The rayleigh (symbol: R or ray) is a unit of measurement used in optics and physics to quantify the intensity of light, specifically for the measurement of the brightness of astronomical objects or the scattering of light. 1 rayleigh is defined as the amount of light scattered by a molecule of gas that results in a change of intensity of 1 photon per square meter per second.
Kendrick mass, also known as "Kendrick mass number," is a term used in astrodynamics, particularly in the context of space missions. It refers to the mass of a spacecraft as it is expressed in terms of Earth's gravitational influence, taking into account the spacecraft's velocity and its position in a gravitational field.
A Solar Flux Unit (SFU) is a measure of solar radio flux, specifically at a frequency of 2800 MHz (or 2.8 GHz). It is commonly used in solar and astrophysical research to quantify the intensity of solar radiation, particularly from the Sun's active regions such as sunspots and solar flares. 1 SFU is defined as a flux density of \(10^{-22}\) watts per square meter per hertz (W/m²/Hz).
Wind chill, also known as wind chill factor, is a measure that describes the combined effect of wind and cold temperatures on the human body. It quantifies how cold it feels to a person when wind is taken into account, as moving air increases the rate at which heat is lost from the body. When temperatures drop, the body loses heat more quickly, and when wind is present, this heat loss is accelerated.
Surface Feet Per Minute (SFPM or SFM) is a measurement commonly used in manufacturing and machining to indicate the speed at which the surface of a rotating tool or workpiece moves. It's expressed in feet per minute and helps determine the speed at which a cutting tool should operate for optimal performance. In machining applications, SFM is critical because it impacts the quality of the cut, the tool wear, and the overall efficiency of the machining process.
A genetic algorithm (GA) is a search heuristic inspired by the process of natural selection and genetics. It is used to solve optimization and search problems by mimicking the principles of biological evolution. Here's a breakdown of how it works: 1. **Initialization**: A population of potential solutions, often represented as strings or arrays (analogous to chromosomes), is generated randomly.
A Disjoint-set data structure, also known as a union-find data structure, is a data structure that keeps track of a partition of a set into disjoint (non-overlapping) subsets. It supports two primary operations: 1. **Find**: This operation determines which subset a particular element is in. It can be used to check if two elements are in the same subset. 2. **Union**: This operation merges two subsets into a single subset.
Dynamic perfect hashing is a data structure technique designed to provide efficient and flexible handling of key-value pairs, enabling quick search, insertion, and deletion operations while maintaining constant time access complexity on average and supporting the dynamic nature of growing and shrinking datasets. The main goal of dynamic perfect hashing is to achieve constant time complexity for operations, such as searching for a key, inserting a new key, and deleting a key, while ensuring that all operations are performed in a way that avoids collisions between keys.
Expectiminimax is a decision-making algorithm used in game theory, particularly in the context of two-player games involving randomness, such as those where some outcomes are uncertain or probabilistic. It is an extension of the minimax algorithm, which is primarily used for deterministic games.
"God's algorithm" is a term used in the context of problem-solving and optimization, particularly in relation to puzzles and games like the Rubik's Cube. It refers to the most efficient way to solve a problem, achieving the solution in the least number of steps possible. In the case of the Rubik's Cube, for example, God's algorithm would mean finding the shortest sequence of moves that leads from any given scrambled state of the cube to the solved state.
Late Move Reductions (LMR) is a technique used in computer chess and other game-playing AI to optimize the search process in game trees. The idea behind LMR is to skip certain moves that are unlikely to change the outcome of the search based on previous evaluations, thus allowing the algorithm to focus its computational resources on more promising moves.
Look-ahead and backtracking are concepts often associated with algorithm design and problem-solving techniques, particularly in the context of search algorithms. ### Look-ahead: Look-ahead is a strategy used to anticipate the consequences of decisions before committing to them. It involves evaluating several possible future states of a system or a decision path to see what outcomes can arise from various choices.
A **perfect hash function** is a type of hash function that maps a set of keys to unique indices in a hash table without any collisions. This means that each key in the set corresponds to a unique index, allowing for fast retrieval of the associated value with no risk of overlapping positions. Perfect hashing is particularly important in scenarios where the set of keys is static and known in advance. ### Types of Perfect Hash Functions 1.
Styled Layer Descriptor (SLD) is an XML-based markup language used to define the visual styling of geospatial data in web mapping applications. It is part of the Open Geospatial Consortium (OGC) standards and is primarily used with Web Map Services (WMS) to specify how map layers should be rendered. SLD allows users to create detailed and customized styles for geographic data by defining rules, symbols, colors, and other visual properties.
Typography in the context of cartography refers to the art and technique of arranging type on maps. It involves the design and placement of text elements such as place names, labels, legends, and other textual information that is essential for understanding the map's content. Good typography in cartography enhances readability, ensures clarity, and contributes to the overall aesthetic of the map. Key considerations in cartographic typography include: 1. **Font Selection**: Choosing appropriate typefaces that complement the map's design and purpose.
The digital economy refers to an economy that is primarily based on digital technologies, particularly the internet and information and communication technologies (ICT). It encompasses a wide range of economic activities that are facilitated by the use of digital tools, such as e-commerce, digital finance, online services, and the sharing economy. Key features of the digital economy include: 1. **E-commerce**: The buying and selling of goods and services online. This includes retail platforms, digital marketplaces, and online subscription services.
A gift economy is a type of economic system where goods and services are given without any explicit agreement for immediate or future rewards. Instead of trading items based on their monetary value or through formal exchanges, participants in a gift economy contribute to the community by offering resources voluntarily, and the value is derived from the relationships and social bonds created through these acts of giving.
Categorical set theory is an approach to set theory that emphasizes the use of category theory to study sets and their relationships. It aims to formalize and generalize the concepts of traditional set theory by using the language and structure of category theory, which focuses on the relationships (morphisms) between objects (sets) rather than just the objects themselves.
The category of abelian groups, often denoted as \(\mathbf{Ab}\), is a mathematical structure in category theory that consists of abelian groups as objects and group homomorphisms as morphisms. Here's a more detailed breakdown of its features: 1. **Objects**: The objects in \(\mathbf{Ab}\) are all abelian groups.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





