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| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/ringe.tex | 31 |
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diff --git a/buch/chapters/10-vektorenmatrizen/ringe.tex b/buch/chapters/10-vektorenmatrizen/ringe.tex index 42e2a7e..21b29c2 100644 --- a/buch/chapters/10-vektorenmatrizen/ringe.tex +++ b/buch/chapters/10-vektorenmatrizen/ringe.tex @@ -108,37 +108,6 @@ $c_0(\mathbb{Z})$ ist immer noch ein Ring, aber er hat kein Eins. \begin{figure} \centering \includegraphics{chapters/10-vektorenmatrizen/images/gausszahlen.pdf} -%\begin{tikzpicture}[>=latex,thick,scale=0.8] -%\draw[->] (-8.5,0) -- (8.5,0) coordinate[label={$\Re z$}]; -%\draw[->] (0,-4.5) -- (0,4.5) coordinate[label={right:$\Im z$}]; -%\foreach \x in {-8,...,8}{ -% \foreach \y in {-4,...,4}{ -% \fill (\x,\y) circle[radius=0.05]; -% } -%} -% -% -%\coordinate (O) at (0,0); -%\coordinate (A) at (2,2); -%\coordinate (B) at (-3,1); -%\coordinate (C) at (-8,-4); -%\coordinate (D) at (-1,3); -%\draw[line width=0.5pt] (A)--(D)--(B); -%\draw[->,color=red] (O) -- (A); -%\draw[->,color=red] (O) -- (B); -%\draw[->,color=blue] (O) -- (C); -%\draw[->,color=darkgreen] (O) -- (D); -%\fill[color=red] (A) circle[radius=0.08]; -%\fill[color=red] (B) circle[radius=0.08]; -%\fill[color=blue] (C) circle[radius=0.08]; -%\fill[color=darkgreen] (D) circle[radius=0.08]; -%\fill[color=black] (O) circle[radius=0.08]; -%\node[color=red] at (A) [above right] {$z$}; -%\node[color=red] at (B) [above left] {$w$}; -%\node[color=darkgreen] at (D) [above] {$z+w$}; -%\node[color=blue] at (C) [below right] {$z\cdot w$}; -% -%\end{tikzpicture} \caption{Der Ring der ganzen Gausschen Zahlen besteht aus den ganzahligen Gitterpunkten in der Gausschen Zahlenebene \label{buch:vektorenmatrizen:fig:ganzgauss}} |