The Universal Approximation Theorem is a foundational result in the field of neural networks and approximation theory. It states that a feedforward neural network with at least one hidden layer and a finite number of neurons can approximate any continuous function on a compact subset of \(\mathbb{R}^n\) to any desired degree of accuracy, provided that the activation function used in the network is non-constant, bounded, and continuous.
The network effect is a phenomenon whereby a product or service becomes more valuable as more people use it. This effect is commonly seen in technology and telecommunications, but it can apply to various sectors. There are two primary types of network effects: 1. **Direct Network Effects**: These occur when the utility of a service increases as more users join the network. For example, in social networking platforms like Facebook, the value to a user increases with the number of their friends who also use the platform.
The Time-Triggered Protocol (TTP) is a communication protocol specifically designed for real-time embedded systems, which require predictable and deterministic behavior. It is part of a broader category of protocols focused on time-triggered systems, where events and message transmissions are scheduled based on time rather than on demand. This helps ensure that tasks are executed at specific points in time, making the system more reliable and easier to analyze.
As of my last knowledge update in October 2021, the New York Institute of Technology (NYIT) has had several presidents. As of then, the president was Dr. Barbara A. Johnson, who succeeded Dr. Edward Guiliano. However, leadership positions can change, so for the most current information on the presidents of NYIT, it's best to check the official NYIT website or other reliable sources for the latest updates.
As of my last update in October 2023, there isn't widely recognized public information about a person named Cecilia Lunardini. It's possible that she may be a private individual or a figure not widely covered in mainstream media or academic sources. If you have more context or details about her role or contributions, such as a specific field (e.g.
The Open-Pool Australian Lightwater Reactor (OPAL) is a research reactor located at the Lucas Heights nuclear research facility in New South Wales, Australia. It is operated by Australian Nuclear Science and Technology Organisation (ANSTO) and began its operation in 2006. The OPAL reactor is noteworthy for several reasons: 1. **Light Water Reactor**: As a light water reactor, OPAL uses ordinary water (H2O) as both a coolant and a neutron moderator.
Neutron radiation refers to a type of ionizing radiation that consists of neutrons, which are neutral particles found in the nucleus of an atom. Unlike alpha or beta radiation, which are charged particles (alpha being positively charged and beta being negatively charged), neutrons have no electrical charge, which gives them unique properties when interacting with matter.
The European Spallation Source (ESS) is a major international research facility in Sweden that focuses on neutron science. Located in Lund, the ESS is designed to produce neutrons through a process known as spallation, which involves bombarding a target material, typically heavy metal like tungsten or mercury, with protons. This interaction produces neutrons that researchers can use for a variety of scientific studies.
Neutron resonance spin echo (NRSE) is a specialized technique used in the field of neutron scattering to gain precise information about the dynamics of materials at the atomic or molecular level. It combines aspects of neutron scattering with concepts from spin echo techniques traditionally used in nuclear magnetic resonance (NMR) and other spin-related methods.
Porod's law is a principle in the field of small-angle scattering, specifically related to the scattering of X-rays or neutrons by materials with interfaces, such as colloids, emulsions, or polymers. It describes how the intensity of scattered radiation varies with the scattering vector \( q \) at large angles, which corresponds to small distances in real space.
A fusor, or inertial electrostatic confinement (IEC) device, is a type of nuclear fusion reactor that uses electric fields to confine and compress ions. Here are some notable examples and projects related to fusors: 1. **Fusor 1**: Designed by Dr. Robert W. Bussard in the 1970s, this was one of the first successful designs to demonstrate the principles of inertial electrostatic confinement.
2-Satisfiability, often abbreviated as 2-SAT, is a decision problem in computer science and mathematical logic that involves determining the satisfiability of a boolean formula expressed in conjunctive normal form (CNF) with exactly two literals per clause. In formal terms, a 2-SAT formula consists of a conjunction (AND) of clauses, where each clause is a disjunction (OR) of exactly two literals. A literal is a variable or its negation.
As of my last knowledge update in October 2023, there isn't any widely recognized entity, product, or concept specifically known as "Sina Greenwood." It's possible that it could refer to a person, a lesser-known brand, or a location that may have gained relevance after that date.
The Bourbaki "dangerous bend" symbol is a notation used in mathematical literature, particularly by the Bourbaki group, which is a collective of French mathematicians known for their rigorous and abstract approach to mathematics. The symbol resembles a curved arrow that signifies a point where the mathematical argument requires careful attention or where the reasoning may become complex or convoluted.
Wilf Malcolm was an influential figure in the field of education in New Zealand. He is best known for his contributions as an educator and as a proponent of the importance of teacher education. The Wilf Malcolm Institute of Educational Research, located at the University of Waikato, is named in his honor and focuses on educational research and advancements. Malcolm's work has had a lasting impact on the development of teaching practices and educational policies in New Zealand.
Laurent Schwartz was a French mathematician widely recognized for his contributions to the fields of analysis and mathematical physics. Born on March 5, 1915, and passing away on July 4, 2002, he is particularly renowned for developing the theory of distributions, which provided a rigorous framework for dealing with generalized functions. This work has significant applications across various areas of mathematics and physics, especially in solving differential equations and formulating theories in quantum mechanics and signal processing.
The Séminaire Nicolas Bourbaki is a series of seminars held by a group of influential French mathematicians who wrote under the pseudonym "Nicolas Bourbaki." Founded in the late 1930s, the group aimed to reformulate mathematics on a solid, formal foundation, promoting an abstract and structural approach to the discipline. The seminar sessions are typically focused on advanced topics in mathematics, often delving into areas such as algebra, topology, and analysis.
Franklin Erepamo Osaisai is a prominent Nigerian professional known for his significant contributions to the fields of technology and education. He is recognized particularly for his work in promoting science and technology in Nigeria, as well as being involved in various initiatives aimed at fostering innovation and entrepreneurship.
The Language Acquisition Device (LAD) is a concept proposed by the linguist Noam Chomsky in the 1960s. It refers to an innate biological mechanism or mental faculty that enables humans to acquire language. According to Chomsky's theory, all humans have this built-in capability, which allows them to understand and produce language despite the complexity and variety of linguistic inputs they encounter as children.
"I Am" is a 2010 American documentary film directed by Tom Shadyac, known for his work as a filmmaker and director of popular comedies like "Ace Ventura: Pet Detective" and "Liar Liar." The documentary marks a significant departure from Shadyac's previous works, focusing on profound themes of interconnectedness, happiness, and the human condition. The film explores fundamental questions about life, asking what is wrong with our world and what we can do to make it better.

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