A rhombicosidodecahedral prism is a three-dimensional geometric solid formed by extending the two-dimensional shape of a rhombicosidodecahedron vertically along a third axis, creating a prism. To break this down a bit: 1. **Rhombicosidodecahedron**: This is one of the Archimedean solids and is characterized by its 62 faces: 20 regular triangles, 30 squares, and 12 regular pentagons.
KCNF1, or "Potassium voltage-gated channel subfamily F member 1," is a gene that encodes a protein that forms a potassium ion channel in cell membranes. These channels play a crucial role in the electrical excitability of cells, including neurons and muscle cells, by controlling the flow of potassium ions (K+) across the cell membrane, which is essential for various physiological processes such as maintaining resting membrane potential, repolarization of action potentials, and overall cellular signaling.
The Klein quadric, also known as the Klein surface, is a remarkable geometric object in the field of algebraic geometry and topology. It is represented as a certain kind of algebraic variety, specifically a projective quadric surface in projective 3-space.
A shock diamond, also known as a shock collar or Mach diamond, is a phenomenon that occurs in supersonic flows when a jet, such as that from a rocket engine, exhausts gases at a speed greater than the speed of sound into the surrounding air. This results in a series of shock waves that form a diamond-shaped pattern when viewed from specific angles. In essence, the shock diamond is a visual representation of the pressure changes in the flow surrounding the jet.
A buffer zone is a designated area that serves to separate and provide a protective space between two or more different entities, often to reduce conflict, manage interactions, or provide safety. These zones can be found in various contexts: 1. **Environmental Context**: In ecology and environmental management, buffer zones refer to areas surrounding natural resources, such as forests, rivers, or wetlands, which help protect them from human activities or pollution.
A demarcation line is a boundary that serves to separate two areas, regions, or territories. In a variety of contexts, it can refer to: 1. **Geopolitical Borders:** In international relations, a demarcation line often delineates the borders between countries or territories. This can be based on treaties or agreements to clarify where one state's jurisdiction ends and another's begins.
The Mars Exploration Ice Mapper is a proposed mission conceptualized to explore and map the distribution of water ice on Mars, particularly in the polar regions and within the shallow subsurface. The mission would aim to use advanced remote sensing techniques to locate and characterize ice deposits, which are crucial for understanding the planet's geology, climate history, and potential for past or present life.
TigerGraph is a graph database and analytics platform designed to handle large-scale data and complex queries with high performance. Unlike traditional relational databases that use tables to organize data, TigerGraph organizes data in a graph format, which allows for more flexible and efficient representation of connected data. It excels at handling relationships and connections between data points, making it suitable for applications involving social networks, recommendation systems, fraud detection, and more.
LCF notation refers to a system of notation used in the context of musical pitch, particularly in the specification of chord symbols. LCF stands for "Local Chord Function." It is a way of notating the harmonic functions of chords within a given key context, often used in music theory and analysis.
The term "bipolar orientation" typically refers to a sexual or romantic orientation characterized by attraction to individuals of two or more genders. However, it's important to clarify that the more commonly used term for this orientation is "bisexual." Bisexuality encompasses a range of experiences and identities, and individuals may identify as bisexual in different ways, reflecting their unique attractions and experiences.
The term "peripheral cycle" can refer to different concepts depending on the context in which it is used. Here are a couple of possible interpretations: 1. **Peripheral Cycle in Finance**: In finance, a "peripheral cycle" might refer to the cyclical movements in the economic performance of peripheral economies, particularly those that are not at the center of global financial markets.
"Erdős on Graphs" typically refers to the collection of works and contributions made by the famous Hungarian mathematician Paul Erdős in the field of graph theory. Erdős is known for his prolific output and collaborations, having published thousands of papers, many of which have shaped the development of various areas in mathematics, including combinatorics and graph theory.
The Voorhoeve index is a measure used in health economics and decision analysis to evaluate the efficiency of health interventions by comparing the cost-effectiveness ratios of different health care options. Originally developed by the Dutch economist Jan Voorhoeve, it allows for the prioritization of health interventions based on their ability to improve health outcomes per unit of cost.
The **domain** of a function is the set of all possible input values (or "arguments") for which the function is defined. In other words, it includes all the values you can use as inputs without causing any mathematical inconsistencies, such as division by zero or taking the square root of a negative number.
A **local diffeomorphism** is a mathematical concept from differential geometry that describes a type of smooth map between two differentiable manifolds (or smooth manifolds).
Borchers algebra refers to a mathematical framework introduced by Daniel Borchers in the context of quantum field theory. It arises notably in the study of algebraic quantum field theory (AQFT), where the focus is on the algebraic structures that underpin quantum fields and their interactions. In Borchers algebra, one typically deals with specific types of algebras constructed from the observables of a quantum field theory. These observables are collections of operators associated with physical measurements.
The Pansu derivative is a concept from the field of geometric measure theory and analysis on metric spaces, particularly related to the study of Lipschitz maps and differentiability in the context of differentiable structures on metric spaces. It is named after Pierre Pansu, who introduced the idea while investigating the behavior of Lipschitz functions on certain types of spaces, especially in relation to their geometry.
Andreas Seeger can refer to different individuals or contexts depending on the area of discussion. Without specific context, it's challenging to pinpoint exactly who you are referring to. 1. **Academia**: There may be academics or researchers with the name Andreas Seeger who have made contributions to their respective fields. 2. **Sports**: There could be athletes or coaches with that name. 3. **Popular Culture**: It could also refer to a public figure or celebrity.
Isaac Jacob Schoenberg (1915–2006) was a notable mathematician known primarily for his work in the fields of functional analysis and numerical analysis. He made significant contributions to applied mathematics, particularly in the areas of interpolation and approximation theory. Schoenberg is often recognized for his development of the so-called Schoenberg splines. In addition, Schoenberg's work extended to various applications in engineering and numerical methods, which have had a lasting impact on the field.
Jean Delsarte (1811–1871) was a French musician, actor, and teacher, best known for his work in the field of expressive movement and gesture, which has had a lasting influence on the performing arts, particularly in acting and dance. He developed a system of physical expression that aimed to convey emotions and character through body language, gestures, and posture.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





