Video/The Insolvability of the Quintic
Turner, Carl (Feb 21, 2021). The Insolvability of the Quintic. local page: Aleph 0.
Excerpts from Youtube Page
This video is an introduction to Galois Theory, which spells out a beautiful connection between fields and their Galois Groups. Using this, we'll prove that the quintic has no general formula in radicals.
Must see video on this subject
For those of you who have seen this video, you must also watch the video[1] by Trevor Cheung of Mathemaniac.
Critical Connection to Petri Net
In the famous Dinning Philosopher problem, it is standard to start with at least five participants. The reason is obvious that any number below this, will have trivial behavior. However, there was rarely a document that I have found on the web that directly answers why this is the case.
The Quintic Formula
It is until I saw the explanations[2][3][4] of why there are no solutions for Quintic Formula, that finally gave me the convincing argument. It has to do with the infinite combinatorial possibilities generator by five commutators.
References
- ↑ Cheung, Trevor (Jul 3, 2022). Why can't you solve quintic equations? - Galois theory explained intuitively. local page: Mathemaniac.
- ↑ Turner, Carl (Jul 5, 2021). Why There's 'No' Quintic Formula (without Galois theory). local page: not all wrong.
- ↑ Turner, Carl (Feb 21, 2021). The Insolvability of the Quintic. local page: Aleph 0.
- ↑ Cheung, Trevor (Jul 3, 2022). Why can't you solve quintic equations? - Galois theory explained intuitively. local page: Mathemaniac.
Related Pages
Organized by:Aleph 0 Presented by:Carl Turner