Diffraction of Cathode Rays by a Thin Film by Thomson and Reid (1927) Updated 2024-12-23 +Created 1970-01-01
ECDH has smaller keys. youtu.be/gAtBM06xwaw?t=634 mentions some interesting downsides:
- bad curves exist, while in modular, any number seems to work well. TODO why?
- TODO can't find this mentioned anywher else: Diffie-Hellman key exchange has a proof that there is no algorithm, ECDH doesn't. Which proof?
The "0-width" pulse distribution that integrates to a step.
There's not way to describe it as a classical function, making it the most important example of a distribution.
Applications:
- position operator in quantum mechanics. It's not a coincidence that the function is named after Paul Dirac.
where:
Remember that is a 4-vetor, gamma matrices are 4x4 matrices, so the whole thing comes down to a dot product of two 4-vectors, with a modified by matrix multiplication/derivatives, and the result is a scalar, as expected for a Lagrangian.
Like any other Lagrangian, you can then recover the Dirac equation, which is the corresponding equations of motion, by applying the Euler-Lagrange equation to the Lagrangian.
where:
- is the electromagnetic tensor
Note that this is the sum of the:Note that the relationship between and is not explicit. However, if we knew what type of particle we were talking about, e.g. electron, then the knowledge of psi would also give the charge distribution and therefore
- Dirac Lagrangian, which only describes the "inertia of bodies" part of the equation
- the electromagnetic interaction term , which describes term describes forces
As mentioned at the beginning of Quantum Field Theory lecture notes by David Tong (2007):
- by "Lagrangian" we mean Lagrangian density
- the generalized coordinates of the Lagrangian are fields
Predicts fine structure.
Bibliography:
How To Solve The Dirac Equation For The Hydrogen Atom | Relativistic Quantum Mechanics by Dietterich Labs (2018)
Source. DNA amplification is one of the key DNA technologies:
- it is one of the main ways in which DNA detection can be done.
- it is the first step of Illumina sequencing, since you need multiple copies of several parts of the genome for the method to work
- techcrunch.com/2022/05/31/ultima-genomics-claims-100-full-genome-sequencing-after-stealth-600m-raise/ Ultima genomics TODO technology? Promises 100 USD genome, 600M funding out of stealth...
The first found and most important known epigenetic marker.
Happens only on adenine and cytosine. Adenine methylation is much less common in mammal than cytosine methylation, when people say "methylation" they often mean just cytosine methylation.
It often happens on promoters, where it inhibits transcription.
An algebra over a field where division exists.
Can we do better than "wrong password implies random bytes"?
Can the last disk access times be checked via forensic methods?
This piece is a reference to Dragon boats from the Dragon Boat Festival.
The explosive moments presumably represent the intense rowing action of a dragon boat race competition.
TODO date composed.
Dragon boat performed by Yuanchun Yu (2021)
Source. Databases and projects:
- www.ncbi.nlm.nih.gov/pmc/articles/PMC2716027/ The Knockout Mouse Project (2004)
First install NVM/NPM as shown at and then:
git clone https://github.com/cirosantilli/cirosantilli.github.io
cd cirosantilli.github.io
npm install
ourbigbook .
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