Roland Fraïssé was a French mathematician known for his work in various areas of mathematics, particularly in mathematical logic and set theory. One of his notable contributions is related to the field of model theory and the study of the properties of structures in mathematics. He is also associated with concepts in infinitary logic and the foundations of mathematics.
The Rothe–Hagen identity is a mathematical identity related to the theory of partitions, specifically concerning the representations of integers as sums of parts. While detailed references specific to the identity might be scarce, it is often discussed in the context of combinatorial mathematics or number theory. The identity is named after mathematicians who have contributed to partition theory and can be expressed in various forms. Generally, it can relate different ways of summing integers or the coefficients of generating functions.
Russell J. Donnelly is a physicist known for his work in the field of condensed matter physics, particularly in relation to superfluidity and quantum fluids. He has made significant contributions to the understanding of the properties of superfluid helium, among other topics. Donnelly has published numerous scientific papers and has been involved in various academic and research initiatives throughout his career.
Sabrina Stierwalt is an astrophysicist and educator known for her work in the field of astronomy and her efforts to promote science communication and education. She has been involved in research related to galaxies and their formation, as well as public outreach to engage wider audiences in scientific topics. Stierwalt is also known for her ability to connect with non-expert audiences, making complex scientific concepts more accessible.
Samarendra Nath Biswas may refer to an individual, but it’s unclear without additional context as this name could belong to multiple people in different fields.
The Schoof–Elkies–Atkin (SEA) algorithm is an efficient computational method for counting the number of points on an elliptic curve over a finite field. This is a key problem in number theory and is particularly important in the fields of cryptography and computational algebraic geometry.
A **Schreier domain** is a specific type of integral domain in the field of algebra, particularly in the study of ring theory. By definition, a domain is a commutative ring with unity in which there are no zero divisors. A Schreier domain is characterized by certain structural properties that relate to its ideals and factorizations.
The Schröder–Bernstein theorem is a fundamental result in set theory that provides a criterion for the existence of a bijection (one-to-one and onto correspondence) between two sets, given certain conditions about the existence of injections (one-to-one functions) between those sets. In the context of measurable spaces, the theorem can be reformulated to pertain to the measurability of the functions involved.
The David Richardson Medal is an award presented by the University of Western Australia (UWA) to honor outstanding contributions to the field of biodiversity and conservation science. It recognizes individuals who have demonstrated exceptional achievement, leadership, and dedication to enhancing the understanding and preservation of biodiversity. The medal is named in honor of Professor David Richardson, a prominent figure in ecological and biological research.
"The Continuing Revolution" typically refers to ongoing social, political, or technological movements that build upon the ideas and changes initiated by past revolutions. The phrase can be associated with various contexts, including Marxist theory, where it emphasizes that the process of revolution is not a one-time event but a continuous struggle for change and improvement in society.
The Dieudonné determinant is a generalized determinant used in the context of matrices over certain fields, particularly in relation to algebraic structures known as noncommutative rings. It arises in the study of the representation theory of groups and certain types of algebras, especially in the context of algebraic groups and linear algebraic groups.
A Toeplitz operator is a type of linear operator that arises in the context of functional analysis, particularly in the study of Hilbert spaces and operator theory. Toeplitz operators are defined by their action on sequences or functions, and they are often associated with Toeplitz matrices.
Kile is a user-friendly LaTeX editor for the KDE desktop environment, primarily used on Linux systems. It provides a graphical interface for creating and editing LaTeX documents, which are commonly used for typesetting documents that require complex formatting, such as academic papers, theses, and dissertations. Kile offers features such as: - Intuitive user interface with toolbars and menus for common tasks. - Built-in templates for different types of documents.

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