Weighted graph by Ciro Santilli 35 Updated +Created
Group of Lie type by Ciro Santilli 35 Updated +Created
In the classification of finite simple groups, groups of Lie type are a set of infinite families of simple lie groups. These are the other infinite families besides te cyclic groups and alternating groups.
A decent list at: en.wikipedia.org/wiki/List_of_finite_simple_groups, en.wikipedia.org/wiki/Group_of_Lie_type is just too unclear. The groups of Lie type can be subdivided into:
The first in this family discovered were a subset of the Chevalley groups by Galois: , so it might be a good first one to try and understand what it looks like.
TODO understand intuitively why they are called of Lie type. Their names , seem to correspond to the members of the classification of simple Lie groups which are also named like that.
But they are of course related to Lie groups, and as suggested at Video "Yang-Mills 1 by David Metzler (2011)" part 2, the continuity actually simplifies things.
Git tips / diff3 by Ciro Santilli 35 Updated +Created
diff3 conflict is basically what you always want to see, either by setting it as the default as per stackoverflow.com/questions/27417656/should-diff3-be-default-conflictstyle-on-git:
git config --global merge.conflictstyle diff3
or as a one off:
git checkout --conflict=diff3
With this, conflicts now show up as:
++<<<<<<< HEAD
 +5
++||||||| parent of 7b0f59d (6)
++3
++=======
+ 6
++>>>>>>> 7b0f59d (6)
7b0f59d is the SHA-2 of commit 6.
instead of the inferior default:
++<<<<<<< ours
 +5
++=======
+ 6
++>>>>>>> theirs
We can also observe the current tree state during resolution:
* b4ec057 (HEAD, master) 5
* 0b37c1b 4
| * fbfbfe8 (my-feature) 7
| * 7b0f59d 6
|/
* 661cfab 3
* 6d748a9 2
* c5f8a2c 1
so we understand that we are now at 5 and that we are trying to apply our commit 6
So it is much clearer what is happening:
  • master changed the code from 3 to 5
  • our feature changed the code from 3 to 6
and so now we have to decide what the new code is that will put both of these together.
Let's say we decide it is 5 + 6 = 11 and continue rebasing:
git add .
git rebase --continue
We now reach:
++<<<<<<< HEAD
 +11
++||||||| parent of fbfbfe8 (7)
++6
++=======
+ 7
++>>>>>>> fbfbfe8 (7)
and the tree looks like:
* ca7f7ff (HEAD) 6
* b4ec057 (master) 5
* 0b37c1b 4
| * fbfbfe8 (my-feature) 7
| * 7b0f59d 6
|/
* 661cfab 3
* 6d748a9 2
* c5f8a2c 1
So we understand that:
  • after the previous step we added commit 6 on top of 5
  • now we are adding 7 on top of the new 6 (which we decided would contain 11)
and after resolving that one we now reach:
* e1aaf20 (HEAD -> my-feature) 7
* ca7f7ff 6
* b4ec057 (master) 5
* 0b37c1b 4
* 661cfab 3
* 6d748a9 2
* c5f8a2c 1
Ciro Santilli's sinophily by Ciro Santilli 35 Updated +Created
Two things come to mind when Ciro Santilli thinks about his sinohpilia.
There is a strong "Ciro Santilli's knowledge hoarding" side to it. Ciro has decided that he has to know EVERYTHING about China. It's culture. It's people. It's art. And so once that has been decided, it becomes inevitable.
But of course, there is also the "which part of Ciro's inner being led to that hoarding decision" part of things. Mishima's quote often comes to mind:
Every night I return to my desk precisely at midnight. I thoroughly analyze why I am attracted to a particular theme. I drag it into my conscious mind. I boil it into abstraction.
Exoticism is undoubtedly part of it.
Maybe it has something to do with growing up observing 5th+ generation Japanese Brazilians immigrants, well, being Asians and crushing it academically. But also being quiet people, and sometimes misfits. I.e., nerds.
Maybe there is also someting to do with the influence Japanese anime, highly popular during Ciro's hildhood in Brazil. Ciro, unlike many of his friends, left that relatively early, as he got into the deeper pleasures of natural sciences and then more traditional Asian culture. But still.

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