A **compact closed category** is a concept from category theory, a branch of mathematics that deals with abstract structures and relationships between them. Compact closed categories provide a framework in which one can model concepts from topology, linear logic, and quantum mechanics, among other fields. Here are some key features and definitions related to compact closed categories: 1. **Categories**: A category consists of objects and morphisms (arrows) between those objects, where morphisms must satisfy certain composition and identity properties.
A talking clock is a device that announces the time audibly, typically using a synthesized voice. These clocks can serve various purposes, including helping individuals who are visually impaired to tell the time, as well as providing a convenient way for anyone to check the time without needing to look at a traditional clock or watch. Talking clocks can come in various forms, such as standalone devices, alarm clocks, or even apps on smartphones.
The Stoppomat is a self-service bike rental system designed to facilitate easy access to bicycles for users, typically in urban areas or popular tourist destinations. It allows individuals to rent bikes for short periods, promoting cycling as a convenient and sustainable mode of transportation. Users can generally access bikes using a mobile app or a smart card, and they can return the bikes at designated rental stations or Stoppomat locations, often equipped with automated docking systems.
A striking clock is a type of clock that not only tells the time but also features a mechanism that produces sound (or 'strikes') to mark the hour or quarter-hour. These sounds are typically produced by hammers striking bells or gongs. Striking clocks can vary in complexity; some might simply strike the hour, while others may offer more intricate chimes or play melodies at specific times. The striking mechanism is often associated with traditional grandfather clocks, wall clocks, and mantel clocks.
The term "butterfly cluster compound" can refer to a specific type of molecular structure observed in coordination chemistry or organometallic chemistry, where a group of metal atoms (often transition metals) forms a cluster with a distinctive geometry that resembles a butterfly. These compounds typically contain a central metal core and are stabilized by ligands that bind to the metal centers.
Metal cluster compounds are coordination complexes that consist of a small number of metal atoms (usually between two and several dozen) bonded together, often surrounded by ligands that stabilize the cluster. These compounds can exhibit unique properties and behaviors that are distinct from those of bulk metals or isolated metal ions. Key characteristics of metal cluster compounds include: 1. **Composition**: They are typically composed of multiple metal atoms, which can be of the same or different elements.
A world clock is a device or display that shows the current time in different time zones around the world. It typically consists of multiple clocks, each representing a different city or region, allowing users to easily compare the time across various locations. World clocks can be found in various forms, including: 1. **Physical Clocks**: These are traditional wall-mounted or desk clocks with multiple clock faces, each designated for a specific time zone.
Carborane acids are a class of extremely strong superacids, known for their unique molecular structure that contains carborane clusters. A carborane itself is a cluster of boron and carbon atoms. Carborane acids are characterized by their ability to donate protons (H⁺ ions) more effectively than traditional acids, making them superacids.
FeMoco, or iron-molybdenum cofactor, is a cluster of iron and molybdenum that is essential for the activity of certain enzymes, specifically nitrogenases. These enzymes play a crucial role in the nitrogen fixation process, which converts atmospheric nitrogen (N₂) into ammonia (NH₃), a form that can be utilized by living organisms.
Atolls are ring-shaped coral reefs, islands, or series of islets that encircle a lagoon either partially or fully. They are formed from the growth of coral reefs around the rim of a submerged volcanic island. Over time, as the volcanic island erodes and sinks, the coral reef continues to grow upward, resulting in the formation of the atoll structure. Atolls are typically characterized by their shallow lagoon waters, rich biodiversity, and beautiful coral formations.
An octahedral cluster refers to a specific geometric arrangement of particles, such as atoms, molecules, or ions, in a three-dimensional space that resembles an octahedron. An octahedron is a polyhedron with eight triangular faces, twelve edges, and six vertices. In chemistry and materials science, octahedral clusters can describe the arrangement of atoms in certain crystal structures or coordination complexes, particularly in transition metal complexes.
A peninsula is a landform that is surrounded by water on three sides but is connected to the mainland on one side. This geographical feature can vary in size, shape, and topography. Some well-known examples of peninsulas include: 1. **Iberian Peninsula** - Home to Spain and Portugal. 2. **Italian Peninsula** - The boot-shaped peninsula that includes Italy. 3. **Florida Peninsula** - A large peninsula in the southeastern United States.
"Seas" can refer to a few different concepts depending on the context: 1. **Geographical Term**: In a geographical context, "seas" are large bodies of saltwater, typically smaller than oceans and partially enclosed by land. Examples include the Mediterranean Sea, the Red Sea, and the Caribbean Sea.
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.

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