The concept of a **subderivative** arises in the context of convex analysis and nonsmooth analysis. It generalizes the idea of a derivative to non-differentiable functions. Here’s a brief overview of its key aspects: 1. **Context**: In classical calculus, the derivative of a function at a point measures the rate at which the function changes at that point.
"Vehicle operators by vehicle type" typically refers to the categorization or classification of individuals or companies that operate different types of vehicles. This can include various modes of transportation, such as: 1. **Personal Vehicles**: - Cars - Motorcycles - Bicycles 2.
In geometry, equipollence refers to the concept of two figures or geometric objects being equivalent in certain properties, often in terms of their area, volume, or other measurable attributes, even if they are not congruent or identical in shape. This concept can apply in various contexts, such as in the study of similar figures, where the shapes may differ but have proportions that maintain certain ratios, or when comparing geometric figures that can be transformed into one another through operations like scaling or deformation.
The Laplace–Runge–Lenz (LRL) vector is a fundamental concept in celestial mechanics and classical mechanics, particularly in the study of central force problems, such as the motion of planets and satellites around a central body (like the Sun). ### Definition The LRL vector \( \mathbf{A} \) is defined in the context of the motion of a particle under a central force, such as gravity.
Stokes' theorem is a fundamental result in differential geometry and vector calculus that relates a surface integral over a surface \( S \) to a line integral over the boundary curve \( \partial S \) of that surface. It provides a powerful way to convert between the two types of integrals and is an essential tool in both mathematics and physics.
In mathematics and physics, a **vector** is a quantity that has both magnitude and direction. Vectors are used to represent quantities that have both these attributes, such as velocity, force, acceleration, and displacement. ### Mathematical Representation 1. **Notation**: Vectors are often represented using boldface letters (e.g., **v**) or with an arrow on top (e.g., \(\vec{v}\)).
Video game monetization refers to the various strategies and methods that game developers and publishers use to generate revenue from their games. With the growth of the gaming industry, multiple monetization models have emerged to cater to different types of games and player preferences. Here are some common monetization strategies: 1. **Premium Sales**: This is the traditional model where players pay a one-time fee to purchase the game. This includes full-priced games sold on platforms like consoles, PCs, or digital storefronts.
"Vehicles by designer" typically refers to a categorization or collection of vehicles that are designed by specific automotive designers or design firms. This could include cars, trucks, motorcycles, and other types of vehicles that feature distinctive design elements or innovation based on the vision of particular designers. Examples of notable automotive designers include: 1. **Giugiaro** - Known for designs like the Volkswagen Golf and the DeLorean DMC-12.
A "gold sink" is a term commonly used in video games, particularly in the context of massively multiplayer online games (MMOs) or other online gaming environments where in-game economies are present. A gold sink refers to mechanisms or features within the game that are designed to remove currency, typically gold or equivalent, from the game's economy. The primary purpose of gold sinks is to help manage inflation in the in-game economy.
Venezuelan women physicists are female scientists from Venezuela who specialize in the field of physics. Like their counterparts in other countries, they contribute to various subfields of physics, such as theoretical physics, experimental physics, astrophysics, condensed matter physics, and more. In recent years, there has been a growing recognition of the contributions of women in science, including physics.
Luis Herrera Cometta does not appear to be a widely recognized public figure or concept in common knowledge as of my last knowledge update in October 2023. If he has become notable for any reason after that date or if he is a private individual, I may not have information about him.
Near-infrared spectroscopy (NIRS) is an analytical technique used to obtain information about the chemical composition and physical properties of a sample by analyzing the near-infrared region of the electromagnetic spectrum, which typically ranges from about 750 nm to 2500 nm. ### Key Features of NIRS: 1. **Principle of Operation**: NIRS involves the absorption of near-infrared light by molecular vibrations.
Chris Crawford is a notable figure in the field of game design, recognized for his contributions over several decades. He is best known for his work in the development of interactive storytelling and game mechanics, and he has been an advocate for the concept of games as a unique form of art and communication. One of his significant contributions to game design is his book, "Chris Crawford on Game Design," which offers insights into his philosophy and theories about what makes games engaging and meaningful.
A destructible environment refers to a game design feature that allows players to interact with and alter the game world in significant ways, primarily by damaging or destroying various elements within that environment. This concept enhances immersion and realism, providing players with a more dynamic and engaging experience. Key aspects of destructible environments include: 1. **Realism and Immersion**: Destructible elements can make a game feel more realistic, as players can experience the consequences of their actions in a tangible way.
The term "invisible wall" can refer to a few different concepts, depending on the context in which it is used: 1. **Psychological Barrier**: In psychology, an "invisible wall" might refer to emotional or social barriers that prevent people from connecting with one another. This can include things like social anxiety, mistrust, or unexpressed feelings that create distance between individuals, even when they are physically close.
Player progress tracking in video games refers to the methods and systems used to monitor and record a player's achievements, milestones, and overall advancement within a game. This can include a range of elements, such as: 1. **Levels and Experience Points (XP)**: Many games feature leveling systems where players accumulate experience points through gameplay, which contribute to advancing to higher levels.
Pre-rendering is a web development technique used to enhance the performance and loading speed of web applications, especially single-page applications (SPAs). It involves generating HTML content for a web page ahead of time, instead of relying solely on client-side JavaScript to build the page when users request it. ### Key Aspects of Pre-rendering: 1. **Static Content Generation**: - Pre-rendering typically generates static HTML files for each route or page of the application.
Cheating in video games refers to the use of unauthorized methods or tools to gain an unfair advantage over other players or to manipulate the game environment. This can take many forms, including but not limited to: 1. **Exploits**: Taking advantage of glitches or bugs in the game code that were not intended by the developers. This could involve bypassing normal game mechanics, duplicating items, or accessing areas that are meant to be off-limits.
Buy-to-play (B2P) is a business model commonly used in the video game industry where players must purchase a game upfront to access and play it. This model contrasts with free-to-play (F2P) games, which are free to play but may include microtransactions or in-game purchases for additional content, features, or advantages.
A LAN party is a gathering of people who come together to play video games over a Local Area Network (LAN). Participants typically bring their own computers or gaming consoles, connect them to the same local network, and engage in multiplayer gaming. These events can range from small get-togethers with a few friends in someone's home to large-scale events hosted in dedicated venues, often featuring competition, tournaments, and various gaming-related activities.

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