Marcel Audiffren was a French mathematician notable for his contributions to the field of mathematics, particularly in the areas of number theory and algebra. He was active primarily in the mid-20th century. His work has had a lasting impact on various mathematical concepts and theories.
The limit of a function is a fundamental concept in calculus and mathematical analysis that describes the behavior of a function as its input approaches a certain value. Essentially, the limit helps us understand what value a function approaches as the input gets closer to a specified point, which may or may not be within the domain of the function.
Pierre Léna is a French astrophysicist notable for his contributions to the field of astronomy and his work in the development of scientific education and outreach. He is known for his involvement in various research projects and initiatives related to astrophysics and the popularization of science. Léna has also played a significant role in establishing observatories and promoting public understanding of science through various educational programs.
Robert Aymar is a French physicist and a notable figure in the field of nuclear and particle physics. He is particularly known for his work in the international scientific community, having served as the Director-General of the European Organization for Nuclear Research (CERN) from 2000 to 2008. During his tenure at CERN, Aymar was involved in significant developments related to the Large Hadron Collider (LHC) and various other particle physics experiments.
Thomas-François Dalibard (born 15 November 1704 in Paris – died 12 January 1770 in Paris) was a French physicist notable for his work in the field of electricity. He is best known for his experiments in 1752 that involved lightning and demonstrated that lightning was a form of electrical discharge. Dalibard conducted experiments on the conduction of electricity using a lightning rod, which he had developed based on the theories suggested by Benjamin Franklin.
Functions are fundamental concepts in mathematics and computer science, and they can be classified in various ways based on their properties, behavior, and applications. Here are some common types of functions: ### 1. **Based on the Number of Variables:** - **Univariate Functions:** Functions of a single variable (e.g., f(x) = x²). - **Multivariate Functions:** Functions of two or more variables (e.g.
Crystal Ball is a statistical function often used in the field of risk management, forecasting, and predictive analytics. Specifically, it is a type of probability distribution known for modeling data that follows a power law, especially in the context of uncertainty and extreme values. The Crystal Ball function is particularly relevant in financial modeling, project management, and various engineering applications.
Function application is a fundamental concept in mathematics and computer science that refers to the process of evaluating a function by providing it with specific input values, known as arguments. In essence, it is the act of "applying" a function to its arguments to obtain a result. ### In Mathematics: - A function is often denoted as \( f(x) \), where \( f \) represents the function and \( x \) is the input.
A multivalued function is a type of mathematical function that, for a given input, can produce more than one output. This contrasts with a standard function, where each input (from the domain) is associated with exactly one output (in the codomain). Multivalued functions commonly arise in various areas of mathematics, particularly in complex analysis and when dealing with inverse functions.
In mathematics, a **map** is a function that relates two sets in a specific way. It is often used to describe a relationship between elements of two mathematical objects, such as sets, spaces, or algebraic structures. A map can also be considered as a way to transform or relate one element in an input set to an output in another set.
A propositional function, also known as a predicate, is a mathematical expression that contains one or more variables and becomes a proposition when the variables are replaced with specific values. In other words, it is a statement that can be true or false depending on the values assigned to its variables. For example, consider the propositional function \( P(x) \) defined as “\( x \) is an even number.
The range of a function is the set of all possible output values (or dependent values) that the function can produce, given all possible input values (or independent values) from its domain. In other words, if you have a function \( f(x) \), the range consists of all values \( f(x) \) can take as \( x \) varies over its domain.
Antimatter-catalyzed nuclear pulse propulsion is a theoretical propulsion system that leverages the unique properties of antimatter to enhance nuclear reactions for spacecraft propulsion. This concept combines elements of antimatter physics, nuclear physics, and propulsion systems. ### Mechanism of Operation 1. **Antimatter Production**: Antimatter is produced by colliding particles at very high energies, typically in particle accelerators. It is extremely rare and costly to generate in significant quantities.
A loot box is a virtual item found in video games that contains random rewards, which can include in-game items, cosmetics, currency, or other enhancements. Players typically acquire loot boxes through gameplay, completing challenges, or sometimes by purchasing them with real money. Loot boxes have become a popular feature in many games, particularly in free-to-play titles, as they provide a way for developers to monetize their games. However, they have also been subject to controversy and debate regarding their legality and ethical implications.
Computer Go refers to the efforts and research related to developing computer programs that can play the game of Go, which is an ancient board game that originated in China over 2,500 years ago. Go is considered one of the most complex strategy games, with a vast number of possible moves and board configurations, making it significantly more challenging for computers compared to other games like chess.
Game Description Language (GDL) is a formal language designed for the specification and representation of games, particularly in the context of artificial intelligence and automated game-playing systems. GDL allows for the concise representation of the rules, states, and dynamics of a wide variety of games, including classical board games, card games, and even more complex game scenarios.
Carlton E. Lemke is a researcher known for his work in the field of biomedical engineering and neuroscience. He may be recognized for contributions related to neural engineering, neuroprosthetics, or similar areas, although specific details about his work would require access to more specialized databases or scientific literature.
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 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. - 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





