Subtract with carry (also known as subtract with borrow) is a technique used in digital circuits and arithmetic operations that allows subtraction of binary numbers while accommodating for cases where borrowing is necessary. It is an important operation in arithmetic logic units (ALUs) of processors and in digital systems' arithmetic implementations.
The Swain–Lupton equation is used in the field of chemistry, particularly in the study of optical properties of solutes in solution. It relates the absorbance of a solution to the concentration of the solute and the properties of the solvent. The equation can be especially useful when analyzing the interaction between light and the solute molecules in a solvent.
Swarm is a simulation platform designed for modeling complex systems through agent-based modeling and other computational methods. Developed originally in the late 1990s, Swarm provides a framework where individual entities (agents) can interact within a shared environment, allowing researchers and developers to simulate and analyze the dynamics of various systems. Key features of Swarm include: 1. **Agent-Based Modeling**: Swarm allows the creation of autonomous agents that can act according to defined rules.
The symmetric logarithmic derivative (SLD) is a concept from the field of quantum information theory and quantum mechanics, particularly in the context of density matrices and quantum statistical mechanics. It is used to describe how a quantum state evolves and how it interacts with measurements. For a quantum system described by a density operator \( \rho \), the symmetric logarithmic derivative is defined in relation to a measurement or an observable \( A \).
The Taiwan Ocean Research Institute (TORI) is a scientific research organization in Taiwan dedicated to the study of oceanic and marine environments. It was established to advance marine science and technology, aiming to enhance understanding of Taiwan's surrounding waters and contribute to the sustainable management and conservation of marine resources. TORI engages in various research areas, including marine biology, oceanography, fisheries science, and coastal management.
Tatjana Stykel is a Russian-born composer, pianist, and educator known for her contributions to contemporary classical music. She has composed a variety of works, including chamber music, orchestral pieces, and solo compositions. Stykel's music often incorporates elements from different musical traditions, showcasing her versatility and creativity as a composer. Additionally, she has been involved in educational initiatives, sharing her knowledge and passion for music with students and aspiring musicians.
"Simon Sidon" doesn't seem to refer to a widely recognized concept, person, or term based on my knowledge up to October 2023. It could potentially be a misspelling, a less commonly known individual, or a phrase used in a specific context or community.
Ted Harris is a mathematician known for his contributions to various areas in mathematics, particularly in functional analysis and operator theory. He has published several papers and articles throughout his academic career, focusing on topics such as semigroups of operators, stochastic processes, and differential equations.
SIMPLE (Sodium Iodide with Active Background Rejection for the Light dark matter Experiment) is a dark matter detection experiment designed to search for Weakly Interacting Massive Particles (WIMPs), which are a leading candidate for dark matter. The experiment utilizes sodium iodide (NaI) crystals as a target material to detect potential interactions between WIMPs and regular matter.
Tengiz Iremadze is not a widely recognized figure in public or historical discourse as of my last knowledge update in October 2023. It's possible that he could be an emerging figure in a specific field, a private individual, or someone not broadly covered in mainstream media.
As of my last update in October 2021, there isn't any widely recognized figure, brand, or entity named "Teresa Melo" that stands out in global news or popular culture. It's possible that Teresa Melo could refer to a private individual, a less well-known figure, a local business, or a newly emerged personality or brand after my last update.
In mathematics, a fixed point of a function is a point that is mapped to itself by that function. More formally, if \( f \) is a function and \( x \) is an element of its domain, then \( x \) is a fixed point of \( f \) if: \[ f(x) = x \] Fixed points are important in various areas of mathematics, including analysis, topology, and differential equations.
"The Chronoliths" is a science fiction novel by Canadian author Jay Lake, published in 2004. The story explores themes of temporality, fate, and the nature of time. It revolves around the sudden appearance of massive monuments known as "chronoliths" in various locations around the world. These monumental structures are linked to a mysterious future event, and they seem to have a profound impact on human society.
The perturbation problem beyond all orders typically refers to the study of perturbative expansions in quantum field theory and other areas of physics where interactions are treated as small corrections to a solvable system. The standard approach to perturbation theory involves expanding a physical quantity (such as an energy level or transition amplitude) in a series in terms of a small parameter (often associated with the coupling constant of the theory).
"The Neanderthal Parallax" is a science fiction trilogy written by Canadian author Robert J. Sawyer. The series includes three novels: "Hominids" (2002), "Humans" (2003), and "Hybrids" (2004). The story explores parallel universes, one inhabited by modern humans and the other by Neanderthals who evolved differently than humans did.
The Flemish Cap is a fishing grounds located in the North Atlantic Ocean, east of the Newfoundland coast in Canada. It is situated on a submerged bank that rises from the ocean floor and is known for its rich marine biodiversity, making it a significant area for fishing, particularly for species such as cod, haddock, and flatfish. The Flemish Cap is also notable for its historical significance in the fishing industry, especially during the cod fishing boom in the late 20th century.
Thomas Graham (1805–1869) was a notable Scottish chemist known for his contributions to the field of chemistry, particularly in the study of gases and diffusion. He is best known for formulating Graham's law of effusion and diffusion, which describes the rates at which gases escape through small openings, stating that the rate of effusion of a gas is inversely proportional to the square root of its molar mass.
A Folkman graph is a specific type of graph in graph theory named after the mathematician Julian Folkman. It is characterized by its properties related to edge connectivity and its structure. One important aspect of Folkman graphs is that they are used to investigate the relationship between graph properties such as colorings and connectivity. Specifically, Folkman graphs can be employed in studies related to hypergraphs and their extensions, especially in the context of coloring problems in combinatorial mathematics.
Forced Rayleigh scattering (FRS) is a technique used to analyze the properties of materials by probing them with light. It is an extension of the classical Rayleigh scattering phenomenon, which refers to the scattering of light by small particles. In classical Rayleigh scattering, the incident light interacts with particles in a medium, leading to scattered light whose characteristics depend on the size, shape, and composition of those particles.
The Titan II GLV (Gemini Launch Vehicle) was a variant of the Titan II rocket specifically designed to support the Gemini space program initiated by NASA in the 1960s. The Titan II rocket itself was a two-stage, intercontinental ballistic missile (ICBM) that was adapted for spaceflight use. The Titan II GLV was modified to serve as an expendable launch vehicle capable of carrying crewed Gemini spacecraft into low Earth orbit.

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