A Hopf algebra is an algebraic structure that is equipped with both algebra and coalgebra structures, together with a certain compatibility condition between them. It is a fundamental concept in abstract algebra, representation theory, and category theory.
Complexometric indicators are specialized chemical indicators used in titrations involving complexometric agents, typically in the analysis of metal ions. These indicators change color in response to the formation of complexes between the metal ions and a chelating agent, which is commonly ethylenediaminetetraacetic acid (EDTA). In complexometric titrations, the metal ion in solution reacts with the chelating agent, forming a stable complex.
Nil-Coxeter algebras are a specific type of algebraic structure that arises in the study of Coxeter systems, particularly in relation to their representations and combinatorial properties. The term generally refers to the algebra associated with a Coxeter group in which the relations are more relaxed, allowing for nilpotent behavior.
Addition is a fundamental mathematical operation that involves combining two or more numbers to obtain a total or sum. It is one of the four basic arithmetic operations, alongside subtraction, multiplication, and division. The symbol used for addition is "+". For example, in the expression \(3 + 2\), the numbers 3 and 2 are added together to yield a result of 5.
Populism is a political approach that seeks to represent the interests and concerns of the "common people" against the elite or established institutions. It can manifest across the political spectrum, with various ideologies using populist rhetoric and strategies. Key characteristics of populism often include: 1. **Us vs. Them Mentality**: Populist movements typically create a dichotomy between the "pure" people and a corrupt elite, fostering a sense of identity and belonging among supporters.
The Theorem of Highest Weight is a key result in the representation theory of Lie algebras and groups, particularly in the study of semisimple Lie algebras and their representations. This theorem provides a classification of irreducible representations of semisimple Lie algebras based on the highest weight of the representations. Here's a more detailed overview: 1. **Lie Algebras and Representations**: A Lie algebra is a mathematical structure studied in various areas of mathematics and theoretical physics.
"Facilitas" could refer to various concepts, depending on the context. In Latin, "facilitas" means ease or simplicity. In modern usage, it might denote: 1. **Business or Service Context**: The name of a company or service. Several businesses use "Facilitas" in their branding, typically implying that they make processes easier for clients.
A figure of speech is a rhetorical device that achieves a special meaning or effect by using language in a non-literal way. Figures of speech often involve the use of words, phrases, or sentences in a way that enhances the expressiveness of the language. They are commonly used in both poetry and prose to evoke emotions, create imagery, or emphasize a point.
As of my last knowledge update in October 2021, there is no widely recognized figure, event, or concept known as "Zoghman Mebkhout." It's possible that this name refers to a person or entity that became notable after that date or is not widely covered in publicly available sources.
Homiletics is the art and science of preaching and sermon preparation. It encompasses the theory and practice of delivering religious messages, particularly in Christian contexts. The field of homiletics involves the study of various aspects such as: 1. **Sermon Structure**: Understanding how to organize a sermon effectively, including the introduction, body, and conclusion.
"Rhetoric works" typically refers to the principles and techniques of rhetoric—the art of persuasion and effective communication. Rhetoric encompasses various strategies for conveying ideas, influencing beliefs, and persuading audiences. It is used in writing, speaking, and various forms of media. Rhetoric works by employing several key elements: 1. **Ethos**: Credibility or ethical appeal. The speaker or writer establishes trust and authority on the subject matter.
Stanzaic form refers to the organization of a poem into stanzas, which are groups of lines that usually share a common rhyme scheme and meter. Each stanza often conveys a particular idea or theme, and the arrangement of stanzas can help establish the overall structure and rhythm of the poem. Stanzas can vary in length—some poems consist of couplets (two lines), tercets (three lines), quatrains (four lines), and so forth.
Adoxography is a term used to describe fine writing or eloquent writing on a trivial subject. It combines the Greek roots "ado" meaning "worthless" and "graphy" meaning "writing." Thus, adoxography refers to the art of writing about insignificant, trivial, or minor topics in a sophisticated or polished manner. The concept highlights the contrast between the quality of the writing and the lack of substantial content in the subject matter.
The Speculative Society is a student-led organization at the University of Edinburgh, founded in 1764. It is one of the oldest debating societies in the world. The Society encourages intellectual discourse, critical thinking, and public speaking skills among its members through debates, discussions, and various events. Members of The Speculative Society engage in a range of activities, including regular debates on topical issues, guest speakers, and social events.
"Aphelia" is not a widely recognized term in the field of rhetoric or literary studies, at least as of my knowledge cut-off in October 2021. It's possible that "aphelia" might refer to a specific concept within a more niche scholarly discussion, or it could be a typographical or conceptual error. In rhetoric, terms like "aphorism," "anaphora," or "analogy" are more commonly used.
The "dead cat bounce" is a financial market term that refers to a temporary recovery in the price of an asset after a substantial decline, before the price resumes its downward trend. The phrase is based on the idea that even a dead cat will bounce if it falls from a great height, suggesting that even a severely falling asset can experience a brief uptick before continuing to decline.
Aposiopesis is a rhetorical device characterized by the intentional breaking off of a sentence or a sudden halt in the middle of a speech or writing, often leaving it incomplete. This technique is used to convey strong emotions, create suspense, or indicate that the speaker is overwhelmed or unable to continue. It can also convey a sense of urgency or emphasize what has been left unsaid.
Aretalogy is a term that refers to the study or exploration of virtues, particularly in the context of ethical philosophy. It derives from the Greek word "aretē," which means "virtue" or "excellence." Aretalogy involves examining the nature of virtues, their significance, and how they can be cultivated or practiced in daily life. In philosophical discussions, especially those rooted in virtue ethics, aretalogy emphasizes the importance of character and moral virtues in achieving a good and meaningful life.
In rhetoric, a colon is a punctuation mark (:) that is used to introduce a list, an explanation, or a quotation that follows directly from the preceding clause. It serves to signal to the reader that what comes next will elaborate on or clarify the information given before the colon. For example: - "She has three favorite hobbies: reading, painting, and hiking." - "He made one critical mistake: he underestimated his opponent.
Bdelygmia is a term that originates from the Greek word "bdelygma," which means "abomination" or "disgust." In a rhetorical context, it refers to a figure of speech that involves the expression of contempt or disdain toward a subject, often through vehement or scathing criticism. Bdelygmia can be used in literature, speeches, and debates to emphasize strong emotional rejection and to convey moral outrage or disapproval.

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