"Signifyin'" is a term often associated with African American Vernacular English (AAVE) and refers to a form of indirect communication or expression that involves wordplay, allusion, and a sense of humor. It is a way of conveying meanings that may not be immediately clear or straightforward, often using sarcasm, irony, or metaphors. This practice can be found in various cultural contexts, including literature, music, and oral traditions.
Category theory is a branch of mathematics that focuses on the abstract study of mathematical structures and relationships between them. It provides a unifying framework to understand various mathematical concepts across different fields by focusing on the relationships (morphisms) between objects rather than the objects themselves. Here are some key concepts in category theory: 1. **Categories**: A category consists of objects and morphisms (arrows) that map between these objects. Each morphism has a source object and a target object.
"Ceyuan Haijing" (also known as "The Sea Mirror of the Complete Source") is a famous Chinese maritime literary work, often attributed to the Ming dynasty. It was written by the scholar and navigator Xu Xiake. The work is a comprehensive account of China's maritime activities, including navigation techniques, sea routes, and descriptions of various islands and coastal areas.
George Szekeres (born on February 24, 1916 – died on June 8, 2005) was a notable mathematician known for his contributions to various fields, particularly in combinatorics and number theory. He is perhaps best known for his work in the area of discrete mathematics, including his contributions to the theory of algorithms and complexity.
In category theory, a branch of mathematics, a **closed category** typically refers to a category that has certain characteristics related to products, coproducts, and exponentials. However, the term "closed category" can have different interpretations, so it's important to clarify the context. One common context is in the classification of categories based on the existence of certain limits and colimits. A category \( \mathcal{C} \) is said to be **closed** if it has exponential objects.
Combinatorial commutative algebra is a branch of mathematics that merges concepts from commutative algebra with combinatorial techniques and ideas. This field studies algebraic objects (like ideals, rings, and varieties) using combinatorial methods, often involving graph theory, polytopes, and combinatorial configurations.
Commutative algebra is a branch of mathematics that studies commutative rings and their ideals. It serves as a foundational area for algebraic geometry, number theory, and various other fields in both pure and applied mathematics. Here are some key concepts and components of commutative algebra: 1. **Rings and Ideals**: A ring is an algebraic structure equipped with two binary operations, typically addition and multiplication, satisfying certain properties.
In algebraic geometry and commutative algebra, a **complete intersection ring** is associated with a particular kind of algebraic variety, namely those that can be defined as the common zeros of a certain number of polynomials in a polynomial ring. To provide a clearer understanding, let’s go through some definitions step by step. 1. **Algebraic Variety**: An algebraic variety is a geometric object that is the solution set of a system of polynomial equations.
Computational number theory is a branch of number theory that focuses on the use of algorithms and computational techniques to solve problems related to integers and their properties. It encompasses a wide range of topics, including but not limited to: 1. **Primality Testing**: Developing algorithms to determine whether a given number is prime. Techniques such as the Miller-Rabin test and the AKS primality test are examples in this area.
Computer-Aided Design (CAD) refers to technology that utilizes computer systems and software to assist in the creation, modification, analysis, or optimization of a design. CAD is widely used across various fields, including architecture, engineering, product design, and manufacturing. Here are some key aspects of CAD: 1. **Software Applications**: CAD software can vary significantly in terms of capabilities and applications.
Paper folding, often associated with the art of origami, is the practice of creatively manipulating a sheet of paper to create various shapes, figures, or designs. This technique involves folding the paper in specific ways to achieve desired forms without cutting, gluing, or using any other adhesives. Origami, the most well-known form of paper folding, originates from Japan and has a rich history involving both traditional designs and modern interpretations, including complex geometric shapes, animals, flowers, and more.
A computer museum is an institution that preserves and showcases the history of computers, computing technologies, and related artifacts. These museums often feature exhibits that highlight the development of various computing devices, from early mechanical calculators and vacuum tube computers to modern personal computers and smartphones. The exhibits can include: 1. **Historical Computers**: Displaying early models, such as the ENIAC, IBM mainframes, or personal computers like the Apple II and Commodore 64.
In graph theory, conductance is a measure that indicates how well a graph can conduct flow between its parts. It is typically used in the context of studying random walks or the mixing properties of a graph. Conductance helps understand how well connected different regions (or communities) of a graph are.
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





