"De Motu Corporum in Gyrum" (often translated as "On the Motion of Bodies in Orbits") is a work by the renowned physicist and mathematician Joseph-Louis Lagrange, published in 1811. It focuses on celestial mechanics, particularly the mathematical foundation of planetary motion and the orbits of celestial bodies, building on the work of earlier scientists like Isaac Newton.
Glenn Shafer is a prominent statistician and researcher known for his contributions to probability theory, statistics, and decision theory. He is particularly well-known for his work in developing and promoting the theory of Dempster-Shafer evidence theory, which is a framework for dealing with uncertainty and reasoning based on evidence. Dempster-Shafer theory generalizes Bayesian probability and provides a way to combine evidence from different sources and make decisions under uncertainty.
Deuterium NMR (Nuclear Magnetic Resonance) is a specialized form of NMR spectroscopy that specifically probes the behavior of deuterium (^2H or D), a stable isotope of hydrogen. Deuterium has one neutron in addition to its single proton, which alters its magnetic properties compared to regular hydrogen (^1H).
Diamond dust refers to tiny ice crystals that form in very cold, clear weather conditions, typically when the temperature is well below freezing. It often appears as a sparkling, glittery effect in the air, particularly during sunrise or sunset, when light refracts through these ice crystals, creating a visual phenomenon that resembles the twinkling of diamonds. This phenomenon is commonly observed in polar regions and during cold weather in various parts of the world.
A **differential manifold** is a mathematical structure that generalizes the concept of curves and surfaces to higher dimensions, allowing for the rigorous study of geometrical and analytical properties in a flexible setting. Each manifold is locally resembling Euclidean space, which means that around each point, the manifold can be modeled in terms of open subsets of \( \mathbb{R}^n \).
Dietrich Mahnke could refer to a specific individual, but without additional context, it's hard to determine exactly who you are referring to, as multiple individuals may share that name. If you are referring to a notable person, there is limited widely known information available about someone named Dietrich Mahnke. If you have more context or a specific field (e.g.
Differential algebraic groups are mathematical structures that arise in the study of algebraic groups and differential equations. They combine concepts from algebraic geometry and differential geometry, specifically the theory of algebraic groups over differential fields. Here’s a more detailed breakdown of the concept: ### Algebraic Groups An algebraic group is a group that is also an algebraic variety, meaning it can be defined by polynomial equations. The group operations (multiplication and inversion) are also given by regular (i.
Yevgeny Zavoisky was a notable Soviet physicist and inventor, best known for his work in the field of electron paramagnetic resonance (EPR), which is a technique used to study materials with unpaired electrons. He made significant contributions to the understanding of magnetic resonance phenomena. Zavoisky's work has had a lasting impact on fields such as chemistry, biology, and materials science, where EPR is applied to investigate the electronic structures of various substances.
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





