Michel Plancherel is a notable mathematician known for his contributions to functional analysis and probability theory. He is particularly recognized for his work on the Plancherel theorem, which relates to the representation theory of groups and harmonic analysis. The theorem connects the Fourier transform and the representation of functions in terms of orthogonal bases, making significant contributions to our understanding of how signals can be decomposed into their constituent frequencies.
"Polish physicists" refers to physicists who are from Poland or have Polish nationality. Poland has a rich history in the field of physics, contributing significantly to various areas of research and theoretical developments.
The ARGUS distribution is a probability distribution that is used to model univariate data that is bounded on one side (lower bound) and has an upper bound that extends to infinity. It is notable for its characteristic shape and is often applied in fields such as economics, finance, and environmental studies where data is restricted to a particular range. Formally, the probability density function (PDF) of the ARGUS distribution is defined for positive values and incorporates a shape parameter.
The GSI (Global Systemic Initiative) anomaly typically refers to unexpected or unusual behavior observed in global systems, often in the context of environmental, economic, or technological models. It could encompass anomalies in climate patterns, financial systems, or networked technologies that impact global stability.
Homomorphism density is a concept from combinatorics and graph theory that deals with the frequency of the occurrence of one graph within another graph. More formally, it relates to the density of homomorphisms from one graph to another.
As of my last knowledge update in October 2023, I do not have specific information on an individual or entity named Vladimir Retakh. It’s possible that he is a private individual, a professional in a specific field, or a figure who has gained attention after that date.
In measure theory, **content** is a concept used to generalize the idea of a measure for certain sets, particularly in the context of subsets of Euclidean spaces. While measures, such as Lebesgue measure, are defined for a broader class of sets and satisfy certain properties (like countable additivity), content is often used for more irregular sets that may not have a well-defined measure under the Lebesgue measure. **Key Aspects of Content:** 1.
Fair division of a single homogeneous resource refers to the process of allocating a divisible and uniform resource—such as land, money, or goods—among multiple recipients in a way that is perceived as fair by all involved parties. The goal is to ensure that each participant receives a share that is equitable based on certain criteria or preferences.
"Property B" can refer to various concepts depending on the context. For instance, in real estate, it could denote a specific piece of property or real estate asset. In legal discussions, it might refer to a specific property right or classification.
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.
Antonio Hernando could refer to different individuals, depending on the context. Without specific details, it is difficult to provide a precise answer. In general, it could be a person's name and could refer to a professional in various fields such as academia, sports, or the arts.
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.
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.
Bruce H. Mahan is known as a prominent figure in the field of chemistry, particularly in the areas of physical chemistry and chemical education. He has authored or co-authored several significant textbooks and academic publications, contributing to the understanding and teaching of chemical principles. His works often emphasize the mathematical and physical foundations of chemistry, making complex topics more accessible to students and educators.
As of my last knowledge update in October 2023, there isn't a widely recognized figure or concept specifically known as "Bryce Crawford." It's possible that Bryce Crawford could refer to a private individual, a character in a book or film, or a less prominent public figure.
Christopher McKee could refer to various individuals, but one notable person by that name is a researcher and expert in the field of astronomy and astrophysics. He has contributed to the study of topics such as celestial mechanics, orbital dynamics, and space mission design.
Clarence N. Hickman was an American mathematician known for his contributions to mathematics and mathematical education. He is particularly noted for his work in the field of geometry and for his involvement with mathematical organizations. Hickman also served as a professor and was active in promoting mathematics during his career. He is perhaps best known for the "Hickman cube," a geometric construct related to spatial dimensions. Furthermore, he contributed to the development of educational materials and resources aimed at enhancing mathematics education.
As of my last update in October 2023, there is no widely recognized figure or entity specifically known as "Fiorenza Donato." It's possible that it could refer to a person, fictional character, or a lesser-known figure not present in mainstream knowledge. Alternatively, it could also be a name that has emerged after my last update.

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 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.
  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