"Sumario Compendioso," often referred to in the context of literature and historical texts, is a Spanish term that translates to "Concise Summary" or "Brief Summary." Depending on the specific context, it can refer to various writings or documents that aim to provide a succinct overview of a larger work or subject matter. In many instances, such summaries are used to distill complex ideas, themes, or events into a more manageable form for easier understanding or reference.
"Mathematical Models" by Fischer typically refers to a specific work or textbook authored by mathematician and educator, likely focusing on the application of mathematical concepts and techniques to model real-world phenomena. Mathematical modeling involves creating abstract representations of systems or processes using mathematical structures, which can be used to analyze, predict, or simulate behavior.
Mechanica can refer to a few different concepts depending on the context. Here are a few interpretations: 1. **Mechanica (Game)**: There's a video game called "Mechanica," which is an indie title that involves mechanics and puzzles. Players often engage in building and manipulating machines to solve challenges.
Metric structures for Riemannian and non-Riemannian spaces refer to mathematical frameworks used to study the geometric and topological properties of spaces equipped with a metric, which measures distances between points. The distinction between Riemannian and non-Riemannian spaces primarily revolves around the kinds of metrics used and the geometric structures that arise from them. ### Riemannian Spaces 1.
A **taut submanifold** is a concept from differential geometry and relates to certain properties of submanifolds within a larger manifold, particularly in the context of Riemannian geometry and symplectic geometry. In general, a submanifold \( M \) of a manifold \( N \) is said to be **taut** if it can be defined as the zero locus of a smooth section of a certain bundle over \( N \).
Mikhail Potapov is a mathematician known for his work in various fields within mathematics, including functional analysis, operator theory, and applications of mathematics to physical problems. He has contributed to the understanding of mathematical structures and their implications in theoretical contexts.
A greedoids is a combinatorial structure that generalizes the concept of matroids. It is defined as a pair \( (E, I) \), where \( E \) is a finite set and \( I \) is a collection of subsets of \( E \) that satisfies certain properties. Specifically, a collection \( I \) must adhere to the following: 1. **Non-empty**: The collection \( I \) must contain the empty set.
The Tutte graph is a specific, well-known example of a cubic graph (3-regular graph) that is often studied in the field of graph theory. It has several interesting properties and characteristics: 1. **Vertices and Edges**: The Tutte graph has 46 vertices and 69 edges. It is one of the smallest cubic graphs that is not 3-colorable, meaning it cannot be colored with three colors without two adjacent vertices sharing the same color.
Eileen A. Joy is an academic and editor known for her work in literary studies, particularly in the fields of medieval studies, feminist theory, and the intersection of literature and digital culture. She is one of the founding members of the online academic community called "In the Middle" and has contributed to discussions on open access publishing and scholarly communication. Her research often explores themes such as medieval literature, the history of the book, and the implications of digital technology in academia.
The Morton number (Mo) is a dimensionless quantity used in fluid mechanics and heat transfer to characterize the relative significance of buoyancy forces to viscous forces and surface tension effects in a fluid system. It is particularly useful in the study of multiphase flow, such as in the case of droplets or bubbles in a liquid.
Internet art, often referred to as net art or web art, is a form of artistic expression that utilizes the internet as a primary medium. This genre encompasses a wide range of artistic practices that explore the unique characteristics and possibilities of the digital environment. Here are some key features and concepts associated with Internet art: 1. **Digital Medium**: Internet art is created using digital technology and is often meant to be experienced online.
BT Research refers to the research and development activities conducted by BT Group plc, a British multinational telecommunications company. BT Group is known for its work in telecommunications, networking, and digital services, and its research efforts are aimed at advancing technologies that enhance communication and connectivity. BT Research often focuses on various areas, including: 1. **Network Technologies**: Developing and improving broadband, mobile, and fiber optic technologies to enhance network performance and reliability.
Arche is one of the moons of Jupiter, specifically classified as a member of the Carme group of moons. It was discovered in 1979 by astronomers from the Royal Greenwich Observatory. Arche has a diameter of about 3.2 kilometers (approximately 2 miles) and orbits Jupiter at an average distance of around 23 million kilometers (about 14 million miles).
KC Claffy is a well-known researcher in the field of computer science, particularly recognized for her work in internet measurement, network security, and the analysis of Internet traffic. She is the founder of the Cooperative Association for Internet Data Analysis (CAIDA), an organization that focuses on the study and analysis of the Internet's infrastructure and performance. Claffy's research often involves understanding the topology and dynamics of the Internet, as well as examining the implications of network measurement for policy and governance.
Sergey Lozhkin is a name that may refer to different individuals depending on the context, but one notable figure by that name is a Russian artist and illustrator known for his unique and whimsical art style, often featuring fantasy elements and colorful, imaginative scenes. He has gained attention on social media platforms for his engaging and visually striking illustrations, as well as his work in children's books and other creative projects.
In differential geometry, an **affine bundle** is a generalization of the concept of a vector bundle. While a vector bundle provides a way to associate a vector space to each point in a base manifold, an affine bundle allows for a more general structure, specifically associating an affine space to each point of the manifold.
Svetlana Katok is a prominent mathematician known for her contributions to dynamical systems, particularly in areas involving smooth ergodic theory and the stability of Hamiltonian systems. She has worked extensively on understanding the behavior of dynamical systems and the underlying mathematical structures. Katok has also been involved in educational initiatives, including co-authoring textbooks and developing resources for teaching mathematics.
Vijay Kumar is a prominent roboticist and engineer known for his work in the fields of robotics, autonomous systems, and unmanned aerial vehicles (UAVs). He is a professor at the University of Pennsylvania, where he is affiliated with the Department of Mechanical Engineering and Applied Mechanics, as well as the Department of Computer and Information Science. Kumar has made significant contributions to the development of flying robots, including swarms of drones that can perform tasks collaboratively.
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





