Euler's totient function by Ciro Santilli 35 Updated +Created
TODO wtf is a "totient"? Where else is that word used besides in this concept?
Knowledge olympiad by Ciro Santilli 35 Updated +Created
Events that trick young kids into thinking that they are making progress, but only serve to distract them from what really matters, which is to dominate a state of the art as fast as possible, contact researches in the area, and publish truly novel results.
Financially backed by high schools trying to make ads showing how they will turn your kids into geniuses (but also passionate teachers who fell into this hellish system), or companies who hire machines rather than entrepreneurs.
The most triggering thing possible is when programming competitions don't release their benchmarks as open source software afterwards: at least like that they might help someone to solve their real world problems. Maybe.
On a related note, hackathons are also mostly useless. Instead of announcing a hackathon, just announce a web forum where people with similar interests can talk to one another instead, and let them code it out on GitHub if they want to. Restricting intensive development to a few days tends to produce crappy code and not reach real goals.
Some irrelevant people highlight that knowledge Olympiads can have good effects, because they are "an opportunity to meet university teachers and their research organizations". Ciro's argument is just that there are much more efficient ways to achieve those goals.
As an alternative way to get into university, this is not 100% horrible however, e.g. the University of São Paulo accepted students from olympiads in 2019 and then again 2023: jornal.usp.br/institucional/usp-oferece-200-vagas-em-mais-de-100-cursos-de-graduacao-para-alunos-participantes-de-olimpiadas-do-conhecimento/?a
Millennium Technology Prize by Ciro Santilli 35 Updated +Created
Greatest common divisor algorithm by Ciro Santilli 35 Updated +Created
Crunchbase by Ciro Santilli 35 Updated +Created
Data as a service by Ciro Santilli 35 Updated +Created
Polynomial over a commutative ring by Ciro Santilli 35 Updated +Created
Unlike over non-commutative rings, polynomials do look like proper polynomials over commutative ring.
In particular, Hilbert's tenth problem is about polynomials over the integers, which is a commutative ring, and therefore brings mindshare to this definition.
Algebraic equation modulo n by Ciro Santilli 35 Updated +Created
Algebraic equation over a field by Ciro Santilli 35 Updated +Created
In this section we collect results about algebraic equations over more "exotic" fields
Domain of a polynomial by Ciro Santilli 35 Updated +Created
@cirosantilli/_file/numpy/numpy/fft_plot.py by Ciro Santilli 35 Updated +Created
Generates numpy/fft_plot.svg, the plot of with 25 points and its DFT.
Figure 1.
DFT of with 25 points
. Source code at: numpy/fft_plot.py.
Atmosphere of Earth by Ciro Santilli 35 Updated +Created
BB(6) is hard by Ciro Santilli 35 Updated +Created
wiki.bbchallenge.org/wiki/Antihydra:
BB(6) by Ciro Santilli 35 Updated +Created
PROMYS by Ciro Santilli 35 Updated +Created
The good:
The bad: everything else. Closed source learning materials + a university-like selection program. Such a waste of efforts that could benefit way more people with more open resources.
meta.mathoverflow.net/questions/4889/request-to-keep-an-eye-out-for-promys-admissions-problems asking to remove PROMYS problems from MathOverflow. And it seems to have been mostly accepted. Newbs. Any maths problem should be allowed to be askeable online. There are no fundamentally new problems, copyright takedown is just silly.

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