Classification of regular polytopes Updated +Created
The 3D regular convex polyhedrons are super famous, have the name: Platonic solid, and have been known since antiquity. In particular, there are only 5 of them.
The counts per dimension are:
Table 1.
Number of regular polytopes per dimension
.
DimensionCount
2Infinite
35
46
>43
The cool thing is that the 3 that exist in 5+ dimensions are all of one of the three families:Then, the 2 3D missing ones have 4D analogues and the sixth one in 4D does not have a 3D analogue: the 24-cell. Yes, this is the kind of irregular stuff Ciro Santilli lives for.
Closed standard Updated +Created
ISO is the main culprit of this bullshit, some notable examples related to open source software:
The only low level thing that escaped this was OpenGL via Khronos, what heroes those people are.
How the hell are you supposed to develop an open source implementation of something that has a closed standard?
Not to mention open source test suites, that would be way too much to ask for, those always end up being made by some shady small companies that go bankrupt from time to time, see e.g. .
Kerckhoffs's principle Updated +Created
Basically the opposite of security through obscurity, though slightly more focused on cryptography.
KEGG Updated +Created
For a commented initial example, see: e. Coli K-12 MG1655 gene thrA.
KEGG does the visual maps well.
But BioCyc is generally better otherwise.
OpenWorm Updated +Created
High level simulation only, no way to get from DNA to worm! :-) Includes:
3D body viewer at: browser.openworm.org/ TODO can you click on a cell to get its name?
Video 1.
OpenWorm Sibernetic demo by Mike Vella (2013)
Source. Sibernetic adds a fluid dynamics solver for brain-in-the-loop simulation of C. elegans.
Illumina Updated +Created
The by far dominating DNA sequencing company of the late 2000's and 2010's due to having the smallest cost per base pair.
Illumina actually bought their 2010's dominating technology from a Cambridge company called Solexa.
To understand how Illumina's technology works basically, watch this video: Video 1. "Illumina Sequencing by Synthesis by Illumina (2016)".
Video 1.
Illumina Sequencing by Synthesis by Illumina (2016)
Source.
The key innovation of this method is the Bridge amplification step, which produces a large amount of identical DNA strands.
Drosophila connectome Updated +Created
The hard part then is how to make any predictions from it:
  • 2024 www.nature.com/articles/d41586-024-02935-z Fly-brain connectome helps to make predictions about neural activity. Summary of "Connectome-constrained networks predict neural activity across the fly visual system" by J. K. Lappalainen et. al.
2024: www.nature.com/articles/d41586-024-03190-y Largest brain map ever reveals fruit fly's neurons in exquisite detail
As of 2022, it had been almost fully decoded by post mortem connectome extraction with microtome!!! 135k neurons.
That article mentions the humongous paper elifesciences.org/articles/66039 elifesciences.org/articles/66039 "A connectome of the Drosophila central complex reveals network motifs suitable for flexible navigation and context-dependent action selection" by a group from Janelia Research Campus. THe paper is so large that it makes eLife hang.
Stack Overflow content deletion Updated +Created
Stack overflow allows deleting content/making it visible only to 10k rep users.
Ciro Santilli is strictly against this, and this is an intended core policy of OurBigBook.com.
If you delete people's content randomly, they will be much less likely to write anything.
Getting downvoted to oblivion is one thing, but data loss? Unacceptable.
Only illegal content must ever be deleted. Or extremely obvious spam. But anything in a gray area should never be removed.
Deletion can be done by either:
  • votes of high reputation users
  • moderators
  • or worse of all, which happens often on the smaller websites: auto-deletion because come content has not received enough views/votes above some treshold! stackoverflow.com/help/auto-deleted-questions. The most illogical thing of all is that the question is not even permanently removed from the system, only hidden from other/low reputation users! So it does not save any disk space at all! Mind blowing!
Josephson voltage standard Updated +Created
The most practical/precise volt standard.
It motivated the definition of the ampere in the 2019 redefinition of the SI base units
The wiki page en.wikipedia.org/wiki/Josephson_voltage_standard contains amazing schematics of the device, apparently made by the US Government.
Figure 1.
Schematic of a typical Josephson voltage standard chip
. Source.
Figure 2.
Sam Benz demonstrating the equipment required the voltage standard
. Source.
Video 1.
The evolution of voltage metrology to the latest generation of JVSs by Alain Rüfenacht
. Source. Talk given in 2023. The speaker is from NIST, and the talk was hosted by the BIPM. Fantastic talk.
Video 2.
Technical aspects of realizing the DC volt in the laboratory with a JVS by Stéphane Solve
. Source. Talk given in 2023. The speaker is from BIPM, and the talk was hosted by the BIPM. Fantastic talk.
Lie bracket of a matrix Lie group Updated +Created
This makes it clear how the Lie bracket can be seen as a "measure of non-commutativity"
Because the Lie bracket has to be a bilinear map, all we need to do to specify it uniquely is to specify how it acts on every pair of some basis of the Lie algebra.
Then, together with the Baker-Campbell-Hausdorff formula and the Lie group-Lie algebra correspondence, this forms an exceptionally compact description of a Lie group.
Complex dot product Updated +Created
This section is about the definition of the dot product over , which extends the definition of the dot product over .
The complex dot product is defined as:
E.g. in :
We can see therefore that this is a form, and a positive definite because:
Just like the usual dot product, this will be a positive definite symmetric bilinear form by definition.
List of computational problems Updated +Created
Electric current Updated +Created
In the context of Maxwell's equations, it is vector field that is one of the inputs of the equation.
Section "Maxwell's equations with pointlike particles" asks if the theory would work for pointlike particles in order to predict the evolution of this field as part of the equations themselves rather than as an external element.
Hertz electromagnetic wave experiments Updated +Created
Heinrich Hertz's main initial experiment used a spark-gap transmitter. It is not something that transmits recorded sounds like voice: it only transmits noisy beeps. And as such was used for wireless telegraphy.
Video 1.
Hertz Experiment on Electromagnetic Waves by Ludic Science (2015)
Source. Simplified recreation with cheap modern equipment. Uses as transmitter power source both:
and the signal is observed on the receiver with a neon lamp
Video 2.
Hertz and Radio waves Explained by PhysicsHigh (2016)
Source. Simple schematics showing the basics of the experiments. No choice of components rationale.
Computer data storage hardware Updated +Created
AC Josephson effect Updated +Created
This is what happens when you apply a DC voltage across a Josephson junction.
It is called "AC effect" because when we apply a DC voltage, it produces an alternating current on the device.
By looking at the Josephson equations, we see that a positive constant, then just increases linearly without bound.
Therefore, from the first equation:
we see that the current will just vary sinusoidally between .
This meas that we can use a Josephson junction as a perfect voltage to frequency converter.
Wikipedia mentions that this frequency is , so it is very very high, so we are not able to view individual points of the sine curve separately with our instruments.
Also it is likely not going to be very useful for many practical applications in this mode.
Figure 1. . Source.
Voltage is horizontal, current vertical. The vertical bar in the middle is the effect of interest: the current is going up and down very quickly between , the Josephson current of the device. Because it is too quick for the oscilloscope, we just see a solid vertical bar.
The non vertical curves at right and left are just other effects we are not interested in.
TODO what does it mean that there is no line at all near the central vertical line? What happens at those voltages?
Video 1.
Superconducting Transition of Josephson junction by Christina Wicker (2016)
Source. Amazing video that presumably shows the screen of a digital oscilloscope doing a voltage sweep as temperature is reduced and superconductivity is reached.
Figure 2. . So it appears that there is a zero current between and . Why doesn't it show up on the oscilloscope sweeps, e.g. Video 1. "Superconducting Transition of Josephson junction by Christina Wicker (2016)"?
Oxford Brookes University Updated +Created
Fabrice Bellard Updated +Created
Creator of QEMU and FFmpeg, both of which Ciro Santilli deeply respects. And a bunch other random stuff.
What is shocking about Fabrice this is that both are insanely important software that Ciro Santilli really likes, and both seem to be completely unrelated subjects!
Google made billions on top of this dude:
At last but not least, Fabrice also studied in the same school that Ciro Santilli studied in France, École Polytechnique.
It is a shame that he keeps such a low profile, there are no videos of him on the web, and he declines interviews.
Another surprising fact is that Fabrice has not worked for the "Big Tech Companies" as far as can be publicly seen, but rather mostly on smaller companies that he co-founded: www.quora.com/Computer-Programmers/Computer-Programmers-Where-is-Fabrice-Bellard-employed
And he's also into some completely random projcts unsurprisingly:
Bibliography:
Figure 1. . Source. At a restaurant with the author apparently. Plus Miguel De Icaza who was in Paris for some conference, which they all presumably attended.
Figure 2.
Fabrice Bellard with light
. There are no in-focus images of Fabrice on the Internet.

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