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There are infinitely many primes with a neighbor not further apart than 70 million. This was the first such finite bound to be proven, and therefore a major breakthrough.
This implies that for at least one value (or more) below 70 million there are infinitely many repetitions, but we don't know which e.g. we could have infinitely many:or infinitely many:or infinitely many:or infinitely many:but we don't know which of those.
The Prime k-tuple conjecture conjectures that it is all of them.
TODO vs Phylogenetic tree? www.visiblebody.com/blog/phylogenetic-trees-cladograms-and-how-to-read-them:
Cladograms and phylogenetic trees are functionally very similar, but they show different things. Cladograms do not indicate time or the amount of difference between groups, whereas phylogenetic trees often indicate time spans between branching points.
Interesting website, hosts mostly:
- datasets
- ANN models
- some live running demos called "apps": e.g. huggingface.co/spaces/ronvolutional/ai-pokemon-card
What's the point of this website vs GitHub? www.reddit.com/r/MLQuestions/comments/ylf4be/whats_the_deal_with_hugging_faces_popularity/
A pair of Austrailan deep learning training provider/consuntants that have produced a lot of good free learning materials:Authors:
- twitter.com/jeremyphoward Jeremy Howard
- twitter.com/math_rachel Rachel Thomas
Why was this so rarely used as of 2020s compared to ISBNs? It would have been perfect for helping find obscure records from Chinese traditional music and Indian classical music!
There seems to be nothing of particular artistic value as far as we've seen so far, the only interest in such tokens seems to be that:
- there are some examples that came earlier than those in the Bitcoin blockchain, notably a bit earlier than Section "BitLen"
- Namecoin is a NFT system unlike Bitcoin which is fungible, so those assets are naturally tradable
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