The method of continued fractions is a mathematical technique used to represent real numbers as an infinite sequence of fractions, which can be particularly useful in various areas such as number theory, approximation theory, and numerical analysis.
Neutron scattering is a powerful experimental technique used to probe the structure and dynamics of materials at the atomic or molecular level. It involves the scattering of neutrons, which are neutral elementary particles found in the nucleus of atoms. Due to their neutral charge and relatively high mass, neutrons can penetrate deep into matter without causing significant damage, making them ideal for studying a wide variety of materials, including solids, liquids, gases, and complex biological systems.
Equivariant sheaves are a concept in algebraic geometry and representation theory that involve the notion of symmetry with respect to a group action. To understand equivariant sheaves, it's useful to break down the terminology: 1. **Sheaf**: A sheaf is a mathematical tool that captures local data of a space in a consistent global manner.
The Berlin Mathematical School (BMS) is a graduate school dedicated to advancing mathematical education and research. Established as part of the initiatives of the Einstein Foundation Berlin, it aims to provide an interdisciplinary and international environment for students pursuing their Ph.D. in mathematics. The school is a collaboration among several prominent mathematical institutes in Berlin, including the Institute of Mathematics at the Technical University of Berlin, the Institute of Mathematics at the Freie Universität Berlin, and the Institute of Mathematics at the Humboldt University of Berlin.
The Einstein Institute of Mathematics is an academic institution or research center that focuses on various fields of mathematics. It aims to advance mathematical research, education, and collaboration among mathematicians. Such institutes often host seminars, workshops, and conferences, and they may also be involved in publishing research papers and fostering interdisciplinary research.
LEAP Science and Maths Schools is an initiative in South Africa focused on improving the quality of education in science and mathematics for learners, particularly in underprivileged areas. The program aims to provide high-quality education by combining innovative teaching methods with a strong emphasis on these critical subjects. LEAP Schools are designed to create a supportive and stimulating learning environment that fosters academic excellence, leadership, and personal development.
Moscow State University of Economics, Statistics, and Informatics (often referred to as MESI) is a higher education institution in Russia that specializes in economics, statistics, and information technology. Established in 1931, MESI provides courses and programs aimed at preparing specialists in various fields related to economic theory, applied economics, statistics, information systems, and data analysis. The university typically offers undergraduate, graduate, and doctoral programs, with an emphasis on practical skills and research in economics and data processing.
A Mathematical Grammar School typically refers to a type of secondary school that emphasizes mathematics and science in its curriculum. These schools often have rigorous academic programs designed to prepare students for higher education in mathematics, engineering, and related fields. They may attract students with strong mathematical abilities and interests, providing them with advanced coursework, specialized programs, and opportunities for competitions in math and science.
The term "scorewriters" typically refers to music notation software used for composing, arranging, and printing musical scores. Various programs offer different features, interfaces, and tools that cater to different types of users, such as composers, arrangers, educators, and musicians. Here’s a brief comparison of some popular scorewriters, highlighting key aspects and features: ### 1.
Guitar Pro is a popular music notation software designed primarily for guitarists and other musicians. It allows users to create, edit, and play back sheet music and tablature for various instruments, including guitar, bass, drums, and piano. The software is widely used for composing music, learning songs, and sharing musical ideas with others.
A list of discontinued scorewriters typically includes music notation software that was once popular but is no longer supported, received updates, or is actively developed. Some well-known discontinued scorewriters include: 1. **Finale Notepad** - Although Finale itself is still active, Notepad versions have seen less focus and could be considered discontinued in terms of ongoing development. 2. **PrintMusic** - While related to Finale, PrintMusic has been gradually phased out in favor of more advanced products.
MuseScore is a popular open-source music notation software that allows users to create, play, and print sheet music. It provides a user-friendly interface for composing music using traditional notation, making it accessible for musicians, composers, and educators at all skill levels. Key features of MuseScore include: - **Composition Tools**: Users can input notes using a MIDI keyboard, computer keyboard, or mouse.
MusicPrinter Plus is a software application designed for music notation and printing. It allows users to create, edit, and print musical scores. Typically, these types of applications provide a range of features that include staff notation, the ability to add various musical symbols, dynamics, articulation marks, and lyrics. The software may be aimed at musicians, composers, educators, and anyone who needs to create written music, offering an intuitive interface for inputting notes via a mouse, keyboard, or MIDI device.
"Earthquake stubs" typically refer to short or incomplete articles about earthquakes in a wiki or database context (such as Wikipedia). These stubs contain basic information about particular earthquakes but lack detailed descriptions, in-depth analysis, or comprehensive data. The goal for contributors is often to expand these stubs into full articles by adding more research, historical context, impacts, scientific findings, and other relevant details to provide a fuller understanding of each event.
The International Seismological Summary (ISS) is a compilation of seismic data collected from various seismic observatories around the world. It provides a detailed account of earthquake activities, including information about the location, magnitude, depth, and time of seismic events. The ISS serves as an essential resource for seismologists and researchers by offering a comprehensive record of seismic events, which can be useful for analyzing earthquake patterns, understanding tectonic processes, and informing public safety measures.
Evans Hayward is a financial services firm specializing in providing a range of services, including investment management, financial planning, and advisory services. They typically focus on helping clients achieve their financial goals through personalized strategies and investment solutions. The firm may cater to individual investors, families, and possibly institutions, offering expertise based on the specific needs and circumstances of their clients.
ScoreCloud is a music notation software that allows users to create, edit, and share musical scores easily. It is designed to help composers, songwriters, and musicians translate their ideas into written form quickly. One of its standout features is the ability to transcribe music in real time by playing an instrument or singing into a microphone. The software automatically notates the music, making it accessible for users who may not be experts in traditional music notation.
Array Network Facility (ANF) is a specialized service or feature within the context of telecommunications and networking that enables the efficient routing and management of data traffic. It typically involves the use of arrays of network equipment, such as switches, routers, and servers, to optimize the delivery of information across a network. While the specifics of Array Network Facility can vary based on the context or the provider, it generally focuses on enhancing network performance, reliability, and scalability.
The Banana Doughnut Theory is not a widely recognized scientific theory or concept in popular discourse. However, it may refer to a playful or metaphorical way of explaining certain concepts in various fields, such as economics, physics, or social science, using the shapes of a banana and a doughnut to illustrate specific ideas or relationships.
The term "dim spot" can refer to a couple of different contexts, but it often relates to the following: 1. **Lighting and Design**: In interior design or stage lighting, a "dim spot" may refer to an area that is not well-lit or has lower illumination compared to surrounding areas. This can create a particular mood or highlight certain features while downplaying others.

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