A Suslin algebra is a specific type of mathematical structure used in set theory and relates to the study of certain properties of partially ordered sets (posets) and their ideals. Named after the Russian mathematician Mikhail Suslin, Suslin algebras arise in the context of the study of Boolean algebras and the concepts of uncountability, specific kinds of collections of sets, and their properties.
Brouwer's conjecture, proposed by the Dutch mathematician L.E.J. Brouwer in the early 20th century, is a statement in the field of topology, particularly concerning the nature of continuous functions and fixed points. Specifically, the conjecture asserts that every continuous function from a compact convex set to itself has at least one fixed point.
The complex network zeta function is a mathematical tool used in the study of complex networks, which are structures characterized by interconnected nodes (or vertices) and edges (or links). This zeta function is often associated with certain properties of the network, such as its topology, dynamics, or spectral characteristics. ### Key Concepts 1. **Complex Networks**: These are graphs with complex structures, which can represent various real-world systems, such as social networks, transportation systems, biological networks, etc.
A **walk-regular graph** is a type of graph that has a uniform structure relative to walks of certain lengths. Specifically, a graph is called \( k \)-walk-regular if the number of walks of length \( k \) from any vertex \( u \) to any other vertex \( v \) depends only on the distance between \( u \) and \( v \), rather than on the specific choice of \( u \) and \( v \).
Christine Riedtmann is not widely recognized in public or historical contexts based on information available up until October 2023. She may be a private individual, a figure in a specific field, or her relevance may have emerged after that date.
Daniel B. Szyld is a mathematician known for his work in numerical linear algebra, particularly in the areas of iterative methods for solving large systems of linear equations, eigenvalue problems, and matrix theory. He has contributed to the development of algorithms and theoretical insights in these fields, often focusing on the efficiency and accuracy of numerical methods.
Edray Herber Goins is a mathematician known for his work in algebraic geometry, algebraic topology, and mathematical education. He is particularly recognized for his contributions to research in the field of mathematics and for his advocacy of increasing diversity in mathematics. Goins has also been involved in initiatives aimed at promoting awareness of underrepresented groups in STEM (Science, Technology, Engineering, and Mathematics) fields.
Adams operation is a concept from the field of algebra, specifically in the context of homotopy theory and stable homotopy theory. It is named after the mathematician Frank Adams, who introduced it while studying stable homotopy groups of spheres. In more detail, Adams operations are a family of operations on the ring of stable homotopy groups of spheres, which can be linked to the concept of formal group laws.
The Adams Prize is a prestigious award given in the United Kingdom, specifically by the University of Cambridge. It recognizes outstanding research in the field of mathematics, particularly in areas that align with the focus themes set by the prize committee. Established in honor of the 19th-century mathematician John Couch Adams, this prize is awarded annually or biennially to early-career mathematicians to encourage and support their work.
Additive State Decomposition is a technique often used in control theory and reinforcement learning to break down complex systems or functions into simpler, more manageable components. The idea is to represent a state or a task as a sum of simpler states or tasks. This can help in understanding, analyzing, or solving problems by allowing for modularity and easier manipulation of different parts of the system.
An adiabatic quantum motor is a theoretical device that utilizes the principles of quantum mechanics and adiabatic processes to convert energy into motion. The underlying concept primarily draws from two main areas of physics: adiabatic processes in quantum mechanics and the principles of quantum engines. ### Key Concepts 1. **Adiabatic Processes**: In thermodynamics, an adiabatic process is one where no heat is exchanged with the surroundings.
The adjugate matrix (also known as the adjoint matrix) of a square matrix is related to the matrix's properties, particularly in the context of determinants and inverse matrices. For a given square matrix \( A \), the adjugate matrix, denoted as \( \text{adj}(A) \), is defined as the transpose of the cofactor matrix of \( A \).
Pokhozhaev's identity is a mathematical result related to the study of certain partial differential equations, particularly in the context of nonlinear analysis and the theory of elliptic equations. It provides a relationship that can be used to derive energy estimates and to study the qualitative properties of solutions to nonlinear equations. The identity is often stated in the context of solutions to the boundary value problems for nonlinear elliptic equations and is used to establish properties such as symmetry, monotonicity, or the uniqueness of solutions.
The Phragmén–Brouwer theorem is a result in complex analysis, specifically within the context of the behavior of holomorphic functions. It generalizes the maximum modulus principle and provides conditions under which a holomorphic function can achieve its maximum on the boundary of a domain.
Adriana Calvo can refer to multiple subjects, depending on the context. It might refer to a person, a brand, or something specific in a certain industry or field. If you are referring to a notable individual, such as a public figure, artist, or professional in a specific area, please provide more context or details so that I can assist you better.
Jessica Sklar may refer to a private individual or a public figure, but there isn't a widely recognized person by that name in popular culture or historical records.
Joseph J. Rotman was a prominent Canadian businessman, philanthropist, and academic known for his contributions to both the finance industry and education. He was the founder of the Rotman School of Management at the University of Toronto, which is named in his honor following significant donations made to the institution. The Rotman School is known for its emphasis on innovative business education and research. In addition to his work in academia, Joseph J.
Paul Gordan is a mathematician known for his contributions to algebra and invariant theory, particularly in the late 19th century. He is perhaps best known for Gordan’s theorem, which addresses the completeness of the system of invariants for binary forms. In essence, the theorem asserts that the invariants of binary forms can be generated by a finite number of invariants. Gordan's work laid important groundwork for later developments in these areas of mathematics.
Roger Wolcott Richardson does not seem to refer to a widely recognized figure, event, or concept as of my last knowledge update in October 2023. It's possible that he could be a private individual or a less public figure not commonly referenced in mainstream sources. If you provide more context or specify the area you're referring to (e.g.
Thomas W. Hungerford is a prominent figure in the field of mathematics, particularly known for his contributions to algebra and number theory. He is recognized as an American mathematician and has authored a variety of research papers and textbooks. Hungerford is perhaps best known for his work on abstract algebra, including his influential book "Algebra," which is widely used in graduate courses.

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