Theta correspondence is a concept in the field of representation theory, particularly in the study of reductive groups over local fields. It provides a framework for relating representations of different groups, often linking representations of a group with its dual group. The concept was significantly developed by the mathematician Robert Langlands in the context of what is now known as the Langlands program.
In the context of mathematics and specifically in representation theory, a "vertex of a representation" typically refers to a specific type of representation related to quantum groups or category theory. However, the term can have different meanings depending on the specific area of study within representation theory. 1. **Graph Theory and Geometry**: In graph theory, a vertex is a fundamental part of a graph.
Facilitas by Wikipedia Bot 0
"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.
Fiction-writing mode refers to a specific mindset or approach that writers adopt when creating fictional narratives. It encompasses various elements, including the development of characters, plot, setting, and themes. When in this mode, writers immerse themselves in the world they are crafting, allowing their imagination to drive the storytelling process. Key aspects of fiction-writing mode include: 1. **Character Development**: Writers often focus on building complex characters with distinct personalities, motivations, and arcs.
Figure of speech by Wikipedia Bot 0
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.
Zoghman Mebkhout by Wikipedia Bot 0
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 by Wikipedia Bot 0
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.
Anticato by Wikipedia Bot 0
Anticato does not appear to be a widely recognized term or name as of my last update in October 2023. It could potentially refer to a product, brand, or concept that is less commonly known or might have emerged after that date. It can also be a specific reference in a niche context, such as a local business, a specific piece of art or literature, or even a misspelling of another term.
Antimetabole by Wikipedia Bot 0
Antimetabole is a rhetorical device involving the repetition of words in successive clauses or phrases, but in reverse order. This technique highlights contrast or enhances meaning through the inversion of the original phrase. A well-known example of antimetabole is the famous phrase by John F. Kennedy: "Ask not what your country can do for you—ask what you can do for your country." The reversal of structure emphasizes the shift in perspective being conveyed.
Religious rhetoric refers to the use of language and communication strategies within a religious context to convey beliefs, persuade followers, inspire action, or articulate religious teachings. It encompasses various forms of expression, including sermons, prayers, religious texts, debates, and spiritual discussions. Key components of religious rhetoric include: 1. **Persuasion**: Religious rhetoric often aims to convince individuals or communities to adopt certain beliefs, adhere to moral principles, or engage in specific practices.
Rhetoric stubs by Wikipedia Bot 0
"Rhetoric stubs" typically refer to short or incomplete articles or entries related to rhetoric on platforms like Wikipedia. In this context, a "stub" is a term used to denote a page that is too short to provide comprehensive information on a subject and is in need of expansion or elaboration. Rhetoric itself is the art of effective or persuasive communication, encompassing various techniques and strategies in writing and speech.
Rhetoric theorists are scholars and thinkers who study the art of rhetoric, which is the practice of using language effectively and persuasively in spoken or written form. Rhetoric has a long history, dating back to ancient Greece, and has been fundamental to the study of communication, persuasion, and argumentation. Rhetoric theorists analyze the strategies and techniques involved in persuasion, including the use of ethos (credibility), pathos (emotional appeal), and logos (logical argument).
Rhetoric works by Wikipedia Bot 0
"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.
Rhetoricians by Wikipedia Bot 0
"Rhetoricians" refers to individuals who specialize in rhetoric, which is the art of effective or persuasive speaking and writing. Rhetoricians study the principles and techniques of communication, examining how language can influence audiences and convey messages. This can involve analyzing the use of figures of speech, argumentation strategies, audience engagement, and the emotional appeals of discourse.
Stanzaic form by Wikipedia Bot 0
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.
Ad hominem by Wikipedia Bot 0
An ad hominem is a type of logical fallacy where an argument is rebutted by attacking the character, motive, or other attribute of the person making the argument, rather than addressing the substance of the argument itself. The term comes from Latin, meaning "to the person." For example, if someone argues that a particular policy should be enacted based on evidence and data, and the response is to criticize that person's past behavior or character (e.g.
Adoxography by Wikipedia Bot 0
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.
Ancient Indian rhetoric, often referred to as "Prāṇava" or "Vākya," encompasses the study and practice of effective communication, persuasion, and expression in ancient Indian literature and philosophical discourse. This rhetorical tradition is deeply rooted in texts from various periods, particularly associated with Sanskrit literature, philosophy, and grammar.
The Common Topics by Wikipedia Bot 0
"The Common Topics" refers to a set of predefined topics or themes often used in rhetoric, debate, and dialogue to facilitate discussion and argumentation. These topics can help individuals organize their thoughts, frame their arguments, and ensure they cover various aspects of an issue. Historically, Aristotelian rhetoric identified several common topics or "topoi" that speakers and writers could use to generate material for their speeches or writings.
The New Science by Wikipedia Bot 0
"The New Science" is commonly associated with the work of the Italian philosopher and poet Giambattista Vico. His major work, titled "Scienza Nuova" (translated as "The New Science"), was first published in 1725 and later revised in several editions. In this book, Vico presents a theory of history and culture, arguing that human societies develop in predictable stages and that history is shaped by human actions and ideas, rather than by divine intervention or natural laws.

Pinned article: ourbigbook/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 5. . 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.
  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