3 ms·
> It was my introduction to many things, including birthday paradox and analytic solutions for tertiary equations. What is this latter? Is it https://en.wikip
by JadeNB 2y ago
> It was my introduction to many things, including birthday paradox and analytic solutions for tertiary equations.
What is this latter? Is it https://en.wikipedia.org/wiki/Cubic_equation#Cardano's_formula https://en.wikipedia.org/wiki/Cubic_equation#Cardano's_formu... ?
- dekhn 2y agoYep! He went into detail about the whole mathematical competition and how (IIRC) there's no general solution for quintics.
- JadeNB 2y ago> Yep! He went into detail about the whole mathematical competition and how (IIRC) there's no general solution for quintics. Yes, that's exactly right—no solution of the general quintic in terms of radicals. This study introduced the term "soluble", and the group-theoretic version of the insolubility of the general quintic boils down to the fact that S_5 is not soluble, whereas S_2, S_3, and S_4 all are. https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem