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A relativistic gravitational theory constructed by Jacob Bekenstein using tensor, vector and scalar fields, together with a specified physical metric for matter. It illustrates how the low-acceleration phenomenology of MOND can be embedded in a theory with calculable light deflection. Matching rotation curves is not sufficient to establish its lensing or cosmological predictions.[ref]
Relativistic gravitation theory for the MOND paradigm by Jacob Bekenstein. Relativistic action and physical metric
For a finite set of positive integers, its minimum excluded positive integer isFor example, gives three, while gives one. The answer lies between one and , since those candidates cannot all lie in .
The ordinary minimum excludant permits zero and would be zero for either example, because contains only positive integers. Choosing the positive or nonnegative convention is therefore part of the definition of the desired result.
Mimulus guttatus is a yellow-flowered plant widely used in research on adaptation, hybridization and speciation. Kew treats it under the accepted name Erythranthe guttata, so the two names can refer to the same experimental species.[ref]
A deterministic Miller-Rabin primality test chooses bases justified to distinguish every composite in a specified input range, instead of sampling bases for a probabilistic guarantee. For each base, write with odd , test , and square successively according to the Miller-Rabin primality test. A failing base certifies compositeness; passing a fixed list certifies primality only under the proven range theorem for that list. For machine integers such as , established finite-range base sets permit deterministic implementations. The exact bases, bound, treatment of small primes and modular-arithmetic overflow are part of the algorithm's contract.
A lattice direction lies parallel to a plane exactly when . Indeed, their direct and reciprocal lattice vectors have dot product proportional to this expression. This statement holds for noncubic cells as well; angles between directions still require the direct-lattice metric tensor.
A microRNA family with members inducible by p53 in appropriate contexts. Forced expression and endogenous requirement are distinct: complete family deletion did not abolish the tested p53 responses in one mouse study.[ref]
Intact p53-dependent responses in miR-34-deficient mice by Carla P. Concepcion and others. Triple-family deletion
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





