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Incompleteusern committed Nov 23, 2023
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5 changes: 3 additions & 2 deletions tex/complex-ana/quintic.tex
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Expand Up @@ -16,10 +16,11 @@ \section{The Game Plan}

Now, any proposed quintic formula $F$ receives the same coefficients when the roots are the same,
and thus gives the same output. This is fine at first glance, but swapping two roots continuously
might pose more issues. $F$ must create and preserve the order of the roots under these permutations.
might pose more issues. $F$ must create and preserve some order of the roots under these permutations.

\begin{ques}
Convince yourself this is true.
Convince yourself any $F$ indeed must track which root is which when moving roots along
smooth paths.
\end{ques}

\begin{remark}
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