"Swathe" can refer to a few different concepts depending on the context: 1. **General Definition**: As a noun, a "swathe" is a strip or path cut through a field or area, often referring to the area that has been mowed or harvested. It can also mean a broad, sweeping area or a band of something.
Eurocode 4, officially known as EN 1994, is a European standard that provides guidelines for the design of composite structures made of steel and concrete. It is part of the Eurocodes, which are a set of harmonized technical rules for the design of buildings and civil engineering works across Europe. The Eurocodes aim to improve safety, sustainability, and efficiency in construction while facilitating trade and reducing costs. **Key aspects of Eurocode 4 include:** 1.
In the context of reinforced concrete, "anchorage" refers to the method of securing or fixing the reinforcement bars (rebar) to ensure they properly develop their intended strength and load-carrying capacity. Effective anchorage is crucial for the structural integrity of reinforced concrete elements, as it helps transfer loads between the concrete and the steel reinforcement, preventing failure.
A waffle slab is a type of reinforced concrete floor system characterized by a grid-like pattern of beams and slabs. This system is composed of thin, concrete slabs that have a series of ribs or beams cast into them in both directions, forming a waffle-like appearance. The ribs are typically spaced apart and add structural strength while also reducing the amount of concrete used, making the system more economical.
Fang Lizhi was a prominent Chinese astrophysicist and political dissident, known for his advocacy of democracy and human rights in China. Born on February 12, 1936, in the city of Hefei, Anhui Province, he became a well-respected scientist, earning recognition for his work in astrophysics.
B-admissible representation is a concept in the realm of representation theory, particularly in the study of p-adic groups and their representations. The notion arises in the context of understanding how representations of a given group can be analyzed through the properties of certain subgroups. In more formal terms, let \( G \) be a p-adic group, and let \( B \) be a Borel subgroup of \( G \).
Mobile mapping refers to the process of collecting geospatial data using a mobile platform equipped with various sensors and technologies, such as cameras, LiDAR (Light Detection and Ranging), GPS (Global Positioning System), and other data-gathering devices. This approach allows for the rapid and efficient collection of spatial information over large areas, often while the mobile platform is in motion.
SEBAL stands for Surface Energy Balance Algorithm for Land. It is a remote sensing technique used to estimate evapotranspiration and other surface energy fluxes from satellite imagery, particularly for agricultural and natural landscapes. SEBAL works by analyzing the energy balance at the land surface and utilizes various spectral bands from satellite images to derive information about land surface temperature, vegetation indices, and albedo.
The Apel Codex, also known as the "Codex Apel," is a significant manuscript in the field of medieval studies and art history. It is a collection of illuminated texts, primarily focused on religious topics, created in the late medieval period. Renowned for its intricate illustrations and decorative elements, the codex serves as an important artifact for understanding the cultural and artistic practices of the time.
The Fitzwilliam Virginal Book is a significant and large collection of English keyboard music from the late 16th and early 17th centuries. Compiled in the early 17th century, it is named after the Fitzwilliam Museum in Cambridge, England, where it is housed.
Fontaine's period rings are a concept in the field of arithmetic geometry and number theory, specifically related to p-adic Hodge theory. They were introduced by Pierre Fontaine in the context of understanding the relationships between different types of cohomology theories, particularly for p-adic representations of the absolute Galois group of a p-adic field. More concretely, Fontaine's period rings provide a framework for studying p-adic Galois representations and their associated periods.
The Frobenius–Schur indicator is a concept from representation theory, particularly concerning finite groups and their representations. It provides a way to classify irreducible representations of a finite group with respect to their behavior under certain types of symmetry. In more specific terms, the Frobenius–Schur indicator is defined for an irreducible representation of a finite group \( G \) over a field \( K \) (typically, the complex numbers).
Molien's formula is a result in invariant theory that provides a way to calculate the generating function of the dimensions of the spaces of invariants of polynomial functions under the action of a group. Specifically, it can be used to find the generating function for the dimensions of the invariant polynomials under the action of a linear group.
In the context of representation theory, particularly in the study of Lie algebras and Lie groups, the term "weight" refers to a specific type of character associated with a representation. ### Key Points about Weights: 1. **Representation of a Lie Algebra**: A representation of a Lie algebra \( \mathfrak{g} \) on a vector space \( V \) involves a linear action of the algebra on \( V \).
The French aviso Talisman was a naval vessel that served in the French Navy during the 19th century. Avisos were typically smaller, fast ships used for various purposes, including reconnaissance, dispatch duties, and light war operations. The Talisman was launched in the mid-1800s and played a role in colonial expeditions and other military endeavors of the time.
Gamboge is a deep yellow to brown resin obtained from the juice of several species of trees belonging to the genus *Homalomena* and * Garcinia*, particularly *Garcinia hanburyi*. The resin has been used for centuries in various applications, including art, medicine, and traditional practices. In art, gamboge is prized as a pigment due to its vibrant yellow color and transparency. Historically, it has been used in watercolors and oil paints.
Resin is a sticky, flammable organic substance that is typically secreted by plants, especially trees. It is composed mainly of terpenes and other organic compounds. Resins are used by plants as a defense mechanism against injury and pathogens, as they can seal wounds and deter herbivores. In addition to its natural occurrence, resin has many industrial applications.
In the context of the Semantic Web, a *metaclass* is a concept that pertains to the model of classes and types in knowledge representation frameworks, particularly in ontology languages such as OWL (Web Ontology Language) and RDF Schema (RDFS). ### Key Points about Metaclasses: 1. **Definition**: A metaclass is a class whose instances are classes themselves. This is analogous to how a class in object-oriented programming defines the structure and behavior of its instances.
Rewrite order refers to the sequence in which rewrite rules or transformations are applied in a rewriting system, such as in programming languages, formal grammars, or systems that involve symbolic computation. This concept is particularly important in contexts like: 1. **Compilers and Interpreters**: When optimizing code, the order in which different rewriting rules are applied can affect the final output and performance of the program.
Epizeuxis is a rhetorical device that involves the repetition of a word or phrase in immediate succession for emphasis. This technique is often used to create a dramatic effect, highlight a particular idea, or convey strong emotions. For example, in the phrase "Never, never, never give up," the repetition of "never" emphasizes the determination and urgency of the message. It's a form of repetition that can enhance the emotional impact of speech or writing.

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