An automorphism of a group is an isomorphism from the group to itself. In the context of symmetric groups \( S_n \) and alternating groups \( A_n \), automorphisms play a significant role in understanding the structure and properties of these groups. ### Symmetric Groups \( S_n \) 1.
Color-flavor locking (CFL) is a phenomenon that occurs in certain theories of quantum chromodynamics (QCD), particularly in the context of dense quark matter, such as that found in the cores of neutron stars. It is a theoretical framework used to describe the behavior of quarks when they are subjected to extremely high densities.
A Frobenius group is a special type of group in group theory, which is a branch of mathematics. Specifically, a Frobenius group is a group \( G \) that satisfies certain properties related to its subgroups and the action of the group on a set.
The concept of a "system of imprimitivity" comes from the field of group theory and is often used in the study of group actions. In the context of group actions on sets, a system of imprimitivity is a partition of a set that is invariant under the action of a group.
Andrea Bonomi is an Italian philosopher known for his work in the areas of metaphysics, epistemology, and ethics. He has contributed to discussions surrounding fundamental philosophical issues, including the nature of reality, knowledge, and moral philosophy. His writings often address the intersections between contemporary philosophical debates and classical philosophical traditions. Bonomi’s work may also engage with themes related to social and political philosophy, as well as the implications of philosophical thought in practical contexts.
Andrea Nye is a philosopher known for her work in feminist philosophy, as well as her contributions to the philosophy of science and the history of philosophical thought. She has written extensively on topics related to gender, epistemology, and the role of women in the history of philosophy.
Statistical Associating Fluid Theory (SAFT) is a theoretical framework used to model and predict the thermodynamic properties and phase behavior of complex fluids, particularly those composed of associating molecules. It is particularly useful for systems where molecular associations, such as hydrogen bonding, play a significant role in determining the system's behavior. Here are some key aspects of SAFT: 1. **Molecular Structure**: SAFT takes into account the molecular structure and interactions of the components in a fluid.
The Centre for Human Bioethics is an academic research center that typically focuses on the ethical, legal, and social implications of developments in biotechnology and biomedicine. Such centers are often affiliated with universities or research institutions and may engage in interdisciplinary work that includes philosophy, law, medicine, and the social sciences.
Moral circle expansion refers to the process of broadening the scope of moral consideration to include a wider range of beings or entities. This concept is often discussed in ethical philosophy, particularly in the context of how societies evolve in their moral understanding and how they extend moral consideration to different groups or species over time. Key aspects of moral circle expansion include: 1. **Inclusivity**: Initially, moral consideration may be limited to certain groups—often based on factors like species, race, or nationality.
Carlo Penco does not appear to be a widely recognized public figure, brand, or term based on information available until October 2023. It's possible that he could be a private individual, or the name might relate to specific contexts (such as a character in a story, a professional in a niche industry, etc.) that are not broadly documented.
Liquid crystals are a state of matter that have properties between those of conventional liquids and solid crystals. In a solid crystal, the molecules are arranged in an ordered structure, while in a conventional liquid, they are disordered and free to move around. Liquid crystals, however, exhibit a unique combination of both order and fluidity.
Paracrystallinity refers to a structural characteristic of materials, particularly in the context of disordered solids, where the material exhibits some degree of periodic order but lacks the long-range order typically found in perfect crystals. In paracrystalline materials, there may be short-range order similar to that of crystalline structures, but this order diminishes over longer distances.
Ludwig Klages (1872–1956) was a German philosopher, psychologist, and a leading figure in the field of expressive and body psychology. He is known for his work on the relationship between spirit and body, as well as his critique of modernity and rationalism. Klages argued for a more holistic understanding of human existence, emphasizing the importance of emotions, instincts, and the unconscious.
Julian Barbour is a theoretical physicist and philosopher known for his work on the nature of time and the foundations of physics. He has contributed to the understanding of how time is perceived in the context of modern physics, particularly in relation to general relativity and quantum mechanics. Barbour is perhaps best known for his book "The End of Time," in which he argues that time may not be a fundamental aspect of the universe but rather an emergent feature arising from more fundamental elements of reality.
Adolf Reinach (1883–1917) was a German philosopher and a leading figure in the phenomenological movement, particularly associated with the early work of Edmund Husserl. He is known for his contributions to the philosophy of language, the philosophy of perception, and social ontology.
Adolph Stöhr was a notable German physicist recognized for his contributions to various fields of physics. However, there is limited public information available about his specific contributions or achievements.
Al-Farabi, also known as Abu Nasr al-Farabi, was a prominent Islamic philosopher, scientist, and polymath who lived around 872 to 950 CE. He was born in what is now Kazakhstan and later moved to Baghdad, which was a significant center of learning during the Islamic Golden Age.
Eugen Munteanu might refer to a specific individual, but without additional context, it's difficult to determine precisely who you mean, as the name may not be widely recognized or associated with a prominent public figure. If you're referring to a specific person in a particular field (such as literature, science, politics, etc.
Ferdinand de Saussure (1857–1913) was a Swiss linguist and semiotician whose work laid the foundation for many modern fields of linguistic study and semiotics. He is best known for his contributions to structural linguistics, particularly through his seminal work, "Course in General Linguistics," which was published posthumously in 1916 based on notes from his students.

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