Relative Contact Homology (RCH) is a modern invariant in symplectic and contact topology, developed as a tool for studying contact manifolds. It serves as a means of categorifying certain notions from classical contact topology and provides insights into the geometry and topology of contact manifolds when compared to other invariants.
A **homotopy sphere** is a mathematical concept in the field of topology, specifically in geometric topology. It refers to a manifold that is homotopically equivalent to a sphere. This means that, while a homotopy sphere may not be geometrically the same as a standard sphere (such as the 2-sphere \( S^2 \) in three-dimensional space), it shares the same topological properties related to how paths can be continuously deformed within it.
"Brains in Bahrain" refers to a platform or initiative aimed at fostering innovation, entrepreneurship, and knowledge sharing in Bahrain. It typically targets professionals, startups, and researchers, providing them with resources, networking opportunities, and support to develop their ideas and projects. This initiative may include events, workshops, conferences, mentorship programs, and collaborations with local and international organizations. The objective is to create a vibrant ecosystem that nurtures talent and drives economic growth within the region.
The National Organization of Short Statured Adults (NOSSA) is an organization in the United States dedicated to advocating for the rights and well-being of individuals of short stature. It serves as a resource and support network for adults who are short in stature, promoting awareness and understanding of the challenges they may face. NOSSA aims to empower its members through education, advocacy, and community engagement, fostering a sense of identity and support among individuals with short stature.
The Simple Task-Actor Protocol (STAP) is a communication framework often used in concurrent and distributed systems where multiple tasks (or actors) operate in a coordinated manner. The core idea of the protocol is to simplify the interaction between tasks, allowing for easier management of execution and resource sharing. ### Key Concepts of STAP: 1. **Actors**: In STAP, tasks are often referred to as "actors." Each actor is an independent unit of computation that can send and receive messages.
In music, the term "key" refers to the group of pitches, or scale, that forms the basis of a music composition. A piece of music is typically centered around a particular key, which determines the notes that are used most frequently and which notes will feel most stable or at rest when played. The key is indicated by a "key signature," which tells musicians which notes are sharp or flat throughout the piece.
"Hungarian nuclear physicists" refers to scientists from Hungary who specialize in the field of nuclear physics, which studies the components and behavior of atomic nuclei. Hungary has a notable history in this field, contributing significant research and discoveries through various institutions and research facilities. One of the prominent institutions is the atomic research campus in Szeged and the Hungarian Academy of Sciences, which has produced many influential nuclear physicists.
The Association Départementale Isère Drac Romanche (ADIDR) is a French organization that primarily focuses on community development and support in the Isère department, particularly in the Drac and Romanche valleys. While specific details about the organization might vary, such associations typically work on social integration, environmental sustainability, cultural promotion, and local development initiatives. They often collaborate with local authorities, NGOs, and community members to address various issues and improve the quality of life in their regions.
The Rhine Regulation refers to a series of regulatory measures and agreements aimed at managing and controlling the navigation, water quality, and flood risks along the Rhine River, which flows through several countries in Europe. The river has historically been subject to issues such as flooding, pollution, and navigational challenges due to its changing landscape and varying water levels.
Hyperion is one of the moons of Saturn and has been a rich source of inspiration for science fiction writers. Here are a few notable works that involve fictional settings on or related to Hyperion: 1. **"Hyperion" by Dan Simmons**: This is perhaps the most famous literary work associated with the name "Hyperion." It's the first book in the Hyperion Cantos series, which is set in a far-future universe where interstellar travel is common.
Chandrashekhar Khare is an Indian mathematician known for his contributions to number theory, particularly in the areas of algebraic geometry and automorphic forms. He is a professor at the University of California, Los Angeles (UCLA) and has worked on various topics, including the Langlands program and the study of L-functions.
A pilot plant is a small-scale industrial facility designed to test and validate manufacturing processes before full-scale production is implemented. It serves as a crucial step in the development of new products or processes, allowing researchers and engineers to evaluate the feasibility, efficiency, and scalability of a particular technology or production method. Key features of a pilot plant include: 1. **Scale**: It operates at a smaller scale than a full production facility but is larger than laboratory experiments.
A **profinite group** is a type of topological group that has a very specific structure. These groups are characterized by several key features: 1. **Definition**: A profinite group is a compact, totally disconnected, Hausdorff topological group that is isomorphic to the inverse limit of a system of finite groups. In more intuitive terms, you can think of profinite groups as "limits" of finite groups that retain a group structure.
Information science is an interdisciplinary field that focuses on the collection, classification, storage, retrieval, and dissemination of information. It encompasses a range of topics and practices related to the management of information in various formats and contexts, including digital, printed, and multimedia forms. Here are some key aspects of information science: 1. **Information Management**: This involves strategies and practices for organizing and maintaining information systems, ensuring that information is accessible and usable.
Microfluidic modulation spectroscopy is a technique that combines the principles of microfluidics with spectroscopic methods to analyze and manipulate small volumes of fluids at the microscale. This approach is particularly useful in various fields such as chemistry, biology, and materials science, as it allows for the study of samples with high sensitivity and precision.
Cuthbert Heath refers to a specific figure, most notably a British businessman known for his role in the insurance industry. He is perhaps best recognized for his association with the British insurance company, the **National Mutual Life Assurance Society**, where he served as managing director. Heath is often associated with various corporate practices and growth strategies during his tenure, particularly in the mid-20th century.
Thomas Tooke (1774–1858) was an English economist and statistician known for his contributions to monetary theory and the understanding of economic cycles. He is most notably recognized for his critical view of the Quantity Theory of Money, which posits that changes in the money supply directly affect price levels in an economy. Tooke argued that the relationship between money supply and prices is not as straightforward as the Quantity Theory suggests.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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