International Mathematical Olympiad by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
Figure 1.
Logo of the International Mathematical Olympiad
. Source.
Reduced fraction by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
A "reduced fraction" is a fraction that has the smallest possible integer numerator and denominator for its value.
For example:
is not a reduced fraction, because there is another fraction equal to it but with smaller numerator and denominator:
Euler's totient function by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
TODO wtf is a "totient"? Where else is that word used besides in this concept?
Knowledge olympiad by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
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.
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
Resources to study for knowledge olympiads:
Data as a service by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
Polynomial over a commutative ring by Ciro Santilli 37 Created 2024-07-12 Updated 2025-07-16
In particular, Hilbert's tenth problem is about polynomials over the integers, which is a commutative ring, and therefore brings mindshare to this definition.

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