diff --git a/tex/complex-ana/quintic.tex b/tex/complex-ana/quintic.tex index ea2fa1dc..48c3ee48 100644 --- a/tex/complex-ana/quintic.tex +++ b/tex/complex-ana/quintic.tex @@ -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}