From 852e683777b8d8594ddd2a752affccb98ebc9fdf Mon Sep 17 00:00:00 2001 From: Nao Pross Date: Thu, 15 Apr 2021 09:54:19 +0200 Subject: Reword video script --- vorlesungen/punktgruppen/script.tex | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) (limited to 'vorlesungen/punktgruppen/script.tex') diff --git a/vorlesungen/punktgruppen/script.tex b/vorlesungen/punktgruppen/script.tex index e4fc63c..a1e356a 100644 --- a/vorlesungen/punktgruppen/script.tex +++ b/vorlesungen/punktgruppen/script.tex @@ -15,13 +15,13 @@ \scene{Zyklische Gruppe} \begin{totranslate} - Let's now focus our attention on the simplest class of simmetries: those - generated only by a rotation. We'll describe the symmetries with a group - \(G\), and we'll write that it is generated by a rotation \(r\) with these - angle brackets. + Let's now focus our attention on the simplest class of symmetries: those + generated by a single rotation. We describe the symmetries with a group + \(G\), and denote that it is generated by a rotation \(r\) with these angle + brackets. - Take this shape as an example. By applying the rotation \emph{action} 5 - times, it seems as if we had not done anything, furthermore, if we \emph{act} + Take this shape as an example. By applying the rotation \emph{action} 5 + times, it looks as if we had not done anything, furthermore, if we \emph{act} with higher ``powers'' \(r\), they will have the same effect as one of the previous action. Thus the group only contain the identity and the powers of \(r\) up to 4. @@ -34,7 +34,7 @@ \scene{Diedergruppe} \begin{totranslate} - Okay that was not difficult, now let's spice this up a bit. + Okay that was not difficult, now let's spice this up a bit. \end{totranslate} \scene{Symmetrische Gruppe} -- cgit v1.2.1