Legendre's three-square theorem by Ciro Santilli 35 Updated +Created
Inverse element by Ciro Santilli 35 Updated +Created
Inward Bound by Abraham Pais (1988) by Ciro Santilli 35 Updated +Created
The book unfortunately does not cover the history of quantum mechanics very, the author specifically says that this will not be covered, the focus is more on particles/forces. But there are still some mentions.
Isomers suggest that atoms exist by Ciro Santilli 35 Updated +Created
Subtle is the Lord by Abraham Pais (1982) page 85:
However, it became increasingly difficult in chemical circles to deny the reality of molecules after 1874, the year in which Jacobus Henricus van't Hoff and Joseph Achille Le Bel independently explained the isomerism of certain organic substances in terms of stereochemical properties of carbon compounds.
so it is quite cool to see that organic chemistry is one of the things that pushed atomic theory forward. Because when you start to observe that isomers has different characteristics, despite identical proportions of atoms, this is really hard to explain without talking about the relative positions of the atoms within molecules!
TODO: is there anything even more precise that points to atoms in stereoisomers besides just the "two isomers with different properties" thing?
Isomorphism by Ciro Santilli 35 Updated +Created
Something analogous to a group isomorphism, but that preserves whatever properties the given algebraic object has. E.g. for a field, we also have to preserve multiplication in addition to addition.
Other common examples include isomorphisms of vector spaces and field. But since both of those two are much simpler than groups in classification, as they are both determined by number of elements/dimension alone, see:we tend to not talk about isomorphisms so much in those contexts.
Isothermal DNA amplification techniques by Ciro Santilli 35 Updated +Created
Isothermal means "at fixed temperature".
This is to contrast with the more well established polymerase chain reaction, which requires heating and cooling the sample several times.
The obvious advantage of isothermal methods is that their machinery can be simpler and cheaper, and the process can happen faster, since you don't have to do through heating and cooling cycles.
Iterative algorithm by Ciro Santilli 35 Updated +Created
Chinese government media by Ciro Santilli 35 Updated +Created
It is not possible to teach natural sciences on Wikipedia by Ciro Santilli 35 Updated +Created
Because of edit wars and encyclopedic tone requirements. See also: Wikipedia.
Jackdaw Playing With Water by Ciro Santilli 35 Updated +Created
Considered one of the 10 famous Chaozhou music pieces TODO list.
Was also adapted by Liu Baoshan (1937-1997) as a pipa song. Ciro Santilli prefers the pipa version.
Video 1.
Jackdaw Playing With Water performed by Xu Lingzi on the guzheng at the Wiener Musikverein
. Source.
Video 2.
Jackdaw Playing With Water performed by Lin Shicheng on the pipa
. Source.
Jami (software) by Ciro Santilli 35 Updated +Created
Ciro Santilli worked on it for a brief time in 2016, when it was still called Ring, before he got fired. :-)
The people were quite nice and the project idea is fine, Ciro hopes they succeed.
Video 1.
Ring - Peer to peer network for real time communication - FOSDEM 2016 by Ciro Santilli
. Source.
For a stable society, people need assurance that they will not be spied on, so we must slightly extend the concept of private property to include personal space. Otherwise, someone repeatedly coming within a centimeter of you and using the "I'm not touching you" kindergarten taunt would be totally allowed. The extent of this personal space is context dependent, and could be the toilet, changing room, bedroom, underneath a skirt, etc. If someone's personal space is in overlap with your private property, you cannot immediately violate said space, but can ask them to leave, and take measures to remove them only if they don't comply within a reasonable timeframe.
JavaScript by Ciro Santilli 35 Updated +Created
The language all browsers converted to as of 2019, and therefore the easiest one to distribute and most widely implemented programming language.
Hopefully will be killed by WebAssembly one day.
Because JavaScript is a relatively crap/ad-hoc language, it ended up some decent tooling to make up for that, e.g. stuff like linting via ESLint and reformatting through Prettier is much more widespread than in other languages.
JavaScript data structure are also quite a bit anemic, which makes libraries such as lodash incredibly popular. But most of that stuff should be in the stdlib.
Our JavaScript examples can be found at:
Jazz fusion by Ciro Santilli 35 Updated +Created
Ciro's 2020 perfect Friday evening: jazz fusion + study quantum field theory on an Amazon Kindle. Ahhhhhh.

Pinned article: ourbigbook/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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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