Antihydra GMP implementation by Ciro Santilli 37 Updated +Created
PROMYS Europe 2024 problem set / Set 2 by Ciro Santilli 37 Updated +Created
Ciro Santilli got his hands on this one. But he was unable to obtain the others. Solving them here would also pose a serious DMCA risk, so perhaps it's just not worth it.
Antihydra by Ciro Santilli 37 Updated +Created
The Antihydra is the first hard-looking problem for BB(6), what some would classify as a Collatz-like problem.
X-ray tube by Ciro Santilli 37 Updated +Created
Figure 1.
Toshiba D-088 dental X-ray tube
. Source.
Video 1.
William Coolidge explains medical imaging and X-rays (1940).
Source. Video sponsored by General Electric. A cool insight of this video is that a hot cathode is a more reliable electron source. Previous systems, and presumably including the discovery of X-rays, leftover gas in the tube was used. But this makes things more difficult to control, as we also want to remove as much gas as possible from the vacuum, otherwise electrons collide with the gas and lose energy before hitting the anode.
Video 2.
How Does X ray Tube Works by BiomedEngg
. Source. Describes in particular the rotating cathode method. Interesting observation that this is especially important since the cathode cannot cool quickly due to the vacuum.
PROMYS Europe 2024 problem set by Ciro Santilli 37 Updated +Created
PROMYS Europe application problem set by Ciro Santilli 37 Updated +Created
Oxford mathematics past exam paper by Ciro Santilli 37 Updated +Created
gmp/hello.c by Ciro Santilli 37 Updated +Created
Erbium-doped fiber amplifier by Ciro Santilli 37 Updated +Created
This one was a huge advance it seems.
Video 1.
Erbium-doped fiber amplifier by Millennium Technology Prize
. Source.
X-ray source by Ciro Santilli 37 Updated +Created
PROMYS Europe 2024 by Ciro Santilli 37 Updated +Created
PROMYS Europe problem set by Ciro Santilli 37 Updated +Created
Fiber optical amplifier by Ciro Santilli 37 Updated +Created
These are pretty cool, they are basically a laser
GMP example by Ciro Santilli 37 Updated +Created
PROMYS Europe by Ciro Santilli 37 Updated +Created
European PROMYS offshoot hosted at the University of Oxford. Started in 2015.
The structure seems to be: come every day for 6 weeks, one problem sheet per day. Go.
Strongly against giving answer to problem sets... sad, as of 2024: promys-europe.org/students/faq (archive):
When do I get the solutions to the problems on the problem sets?
When you discover them for yourself: on your own or collaborating with other students. Returning students and counsellors and faculty will support and encourage you, but not by giving you the answers (hint: they don't even give hints). What PROMYS Europe does is offer you the tools and structure to enable you to be a creative mathematician.
and:
What rules are there at PROMYS Europe?
They're mostly the ones you'd expect: don't do anything dangerous or illegal, don't divide by zero, don't even try to skip Friday Fun, and don't give anyone solutions to the problem sets (though collaboration is definitely OK).
It does not seem to be the case for the American version however after a quick look: promys.org/programs/promys/for-students/faq/. Sad to see.
Also participants are strongly forbidden from sharing the problem sheets with anyone from outside the program. Ciro Santilli asked a participant face to face if he could take a look, but was told that they are not allowed to share it. So it is a very clear and strict order. Truly sad.
Fiber-optic communication by Ciro Santilli 37 Updated +Created

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