10You literally have written a book.
7 - 9Expert, go-to person on this technology.
5 - 6Solid daily working knowledge. Highly proficient.
3 - 4Comfortable working with this, have to check manual on some things.
1 - 2Have worked with it previously but either not much, or rusty.
I copied this grading scale mechanism from a failed Google interview ;-)
One problem with it is that I am always very hesitant to put a 5 on anything, who can not look at the documentation?
It is also hard to scope things right. Who can claim to be a C++ or Linux kernel expert, even if you wrote a book about it, since those are such humongous topics?
As a result, I haven't updated this in a while, and things may be out of date.
If your project does something that interests me, I can what it takes to contribute. Tell me what I must know, how long I have to learn it, and I'll call you back when I've mastered it.
Cartesian product by Ciro Santilli 40 Updated 2025-07-16
A function that maps two sets to a third set.
Direct product by Ciro Santilli 40 Updated 2025-07-16
A Cartesian product that carries over some extra structure of the input groups.
E.g. the direct product of groups carries over group structure on both sides.
E notation by Ciro Santilli 40 Updated 2025-07-16
What do you prefer, 1 \times 10^{10} or 1E10.
The impact of the work is greater when you examine what one single new technology would do to existing society, as in Primer (2004), rather than "start on a society with severl new technologies", like in Star Wars.
Bill Nye by Ciro Santilli 40 Updated 2025-07-16
Maybe we need these people, maybe we do.
The problem as with many well known science communicators is that he falls too much on the basic side of the the missing link between basic and advanced.
Video 1.
Bill Nye isn't really a Scientist (& why that shouldn't matter) by BobbyBroccoli (2017)
Source. Bobby's personal overview of Bill's carrier.
The Robotics team at TRI is working hard to close the gap between simulation and reality. For manipulation, one important piece is accurate simulation of rigid-body contact.
Commutative ring by Ciro Santilli 40 Updated 2025-07-16
Two ways to see it:
Division ring by Ciro Santilli 40 Updated 2025-07-16
Two ways to see it:

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!
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