From 67addea9bf154558ca3bbc14703c2b0fef8fc60c Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Mon, 1 Mar 2021 08:18:59 +0100
Subject: phases, typos

---
 vorlesungen/slides/3/division2.tex | 18 ++++++++++--------
 1 file changed, 10 insertions(+), 8 deletions(-)

(limited to 'vorlesungen/slides/3/division2.tex')

diff --git a/vorlesungen/slides/3/division2.tex b/vorlesungen/slides/3/division2.tex
index 80d6a75..0602598 100644
--- a/vorlesungen/slides/3/division2.tex
+++ b/vorlesungen/slides/3/division2.tex
@@ -12,21 +12,23 @@ $a(X) = X^4-X^3-7X^2+X+6$
 und
 $b(X) = 2X^2+X+1$
 \end{block}
+\uncover<2->{%
 \begin{block}{Lösung}
+\vspace{-15pt}
 \[
 \arraycolsep=1.4pt
 \renewcommand{\arraystretch}{1.2}
 \begin{array}{rcrcrcrcrcrcrcrcrcrcr}
-X^4&-&       X^3&-&         7X^2&+&          X&+&           6&:&2X^2&+&X&+&1&=&\frac12X^2&-&\frac34X&-\frac{27}{8} = q\\
-\llap{$-($}X^4&+&\frac12X^3&+&   \frac12X^2\rlap{$)$}& &           & &            & &    & & & & & &          & &        &             \\ \cline{1-5}
-   &-&\frac32X^3&-&\frac{15}2X^2&+&          X& &            & &    & & & & & &          & &        &             \\
-   &\llap{$-($}-&\frac32X^3&-&\frac{ 3}4X^2&-&\frac{ 3}4X\rlap{$)$}& &            & &    & & & & & &          & &        &             \\\cline{2-7}
-   & &          &-&\frac{27}4X^2&+&\frac{ 7}4X&+&           6& &    & & & & & &          & &        &             \\
-   & &          &\llap{$-($}-&\frac{27}4X^2&-&\frac{27}8X&-&\frac{27}{8}\rlap{$)$}& &    & & & & & &          & &        &             \\\cline{4-9}
-   & &          & &             & &\frac{41}8X&+&\frac{75}{8}\rlap{$\mathstrut=r$}& &    & & & & & &          & &        &             \\
+\llap{$($}X^4&-&       X^3&-&         7X^2&+&          X&+&           6\rlap{$)$}&\mathstrut\;:\mathstrut&(2X^2&+&X&+&1)&=&\uncover<3->{\frac12X^2}&\uncover<7->{-&\frac34X}&\uncover<11->{-\frac{27}{8}} = q\\
+\uncover<4->{\llap{$-($}X^4&+&\frac12X^3&+&   \frac12X^2\rlap{$)$}}& &           & &            & &    & & & & & &          & &        &             \\
+   &\uncover<5->{-&\frac32X^3&-&\frac{15}2X^2}&\uncover<6->{+&          X}& &            & &    & & & & & &          & &        &             \\
+   &\uncover<8->{\llap{$-($}-&\frac32X^3&-&\frac{ 3}4X^2&-&\frac{ 3}4X\rlap{$)$}}& &            & &    & & & & & &          & &        &             \\
+   & &          &\uncover<9->{-&\frac{27}4X^2&+&\frac{ 7}4X}&\uncover<10->{+&           6}& &    & & & & & &          & &        &             \\
+   & &          &\uncover<12->{\llap{$-($}-&\frac{27}4X^2&-&\frac{27}8X&-&\frac{27}{8}\rlap{$)$}}& &    & & & & & &          & &        &             \\
+   & &          & &             & &\uncover<13->{\frac{41}8X&+&\frac{75}{8}\rlap{$\mathstrut=r$}}& &    & & & & & &          & &        &             \\
 \end{array}
 \]
 Funktioniert, weil man in $\Bbbk[X]$ immer normieren kann
-\end{block}
+\end{block}}
 
 \end{frame}
-- 
cgit v1.2.1

