The vorticity equation is a fundamental equation in fluid dynamics that describes the evolution of vorticity in a fluid flow. Vorticity, which is a vector field, represents the tendency of fluid elements to rotate and is mathematically defined as the curl of the velocity field. In incompressible and inviscid flow (i.e.
The term "flash cut" can have different meanings depending on the context in which it is used. Here are a few interpretations: 1. **Film and Video Editing**: In editing, a "flash cut" refers to a sudden or abrupt transition between scenes or shots. This technique can create a jarring effect, drawing the viewer's attention or emphasizing a change in mood or narrative. It contrasts with more gradual editing transitions, such as crossfades or dissolve cuts.
Superheating is a process in which a liquid is heated to a temperature above its boiling point without it actually boiling. This phenomenon occurs under certain conditions where the liquid is kept in a stable state, often due to the absence of nucleation sites or impurities that would facilitate the formation of bubbles. In practical applications, superheating is commonly observed in heating water or other liquids in a microwave.
Edison Studios was an early film studio located in the Bronx, New York, founded by Thomas Edison and his business associates in 1896. It was one of the first studios dedicated to producing motion pictures. Edison Studios played a crucial role in the development of the American film industry during the silent film era, producing a variety of shorts, including comedies, dramatic works, and early narratives.
Tidal bores are natural phenomena that occur in certain rivers and estuaries where a strong incoming tide creates a single wave or a series of waves that travel upstream against the river's current. This event happens when the tidal range is significant, and the shape of the river channel allows for the rapid accumulation of water.
"Storm Track" can refer to several different contexts, but it generally relates to the monitoring and forecasting of weather patterns, particularly severe weather events like hurricanes, tornadoes, or winter storms. Here are a few possible interpretations: 1. **Meteorology**: In meteorological terms, a storm track indicates the path that a storm system is expected to follow as it moves through a particular area.
A tornado is a rapidly rotating column of air that extends from a thunderstorm to the ground. Tornadoes are known for their violent winds and can cause significant destruction. They typically form in severe thunderstorms, particularly supercell thunderstorms, and are characterized by a funnel shape that can vary in size. Key features of tornadoes include: 1. **Formation**: Tornadoes often develop in conditions where warm, moist air at the surface meets cooler, drier air aloft.
Median cut is a popular algorithm used primarily in image quantization and color reduction. The goal of the median cut algorithm is to reduce the number of colors in an image while trying to preserve the visual quality as much as possible. The basic idea is to partition the color space into smaller regions and then select representative colors from these regions to create a palette of colors that approximate the original image.
Forming gas is a gas mixture that primarily consists of hydrogen and nitrogen, typically composed of about 95% hydrogen and 5% nitrogen. It is often used in various industrial applications, particularly in metalworking and welding processes. The main purposes of forming gas include: 1. **Reducing Agent**: Forming gas can serve as a reducing agent in reactions where metals are produced or processed, helping to prevent oxidation and improve the quality of the final product.
A weld pool refers to the molten metal pool that forms during the welding process at the joint between two workpieces. When heat is applied (via welding techniques such as MIG, TIG, or arc welding), it melts the base materials and the filler metal (if used), creating a liquid pool. Key characteristics of the weld pool include: 1. **Temperature**: The weld pool reaches extremely high temperatures, allowing the materials to melt and fuse together.
Strand sort is a comparison-based sorting algorithm that uses a non-comparative and non-recursive approach. It works by repeatedly extracting "strands" from the input sequence, which are sorted subsequences of the original list. The main idea is to build a new sorted list by taking out these sorted parts (strands) and merging them together. Here's a concise description of how Strand sort works: 1. **Initialization**: Start with an unsorted list of elements.
Kerstin Fredga is a notable Swedish biologist and a professor known for her work in evolutionary biology, genetics, and ecology. She has made significant contributions to the understanding of population genetics and has been involved in research related to biodiversity and conservation. Fredga has also been an influential figure in promoting science education and research in Sweden.
Jade Raymond is a prominent video game producer and executive known for her work in the gaming industry. She gained significant recognition as a producer for the Assassin's Creed series at Ubisoft, where she played a key role in developing the franchise. Raymond co-founded Ubisoft Toronto and served as its managing director. In 2019, she co-founded a new game studio called Haven Studios, which focuses on developing new gaming experiences.
The Hurwitz zeta function is a generalization of the Riemann zeta function and is defined for complex numbers. It is denoted as \(\zeta(s, a)\), where \(s\) and \(a\) are complex numbers, with \(a > 0\) and typically \(s\) being complex with a real part greater than 1.
A star system, also known as a stellar system, is a group of celestial bodies that are gravitationally bound to a central star or stars. This can include various objects like planets, moons, asteroids, comets, and meteoroids. Star systems can range from single-star systems, like our Solar System centered around the Sun, to multiple-star systems, which can contain two or more stars orbiting each other.
A tetrad, in the context of areas or regions, typically refers to a set of four units or components that are grouped together for a particular purpose. However, the term "tetrad" can have different meanings depending on the context in which it is used: 1. **Biology**: In biology, a tetrad is often associated with the process of meiosis, where it refers to a group of four chromatids that form during the first division of meiosis.
The "kan" is a traditional unit of measurement originating from East Asia, particularly Japan and China. In Japan, the term "kan" (貫) has historically been used to refer to both weight and volume measurements. 1. **Weight**: In terms of weight, one kan is approximately equal to 3.75 kilograms (or about 8.25 pounds). This usage was prevalent in historical contexts and has its roots in the trading of goods.
Dose rate refers to the amount of radiation absorbed by an individual or an object per unit of time. It is typically expressed in units such as grays per hour (Gy/h), rads per hour (rad/h), or sieverts per hour (Sv/h), depending on the context and the type of radiation being measured. In the context of radiation exposure, the dose rate is an important factor in assessing the potential biological effects of radiation on human health or the environment.
A cubic ton is a unit of volume that is sometimes used in the shipping and transportation industries to measure the space occupied by bulk goods. It's important to note that it is not a standard unit like a cubic meter or a cubic foot. In practical terms, a cubic ton is typically defined as the volume that one ton (2,000 pounds in the United States) of a standard material (usually water or another commonly shipped substance) would occupy.
A cubic centimetre (cm³ or cc) is a unit of volume that is commonly used in the metric system. It is defined as the volume of a cube that has sides measuring one centimetre in length. 1 cubic centimetre is equivalent to: - 1 millilitre (mL) - \(10^{-6}\) cubic metres (m³) - Approximately 0.

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