Homogenous coordinates by Ciro Santilli 35 Updated +Created
Subquotient by Ciro Santilli 35 Updated +Created
That normal subgroup does not have have to be a normal subgroup of G.
As an overkill example, the happy family are subquotients of the monster group, but the monster group is simple.
Abel-Ruffini theorem by Ciro Santilli 35 Updated +Created
Video 1.
But why is there no quintic formula? by MathKiwi
. Source. 10 minutes, that's about the right length, well done.
Relativistic quantum mechanics by Ciro Santilli 35 Updated +Created
The first really good quantum mechanics theory made compatible with special relativity was the Dirac equation.
TODO: does it use full blown QED, or just something intermediate?
Quantum key distribution by Ciro Santilli 35 Updated +Created
Man-in-the-middle attack
BB84 is a good first algorithm to look into.
Long story short:
QKD uses quantum mechanics stuff to allow sharing unsnoopable keys: you can detect any snooping and abort communication. Unsnoopability is guaranteed by the known laws of physics, up only to engineering imperfections.
Furthermore, it allows this key distribution without having to physically take a box by car somewhere: once the channel is established, e.g. optical fiber, you can just keep generating perfect keys from it. Otherwise it would be pointless, as you could just drive your one-time pad key every time.
However, the keys likely have a limited rate of generation, so you can't just one-time pad the entire message, except for small text messages. What you would then do is to use the shared key with symmetric encryption.
Therefore, this setup usually ultimately relies on the idea that we believe that symmetric encryption is safer than , even though there aren't mathematical safety proofs of either as of 2020.
Political parties in the United States by Ciro Santilli 35 Updated +Created
Rigid body by Ciro Santilli 35 Updated +Created
Animation of molecular biology processes by Ciro Santilli 35 Updated +Created
Nothing makes the fact that your life is an illusion clearer than animations of molecular biology processes. You just have no idea what is going on inside your own body right now!
And don't get Ciro Santilli started on the brain and the impossibility of free will.
And yet, we live, oblivious to all of it.
Video 1.
ATP synthase in action by HarvardX (2017)
Source.
Video 3.
The Inner Life of the Cell by XVIVO Scientific Animation (2011)
Source. Also created for BioVisions from Harvard University apparently like other amazing videos. It also has the best music.
Video 4.
DNA animations by wehi.tv for Science-Art exhibition by WEHImovies (2018)
Source.
Video 5. Source. Reupload by the MRC Laboratory of Molecular Biology, which was reuploaded from www.pbslearningmedia.org/resource/den08.sci.life.stru.dengue/dengue-virus-invades-a-cell/ which was reuploaded from wherever crazy place XVIVO put it.
Clade by Ciro Santilli 35 Updated +Created
Partial derivative symbol by Ciro Santilli 35 Updated +Created
Nope, it is not a Greek letter, notably it is not a lowercase delta. It is just some random made up symbol that looks like a letter D. Which is of course derived from delta, which is why it is all so damn confusing.
I think the symbol is usually just read as "D" as in "d f d x" for .
Parallel computing library by Ciro Santilli 35 Updated +Created
OurBigBook.com / Alternatives by Ciro Santilli 35 Updated +Created
These are websites that offer somewhat overlapping services, many of which served inspirations, and why we think something different is needed to achieve our goals.
Notably, OurBigBook is the result of Ciro Santilli's experiences with:
OurBigBook could be seen as a cross between those three websites.
Quick mentions:
Static website-only alternatives:
OurBigBook.com / Funding by Ciro Santilli 35 Updated +Created
Ciro is looking for:
The initial incentive for the creators is to make them famous and allow them to get more fulfilling jobs more easily, although Ciro also wants to add money transfer mechanisms to it later on.
We can't rely on teachers writing materials, because they simply don't have enough incentive: publication count is all that matters to their careers. The students however, are desperate to prove themselves to the world, and becoming famous for amazing educational content is something that some of them might want to spend their times on, besides grinding for useless grade.
Multiomics by Ciro Santilli 35 Updated +Created
Integrating multiple omics, comes quite close to whole cell simulation.
Isotope by Ciro Santilli 35 Updated +Created
Figure 1.
Neon isotope line split photograph by J. J. Thomson
. Source. J. J. Thomson took this picture in 1912:
There can, therefore, I think, be little doubt that what has been called neon is not a simple gas but a mixture of two gases, one of which has an atomic weight about 20 and the other about 22. The parabola due to the heavier gas is always much fainter than that due to the lighter, so that probably the heavier gas forms only a small percentage of the mixture.
Nonprofit impact measurement by Ciro Santilli 35 Updated +Created
It is harder to measure the impact of nonprofits than of for-profits, since you can't just look at their bank balances.
This is one fundamental difficulty of nonprofit work, how to prove that you deserve the investments and not someone else.

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