Yet, all breakthroughs, comes from them, because the people who are crazy enough to believe they can change the world are the ones who actually do ;-)
Sometimes systems of Diophantine equations are considered.
Problems generally involve finding integer solutions to the equations, notably determining if any solution exists, and if infinitely solutions exist.
The general problem is known to be undecidable: Hilbert's tenth problem.
The Pythagorean triples, and its generalization Fermat's last theorem, are the quintessential examples.
A polynomial with multiple input arguments, e.g. with two inputs and :as opposed to a polynomial with a single argument e.g. one with just :
All those dedicated applied mathematicians languages are a waste of society's time, Ciro Santilli sure applied mathematicians are capable of writing a few extra braces in exchange for a sane general purpose language, we should instead just invest in good libraries with fast C bindings for those languages like NumPy where needed, and powerful mainlined integrated development environments.
And when Ciro Santilli see the closed source ones like MATLAB being used, it makes him lose all hope on humanity. Why. As of 2020. Why? In the 1980s, maybe. But in the 2020s?
Bibliography:
- maths-people.anu.edu.au/~andrews/DG/ Lectures on Differential Geometry by Ben Andrews
Nice result on Lebesgue measurable required for uniqueness.
How to blackout your window without drilling by
Ciro Santilli 37 Updated 2025-07-11 +Created 1970-01-01
This is meant to be an answer to: diy.stackexchange.com/questions/27669/how-can-i-thoroughly-blackout-a-bedroom-window-on-a-budget but that question was protected and I can't answer right now because I don't have 10 reputation on the website, so here goes.
Questions for Ciro Santilli's future self by
Ciro Santilli 37 Updated 2025-07-11 +Created 1970-01-01
Future self, answer these.
20 years
- 2018-2038: are companies offering free full genome decoding just to get your genomic data and sell it to pharma companies?Someone like Ciro then creates an open source genomic database funded by health organizations that publishes genomes + phenotypes anonymously. Genome to phenotype analytics go crazy big.
40 years:
- 2017-2057: was human level AI reached (by non-bio devices :-)), even if very slow?
- 2017-2057: did China become democratic?
- 2018-2058: did impressive brain-computer interfaces show up?
There are unlisted articles, also show them or only show them.