thermotherapy (Heat Therapy)**: - Involves the application of heat to relieve pain, improve circulation, accelerate healing, and relax muscles.

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