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.
Coloured Book protocols refer to a set of communication protocols developed for computer networking and telecommunications, primarily in the context of the British government's "Coloured Book" standards. These protocols were designed to facilitate secure and reliable data exchange over networks, particularly in environments where security and confidentiality were critical. The term "Coloured Book" comes from the practice of using different colors for various protocol specifications. Each "color" would represent a different set of requirements or security levels.
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.
The Mae West Lips Sofa is a famous piece of furniture designed by the influential artist and designer Salvador Dalí in 1938. The sofa is shaped like a pair of lips, which was inspired by the actress Mae West, known for her provocative and flamboyant persona. The design is notable for its playful and surreal qualities, characteristic of Dalí's artistic style. The lips sofa has become an iconic piece of modern design and is often associated with surrealism.
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.
Computed Tomography Angiography (CTA) is a medical imaging technique that combines a CT scan with the administration of a contrast material (dye) to visualize blood vessels in various areas of the body. It provides detailed images of the blood vessels, including arteries and veins, and is often used to assess conditions such as vascular diseases, blockages, aneurysms, and other abnormalities.
Computed tomography (CT) of the chest is a medical imaging technique that uses X-rays and computer processing to create detailed cross-sectional images of the chest area, including the lungs, heart, blood vessels, and other structures. This non-invasive procedure provides more detailed images than standard X-rays, allowing for better visualization and assessment of various medical conditions.
Computed tomography (CT) of the head, also known as a head CT scan, is a medical imaging technique that uses X-ray technology to create detailed cross-sectional images of the brain, skull, and surrounding structures. This imaging modality is particularly useful for diagnosing a variety of conditions, including: 1. **Head Injuries**: CT scans are commonly used to detect fractures, bleeding, or swelling in the brain following trauma.
Contrast CT, or Contrast-Enhanced Computed Tomography, is a medical imaging technique that uses contrast agents (also known as contrast media) to improve the visibility of anatomical structures in CT scans. ### Key features of Contrast CT: 1. **Contrast Agents**: These are substances that enhance the contrast of the images captured during the CT scan.
Computed Tomography (CT), also known as a CT scan or CAT scan, is an advanced medical imaging technique that uses x-rays and computer processing to create detailed cross-sectional images of the body. The operation of a CT scan involves several key steps: 1. **Patient Preparation**: Before the scan, the patient may be asked to change into a hospital gown and remove any metal objects (jewelry, glasses, etc.) that could interfere with the imaging.
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 diffraction computed tomography (XRD-CT) is an imaging technique that combines the principles of X-ray diffraction and computed tomography (CT) to analyze the internal structure of materials at a high spatial resolution. This technique is particularly useful for studying crystalline materials and provides detailed information about their structure and properties. ### Key Components of XRD-CT: 1. **X-ray Diffraction**: This part of the technique relies on the scattering of X-rays by the crystal lattice of a material.
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.
Shanghai Chest Hospital, officially known as Shanghai Chest Hospital Affiliated to Shanghai Jiao Tong University, is a prominent medical institution in Shanghai, China. It specializes in diseases related to the chest, particularly pulmonary and cardiovascular conditions. The hospital is recognized for its expertise in thoracic surgery, respiratory medicine, and related fields. As a teaching hospital, it is affiliated with Shanghai Jiao Tong University, which allows it to play a significant role in medical education and research.
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.
Shanghai Singapore International School (SSIS) is a private international school located in Shanghai, China. Established in 1996, the school offers an international curriculum primarily based on the Singaporean education system, which is renowned for its rigorous academic standards and emphasis on mathematics and science. SSIS serves students from nursery through to high school, providing a supportive environment for both local and expatriate families. The school is known for its diverse student body, with students from various cultural backgrounds.
St. Ignatius Cathedral, also known as St. Ignatius of Loyola Cathedral, is a prominent Roman Catholic cathedral located in various cities around the world, but it is particularly well-known in places like San Francisco, California, and in other regions where Catholicism has a significant presence. In San Francisco, the cathedral is an important spiritual center for the Jesuit community and was established as part of the Archdiocese of San Francisco.

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