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Ultimate explanation: math.stackexchange.com/questions/776039/intuition-behind-normal-subgroups/3732426#3732426
Does not have to be isomorphic to a subgroup:
This is one of the reasons why the analogy between simple groups of finite groups and prime numbers is limited.
OurBigBook Web error reporting starting to look amazing.
Source. I guess ended up doing all the "how things should look like" features because they clarify what the website is supposed to do, and I already have my own content to bring it alive via
ourbigbook --web upload.But now I honestly feel that all the major elements of "how things should look like" have fallen into place.
I was really impressed by Trillium Notes. I should have checked it long ago. The UI is amazing, and being all Js-based, could potentially be reused for our purposes. The project itself is a single-person/full trust notetaking only for now however, so not a direct replacement to OurBigBook.
- upload all of cirosantilli.com to ourbigbook.com. I will do this by implementing an import from filesystem functionality based on the OurBigBook CLI. This will also require implementing slit headeres on the server to work well, I'll need to create one
Articlefor every header on render. - get
\xand\Includeworking on the live web preview editor. This will require creating a new simple API, currently the editor jus shows broken references, but final render works because it goes through the database backend - implement email verification signup. Finally! Maybe add some notifications too, e.g. on new comments or likes.
Some smart people just brought up to my attention that OurBigBook.com is a bit like: roamresearch.com/ and other graph knowledges. I feel ashemed for not having seen this software and its alternatives before. I was so focused on the "book aspect" of it that I didn't search much in there. I couldn't find an immediate project killer superset from the options in that area, but maybe one exists. We'll see.
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