Fine structure refers to the small splittings and details observed in the spectral lines of atoms due to the interaction of the electron spin with the orbital angular momentum of the electrons in an atom. This phenomenon arises from the following effects: 1. **Spin-Orbit Coupling**: In an atom, electrons have intrinsic angular momentum (spin) and also orbital angular momentum from their motion around the nucleus.
A gain graph is a type of visual representation used to illustrate the gain or loss in a certain context, often in engineering, economics, and data analysis. While the term "gain graph" can have different specific meanings depending on the field, it typically refers to a plot or chart that displays how output or performance changes in response to varying inputs or conditions.
Coherentism is a philosophical theory of justification and truth, primarily in the fields of epistemology (the study of knowledge) and the philosophy of belief. It posits that beliefs are justified not in isolation but as part of a coherent system of beliefs. According to coherentism, a belief is justified if it fits well with other beliefs in a network, meaning that the beliefs support and reinforce one another.
Government actuaries are professionals who work within government agencies to provide critical insights through the application of actuarial science. This typically involves using mathematical and statistical methods to assess financial risks, particularly in areas like public finances, pensions, insurance, social security, and healthcare. In many countries, government actuaries are involved in various key functions, such as: 1. **Pension Valuation**: They assess the financial health of pension schemes, ensuring that they can meet their future obligations to retirees.
Friedrich Böhm was a notable German mathematician, primarily recognized for his work in the fields of geometry and topology. His contributions helped to advance various mathematical theories and concepts.
The term "Standard complex" can refer to different concepts depending on the context, but it's not a widely recognized term on its own.
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