One day, someone will invent a way to take the hash of a piece of hardware and see its history log, like software engineers do with version control. Until then, this is as close as you can get.
Mnemonic: it gives out the amount of fluid that is going in or out of a given volume per unit of time.
Exotic and hard to find experimentally.
Topological quantum computation by Jason Alicea (2021)
Source. Not in other sections:
- Grant Green: Idle Moments (1963)
- John Abercrombie: Timeless (1975). Just close your eyes, and imagine.
- Paco de Lucía: Almoraima (1976)
- Modern Jazz Quartet: Django (1956)
- Bill Bruford Feels Good to Me (1978). Well, with Allan Holdsworth on the g
- Jean-Luc Ponty
It is hard to distinguish between colonies of unicellular organism and multicellular organism as there is a continuum between both depending on how well integrated they cells are.
Generate public private key, test encrypt and test decrypt:
# Create your pubkey.
gpg --gen-key
gpg --armor --output pubkey.gpg --export <myemail>
# Encrypt using someone's pubkey.
gpg --import pubkey2.gpg
echo 'hello world' > hello.txt
gpg --output hello.txt.gpg --encrypt --recipient <other-email> hello.txt
# Double check it is not plaintext in the encrypted message.
grep hello hello.txt.gpg
# Decrypt.
gpg --output hello.decrypt.txt --decrypt --recipient <myemail> hello.txt.gpg
diff -u hello.decrypt.txt hello.txtFinding a complete basis such that each vector solves a given differential equation is the basic method of solving partial differential equation through separation of variables.
The first example of this you must see is solving partial differential equations with the Fourier series.
Notable examples:
- Fourier series for the heat equation as shown at Fourier basis is complete for and solving partial differential equations with the Fourier series
- Hermite functions for the quantum harmonic oscillator
- Legendre polynomials for Laplace's equation in spherical coordinates
- Bessel function for the 2D wave equation on a circular domain in polar coordinates
Classic theory predicts that the output frequency must be the same as the input one since the electromagnetic wave makes the electron vibrate with same frequency as itself, which then irradiates further waves.
But the output waves are longer because photons are discrete and energy is proportional to frequency:
The formula is exactly that of two relativistic billiard balls colliding.
Compton Scattering by Compton Scattering (2017)
Source. Experiment with a caesium-137 source.Transcription factor for E. Coli K-12 MG1655 operon thrLABC as shown at biocyc.org/ECOLI/NEW-IMAGE?object=TU0-42486.
Note that this is very close to the "end" of the genome.
The algorithmic trick that solves Rubik's Cubes and breaks ciphers by polylog (2022)
Source. Talks about the Meet-in-the-middle algorithm. There are unlisted articles, also show them or only show them.