Phrase search is a search technique used in information retrieval systems, such as search engines and databases, to find results that match an exact sequence of words or phrases. When using phrase search, the searcher typically places quotation marks around the desired phrase. For example, searching for "climate change" would return results that contain that exact phrase rather than results that only contain the individual words "climate" and "change" in different contexts.
In geographical terms, a "sound" is a large sea or ocean inlet. It can also refer to a narrow sea or ocean channel between two landmasses. Sounds are typically larger than fjords and are often less sheltered than bays. They are formed through various geological processes, including erosion and glacial activity. Sounds can also serve important ecological and economic functions, acting as habitats for marine life and providing navigation routes for shipping and fishing.
River deltas are landforms that develop at the mouth of a river where it meets a body of water, such as a lake, sea, or ocean. They are created by the accumulation of sediment that is carried downstream by the river's flow and deposited when the river's velocity decreases as it enters a larger body of water. This sediment builds up over time, forming a triangular or fan-shaped area of land.
Chromatic homotopy theory is a branch of algebraic topology that studies stable homotopy groups of spheres and related phenomena through the lens of chromatic filtration. It originated from attempts to better understand the relationship between stable homotopy theory and complex-oriented cohomology theories, particularly in the context of the stable homotopy category.
An atoll is a ring-shaped coral reef, island, or series of islets that encircle a lagoon either partially or completely. Atolls are typically formed from the growth of coral reefs around the rim of submerged volcanic islands. Over time, as the volcanic island erodes and sinks, the coral continues to grow upward, maintaining its structure and forming an atoll.
"Baïne" can refer to a few different concepts depending on the context, but one of the most common meanings pertains to a type of coastal environment, particularly in the context of certain regions in France. In this context, a "baïne" refers to a shallow lagoon or a water body formed by the tide, often found along sandy beaches or estuaries. In another context, "Baïne" might refer to specific geographic locations, attractions, or cultural references.
Cowaramup Bombora, often referred to simply as "Cowaramup," is a well-known surf break located near the town of Cowaramup in Western Australia. It is situated along the southwestern coast, within the popular Margaret River region, which is renowned for its surf culture and stunning natural landscapes. The term "bombora" refers to a submerged reef or sandbank that creates waves, making it a popular spot for surfers.
Cyclic steps refer to a process or series of actions that are repeated in a circular pattern or cycle. This concept can apply to various fields, including mathematics, programming, project management, and scientific processes. Here are a few contexts in which cyclic steps might be relevant: 1. **Algorithms**: In computer science, an algorithm may involve cyclic steps where a loop is executed multiple times until a certain condition is met.
The term "geo" in the context of landforms primarily refers to the study of the Earth's physical features, particularly in terms of their structure, formation, and distribution. It is often associated with geography and geology, where "geo" comes from the Greek word for "Earth." When discussing landforms specifically, "geo" can refer to various physical terrains such as mountains, valleys, plains, rivers, and more.
The term "islet" can refer to several different concepts, depending on the context: 1. **Geographical Feature**: In geography, an islet is a small island, especially one that is uninhabited or has little vegetation. Islets can be found in oceans, seas, lakes, or rivers.
"Tegnue" refers to underwater structures or aggregates that create habitats for marine life, often formed by natural processes such as the accumulation of stones, corals, or other materials. The term is particularly known in the context of the Adriatic Sea, where "tegnue" can describe rocky areas that serve as important ecosystems for various fish and invertebrate species. These structures provide shelter, breeding grounds, and feeding areas, contributing to biodiversity in marine environments.
Nonabelian cohomology is a branch of mathematics that studies the cohomological properties of nonabelian structures, particularly in the context of group theory and algebraic geometry. It generalizes classical cohomology theories to contexts where the groups involved do not necessarily obey the commutative property, hence the term "nonabelian.
"Ria" can refer to different things depending on the context: 1. **Geographical Feature**: In geography, a ria is a body of water that floods a river valley. It typically forms as sea levels rise and water submerges the lower parts of a river system, creating a long, narrow inlet. Rias are often characterized by steep, rocky shores and are found in areas where there are significant tidal ranges.
Spiral hashing is a technique particularly used in the context of data structures and computer science for efficiently accessing or storing data in a spiral-shaped manner. While there is no standardized definition exclusively known as "spiral hashing," the concept may refer to approaches that involve spiraling layouts, particularly in multidimensional arrays or matrices. In the context of multidimensional data storage, spiral hashing could allow for optimization when accessing elements in a two-dimensional array by iterating through array indices in a spiral order.
In geographical terms, a "sound" is a large sea or ocean inlet that is typically deeper than a bay and is often characterized by its narrowness. Sounds can be formed by various geological processes, including the flooding of river valleys or the tectonic movement of land. They can separate islands from the mainland or connect inland bodies of water to the ocean. Sounds are significant for various reasons, including their role in navigation, marine ecosystems, and as locations for human settlements and activities.
An undersea mountain range, or mid-ocean ridge, refers to a series of underwater mountains formed by tectonic plate movements and volcanic activity along divergent plate boundaries. These ranges are typically characterized by a continuous ridge of underwater volcanoes and are often shaped by the process of seafloor spreading, where magma rises from the mantle to create new oceanic crust.
Gelfand–Fuks cohomology is a concept in the field of mathematics that arises from the study of infinite-dimensional Lie algebras and their representations. It provides a powerful tool for analyzing and understanding the structure of these algebras, particularly in the context of the theory of differential operators and the geometry of manifolds. The cohomology theory was developed by Israel Gelfand and Sergei Fuks in the 1960s.
BRST quantization is a formalism used in the field of quantum field theory to handle systems with gauge symmetries. It is named after the physicists Bonora, Reisz, Sirlin, and Tyutin, who contributed to its development. BRST stands for Becchi-Rouet-Stora-Tyutin, referring to the key researchers who formulated the method. The motivation for BRST quantization arises from the challenges associated with quantizing gauge theories.
Chattering teeth typically refer to a playful or humorous depiction of teeth that may shake or clatter together, often associated with cold temperatures, fear, or excitement. In popular culture, chattering teeth are often illustrated in cartoons or toys, such as the famous "chattering teeth" toy that resembles a pair of dentures that move rhythmically when activated.
Cohomology theories are mathematical frameworks used in algebraic topology, algebraic geometry, and other areas to study the properties of topological spaces and algebraic structures. Here’s a list of notable cohomology theories, each with unique properties and applications: 1. **Singular Cohomology**: The most fundamental cohomology theory for topological spaces, using singular simplices. It is defined for any topological space and provides multiplicative structures.

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