The Gelfond–Schneider constant is a mathematical constant denoted by \( e^{\sqrt{2}} \). It is named after the mathematicians Aleksandr Gelfond and Reinhold Schneider, who proved its transcendental nature.
In mathematics, particularly in the area of additive combinatorics, a sumset is a set formed by the sum of elements from two or more sets.
Superferromagnetism is a phenomenon that refers to a type of magnetic ordering characterized by a special alignment of magnetic moments in materials. In typical ferromagnets, the magnetic moments of neighboring atoms align parallel to each other, leading to a net macroscopic magnetization. However, in superferromagnetic materials, there is a unique situation where a significant population of atoms can align in parallel, resulting in an exceptionally strong magnetization.
Combat modeling refers to the use of mathematical, statistical, or simulation-based techniques to analyze, predict, and simulate military operations and combat scenarios. It aims to understand and assess the dynamics of warfare, the effectiveness of military strategies, and the outcomes of various tactical decisions. Combat models can vary in complexity, from simple analytical models to sophisticated computer simulations that account for numerous variables, including: 1. **Forces and Assets**: Representation of units, equipment, and personnel involved in combat operations.
Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamic systems. It focuses on the design and implementation of controllers that manage the system's behavior to achieve desired objectives. Control theory is used in various applications, including aerospace, automotive, robotics, manufacturing, and process control. At its core, control theory strives to develop mathematical models of systems and to analyze their behavior over time.
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