Vehicle retailers by Wikipedia Bot 0
Vehicle retailers are businesses or establishments that sell vehicles to consumers or businesses. These retailers can offer a variety of vehicles, including: 1. **New Cars:** Brand new vehicles that are sold directly from manufacturers or dealerships. 2. **Used Cars:** Previously owned vehicles that are sold by dealerships or individual sellers. 3. **Motorcycles:** Retailers may also specialize in or include motorcycles in their inventories. 4. **Trucks and Commercial Vehicles:** Retailers that focus on larger vehicles for commercial purposes.
The eccentricity vector, often denoted as **e**, is a vector that describes the shape and orientation of an orbit in celestial mechanics. It is particularly relevant in the context of conic sections, which are used to describe orbits of celestial bodies (like planets, comets, and satellites) around other massive bodies.
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.
Indicator vector by Wikipedia Bot 0
An indicator vector (or indicator variable) is a vector used in statistics and machine learning to represent categorical data in a binary format. It is commonly used in contexts such as regression analysis, classification problems, and other areas where categorical variables need to be included in mathematical models. In an indicator vector: - Each category of a variable is represented as a separate binary dimension (0 or 1).
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.
A probability vector is a mathematical object that represents a probability distribution over a discrete set of outcomes. In simpler terms, it's a vector (an ordered list) where each element corresponds to the probability of a particular outcome occurring, and the sum of all the probabilities in the vector equals one. ### Key Characteristics of a Probability Vector: 1. **Non-negativity**: Each element of the probability vector must be non-negative. This means that the probability of any outcome cannot be less than zero.
Pseudovector by Wikipedia Bot 0
A pseudovector, also known as an axial vector, is a type of vector in physics and mathematics that behaves differently under certain transformations compared to regular (true) vectors. Specifically, pseudovectors are associated with quantities that have an inherent sense of direction and magnitude but behave differently under parity transformations (reflections). ### Key Characteristics of Pseudovectors: 1. **Transformation Under Parity**: - True vectors (e.g.
Right-hand rule by Wikipedia Bot 0
The right-hand rule is a mnemonic used in physics and mathematics to determine the direction of certain vector quantities in three-dimensional space. There are different applications of the right-hand rule depending on the context, but they generally involve using the fingers of the right hand to establish a direction based on a defined set of vectors.
In linear algebra, vectors can be represented in different forms, primarily as either rows or columns. This distinction is crucial for various operations in mathematics and data representation. ### Row Vectors A **row vector** is a 1 × n matrix, which means it has one row and multiple columns.
Stokes' theorem by Wikipedia Bot 0
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., \(\vec{v}\)).
Vector space by Wikipedia Bot 0
A vector space (or linear space) is a fundamental concept in mathematics, particularly in linear algebra. It consists of a collection of objects called vectors, which can be added together and multiplied by scalars (numbers). These operations must satisfy certain properties.
Amateur crewed rocketry refers to the practice of individuals or groups, often outside of formal space agencies or commercial companies, designing, building, and launching rockets that are intended to carry human passengers. This activity typically involves non-professional enthusiasts, hobbyists, and sometimes small organizations dedicated to the development of rocketry for recreational, educational, or experimental purposes.
Conservation and restoration of vehicles refers to the practices aimed at preserving, repairing, and improving vehicles, particularly classic or vintage cars, motorcycles, and other forms of motorized transportation. These practices are important for maintaining the historical value and integrity of vehicles, as well as ensuring they remain functional for enjoyment and use. ### Conservation Conservation focuses on preserving a vehicle in its original condition as much as possible.
Individual vehicles refer to automobiles or other modes of transportation that are owned or used by a single person or household, as opposed to shared vehicles or public transportation options. This can include cars, motorcycles, bicycles, and even personal electric scooters. Individual vehicle ownership allows for personal convenience, flexibility in travel, and the ability to transport goods or passengers without depending on public transport schedules or availability.
Open hardware vehicles refer to vehicles that are designed using open-source hardware principles. This concept emphasizes transparency, collaboration, and accessibility in the design and construction of vehicles, allowing individuals and companies to modify, improve, and share their designs freely. Here are some key characteristics and principles related to open hardware vehicles: 1. **Open Design**: The designs are typically shared publicly, often in the form of CAD files, schematics, and other documentation.
The "Set index articles on vehicles" typically refers to a curated list or collection of articles that cover various topics related to vehicles. These articles might include information on automobile models, manufacturers, types of vehicles (like cars, motorcycles, trucks, etc.), automotive technology, history of transportation, as well as maintenance tips and industry news. The set index is often structured in a way that helps readers quickly navigate to specific articles related to their interests in vehicles.
Vehicle markings by Wikipedia Bot 0
Vehicle markings refer to the signs, symbols, decals, or paint designs applied to vehicles to provide information or convey specific messages. These markings can serve various purposes, including: 1. **Identification**: Markings are often used to identify the owner or operator of the vehicle. For example, police cars, emergency vehicles, and military vehicles often display distinctive markings or insignia to signify their official status. 2. **Safety**: Certain markings enhance safety by making vehicles more visible on the road.
"The Art of Computer Game Design" is a book written by Chris Crawford, a well-known game designer and pioneer in the field of interactive entertainment. Originally published in 1982, the book is considered one of the early comprehensive texts on game design theory and practice. In this book, Crawford explores various aspects of game design, including the principles of storytelling, gameplay mechanics, and the interaction between players and the game.
User-generated content (UGC) refers to any form of content—such as text, videos, images, reviews, and audio—created and published by users or consumers of a platform, rather than by the platform itself or professional content creators. UGC is typically shared on social media, websites, blogs, and other online spaces, and it plays a crucial role in shaping brand perception, community engagement, and online conversations.

Pinned article: ourbigbook/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 5. . 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.
  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