The Gulf of Corryvreckan, often referred to simply as Corryvreckan, is a strait located between the islands of Jura and Scarba in the Hebrides off the west coast of Scotland. It is famous for its powerful and turbulent whirlpool, which is one of the largest in the world. The whirlpool is caused by the tidal currents that flow through the narrow and shallow strait; these currents can create extremely rough and unpredictable waters, particularly during spring tides.
Gustav Bergmann (1887–1987) was an Austrian-American philosopher known for his work in the fields of philosophy of science and philosophy of mind. He was a significant figure in the development of logical positivism and played a role in the Vienna Circle, a group of philosophers and scientists advocating for a scientific approach to philosophical problems. Bergmann's contributions include his analyses of the nature of perception, reality, and the structure of scientific theories.
A gyroelongated bipyramid is a type of polyhedron that can be classified as a member of the elongated bipyramid family. It is constructed by taking a bipyramid, which consists of two identical pyramids with their bases joined at a point, and elongating it by inserting two additional parallel faces between the bases.
Budan's theorem is a result in algebra that provides a method for determining the number of real roots of a polynomial within a specific interval. Specifically, it relates to the evaluation of the signs of the polynomial and its derivatives at the endpoints of the interval. The theorem can be stated as follows: 1. Consider a polynomial \( P(x) \) of degree \( n \) and its derivative \( P'(x) \).
A gyroelongated pentagonal pyramid is a specific type of polyhedron that belongs to the category of dual polyhedra. It can be described as a combination of a pentagonal pyramid and a prism. ### Basic Properties: - **Faces**: It has a total of 12 faces: 1 pentagonal base, 5 triangular lateral faces (from the pyramid), and 6 rectangular faces (from the prism part).
A gyroelongated square pyramid is a type of geometric solid that can be categorized as a part of the broader family of pyramids and polyhedra. It is defined as an elongated variant of a square pyramid. ### Characteristics: 1. **Base**: The base is a square. 2. **Apex**: There is one apex (the top point) that connects to the vertices of the base.
The Hadron Production Experiment (HAP) is typically related to experimental physics involving the production and study of hadrons, which are subatomic particles made up of quarks and participate in strong interactions. Hadrons include baryons (such as protons and neutrons) and mesons. While there may be several specific experiments titled or related to hadron production, many of them are conducted within high-energy particle physics contexts.
Haim Gaifman is a prominent figure in the field of mathematics and philosophy, particularly known for his contributions to areas such as mathematical logic, set theory, and the foundations of mathematics. He has worked on the logical framework of mathematical theories, and his research often intersects with philosophical questions regarding the nature of mathematical truth and the implications of formal systems. Gaifman is also recognized for his work on non-standard models and has contributed to the understanding of the foundations of probability theory and statistics.
The Hales–Jewett theorem is a result in combinatorial geometry, specifically in the field of Ramsey theory. It addresses the existence of certain types of structured configurations in combinatorial objects, such as hypercubes.
The Hall–Littlewood polynomials are a family of symmetric polynomials that play a significant role in various areas of combinatorics, representation theory, and algebraic geometry. They were introduced by Philip Hall and D. E. Littlewood in the mid-20th century as a generalization of the Schur polynomials.
Hamiltonian simulation refers to the use of algorithms to efficiently approximate the time evolution of quantum systems governed by a Hamiltonian, which is a mathematical operator that describes the total energy of a system in quantum mechanics. In simpler terms, a Hamiltonian defines how a quantum system evolves in time.
Handling robots are automated machines designed to manipulate objects and materials in various environments, such as manufacturing, warehousing, and logistics. They are often used for tasks such as picking, placing, packing, sorting, and transporting items. Handling robots can take many forms, including: 1. **Industrial Robots**: Typically used in manufacturing settings, these robots perform repetitive tasks such as assembling, welding, or painting. They usually have articulated arms that can reach different angles and positions.
Aeroelasticity is a field of study that examines the interaction between aerodynamic forces, structural mechanics, and the motion of solid bodies (typically aircraft, bridges, and other structures subjected to airflow). It involves understanding how flexible structures respond to aerodynamic loads, which can lead to phenomena such as vibrations, instability, and changes in shape or position.
The Contract Adjustment Board (CAB) is typically a governmental or administrative body established to review and resolve disputes between contractors and government agencies regarding the terms and execution of contracts. This can include matters such as delays, changes in contract terms, or any disagreements that arise during the performance of a contract.
Constitutional growth delay (CGD) is a variation of normal growth and development seen in children who are otherwise healthy but are experiencing a delay in their growth pattern and puberty. It is characterized by: 1. **Delayed Growth**: Children with CGD typically have a growth pattern that is slower than their peers during childhood but eventually catch up during adolescence.
The constrained generalized inverse is a concept in linear algebra and numerical analysis that extends the idea of the generalized inverse (or pseudo-inverse) of a matrix to situations where certain constraints must be satisfied. It is particularly useful in scenarios where the matrix is not invertible or when we want to find a solution that meets specific criteria. ### Generalized Inverse To understand the constrained generalized inverse, it's helpful to first know what a generalized inverse is.
A Content Management System (CMS) is software that enables users to create, manage, and modify digital content on a website without needing specialized technical knowledge. CMS platforms provide a user-friendly interface that allows non-technical users to easily create and manipulate content, such as text, images, video, and audio. ### Key Features of a CMS: 1. **User-Friendly Interface**: Most CMS platforms come with a graphical user interface that simplifies tasks like adding and editing content.
The Collaborative Computing Project for NMR, often abbreviated as CCPN, is an initiative aimed at providing a collaborative environment for researchers and scientists working with nuclear magnetic resonance (NMR) spectroscopy. NMR is a powerful analytical technique used primarily in chemistry, biochemistry, and structural biology to determine the structure of molecules. CCPN focuses on developing and maintaining software tools that facilitate the analysis, visualization, and interpretation of NMR data.
In mathematics, a **continuant** refers to a specific type of determinant that is used to represent certain kinds of polynomial identities, particularly those related to continued fractions. The concept of a continuant can be seen as a generalization of the determinant of a matrix associated with a sequence of numbers.
In mathematics, particularly in the field of functional analysis and topology, a **continuous linear extension** refers to the process of extending a linear operator (typically a linear functional or a continuous linear map) from a subspace to the entire space while retaining continuity.
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!
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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