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author | Nao Pross <np@0hm.ch> | 2021-04-15 09:54:19 +0200 |
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committer | Nao Pross <np@0hm.ch> | 2021-04-15 09:54:19 +0200 |
commit | 852e683777b8d8594ddd2a752affccb98ebc9fdf (patch) | |
tree | b8e1013e2370a1be474334fde9e35f9666e439d9 /vorlesungen/punktgruppen | |
parent | Start animating algebraic symmetries (diff) | |
download | SeminarMatrizen-852e683777b8d8594ddd2a752affccb98ebc9fdf.tar.gz SeminarMatrizen-852e683777b8d8594ddd2a752affccb98ebc9fdf.zip |
Reword video script
Diffstat (limited to 'vorlesungen/punktgruppen')
-rw-r--r-- | vorlesungen/punktgruppen/script.pdf | bin | 22284 -> 22295 bytes | |||
-rw-r--r-- | vorlesungen/punktgruppen/script.tex | 14 |
2 files changed, 7 insertions, 7 deletions
diff --git a/vorlesungen/punktgruppen/script.pdf b/vorlesungen/punktgruppen/script.pdf Binary files differindex 0893e79..044a426 100644 --- a/vorlesungen/punktgruppen/script.pdf +++ b/vorlesungen/punktgruppen/script.pdf 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} |