Technique to solve partial differential equations
Naturally leads to the Fourier series, see: solving partial differential equations with the Fourier series, and to other analogous expansions:
One notable application is the solution of the Schrödinger equation via the time-independent Schrödinger equation.
Unfortunately, physicists and mathematicians keep using Greek letters in their formulas, so we just have to learn them.
A helpful way to remember is to learn a bit of their history/pronunciation: Section "Historical correspondence between Latin and Greek".
To learn the greek letters if you have a base latin alphabet, you must learn the sound of each letter, and which Latin letters they correspond to.
Symbols that look like Greek letters but are not Greek letters:
Is Ciro Santilli crazy (he is, but for this point specifically), or do many/most Greek letters represent the mouth position used in the pronunciation of the letter?
Lab vs cyclotron X-ray crystallography by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
cyclotrons produce the better images, but they are expensive/you have to move to them and order a timeslot.
Lab-based just use some X-ray source from the lab, so it is much move convenient e.g. for a pharmaceutical company doing a bunch of images. The Wikipedia image shows such a self-contained lab system: en.wikipedia.org/wiki/File:Freezed_XRD.jpg
Open source software engine created for and used by Wikipedia.
An easy to prove theorem that follows from a harder to prove theorem.
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