In differential geometry, the term "distribution" refers to a smooth assignment of a subspace of the tangent space at each point of a manifold. More formally, given a smooth manifold \( M \), a distribution is a smooth assignment of a vector subspace \( D_p \) of the tangent space \( T_p M \) at each point \( p \in M \). Distributions are often used to study geometric structures, such as foliations and control systems.
Doomscrolling, also known as doomsurfing, refers to the act of continuously consuming an excessive amount of negative news or information—often via social media or news websites—despite the potential for this content to be distressing or anxiety-inducing. This behavior typically involves scrolling through an endless feed of alarming headlines and reports, especially during times of crises or uncertainty, such as natural disasters, political turmoil, or health emergencies.
The double operator integral is a mathematical concept that arises in the context of functional analysis and operator theory. It extends the notion of integration to the setting of operators acting on Hilbert spaces or Banach spaces. In traditional calculus, we can define integrals over functions; in the case of operator integrals, we can think of integrating over operators. The double operator integral involves integrating two operator-valued functions with respect to a measure.
"Dry punch" can refer to a couple of different things depending on the context, but it most commonly describes a technique in martial arts or boxing. 1. **Martial Arts/Boxing**: A "dry punch" could refer to a punch that is thrown without any follow-up or combination moves — essentially a single punch delivered without additional strikes or movement. In training, this may involve practicing punches without the use of actual sparring gear or in an uncontrolled manner.
A Spidron is a type of geometric structure and mathematical object that combines elements of symmetry, geometry, and art. It was designed by Hungarian artist and mathematician, János J. Bolyai, and it consists of a series of triangular or polygonal shapes that are connected in a specific way to form a three-dimensional object.
Ecological yield refers to the amount of biomass or energy that an ecosystem can produce sustainably over a certain period without degrading its capacity to produce in the future. It is a measure of the productivity of an ecosystem, typically expressed in terms of the harvestable portion of resources, such as fish, timber, or agricultural crops, that can be extracted without harming the ecosystem's health or integrity. Ecological yield takes into account the balance between what an ecosystem can regenerate and what is taken from it.
Edman degradation is a well-established method for the sequential identification of amino acids in a peptide or protein. This technique allows for the determination of the amino acid sequence from the N-terminus of a peptide. Here is a brief overview of the process: 1. **Chemical Reaction**: The method involves the use of phenylisothiocyanate (PITC), which reacts with the free amino group of the N-terminal amino acid of the peptide.
As of my last update in October 2023, Rahul Pandit may refer to various individuals; without specific context, it's difficult to pinpoint exactly who you mean. He could be a professional in fields such as business, academia, the arts, or even a public figure.
Electrochemical dualism is a theoretical framework that addresses the nature of electrical and chemical processes within a system, particularly focusing on how these processes intertwine and influence one another. While the term itself may not have a widely recognized or standardized definition in scientific literature, it generally relates to the interplay between electrical phenomena—such as electron movement—and chemical reactions, particularly in the context of electrochemistry.
An "email box," often referred to as an "inbox," is a digital storage space associated with an email account where incoming emails are received and stored. It is one of the primary components of an email service, allowing users to manage their email communications. Here are some key points regarding an email box: 1. **Structure**: The email box holds messages sent to a specific email address.
Eligor Models is a company known for producing high-quality scale model vehicles, particularly focused on replicas of classic and contemporary cars, trucks, and other vehicles. The company is noted for its attention to detail, realism, and craftsmanship, often working in scales such as 1:43, which is popular among collectors. Eligor Models has a strong presence in the die-cast and resin model markets, offering models that appeal to both hobbyists and collectors.
Intergalactic media can refer to various concepts depending on the context in which it is used. Generally, it implies the creation, distribution, or consumption of media content that may have themes or stories involving space, interstellar travel, or extraterrestrial life. This could encompass various forms of entertainment, including: 1. **Science Fiction Content**: Books, movies, TV shows, and games that explore space travel, alien civilizations, and intergalactic adventures.
The Energetic Materials Research and Testing Center (EMRTC) is a facility that focuses on research, development, testing, and evaluation of energetic materials, which include explosives, propellants, and pyrotechnics. EMRTC is often associated with specific institutions or organizations, such as universities or governmental bodies involved in defense or public safety.
"Marotte" can refer to a couple of different things, depending on the context: 1. **In Puppetry**: A marotte is a type of puppet or a decorative staff, often held by a performer. It typically features a puppet head atop a stick and is used in various theatrical performances, especially in traditional comedy and vaudeville.
The Energy Information Administration (EIA) is a U.S. government agency that is part of the Department of Energy (DOE). It was established in 1977 and is responsible for collecting, analyzing, and disseminating data on energy production, consumption, and trends in the United States and globally.
Engineering organizations in Nepal encompass a variety of professional associations, educational institutions, and regulatory bodies that promote the engineering profession, support engineers' development, and establish standards in the field. Here are some key types of engineering organizations found in Nepal: 1. **Professional Associations**: - **Nepal Engineers’ Association (NEA)**: This is one of the primary professional bodies for engineers in Nepal. It aims to promote the interests of engineers, facilitate professional development, and advocate for the engineering profession.
Enterprise Dynamics is a software platform primarily used for modeling, simulating, and analyzing complex systems and processes within various industries, such as manufacturing, logistics, healthcare, and service operations. It enables organizations to visualize their operations, identify bottlenecks, optimize resource allocation, and improve overall efficiency. The key features of Enterprise Dynamics typically include: 1. **Modeling**: Users can create detailed models of their systems using graphical interfaces, incorporating various elements such as resources, processes, and workflows.
A hexagonal number is a figurate number that represents a hexagon. The \(n\)th hexagonal number can be calculated using the formula: \[ H_n = n(2n - 1) \] where \(n\) is a positive integer. Hexagonal numbers can be visualized as a pattern of points arranged in the shape of a hexagon.
Everett C. Dade is not a widely recognized figure or term in public knowledge as of my last update in October 2023. It’s possible that it could refer to a specific individual, a place, or a term that has emerged more recently or is less known in broader contexts.

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