"The Classical Groups" typically refers to a mathematical concept in the field of group theory, particularly concerning groups that can be associated with classical geometric objects. These groups are important in various areas of mathematics and physics, including representation theory, algebra, and geometry. The classical groups can be broadly categorized into several families based on the type of geometric structures they preserve: 1. **General Linear Group (GL)**: The group of all invertible \(n \times n\) matrices over a field.
Dan Leno, born as George Edwin Rose in 1860, was a prominent British comedian and music hall performer during the late Victorian era. He is best known for his unique style of humor, cross-dressing as a character named "Dan Leno," and his elaborate costumes and performances that combined elements of song, dance, and comedy. Leno was particularly famous for his involvement in various theatrical productions, including pantomimes and musical comedies.
In the context of group theory, a fixed-point subgroup refers to the set of elements in a group that remain unchanged under the action of a particular element or a group of elements, typically in the context of a group acting on a set. It's related to the idea of certain symmetries or invariances in that action. More formally, consider a group \( G \) acting on a set \( X \).
Candido's identity is a mathematical identity related to the concept of sequences and series. Specifically, it refers to a formula involving the relationship between sums of powers of integers. Although the precise form and applications can vary, a notable version of Candido's identity might express a connection between various sums of powers or introduce a combinatorial aspect to polynomial identities.
"Persona non grata" is a Latin term that literally means "person not welcome." In the context of diplomacy, it refers to a foreign diplomat or official who is no longer welcome in a host country, typically due to actions deemed unacceptable or harmful to the host nation's interests. In the Philippines, the concept of "persona non grata" can also extend beyond formal diplomatic relations.
"The Evolution of Cooperation" is a concept popularized by political scientist Robert Axelrod in his influential book titled "The Evolution of Cooperation," published in 1984. It explores how cooperation can emerge and be maintained among self-interested individuals or groups, particularly in contexts where they might benefit from acting selfishly.
"The Hesperian Harp" is a collection of poems and songs written by various authors that was published in the 19th century, specifically in 1848. The book was edited by the American writer and poet George Washington Doane, who sought to capture the spirit of American literature at the time. The term "Hesperian" refers to the evening or the West, and often carries connotations of beauty, tranquility, and nostalgia.
Michel Las Vergnas is a French mathematician known for his contributions to the fields of combinatorics and graph theory. He has worked on various topics, including algebraic graph theory and combinatorial optimization. His research and publications have had a significant impact on the mathematical community.
The term "moment curve" can refer to different concepts depending on the context. Here are a couple of common interpretations: 1. **Moment Curves in Mechanics**: In mechanics, particularly in structural engineering and physics, a moment curve refers to a graphical representation of the bending moments along a structural element, such as a beam. These curves are used to visualize how internal forces develop along the length of a structure under various loads, helping engineers understand where the maximum bending moments occur.
A Nagata ring is a special type of ring in commutative algebra. More specifically, it is a class of rings that are defined in the context of properties related to integral closure and integral extensions.
Musée Bolo is a museum dedicated to the history of computing and video games, located in Lausanne, Switzerland, within the campus of the École Polytechnique Fédérale de Lausanne (EPFL). The museum hosts a collection of computers, video games, and related artifacts, showcasing the evolution of technology and its impact on society. It aims to educate visitors about the development of computing and gaming, highlighting significant milestones and innovations in the field.
Norman L. Biggs is a mathematician known for his work in the field of algebra and combinatorics. He has made significant contributions to various mathematical concepts and has authored several academic papers and books. One notable aspect of his work is related to group theory and its applications. If you are referring to something specific like a particular publication, theory, or topic associated with Norman L. Biggs, please provide more details for a more precise answer!
The rational normal curve is a mathematical concept often used in algebraic geometry and related fields. It is defined as the image of the embedding of projective space into a projective space of higher dimensions via a rational parameterization.
In combinatorial mathematics, a **necklace polynomial** is a polynomial that counts the number of different ways to color a necklace (or circular arrangement) made from beads of different colors, considering rotations as indistinguishable. The concept is a part of the field of combinatorial enumeration and is connected to group theory and Burnside's lemma.
Norman Macleod Ferrers (1829–1903) was a British mathematician known for his contributions to the field of mathematics, particularly in the areas of algebra and geometry. He is perhaps best recognized for his work relating to linear algebra and the study of algebraic forms and structures. Ferrers' work included the development of Ferrers diagrams, which are graphical representations used in combinatorics and the theory of partitions.

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