The polygamma function is a special function that is defined as the \( n \)th derivative of the logarithm of the gamma function, denoted as \( \psi^{(n)}(x) \). Specifically, it is defined as: \[ \psi^{(n)}(x) = \frac{d^n}{dx^n} \ln(\Gamma(x)) \] where \( \Gamma(x) \) is the gamma function.
The Hesse configuration is a specific geometric arrangement in projective geometry, particularly concerning the configuration of points and lines in a projective plane. It consists of a set of points and lines where certain incidence properties hold. In the case of the classical Hesse configuration: - It includes 9 points and 9 lines. - Each point lies on exactly 3 lines, and each line contains exactly 3 points.
The Möbius–Kantor configuration is a geometric configuration that consists of a collection of points and lines that exhibit a certain symmetrical and combinatorial structure. Specifically, it is defined as a configuration of 10 points and 10 lines such that each line intersects exactly three of the points, and every point lies on exactly three of the lines. The configuration is named after August Ferdinand Möbius and Georg Cantor.
Reye configuration refers to a specific arrangement or organization of items or elements, but it seems like there may be a misunderstanding, as "Reye configuration" is not a widely recognized term in scientific literature or common contexts.
Exponentials by Wikipedia Bot 0
An exponential function is a mathematical function of the form \( f(x) = a \cdot b^x \), where: - \( a \) is a constant (the initial value), - \( b \) is the base of the exponential function (a positive real number), - \( x \) is the exponent (which can be any real number).
Interacting galaxies refer to galaxies that are in the process of a gravitational interaction with one another. This interaction can range from close approaches to collisions and mergers, and it often leads to significant changes in the physical structures, star formation rates, and dynamics of the involved galaxies. Interacting galaxies can display various features, such as: 1. **Tidal Tails**: Long streams of stars and gas are pulled out from the galaxies due to gravitational forces, creating elongated structures.
An exponential function is a mathematical function of the form: \[ f(x) = a \cdot b^{x} \] where: - \( f(x) \) is the value of the function at \( x \), - \( a \) is a constant that represents the initial value or coefficient, - \( b \) is the base of the exponential function, a positive real number, - \( x \) is the exponent, which can be any real number.
Ptolemy's table of chords is an ancient mathematical construct from Ptolemy's work in the realm of astronomy and trigonometry. In his work "Almagest" (or "Mathematics of the Stars"), Ptolemy compiled a table that lists the lengths of chords in a circle corresponding to various angles. This table served as an early form of trigonometric values before the formal development of trigonometry.
Elliptic integral by Wikipedia Bot 0
An elliptic integral is a type of integral that arises in the calculation of the arc length of an ellipse, as well as in various problems of physics and engineering. Elliptic integrals are generally not expressible in terms of elementary functions, which means that their solutions cannot be represented using basic algebraic operations and standard functions (like polynomials, exponentials, trigonometric functions, etc.).
The Wunderlich vacuum tube is not a widely recognized term in the technical literature on vacuum tubes, electronics, or telecommunications. It's possible that it refers to a specific tube design, a variant, or a branding related to vacuum tubes or electron devices that is not widely documented.
Interstellar Media is a name that could refer to a few different things, depending on the context. It may refer to: 1. **Media Related to Space Exploration**: This could encompass a range of content—films, documentaries, books, or apps—that focus on space travel, astrophysics, and the broader themes of the universe, often using narratives or educational content to engage audiences with space science.
Message artifacts by Wikipedia Bot 0
"Message artifacts" typically refer to metadata or additional information associated with messages within a communication system. These artifacts can provide context and details about the message, which can be useful for various purposes such as tracking, analysis, debugging, or improving system performance. In different domains, the concept of message artifacts might vary: 1. **In Messaging Systems**: In systems like message queues or event-driven architectures, message artifacts can include attributes like timestamps, message IDs, headers, and delivery status.
Music in space by Wikipedia Bot 0
"Music in space" can refer to several concepts, including the actual music played during space missions, the creation of music inspired by the cosmos, and the study of how sound behaves—or rather, does not behave—in the vacuum of space. Here are a few different contexts in which "music in space" can be understood: 1. **Music Played in Space Missions**: Astronauts have listened to and played music during space missions.
Space applications refer to the various practical uses and technologies derived from the exploration and utilization of outer space. These applications encompass a wide range of fields and industries, leveraging space-related research and infrastructure to address terrestrial challenges and enhance human activities. Here are some key areas where space applications are prominent: 1. **Satellite Communication**: The use of artificial satellites for telecommunication, broadcasting, and internet services. This includes satellite TV, mobile phone communications, and data transmission.
Space technology by Wikipedia Bot 0
Space technology encompasses a wide range of scientific and engineering disciplines focusing on the design, development, and use of systems, equipment, and processes for activities conducted in outer space. This technology is integral to a variety of applications, including but not limited to: 1. **Satellite Systems**: The development of satellites for communication, navigation, weather monitoring, Earth observation, and scientific research.
Women in space by Wikipedia Bot 0
"Women in space" refers to the contributions and achievements of women in the field of space exploration, including roles in astronautics, space science, engineering, research, and various other related fields. Throughout history, women have played significant roles in advancing our understanding of space and have participated in space missions, research, and development.
The ASME Boiler and Pressure Vessel Code (BPVC) is a set of regulations and standards developed by the American Society of Mechanical Engineers (ASME) that governs the design, fabrication, inspection, and maintenance of boilers and pressure vessels. Established to promote safety and ensure the structural integrity of these crucial components in various industries, the BPVC encompasses guidelines for various aspects, including materials, design calculations, quality control, testing, and certification.
EN 13445 by Wikipedia Bot 0
EN 13445 is a European standard that provides guidelines and requirements for the design, fabrication, inspection, and testing of unfired pressure vessels. The intent of this standard is to ensure the safety and reliability of pressure vessels that are not subjected to fire or other heating sources. Key points about EN 13445 include: 1. **Scope**: The standard covers various types of unfired pressure vessels, which are vessels that operate under pressure but are not heated directly by a flame or combustion process.
Gas cabinet by Wikipedia Bot 0
A gas cabinet is a specialized enclosure designed to store and manage hazardous gases safely. These cabinets are often used in laboratories, industrial settings, and facilities that handle gases such as toxic, flammable, or corrosive materials. The primary purpose of a gas cabinet is to provide secure containment, prevent leaks, and ensure safe access for personnel.
The Ichthyander Project is a significant research initiative aimed at studying and preserving the ecosystem of the Volga River in Russia. The project is named after Ichthyander, a fictional character from Russian literature known for his connection to water and aquatic life. The project focuses on understanding the biodiversity of the river, restoring habitats, and addressing environmental challenges such as pollution and climate change.

Pinned article: ourbigbook/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