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-rw-r--r--vorlesungen/punktgruppen/script.pdfbin22284 -> 22295 bytes
-rw-r--r--vorlesungen/punktgruppen/script.tex14
2 files changed, 7 insertions, 7 deletions
diff --git a/vorlesungen/punktgruppen/script.pdf b/vorlesungen/punktgruppen/script.pdf
index 0893e79..044a426 100644
--- a/vorlesungen/punktgruppen/script.pdf
+++ b/vorlesungen/punktgruppen/script.pdf
Binary files differ
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}