The Schwartz–Bruhat function, often simply referred to as the Schwartz function, is a type of smooth function that is rapidly decreasing. Specifically, it belongs to the space of smooth functions that decay faster than any polynomial as one approaches infinity. This type of function is especially important in various areas of analysis, particularly in the fields of distribution theory, Fourier analysis, and partial differential equations.
The EHP spectral sequence is a tool in homotopy theory and stable homotopy theory, particularly involving the study of the stable homotopy groups of spheres. It is named after the mathematicians Eilenberg, Henriques, and Priddy—hence EHP. The EHP spectral sequence arises from the framework of stable homotopy types and is associated with the "suspension" of spaces and the mapping spaces between them.
A candle auction is a type of auction where the bidding process is time-limited, usually determined by the burning of a candle. In a traditional candle auction, a candle is lit, and the auctioneer bids until the candle burns down to a predetermined point, signaling the end of the auction. The auction typically involves a fixed time interval after which the bidding is closed, and the highest bidder at that moment wins the auction.
In the context of Lie algebras, the term "polarization" commonly refers to a specific type of decomposition of the algebra that facilitates the study of its representations and associated structures. The concept of polarization is most often discussed in conjunction with symplectic and hermitian structures on Lie algebras or their representations.
The injective tensor product is a concept in the context of functional analysis and topology, particularly in the study of modules over rings or vector spaces over fields. It generalizes the idea of taking tensor products of spaces in a way that preserves the structure of the spaces involved.
A Brazilian auction is a type of auction that is characterized by its unique structure and bidding process. In this auction format, participants bid on an item by making simultaneous bids, usually through an online platform. Here are key features of a Brazilian auction: 1. **Bidding Procedure**: Unlike traditional auctions where bids are made sequentially and the highest bid at the end wins, in a Brazilian auction, bidders can place bids at any time during the auction period.
The Calcutta auction is a unique bidding process typically used in various contexts, such as fundraising, sports events, and even real estate. Its name originates from the city of Kolkata (formerly Calcutta) in India. In a Calcutta auction, participants bid on a particular item or lot, but the twist is that the highest bidder wins the right to "own" that item, and then they typically have a chance to profit from it, often sharing the proceeds with others involved in the auction.
The Generalized Second-Price (GSP) auction is a mechanism commonly used in online advertising, particularly in the context of search engine advertising and platforms like Google Ads. It allows advertisers to bid on keywords, and the auction determines the order in which ads will be displayed based on those bids.
OpenIPO refers to a model of initial public offerings (IPOs) that aims to make the process of going public more accessible and equitable for a broader range of investors. The concept of OpenIPO was developed to counteract some of the traditional IPO practices that can privilege institutional investors over individual retail investors. Essentially, OpenIPO allows retail investors to participate in IPOs that were previously mostly available to institutional investors, thus democratizing access to investments in newly listed companies.
A single-price auction, also known as a uniform-price auction, is a type of auction in which all winning bidders pay the same price for the items being sold, regardless of the individual bids they submitted. This price is typically determined by the highest losing bid (also known as the "clearing price") or the lowest winning bid.
A supply chain auction is a competitive bidding process where suppliers and vendors submit bids to provide goods or services to a buyer, typically within the context of a supply chain. This process can be used by companies to procure materials, products, or services at competitive prices while considering various factors such as quality, delivery time, and supplier reliability.
In Scrabble, "maven" is a valid word that means an expert or connoisseur in a particular field. It is often used to refer to someone who has a deep knowledge and understanding of a subject and is considered a trusted source of information. The word "maven" originates from Yiddish, derived from a Hebrew term meaning "one who understands." In Scrabble, it can score well if placed strategically on the board, especially taking advantage of premium squares for added points.
Fold equity is a concept in poker that refers to the potential value a player gains by making an opponent fold their hand. It is an essential part of evaluating the profitability of a bluff or semi-bluff. When a player bets or raises, they not only rely on their own hand strength to win the pot but also on the possibility that their opponent will fold, thus not allowing the hand to progress to a showdown.
Shogi openings refer to the initial moves and strategies employed in the game of Shogi, which is a traditional Japanese board game often called "Japanese chess." Just like in Western chess, openings in Shogi are critical because they set the foundation for the game's strategy, positioning, and potential tactics. In Shogi, there are various established openings that players can use, each with its own strengths, weaknesses, and general strategies.
Jōseki is a term from the game of Go, a traditional board game that originated in East Asia. In Go, jōseki refers to established sequences of moves in certain board positions that result in a balanced outcome for both players. These sequences are based on a combination of strategic principles and patterns that have been developed over time through extensive play and analysis.
Video game graphics refer to the visual elements in video games that create the game's aesthetic and overall look. This includes everything from the design and rendering of characters, environments, and objects, to special effects and user interface elements. Graphics in video games can range from simple 2D sprites and pixel art to highly detailed 3D models and realistic textures, depending on the game's artistic style and technology capabilities.
A CG artist, or computer graphics artist, is a professional who creates visuals using computer-generated imagery (CGI). These artists utilize various software and tools to create graphics and animations for various industries, including film, video games, advertising, architecture, and more. CG artists can specialize in different areas, including: 1. **3D Modeling**: Creating three-dimensional objects and characters. 2. **Texturing**: Adding surface textures to models, making them look realistic.
HUD stands for "Heads-Up Display" in the context of video games. It refers to the on-screen elements that provide players with essential information about their game's status and metrics without obstructing the game view. Common components of a HUD include: 1. **Health Bar**: Displays the player's current health or life points. 2. **Ammo Count**: Shows how many bullets or projectiles are remaining for the current weapon.
Input lag refers to the delay between a user's action (such as pressing a button or moving a mouse) and the corresponding response on the display or in the program being used. This latency can occur in various contexts, such as video gaming, computer usage, or any interactive system that relies on user inputs.
A Golliwog is a fictional character that originated in children's literature in the late 19th century. The character is typically depicted as a black doll with exaggerated features such as a wide smile and frizzy hair, often dressed in colorful clothing. The Golliwog first appeared in the picture book "The Adventures of Two Dutch Dolls and a Golliwogg," written by Florence Kate Upton in 1895.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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