Ronald DeVore is a mathematician known for his work in functional analysis, approximation theory, and numerical analysis. His contributions often focus on the mathematical foundations of data science, including topics such as wavelets and approximation by more general types of functions.
Ronald Graham (1935–2020) was an influential American mathematician known for his work in various areas of mathematics, including computer science, combinatorics, and number theory. He was particularly famous for his contributions to graph theory and for his work on algorithm analysis. Graham was also well-known for his collaboration with other mathematicians, including Paul Erdős, with whom he co-authored numerous papers.
Thaleia Zariphopoulou is a Greek mathematician known for her contributions to areas such as stochastic analysis, financial mathematics, and optimization. She has worked on topics like stochastic control, optimal stopping, and mathematical finance, with an emphasis on the application of these mathematical concepts in real-world scenarios. Zariphopoulou has been recognized for her academic achievements and has published various research papers in her field.
Sven Leyffer is a researcher and academic known for his work in the fields of optimization, numerical analysis, and mathematical programming. He has contributed to the development of algorithms and software for solving large-scale optimization problems. Leyffer has been involved in advancing the understanding of constrained optimization and has published numerous papers on related topics.
Fermat's Last Theorem states that there are no integers \( x, y, z \) and \( n \) greater than 2 such that \[ x^n + y^n = z^n. \] Fermat famously wrote in the margin of his copy of Diophantus' *Arithmetica* that he had discovered "a truly marvelous proof" of this theorem, which he claimed was too large to fit in the margin.
Fermat's Last Theorem states that there are no three positive integers \( a \), \( b \), and \( c \) that satisfy the equation \( a^n + b^n = c^n \) for any integer value of \( n \) greater than 2. The theorem was famously conjectured by Pierre de Fermat in 1637 and was not proven until Andrew Wiles completed his proof in 1994.
The Rare Earth hypothesis is a concept in astrobiology and planetary science that suggests that the conditions necessary for the emergence of complex life on Earth are incredibly rare in the universe. This hypothesis posits that while simple life forms, such as bacteria and single-celled organisms, may be common throughout the cosmos, the specific factors that have allowed complex multicellular life to evolve on Earth are unusual and not likely to be replicated elsewhere.
The Deep Underground Neutrino Experiment (DUNE) is a major international research initiative designed to study neutrinos, which are elusive subatomic particles that are produced in nuclear reactions, such as those occurring in the sun and in nuclear reactors. DUNE aims to address fundamental questions in particle physics, cosmology, and the nature of matter and antimatter.
Ferrite refers to a type of magnetic material that is primarily composed of iron oxide mixed with other metallic oxides. These materials are usually ceramic compounds that exhibit ferromagnetic properties, meaning they can be magnetized and used in a variety of magnetic applications. Ferrites are characterized by their high electrical resistance, low eddy current loss, and stability over a broad frequency range, making them ideal for use in high-frequency applications such as inductors, transformers, and antennas.
Magnadur is a brand name for a type of material used in various industrial applications, particularly as a form of magnetic shielding or in magnetic applications. The specifics can vary based on the context in which the term is used. In general, Magnadur materials are known for their high magnetic permeability, which allows them to effectively redirect and shield magnetic fields. This makes them useful in a range of applications including electronic devices, electrical transformers, and other equipment where magnetic interference might need to be controlled.
Phyllis Summers is a fictional character from the American television soap opera "The Young and the Restless." Portrayed by actress Michelle Stafford from 1994 to 1999 and then again from 2000 to 2001, and later by Gina Tognoni from 2014 to 2020, Phyllis is known for her complex personality, which blends strength, ambition, and often a tumultuous romantic life.
Permalloy is a nickel-iron magnetic alloy that typically contains about 80% nickel and 20% iron, although the exact composition can vary. It is known for its high magnetic permeability, low coercivity, and excellent magnetic softness, which makes it particularly useful in the manufacturing of magnetic components such as transformers, magnetic shields, and inductors. The high permeability of Permalloy allows it to effectively channel magnetic fields, making it suitable for applications in electronic devices and electromagnetic systems.
Exposition in narrative refers to the part of a story that provides essential background information to the audience. It sets the stage for the plot by introducing key elements such as: 1. **Characters**: Information about the main characters, their personalities, relationships, and motivations. 2. **Setting**: Details about the time and place where the story occurs, including cultural, historical, and environmental context.
The term "État second" (French for "Second State") is not commonly found in standard political discourse and may refer to different concepts depending on context. However, one interpretation relates to the concept of the "Second Estate" in the context of the French feudal system and the Estates-General, where society was traditionally divided into three estates: 1. **First Estate**: Clergy 2. **Second Estate**: Nobility 3.
Fictional astrobiologists are characters in literature, film, or other forms of media who study the possibility of life beyond Earth, often in imaginative or speculative contexts. These characters can be scientists conducting research on extraterrestrial life forms, exploring alien worlds, or investigating the conditions necessary for life to exist elsewhere in the universe.
A magnet motor typically refers to a type of motor that ostensibly utilizes permanent magnets to produce motion and generate energy. While the term can be associated with various designs and concepts, many magnet motors operate under the principle of using magnetic fields to create rotational movement without the need for external energy sources. There are a few key points to note regarding magnet motors: 1. **Perpetual Motion Claims**: Many magnet motor designs claim to provide perpetual motion, which would violate the laws of thermodynamics.
An extensometer is an electronic or mechanical device used to measure the extension or deformation of a material or specimen under load. It is commonly employed in material testing, structural monitoring, and other applications where precise measurements of displacement or strain are required. Extensometers can be used in various settings, including laboratories and field environments, and can measure elongation, compression, or changes in diameter.
A Ping test, in the context of engineering and networking, is a diagnostic tool used to determine the reachability of a host on an Internet Protocol (IP) network. It is utilized to check the status of a network connection between two devices by sending Internet Control Message Protocol (ICMP) Echo Request messages to the target device and waiting for an Echo Reply.
In field theory, the minimal polynomial of an element \(\alpha\) over a field \(F\) is the monic polynomial of least degree with coefficients in \(F\) that has \(\alpha\) as a root. More specifically, the minimal polynomial has the following properties: 1. **Monic**: The leading coefficient (the coefficient of the highest degree term) is equal to 1.

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