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In a station frame, a target begins at with velocity , and an interceptor launches from the origin at speed u greater than v. Straight-line interception requires its velocity components to be , and takes station time . The target-frame coordinate interval is , since . This differs from the interceptor's proper time . A symmetric return to the stationary launch point instead has target-frame round-trip coordinate duration , because its endpoint spatial separation in the station frame is zero.
A generalized gradient approximation models the exchange and correlation contribution in density functional theory using both the local electron density and its spatial gradient . Its schematic form is . It extends the local density approximation, which uses only the density at each point.
Two regions with equal density can therefore receive different energy contributions if one is nearly uniform and the other varies rapidly. This makes the approximation useful for chemical bonds, surfaces and molecular tails. The improvement is still approximate: adding density gradients does not automatically recover every long-distance interaction or the exact exchange potential. The Becke 1988 exchange functional is an example of a gradient-dependent exchange model.
The Li2 molecule. Its two valence electrons occupy a primarily 2s-derived bonding orbital; filled 1s-derived bonding and antibonding core levels do not give an additional net simple bond-order contribution.
The Li3 molecule, with three valence electrons and a bound distorted triangular structure. The equilateral open-shell arrangement is subject to Jahn-Teller coupling; electron counting alone does not establish dissociation energetics.
Greg Wilson is the first-listed author of Best Practices for Scientific Computing by Greg Wilson and others, which connects reliable scientific results to maintainable software. Its recommendations include software testing, version control, small reusable components and review of changes. These practices make it possible to inspect how an analysis was produced and detect mistakes when its implementation changes.[ref]
Best Practices for Scientific Computing by Greg Wilson and others. author list and recommendations 1–8
A paleontologist who investigated early mammalian anatomy and relationships, including competing interpretations of the origin of tribosphenic teeth.[ref]
A paleontologist who investigated terrestrial early cetacean endoskeletons and their relationship to artiodactyls.[ref]
A paleontologist who investigated three-dimensional tooth complexity and its relationship to diet in different mammalian lineages.[ref]
A paleontologist who investigated the origin of tribosphenic teeth, using phylogenetics analysis to test competing histories of mammalian dental evolution.[ref]
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





