CommonMark is a good project. But its initial release method was not very nice, they first developed everything behind closed doors with the big adopters like GitHub and Stack Overflow, and only later released the thing read, thus wasting the time of people who were working on alternative in the meanwhile, e.g. github.com/karlcow/markdown-testsuite which Ciro contributed to: Ciro Santilli's minor projects.
Coinduction is a mathematical and theoretical concept primarily used in computer science, particularly in the areas of programming languages, type theory, and formal verification. It provides a framework for defining and reasoning about potentially infinite structures, such as streams or infinite data types. In more formal terms, coinduction can be seen as a dual to induction.
The Theory of Computing Systems is a branch of computer science that deals with the foundational principles underlying computation and the design of algorithms and systems that perform computation. It encompasses a variety of topics, each focusing on different aspects of computing, including: 1. **Automata Theory**: This involves the study of abstract machines (automata) and the problems they can solve. It includes finite automata, pushdown automata, and Turing machines, which are used to formalize the concept of computation.
Thermodynamic models are mathematical representations used to describe the behavior of materials and systems in relation to thermodynamic principles, which govern the relationships between heat, work, temperature, and energy. These models are essential in various fields, including chemistry, physics, engineering, and materials science, as they help predict how substances will react under different conditions.
The Buckingham potential is a mathematical model used to describe the interaction between atoms or molecules, particularly for systems where van der Waals forces play a significant role. It is commonly used in computational chemistry and molecular dynamics simulations. The potential function captures both the attractive and repulsive interactions between particles.
The term "Flow process" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Business and Operations Management**: In this context, a flow process refers to the sequence of steps or activities that are carried out in a systematic manner to complete a task or produce a product. This can involve the movement of materials, information, or tasks through various stages, and is often visualized using flowcharts.
Heat is a form of energy that is transferred between systems or objects with different temperatures, occurring spontaneously from the hotter object to the cooler one. It is a crucial concept in the field of thermodynamics and is associated with the motion of particles within a substance.
A vortex tube is a device that separates compressed air into hot and cold air streams without any moving parts. It utilizes the principles of fluid dynamics, specifically the vortex effect, to achieve this temperature separation. **How it Works:** 1. **Compressed Air Input**: Compressed air enters the vortex tube tangentially, causing it to spin rapidly inside the tube.
"Letters from Lehrer" is a collection of essays and writings by the American journalist and writer Jim Lehrer. Jim Lehrer was well-known for his work as a news anchor and the moderator of "PBS NewsHour." In "Letters from Lehrer," he reflects on his experiences, thoughts, and observations about journalism, politics, and life. The collection showcases Lehrer's writing style, which often blends personal insights with commentary on the broader social and political landscape.
As of my last knowledge update in October 2021, Alexandr Mishchenko is not widely recognized in a specific context such as politics, literature, or entertainment. It's possible that he could be a figure in a specialized field or a more recent individual who gained prominence after my last data cutoff. If you could provide more context or specify the field in which you're interested (e.g.
John Rognes is a mathematician known for his work in algebraic topology, particularly in the areas of stable homotopy theory and structure in homotopy groups. He has made significant contributions to understanding the relationships between different topological spaces and their homotopy types. Rognes has also worked on topics related to operads and their applications in homotopy theory. He is affiliated with the University of Oslo, and his research often emphasizes the interplay between algebraic and geometric methods in topology.
Isaac Namioka is a scholar known for his work in the field of mathematics, particularly in topology and theoretical computer science. He has contributed to various publications and discussions related to these subjects.
Louis Kauffman is an American mathematician and a prominent figure in the fields of topology and knot theory. He is particularly known for his work on the mathematical underpinnings of knots and links, as well as for developing the concept of "Kauffman polynomials," which are important in knot theory. Kauffman's contributions extend into areas like algebraic topology and quantum topology. He has also engaged with mathematical visualization, promoting a deeper understanding of complex mathematical concepts through diagrams and physical representations.
Nicolai Reshetikhin is a prominent Russian mathematician known for his contributions to various areas of mathematics, including mathematical physics, representation theory, and quantum groups. He is particularly well-known for his work in the fields of knot theory and integrable systems. Reshetikhin has made significant advances in understanding the relationships between algebraic structures and topological phenomena, including the development of new invariants of knots and links.
William Threlfall is not a widely recognized figure or concept in popular culture, literature, or history that I have information on up until October 2023. It's possible that Threlfall refers to a lesser-known individual or an emerging figure. If you provide more context—such as a specific field (e.g., science, art, etc.
The small cubicuboctahedron is a type of convex polyhedron and is classified as an Archimedean solid. It belongs to the family of polyhedra that are made up of regular polygons, and it features a combination of different types of faces.
A formal manifold is a concept from the field of mathematics, particularly in differential geometry and algebraic geometry. It is primarily used in the study of smooth manifolds and formal schemes. In essence, a formal manifold is a "manifold" that is equipped with a formal structure allowing for the study of its infinitesimal properties without relying on the usual notions of topology or smoothness. Instead, it utilizes a local coordinate system that behaves much like a formal power series.
The Homotopy Excision Theorem is an important result in algebraic topology that deals with the behavior of homotopy groups under certain conditions related to pairs of spaces. In essence, it allows us to conclude that if two spaces are homotopy equivalent, then certain derived spaces (like certain subspaces and their complements) retain these equivalences within homotopy categories.
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





