A one-sided limit refers to the value that a function approaches as the input approaches a particular point from one side, either the left or the right. There are two types of one-sided limits: 1. **Left-Hand Limit**: This is denoted as \( \lim_{x \to c^-} f(x) \) and represents the value that \( f(x) \) approaches as \( x \) approaches \( c \) from the left (i.e.
Sean's series The Biggest Ideas in the Universe has some merit, but it's just to math-light falling a bit below the missing link between basic and advanced.
The Purpose of Harvard is Not to Educate People by Sean Carroll (2008) by
Ciro Santilli 40 Updated 2025-07-16
Maybe they did try once though: Harvard Project Physics.
The PC-1, or PC-1 computer, refers to a specific model of personal computer that was introduced by various manufacturers during the early evolution of personal computing. However, the term "PC-1" isn't as commonly recognized as others, such as the IBM PC or Apple's early offerings. The most widely known "PC" refers to IBM's Personal Computer, which debuted in 1981 and set the standard for compatible personal computers.
How To Get Tenure at a Major Research University by Sean Carroll (2011) by
Ciro Santilli 40 Updated 2025-07-16
While learning black-hole stuff is not on top of Ciro Santilli's priorities, Hawking's spirit is to be admired.
An ex-physicist colleague who had met Hawking told an anecdote. Hawking was around in the department one day, they said hi and all. But then Hawking wanted to tell a joke. It took like 5 minutes of typing, and you can imagine that things were pretty awkward and the joke's timing was "a bit off". But Hawking did tell the joke nonetheless.
This is also suggested in the The Theory of Everything (2014) film, and therefore likely the biographies.
Ciro Santilli feels a bit like this guy:
- he's also an idealist, even more than Ciro. So cute. Notably, he he also dumps his brain online into pages that no-one will ever read
- he also thinks that the 2010's education system is bullshit, e.g. settheory.net/learnphysics
- trust-forum.net/ some kind of change the world website. But:is a sin to Ciro. Planning a change the world thing behind closed doors? Really? Decentralized, meh.
- antispirituality.net/ his atheism website
singlesunion.org/ so cute, he's looking for true love!!! This is something Ciro often thinks about: why it is so difficult to find love without looking people in the eye. The same applies to jobs to some extent. He has an Incel wiki page: incels.wiki/w/Sylvain_Poirier :-)
Notably, given the domain name, it is clear that he likes formalization of mathematics-stuff, like Ciro Santilli.
The dude was brutal. Ron Maimon praises that at youtu.be/ObXbKbpkSjQ?t=944 from Video "Ron Maimon interview with Jeff Meverson (2014)".
The most important ones are:
- theory of everything. We are certain that our base equations are wrong, but we don't know how to fix them :-)
- full explanation of high-temperature superconductivity. Superconductivity already has a gazillion applications, and doing it in higher temperatures would add a gazillion more, and maybe this theoretical explanation would help us find new high temperature superconducting materials more effectively
- fractional quantum Hall effect 5/2
Other super important ones:
- neutrino mass measurement and explanation
This is perhaps slightly worse than the Tinker Tailor Soldier Spy, but still amazing.
Some difficult points:
- how did the general deduce that the old woman's daughter had a link to Karla? It must be linked to the fact that the Russian agent who made the offer was a Karla-man.
- some things are hard to understand without having seen the previous Tinker Tailor Soldier Spy, e.g. they say nothing clearly who Toby Esterhase is, he now works on art sales
- but others are inconsistent, e.g. they changed the actor for Peter Guillam...
Smiley's letter to Karla scene from Smiley's People 1982 BBC miniseries John le Carré adaptation EP6o
. Source. Fan-uplod by Ciro Santilli, one of the greatest television scenes ever. Blocked in the UK.By the creator of SymPy, who works at Los Alamos National Laboratory and has a PhD in chemical physics: swww.linkedin.com/in/ondřej-čertík-064b355b/ Man, big kudos to this dude.
This is quite in-depth, pretty good.
Unrelated to the Khan Academy.
Cute simple paper-cut stop motion animations videos by Mithuna Yoganathan, a PhD in theoretical physics at the University of Cambridge: www.damtp.cam.ac.uk/person/my332.
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 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. 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.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - 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









