The continental shelf is a submerged extension of a continent, characterized by shallow waters surrounding the coast. It generally extends from the shoreline to the continental slope, where the seabed drops off to deeper oceanic depths. The continental shelf typically has a gentle slope and is rich in marine resources, including fish, oil, gas, and minerals.
The Continuous Plankton Recorder (CPR) is a vital tool used in marine biology and oceanography to study plankton populations in the ocean. Originally developed in the 1930s by the Sir Alister Hardy Foundation for Ocean Science (SAHFOS) in the UK, the CPR is designed to collect plankton samples while deployed on ships that traverse the oceans. The CPR consists of a large, box-like instrument that flows through the water as it is towed behind a ship.
Gheorghe Vrănceanu (1895–1984) was a prominent Romanian mathematician known for his contributions to functional analysis and topology. His work has had a lasting impact on these fields, and he is recognized for his research in various mathematical concepts.
An Artin–Schreier curve is a type of algebraic curve defined over a finite field, and it arises in the context of Artin–Schreier theory, which deals with extensions of fields of characteristic \( p > 0 \).
Classical modular curves are geometric objects that arise in the study of modular forms and elliptic curves in number theory. Simply put, they are Riemann surfaces or algebraic curves that parametrize elliptic curves endowed with additional structure, specifically involving modular forms. ### Key Features: 1. **Parameterized Elliptic Curves**: Modular curves classify elliptic curves over the complex numbers. They can often be described as quotients of the upper half-plane by the action of modular groups.
De Franchis's theorem is a result in complex analysis that pertains to the geometry of holomorphic (and meromorphic) functions. Specifically, it deals with the properties of holomorphic curves, especially in the context of a complex projective space.
The term "hippopede" does not appear to be widely recognized or defined in contemporary literature or common usage as of my last update in October 2023. It's possible that "hippopede" could refer to a variety of things, depending on the context, such as a misspelling, a specialized term in a niche field, or a fictional concept from a particular story or work.
The Kappa curve is a graphical representation used to evaluate the performance of classification models, particularly in the context of binary or categorical outcomes. It is often used in conjunction with Cohen's Kappa statistic, which quantifies the agreement between two raters or classifiers beyond what would be expected by chance. ### Key Components of the Kappa Curve: 1. **Cohen's Kappa Statistic**: This is a measure of inter-rater agreement for categorical items.
The term "normal degree" could refer to different concepts depending on the context. Here are a few possible interpretations: 1. **In Mathematics**: In the context of polynomial functions, the "degree" of a polynomial is the highest power of the variable in the polynomial expression. A "normal degree" in this case can mean the typical or expected degrees of polynomials in a specific area of study.
Quantum clock models are theoretical frameworks used to describe the concept of time in quantum mechanics. These models aim to reconcile the classical notion of time with the principles of quantum theory, which can behave quite differently from classical physics. Here are some key points related to quantum clock models: 1. **Quantum Mechanics and Time**: In classical physics, time is usually treated as a continuous variable that flows in a linear manner.
Cosmic wind refers to the streams of charged particles released from celestial bodies into space, particularly from stars, including our sun. The most notable example of cosmic wind is the solar wind, which consists of a flow of electrons, protons, and other ions emitted from the upper atmosphere of the sun. This solar wind interacts with planetary atmospheres, magnetic fields, and celestial objects, influencing space weather and the conditions in the solar system.
Giampietro Puppi is a name that does not refer to a widely known public figure or concept based on the information available up until October 2023. It could be a private individual or someone not in the public domain.
Cortical deafness is a type of hearing impairment that occurs due to damage to the auditory cortex in the brain, which is responsible for processing auditory information. Unlike peripheral hearing loss, which arises from issues in the ear or auditory pathways, cortical deafness involves a disruption in the brain's ability to interpret sounds, even though the auditory pathways may be intact.
A quantum groupoid is a mathematical structure that generalizes both groups and groupoids within the framework of quantum algebra. It combines aspects of noncommutative geometry and the theory of quantum groups. To unpack this concept, let's first define some relevant terms: 1. **Groupoid**: A groupoid is a category where every morphism (arrow) is invertible.
In mechanics, a couple refers to a system of forces that consists of two equal forces acting in opposite directions on an object, but not along the same line. This arrangement creates a rotational effect or torque on the object without producing any net force that would translate it linearly. The forces in a couple are often described in terms of their magnitude and the distance between the lines of action of the forces, known as the "moment arm.
The Enriques–Kodaira classification is a fundamental classification scheme in the field of algebraic geometry that categorizes compact complex surfaces based on their geometric properties. It was developed by the mathematicians Francesco Enriques and Katsumi Kodaira. The classification divides compact complex surfaces into several types, primarily based on their topological and geometric characteristics, particularly their canonical bundles.

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