The term "Exact couple" can refer to different concepts depending on the context. 1. **Mathematics**: In mathematics, particularly in the field of algebra and topology, an "exact couple" refers to a specific type of diagram used in homological algebra that combines two different chain complexes. Exact couples are used to construct spectral sequences, which are tools that allow mathematicians to compute homology groups by breaking complex problems into simpler parts.
T-Square is a software platform primarily used for project management, collaboration, and organizational tasks, particularly in the context of academic and educational environments. It is often utilized in universities and colleges to facilitate communication between students and instructors and to manage course-related content. Key features of T-Square may include: 1. **Course Management**: Instructors can create and organize course materials, including syllabi, assignments, and readings.
Solidarity refers to the unity and mutual support among individuals and groups, particularly in contexts where there is shared interest or concern. It often emphasizes the idea of standing together for a common cause, supporting one another in times of struggle, and promoting social justice. Solidarity can manifest in various ways, such as through collective action, political movements, social programs, or community support networks.
The De Rham invariant, often denoted as \( \psi \), is a topological invariant associated with smooth manifolds in differential geometry. It plays a role in the study of differential forms, cohomology, and the topology of manifolds. The De Rham invariant is particularly relevant in the context of differentiable manifolds.
A handlebody is a specific type of topological space that is often studied in the field of algebraic topology. More formally, a handlebody of genus \( g \) is defined as a quotient of a disjoint union of \( g \) solid tori by identifying their boundaries in a certain way.
Gizem Karaali is a contemporary mathematician, known for her work in the field of mathematics education, particularly in relation to gender equity in mathematics. She has been involved in research that explores how teaching practices and curricular approaches can impact student engagement and success in mathematics. Additionally, she is recognized for her contributions to promoting mathematics through various outreach initiatives, aiming to make the subject more accessible and inclusive, especially for underrepresented groups.
There is no widely recognized entity or figure known as "Judita Cofman" in the public domain, at least as of my last update in October 2023. It's possible that the name refers to a private individual, a fictional character, or a lesser-known figure not covered in major public sources.
In the context of statistical theory, particularly in the study of statistical inference and hypothesis testing, a "normal invariant" refers to certain properties or distributions that remain unchanged (invariant) under transformations or manipulations involving normal distributions. More formally, a statistic or an estimator is said to be invariant if its distribution does not change when the data undergoes certain transformations, such as changes in scale or location.
The Tennis Ball Theorem is a concept from mathematics, specifically in the area of topology and geometry. It states that every point on the surface of a sphere can be connected to any other point on the sphere by a continuous path that lies entirely on the sphere's surface. This is often illustrated using the analogy of a tennis ball, which is a spherical object.
Menachem Magidor is a prominent Israeli mathematician known for his contributions to set theory and mathematical logic. He has worked extensively in areas such as large cardinals, forcing, and the foundations of mathematics. In addition to his research, Magidor has been involved in academic leadership, serving as president of the Hebrew University of Jerusalem and contributing to the mathematical community through various roles.
Nikolai Luzin (1883–1950) was a prominent Russian mathematician known for his contributions to various fields of mathematics, particularly in the areas of mathematical analysis and topology. He played a significant role in the development of set theory and made important contributions to the theory of functions of real variables.
"Erg" can refer to different concepts depending on the context. Here are a few common meanings: 1. **Unit of Energy**: In physics, an erg is a unit of energy in the centimeter-gram-second (CGS) system. It is defined as the amount of work done when a force of one dyne is applied over a distance of one centimeter. The erg is a relatively small unit of energy, and it is mostly used in scientific contexts.
Patrick Suppes (1922-201 Suppes) was an American philosopher, educator, and pioneer in the fields of educational psychology and technology. He was known for his contributions to the development of computer-based education and his work in instructional design. Suppes was a professor at Stanford University and played a significant role in the integration of technology into education through the use of computer-assisted learning programs.
Way Kuo is a prominent figure in the field of engineering and academia, particularly known for his contributions to nuclear engineering and his leadership roles in higher education. He has served as the president of the University of Houston and has held various administrative and academic positions throughout his career. Kuo is also recognized for his research in areas such as reliability engineering and risk assessment. In addition to his administrative achievements, Kuo has published numerous research papers and has received multiple awards for his work in engineering education and research.
The "cage effect" is a term used in various scientific and technical fields, but it is most commonly associated with the fields of chemistry, biology, and materials science. In general, the cage effect refers to a phenomenon where molecules or particles are confined or trapped in a restricted space, which can influence their behavior or interactions.
Thematic roles, also known as theta roles or semantic roles, are linguistic roles that describe the relationship between a verb and its arguments (such as subjects, objects, and complements) in a sentence. These roles help to clarify the function that each participant plays in the action or state represented by the verb. Thematic roles provide a way to analyze the meaning of a sentence beyond its grammatical structure. Common thematic roles include: 1. **Agent**: The entity that performs the action.
Abstract syntax refers to a conceptual representation of the structure of a program or language's constructs, independent of the specific syntax or textual representation used to write it. In computer science, particularly in the fields of programming languages and compilers, the concept of abstract syntax is crucial for understanding how to analyze, interpret, and translate code. The abstract syntax is typically represented using an abstract syntax tree (AST), which is a tree-like structure that captures the hierarchical organization of the elements in the code.
Actancy is a concept in linguistics and semiotics that refers to the role and function of entities within a narrative or communicative framework. It is primarily concerned with how agents (who perform actions) and patients (who receive or are affected by actions) are structured within a text or discourse. The term is often associated with the work of scholars like Greimas, who explored how various participants in a narrative interact and how their relationships shape the meaning of a story.
A mesocyclone is a localized, rotating updraft that occurs within a thunderstorm and is typically associated with severe weather phenomena such as tornadoes, hail, and heavy rainfall. It is characterized by a horizontal rotation that can be tilted into a vertical orientation by the storm's updraft. Mesocyclones are often found in supercell thunderstorms, which are a specific type of severe thunderstorm known for their potential to produce significant severe weather.
Subtropical cyclones are a type of organized storm system that exhibit characteristics of both tropical and extratropical cyclones. They typically form in subtropical regions, which are areas located between tropical and temperate zones.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





