Ciro Santilli @cirosantilli 35

Start with consulting for universities to get some cash flowing.

Help teachers create perfect courses.

At the same time, develop the website, and use the generated content to bootstrap it.

Choose a domain of knowledge, generate perfect courses for it, and find all teachers of the domain in the world who are teaching that and help them out.

Then expand out to other domains.

TODO: which domain of knowledge should we go for? The more precise the better.

Most important application: produce X-rays for X-ray crystallography.

Note however that the big experiments at CERN, like the Large Hadron Collider, are also synchrotrons.

List of facilities: en.wikipedia.org/wiki/List_of_synchrotron_radiation_facilities

Almost always too short superficial where it matters unfortunately, as usual.

Basically it is a larger space such that there exists a surjection from the large space onto the smaller space, while still being compatible with the topology of the small space.

We can characterize the cover by how injective the function is. E.g. if two elements of the large space map to each element of the small space, then we have a double cover and so on.

By GitHub around Black Lives Matter, due to a possible ludicrous relationship with slavery of black people:For the love of God, the word "master" is much more general than black slavery. If you are going to ban it, you might as well ban the word "evil".

Several software projects followed the purge from their codebases, maybe GitHub followed someone else's lead, it's hard to say.

The words "whitelist" and "blacklist" were also targeted.

The discovery of the photon was one of the major initiators of quantum mechanics.

Light was very well known to be a wave through diffraction experiments. So how could it also be a particle???

This was a key development for people to eventually notice that the electron is also a wave.

This process "started" in 1900 with Planck's law which was based on discrete energy packets being exchanged as exposed at On the Theory of the Energy Distribution Law of the Normal Spectrum by Max Planck (1900).

This ideas was reinforced by Einstein's explanation of the photoelectric effect in 1905 in terms of photon.

In the next big development was the Bohr model in 1913, which supposed non-classical physics new quantization rules for the electron which explained the hydrogen emission spectrum. The quantization rule used made use of the Planck constant, and so served an initial link between the emerging quantized nature of light, and that of the electron.

The final phase started in 1923, when Louis de Broglie proposed that in analogy to photons, electrons might also be waves, a statement made more precise through the de Broglie relations.

This event opened the floodgates, and soon matrix mechanics was published in quantum mechanical re-interpretation of kinematic and mechanical relations by Heisenberg (1925), as the first coherent formulation of quantum mechanics.

It was followed by the Schrödinger equation in 1926, which proposed an equivalent partial differential equation formulation to matrix mechanics, a mathematical formulation that was more familiar to physicists than the matrix ideas of Heisenberg.

Inward Bound by Abraham Pais (1988) summarizes his views of the main developments of the subjectit:

Bibliography:

For some reason, Ciro Santilli is mildly obsessed with understanding and visualizing the real projective plane.

To see why this is called a plane, move he center of the sphere to $z=1$, and project each line passing on the center of the sphere on the x-y plane. This works for all points of the sphere, except those at the equator $z=1$. Those are the points at infinity. Note that there is one such point at infinity for each direction in the x-y plane.

On Baidu Baike: baike.baidu.com/item/扇画/8486689

This is perhaps slightly worse than the Tinker Tailor Soldier Spy, but still amazing.

Some difficult points:

1TB.

www.disctech.com/Seagate-ST1000LM035-1TB-SATA-Hard-Drive 80 USD | web.archive.org/web/20181224201408/https://www.disctech.com/Seagate-ST1000LM035-1TB-SATA-Hard-Drive

www.seagate.com/www-content/datasheets/pdfs/mobile-hddDS1861-2-1603-en_US.pdf | web.archive.org/web/20181225095438/https://www.seagate.com/www-content/datasheets/pdfs/mobile-hddDS1861-2-1603-en_US.pdf

sudo hdparm -Tt /dev/sda3 on Ubuntu 20.04:

Nominal maximum speed: 140 MB/s

Examples: square, octahedron.

Take $(0,0,0,\dots ,0)$ and flip one of 0's to $\pm 1$. Therefore has $2\times D$ vertices.

Each edge E is linked to every other edge, except it's opposite -E.

Proportionality factor in the Planck-Einstein relation between light energy and frequency.

And analogously for matter, appears in the de Broglie relations relating momentum and frequency. Also appears in the Schrödinger equation, basically as a consequence/cause of the de Broglie relations most likely.

Intuitively, the Planck constant determines at what length scale do quantum effects start to show up for a given energy scale. It is because the Plank constant is very small that we don't perceive quantum effects on everyday energy/length/time scales. On the ${\lim }_{h\to 0}$, quantum mechanics disappears entirely.

A very direct way of thinking about it is to think about what would happen in a double-slit experiment. TODO think more clearly what happens there.

Defined exactly in the 2019 redefinition of the SI base units to:

A superstar security researcher with some major exploits from in the 2000's.

Analogous problem to the secondary structure of proteins. Likely a bit simpler due to the strong tendency for complementary pairs to bind.

The $U(1)$ unitary group is one very over-generalized way of looking at it :-)