A **P-compact group** (or **p-compact group**) is a type of topological group that plays a significant role in algebraic topology and group theory. These groups generalize the notion of compact groups, which are topological groups that are compact as topological spaces, but allow for more general structures.
A regular polytope is a multi-dimensional geometric figure that is highly symmetrical, with identical shapes and arrangements in its structure. In general, a regular polytope can be defined as a convex polytope that is both uniform (its faces are the same type of regular polygon) and vertex-transitive (the structure looks the same from any vertex).
Rotational symmetry is a property of a shape or object that indicates it can be rotated around a central point by a certain angle and still look the same as it did before the rotation. In other words, if you were to rotate the object about its central point, it would match its original configuration at certain intervals of rotation.
A symmetry group is a mathematical concept that describes the symmetries of an object or a system. In more formal terms, a symmetry group is a group composed of the set of all transformations that preserve certain properties of a geometric object, a physical system, or a solution to an equation. These transformations can include rotations, translations, reflections, and other operations.
A triskelion, also known as a triskeles or triplex, is an ancient symbol consisting of three interlocked spirals or three bent human legs. The design is typically arranged in a rotating pattern, which can symbolize motion and progress.
Microlinguistics is a subfield of linguistics that focuses on the smaller, more detailed aspects of language. It typically examines the internal structures and components of individual languages, such as phonetics, phonology, morphology, syntax, and semantics. Key areas of study within microlinguistics include: 1. **Phonetics and Phonology**: The study of sounds in human speech and the rules governing their organization and use.
"Seasons" typically refers to the four divisions of the year based on the tilt of the Earth's axis and its orbit around the Sun. These divisionsspring, summer, autumn (or fall), and winter—are characterized by changes in weather, daylight, and ecology. 1. **Spring**: Usually associated with warmer temperatures, blooming flowers, and new growth. It's often seen as a time of renewal and rejuvenation.
"Equative" refers to a grammatical or linguistic construction that expresses equality or equivalence between two elements. In various contexts, it can take different forms: 1. **Grammar:** In grammar, equative constructions often involve the use of the verb "to be" or similar verbs to indicate that two subjects are equal in some way. For example, in English, the sentence "A dog is an animal" makes an equative statement by asserting that a dog and an animal are equivalent.
The term "Imperativus Pro Infinitivo" (often abbreviated as IPI) refers to a grammatical construct in Latin where the imperative mood is used in place of an infinitive. This usage typically serves to express commands, requests, or obligations in a way that would usually be conveyed with an infinitive form. In many instances, this construction can occur in indirect speech or in contexts where a more direct command is preferred.
Coreference is a linguistic phenomenon in which two or more expressions in a text refer to the same entity or individual. For example, in the sentences "Lisa went to the store. She bought some groceries," the pronoun "she" is a coreferential expression that refers back to "Lisa.
Interactional linguistics is an interdisciplinary field that studies how language functions in social interactions. It combines insights from linguistics, sociology, conversation analysis, and discourse analysis to explore how people use language in real-time communication. The focus is often on the nuances of spoken interaction, including the ways in which language constructs social meaning, identity, and relationships among speakers.
The term "nearest referent" is often used in the context of linguistics, semantics, and discourse analysis. It refers to the closest entity or concept that a pronoun, demonstrative, or other referring expression points to within a given context.
Attributional calculus, often referred to in the context of reasoning and inference systems, is a formal framework used to model and manipulate complex relationships between events, entities, or concepts. Although not a widely recognized term in standard mathematical literature, the concept can generally relate to reasoning about causation and the attribution of causes and effects within a logical framework.
Phi features, often referred to in the context of genetic modifications or advanced biotechnology, can represent a variety of concepts depending on the specific field of study or application. However, in a general sense, "Phi features" might not refer to a widely recognized or established concept as of my last training cut-off in October 2023.
Phrase structure rules, also known as rewrite rules, are a set of formal grammatical rules used in generative grammar to describe the structure of phrases and sentences in a language. These rules define how symbols (which can represent words, phrases, or other grammatical constructs) can be combined to form larger grammatical units. The basic idea is that phrases can be generated from smaller constituents based on these rules.
Pseudogapping is a syntactic phenomenon in linguistic theory, particularly within the field of generative grammar. It involves a type of ellipsis where part of a verb phrase (often including a verb and certain complements or adjuncts) is omitted, while some parts remain overt. This results in a structure that gives the appearance of a gap but does not neatly fit into traditional ellipsis patterns like gapping or sluicing.
Dynamic semantics is a theoretical approach to understanding the meaning of linguistic expressions that focuses on how context and discourse evolve over time during communication. Unlike static semantics, which views meaning as fixed and derived from the lexical and grammatical properties of expressions alone, dynamic semantics considers how the meaning of sentences can change based on the discourse context and how they interact with previous statements.
Dubnium is a synthetic chemical element with the symbol Db and atomic number 105. It is named after Dubna, a town in Russia where the Joint Institute for Nuclear Research is located, and where the element was first synthesized in 1968 by a team of Russian and American scientists. Dubnium is a member of the actinide series, and it is placed in the d-block of the periodic table's group 5, which makes it part of the transition metals.
Lawrencium is the chemical element with the symbol Lr and atomic number 103. It is classified as a synthetic element and belongs to the actinide series of the periodic table. Lawrencium was first synthesized in 1961 by a team of scientists at the University of California, Berkeley, and it was named in honor of Ernest O. Lawrence, the inventor of the cyclotron.

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