No-justified-envy matching is a concept from the field of economics and game theory that deals with matching markets, such as job markets or school assignments, where individuals (such as workers or students) are matched to positions (such as jobs or schools) based on preferences and some form of evaluation or ranking. The idea of "no-justified-envy" refers to a condition where an individual cannot justify their envy towards another individual's match.
In the context of mathematics, particularly in the field of representation theory, a **finite character** refers to a homomorphism from a group (often a finite group or a compact group) into the multiplicative group of non-zero complex numbers (or into a field). Characters are used to study the representations of groups, particularly in the context of finite groups and their representations over the complex numbers.
The Finite Intersection Property (FIP) is a concept from topology and set theory. It applies to a collection of sets and states that a family of sets has the finite intersection property if the intersection of every finite subcollection of these sets is non-empty. Formally, let \( \mathcal{A} \) be a collection of sets.
The Social Golfer Problem (SGP) is a classic combinatorial optimization problem that involves grouping players into teams for a golf tournament, where the goal is to maximize socialization (i.e., minimize repeated pairings) over multiple rounds. Here's how it works: 1. **Players and Groups**: You have a fixed number of players, often divided into groups of a specific size.
Do-it-yourself biology, often abbreviated as DIY biology or simply DIY bio, is a community-driven movement that encourages individuals and small groups to conduct biological research or experiments outside traditional academic and commercial labs. This grassroots approach democratizes access to biotechnology and biological experimentation, allowing hobbyists, students, and citizen scientists to explore biological concepts and innovate in various fields like genetics, microbiology, and synthetic biology.
A. Ray Olpin (1908–1994) was an influential figure in the field of education, particularly known for his role as an educator, administrator, and advocate for higher education in the western United States. He served as the president of the University of Utah from 1964 to 1971, during which time he worked to enhance the university's academic programs and expand its facilities.
Albert W. Hull (1880–1966) was an American physicist and inventor known for his contributions to the field of electrical engineering and vacuum technology. He is most notably recognized for his invention of the "electric discharge tube," which led to the development of the "Hull Cell," a device used for electroplating and electrochemical analysis. The Hull Cell is instrumental in assessing the quality of electroplating solutions by providing a convenient way to evaluate the effects of various variables on plating quality.
"Andreas Becker" could refer to various individuals, as it is a relatively common name. Without specific context, it's difficult to provide a precise answer. For example, it might refer to a public figure, a professional in a certain field, or a fictional character. If you have a specific context or additional details in mind—such as a profession (e.g.
Alex Zettl is not a widely recognized name in mainstream media, literature, or public figures as of my last knowledge update in October 2021. It’s possible that it could refer to a private individual or a person who has gained prominence after that date.
Antoine Kahn may refer to different people or topics, depending on the context. In a general sense, one prominent individual named Antoine Kahn is a noted French scientist known for his work in the fields of physics and materials science.
Alán Aspuru-Guzik is a prominent scientist known for his work in the fields of chemistry, quantum computing, and machine learning. He has made significant contributions to the development of new materials, particularly in the areas of renewable energy and molecular design. Aspuru-Guzik is recognized for his research on simulating quantum systems and leveraging machine learning techniques to accelerate materials discovery.
Anatoly B. Kolomeisky is a prominent physicist known for his extensive research in the fields of theoretical and computational biophysics, particularly in the areas related to molecular motors, molecular crowding, and more broadly, statistical physics and soft matter. His work often involves the development of theoretical models to understand complex biological processes at a molecular level. He has published numerous scientific papers and has made significant contributions to the understanding of how biological systems operate under the laws of physics and chemistry.
Andrea C. Ferrari is a prominent researcher in the field of nanotechnology and graphene, best known for his work on the properties and applications of graphene and related materials. He is a professor at the University of Cambridge in the UK, where he is involved in research that spans areas such as materials science, condensed matter physics, and nanotechnology. Ferrari has made significant contributions to the understanding of graphene's electronic and optical properties, and he has been involved in various initiatives promoting the development of graphene-based technologies.
As of my last update in October 2021, there isn't a widely known public figure or concept specifically named "Christine Charles." It might refer to a person who gained prominence after my last training cut-off, a lesser-known individual, or it could be a fictional character or context-specific name.
Angela K. Wilson is an academic known for her work in computational mathematics and related fields. She is often recognized for her contributions to research in numerical analysis, optimization, and operations research. Depending on the current context, she may have various publications, projects, or roles in academic institutions. For the most accurate and up-to-date information, you might want to look at her professional profiles or academic publications.
Ann Hornschemeier is an American astrophysicist, best known for her work in the field of high-energy astrophysics and her contributions to missions involving X-ray astronomy. She has been involved with significant projects, including the Chandra X-ray Observatory, and has conducted extensive research on cosmic phenomena such as black holes and supernovae. Hornschemeier's work has contributed to our understanding of the universe and its various high-energy processes.
Arthur B. McDonald is a Canadian astrophysicist known for his work in the field of neutrino physics. He was awarded the Nobel Prize in Physics in 2015, along with Takaaki Kajita, for the discovery of neutrino oscillations, which showed that neutrinos have mass. This discovery has significant implications for our understanding of particle physics and the fundamental workings of the universe.
Arthur Rich is not a widely recognized term or name in popular culture or specific fields as of my knowledge cutoff date in October 2023. It is possible that you might be referring to a specific person, organization, or concept that is less known or has emerged recently.
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





