Bessel function Updated 2025-07-16
Shows up when trying to solve 2D wave equation on a circular domain in polar coordinates with separation of variables, where we have to decompose the initial condition in termes of a fourier-Bessel series, exactly like the Fourier series appears when solving the wave equation in linear coordinates.
For the same fundamental reasons, also appears when calculating the Schrödinger equation solution for the hydrogen atom.
Ciro's Edict #5 Link to an image or video in another file that has an
\x on title from another file Updated 2025-07-16Issue report at: github.com/ourbigbook/ourbigbook/issues/198 Suppose you had:
programming-language.ciro
= Programming language
\Image[https://raw.githubusercontent.com/cirosantilli/media/master/python-logo.jpg]
{title=The \x[python-programming-language] logo}
== Python
{c}
{disambiguate=programming-language}= Logos I like
\x[image-the-python-logo]Now, when rendering
\x[image-the-python-logo], we would need to fetch two IDs:image-the-python-logofor theTheandlogopartpython-programming-languageitself, to know that\x[python-programming-language]should render asPython
But after group all SQL queries together was done, there was no way to know that rendering
image-the-python-logo would imply also fetching python-programming-language.This was solved by adding a new database entry type,
REFS_TABLE_X_TITLE_TITLE to the existing References table, which tracks dependencies between IDs. Laser Updated 2025-07-16
What makes lasers so special: Lasers vs other light sources.
How Lasers Work by Scientized (2017)
Source. An extremely good overview of how lasers work. Clearly explains the electron/photon exchange processes involved, notably spontaneous emission.
Talks about the importance of the metastable state to achieve population inversion.
Also briefly explains the imperfections that lead to the slightly imperfect non punctual spectrum seen in a real laser.
- youtu.be/_JOchLyNO_w?t=188 says LED is "also monochromatic", but that is not strictly true, it has way way larger frequency band than a laser. Only narrower compared to other sources such as incandescent light bulbs.
- youtu.be/_JOchLyNO_w?t=517 stimulated emission. This is the key to laser formation as it produces coherent photons.
- youtu.be/_JOchLyNO_w?t=581 spontaneous emission happens too fast (100 ns), which is not enough time for stimulated emission to happen. Metastable electrons to the rescue.
- youtu.be/_JOchLyNO_w?t=832 the parallel mirrors select perpendicular photons preferentially
Elliptic curve group Updated 2025-07-16
The elliptic curve group of an elliptic curve is a group in which the elements of the group are points on an elliptic curve.
The group operation is called elliptic curve point addition.
Big O notation family Updated 2025-07-16
Bilinear form Updated 2025-07-16
Analogous to a linear form, a bilinear form is a Bilinear map where the image is the underlying field of the vector space, e.g. .
Some definitions require both of the input spaces to be the same, e.g. , but it doesn't make much different in general.
The most important example of a bilinear form is the dot product. It is only defined if both the input spaces are the same.
Elliptic curve over a finite field Updated 2025-07-16
The Equation "Definition of the elliptic curves" and definitions on elliptic curve point addition both hold directly.
Binary-to-text encoding Updated 2025-07-16
Binet Gaussienne Updated 2025-07-16
This is likely a joke binet, but the idea is epic: its members would in principle take the hardest courses and purposefully get bad grades on them to improve the grades of others, as grades are always normalized to a normal distribution.
Biochemistry Updated 2025-07-16
iubmb.onlinelibrary.wiley.com/doi/full/10.1002/bmb.2002.494030030067 Surprises and revelations in biochemistry: 1950-2000 by Perry A. Frey (2006). This should be worth a read.
BioCyc Updated 2025-07-16
Biologist Updated 2025-07-16
Biology research institute Updated 2025-07-16
Bird-and-flower painting Updated 2025-07-16
Bitcoin blockchain
j( upload system Updated 2025-07-16This is likely a system that uploads text to the blockchain.
One example can be seen on the Marijuana plant.
Messages are uploaded one line per transaction, and thus may be cut up on the blk.txt, and possibly even out of order.
But because each line starts with
j( you can generally piece things up regardless. Bitcoin Core Updated 2025-07-16
English as a universal language by Dan Dascalescu (2008) Updated 2025-07-16
Lattice Microbes Updated 2025-07-16
GPU accelerated, simulates the Craig's minimized M. genitalium, JCVI-syn3A at a particle basis of some kind.
Lab head is the cutest-looking lady ever: chemistry.illinois.edu/zan, Zaida (Zan) Luthey-Schulten.
- 2022 paper: www.cell.com/cell/fulltext/S0092-8674(21)01488-4 Fundamental behaviors emerge from simulations of a living minimal cell by Thornburg et al. (2022) published on Cell
- faculty.scs.illinois.edu/schulten/lm/ actual source code. No Version control and non-code drop release, openess and best practices haven't reached such far obscure reaches of academia yet. One day.
- blogs.nvidia.com/blog/2022/01/20/living-cell-simulation/ Nvidia announcement. That's how they do business, it is quite interesting how they highlight this kind of research.
Bitcoin wallet Updated 2025-07-16
Bitcoin whitepaper Updated 2025-07-16
Reuploaded into the blockchain itself: bitcoin.stackexchange.com/questions/35959/how-is-the-whitepaper-decoded-from-the-blockchain-tx-with-1000x-m-of-n-multisi/105574#105574 by using the Satoshi uploader.
More conveniently available on bitcoin.org: bitcoin.org/bitcoin.pdf nowadays, except when it was down for a few years due to our master Craig Steven Wright.
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