Theory that gases are made up of a bunch of small billiard balls that don't interact with each other.
This theory attempts to deduce/explain properties of matter such as the equation of state in terms of classical mechanics.
The software engineer phrasing of simplicity is the ultimate sophistication.
Like all other principles, it is not absolute.
But it is something that you should always have on the back of your mind.
You aren't gonna need it is closely related, as generally the extra unnecessary complications are set in place to accommodate useless features that will never be needed.
Not to be confused with Subtitle Edit.
If you adda bit of impurities to certain materials, at low temperatures of a few Kelvin their resistivity actually starts increasing if you go below a certain critical temperature.
Lagrangian mechanics lectures by Michel van Biezen (2017) Updated 2025-07-11 +Created 1970-01-01
Author: Michel van Biezen.
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
But too insane, and did not keep up with internet age, and so Ciro wants to kill it now.
A website, usually hosted by an university, that takes what is done in class, and pastes it online. It is already much more rational and efficient, and opens up the way for potential sharing outside of the institution (or by default paywalling as the University of Oxford did.
The fundametnal problem with VLEs is that they tend to not have enough incentives for students to contribute at all to the content. This is basically the major motivation behind OurBigBook.com.
"More complex and general" integral. Matches the Riemann integral for "simple functions", but also works for some "funkier" functions that Riemann does not work for.
Ciro Santilli sometimes wonders how much someone can gain from learning this besides the beauty of mathematics, since we can hand-wave a Lebesgue integral on almost anything that is of practical use. The beauty is good reason enough though.
E.g. you have to create several separate accounts, and different regions have completely different accounts and websites.
The Europe replacement part website for example is clearly made by a third party called flex.com/ and has Flex written all over it, and the header of the home page has a slightly broken but very obviously broken CSS. And you can't create an account without a VAT number... and they confirmed by email that they don't sell to non-corporate entities without a VAT number. What a bullshit!
Leo Szilard: The Genius Behind the Bomb
. Source. 1992. TODO an external link to the production? Producers credited at end: Helen Weiss and Alain Jehlen. As indicated at: archive.org/details/TheGeniusBehindtheBomb it was apparently produced by WGBH, public radio station from Boston.This is true. The level of competition in university entry exams in Asia in insane in the early 21st century compared to the West.
This is actually both good and bad. Good because it selects some very good exam passers. And bad because it selects some very good exam passers.
github.com/mdawsonuk/LevelDBDumper/tree/e750a27ff58443ecc410b5c16abbdc539d617387#installation worked on Ubuntu 23.10 Annoying installation, but worked: github.com/mdawsonuk/LevelDBDumper/issues/13
We can almost reach the Lie algebra of any isometry group in a single go. For every in the Lie algebra we must have:because has to be in the isometry group by definition as shown at Section "Lie algebra of a matrix Lie group".
Bibliography:
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