The integral length scale is a concept from turbulence and fluid mechanics that characterizes the size of the large-scale eddies in a turbulent flow. It is a measure of the extent over which turbulent fluctuations are correlated. In other words, it provides an estimation of the spatial scale of the largest coherent structures present in a turbulent flow field. Mathematically, the integral length scale \(L\) can be defined using the correlation function of the velocity field in turbulence.
Ionic strength is a measure of the concentration of ions in a solution. It quantifies the total concentration of ions in a solution by taking into account not just the number of ions, but also their charges. This is important in various fields such as chemistry, biology, and environmental science, as it affects various properties of the solution, including solubility, activity coefficients, and reaction kinetics.
In gravitation, several key equations describe the behavior of gravitational forces, fields, and potentials.
AmigaTeX is a typesetting system based on TeX, specifically designed for use on the Amiga personal computer platform. It provides a way to create high-quality documents, including complex mathematical typesetting, by utilizing the powerful capabilities of TeX. AmigaTeX includes various features and tools that make it suitable for users working with the Amiga operating system, such as an integrated editor and support for graphics and font management.
Luminance is a measure of the amount of light that is emitted, reflected, or transmitted from a given surface area in a specific direction. It is a key concept in the fields of photography, optics, and display technology, as it relates to how bright an object appears to the human eye.
Luminous energy refers to the energy carried by light, specifically the portion of electromagnetic radiation that is visible to the human eye. It is associated with the perception of brightness and color in the light spectrum. Luminous energy is often measured in lumens, which quantify the total amount of visible light emitted by a source per unit of time.
Magnetic helicity is a topological property of magnetic fields that characterizes their twist and linkage. In more concrete terms, it is a measure of the complexity of a magnetic field configuration, specifically how "twisted" or "linked" various field lines are with respect to each other.
In physics, the term "measure" can refer to several concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematical Measure**: In a broader sense, a measure in math refers to a systematic way of assigning a number to a subset of a given space, which quantifies its size, volume, area, or probability. In physics, measures can be used to describe physical quantities, such as length, mass, and energy.
Orders of magnitude are a way of comparing the size or scale of different quantities, often using powers of ten. In the context of speed, an order of magnitude indicates how much faster or slower one speed is compared to another, typically expressed as a factor of ten.
Quantum efficiency (QE) is a measure of how effectively a device converts incoming photons (light particles) into electrons or electrical signals. It is commonly used in fields such as photodetectors, solar cells, and imaging sensors to assess their performance. In the context of: 1. **Photodetectors**: Quantum efficiency refers to the ratio of the number of charge carriers (electrons or holes) generated to the number of photons incident on the device.
Specific impulse (often denoted as I_sp) is a measure of the efficiency of rocket propellants. It is defined as the thrust produced per unit weight flow of the propellant, and it is typically expressed in seconds. Specifically, specific impulse indicates how effectively a rocket engine converts propellant into thrust, providing a measure of the engine's performance.
"Metricated units" typically refer to measurements that are expressed using the metric system, which is a decimal-based system of measurement.
Units of amount typically refer to the standardized measurements used to quantify the amount of a substance or material in various contexts. These units can vary depending on the type of measurement being made, such as mass, volume, or quantity of items. Here are some examples: 1. **Mass**: - Grams (g) - Kilograms (kg) - Milligrams (mg) - Pounds (lb) 2.
Photometry is the science of measuring visible light in terms of its perception by the human eye. It involves assessing the intensity, quantity, or distribution of light. The key units of photometry include: 1. **Lumen (lm)**: The unit of luminous flux. It measures the total amount of visible light emitted by a source in one second. 2. **Lux (lx)**: The unit of illuminance, which measures how much luminous flux is spread over a given area.
"Units of quality" can refer to various measures or metrics used to assess the quality of a product, service, or process in different fields. Here are a few interpretations based on context: 1. **Manufacturing and Production**: In manufacturing, units of quality might refer to the number of items produced that meet specific quality standards or defect rates. For example, a company might monitor the number of defective units per thousand produced to assess quality.
The "units of rate" refer to the specific measurements used to express a rate, which is a quantity divided by time or another denominator. Rates are commonly expressed in various forms depending on the context. Here are a few examples: 1. **Speed or Velocity**: The rate of distance traveled over time, typically expressed in units like: - meters per second (m/s) - kilometers per hour (km/h) - miles per hour (mph) 2.
The Darcy is a unit of permeability used in the fields of soil science and petroleum engineering to measure the ability of a material to allow fluids to flow through it. It is named after the French engineer Henry Darcy, who is known for his work on fluid flow through porous media.
Grain per gallon is a measurement used to describe the concentration of a substance, typically a solute, in a liquid solution. It is often used in contexts such as brewing, winemaking, and water treatment to quantify the amount of dissolved solids or other compounds in water. 1. **Brewing and Winemaking**: In brewing or winemaking, grain per gallon can refer to the amount of fermentable sugars or other solids extracted during the process.
The International Yard and Pound (IYP) is a system of measurement that defines the yard and pound in a way that is standardized across multiple countries. It is based on the definitions adopted in 1959 by countries that are members of the Commonwealth of Nations as well as the United States. In the International Yard and Pound system: - **One yard** is defined as exactly **0.9144 meters**. - **One pound** is defined as exactly **0.
Per cent mille, often written as "permille" (‰), is a unit of measurement that represents parts per thousand. It is similar to the concept of percentage, where percentage means parts per hundred, but permille is scaled to a base of one thousand. In mathematical terms, 1 permille is equal to 1/1000 or 0.1%. It is often used in contexts such as measuring concentrations (e.g., in chemistry) or in statistics.

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