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zellularautomaten-ausarbeitung
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Philipp Adolf
zellularautomaten-ausarbeitung
Commits
486f04cd
Commit
486f04cd
authored
Jul 25, 2016
by
Philipp Adolf
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33 deletions
+33
-33
ausarbeitung.tex
ausarbeitung.tex
+3
-3
figures.tex
figures.tex
+30
-30
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ausarbeitung.tex
View file @
486f04cd
...
@@ -205,7 +205,7 @@ Diese Mengen sind Hyperwürfel, die mit wachsendem $i$ gleichmäßig in allen Di
...
@@ -205,7 +205,7 @@ Diese Mengen sind Hyperwürfel, die mit wachsendem $i$ gleichmäßig in allen Di
\end{tikzpicture}
\end{tikzpicture}
\caption
{
\small
$
\mu
_
2
$}
\caption
{
\small
$
\mu
_
2
$}
\end{subfigure}
\end{subfigure}
\caption
{
Die Hilfsmengen für
$
d
=
2
$
und
$
r
=
1
$
. Es sind jeweils vier Blöcke gezeichnet, die Blockgrenzen sind
blau
markiert.
}
\caption
{
Die Hilfsmengen für
$
d
=
2
$
und
$
r
=
1
$
. Es sind jeweils vier Blöcke gezeichnet, die Blockgrenzen sind
grün
markiert.
}
\label
{
fig:hilfsmengen
}
\label
{
fig:hilfsmengen
}
\end{figure*}
\end{figure*}
...
@@ -249,7 +249,7 @@ Mit diesen Mengen können wir nun für $0 \leq \lambda \leq d$ folgende Mengen b
...
@@ -249,7 +249,7 @@ Mit diesen Mengen können wir nun für $0 \leq \lambda \leq d$ folgende Mengen b
\end{tikzpicture}
\end{tikzpicture}
\caption
{
\small
$
E
_
3
^
P
$}
\caption
{
\small
$
E
_
3
^
P
$}
\end{subfigure}
\end{subfigure}
\caption
{$
E
_{
\lambda
}^
P
$
für je vier Blöcke. Die Blockgrenzen sind
blau
eingezeichnet (jeweils für den Schritt
$
\lambda
$
).
}
\caption
{$
E
_{
\lambda
}^
P
$
für je vier Blöcke. Die Blockgrenzen sind
grün
eingezeichnet (jeweils für den Schritt
$
\lambda
$
).
}
\label
{
fig:ep
}
\label
{
fig:ep
}
\end{figure*}
\end{figure*}
...
@@ -286,7 +286,7 @@ Mit diesen Mengen können wir nun für $0 \leq \lambda \leq d$ folgende Mengen b
...
@@ -286,7 +286,7 @@ Mit diesen Mengen können wir nun für $0 \leq \lambda \leq d$ folgende Mengen b
\end{tikzpicture}
\end{tikzpicture}
\caption
{
\small
$
E
_
3
^
N
$}
\caption
{
\small
$
E
_
3
^
N
$}
\end{subfigure}
\end{subfigure}
\caption
{$
E
_{
\lambda
}^
N
$
für je vier Blöcke. Die Blockgrenzen sind
blau
eingezeichnet (jeweils für den Schritt
$
\lambda
$
).
}
\caption
{$
E
_{
\lambda
}^
N
$
für je vier Blöcke. Die Blockgrenzen sind
grün
eingezeichnet (jeweils für den Schritt
$
\lambda
$
).
}
\label
{
fig:en
}
\label
{
fig:en
}
\end{figure*}
\end{figure*}
...
...
figures.tex
View file @
486f04cd
...
@@ -55,8 +55,8 @@
...
@@ -55,8 +55,8 @@
\newcommand
{
\drawmuzero
}{
\newcommand
{
\drawmuzero
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,9)
}
\drawfull
{
\muzero
}{
(0,9)
}
...
@@ -67,8 +67,8 @@
...
@@ -67,8 +67,8 @@
\newcommand
{
\drawmuone
}{
\newcommand
{
\drawmuone
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
\drawfull
{
\muone
}{
(0,0)
}
\drawfull
{
\muone
}{
(0,0)
}
\drawfull
{
\muone
}{
(0,9)
}
\drawfull
{
\muone
}{
(0,9)
}
...
@@ -79,8 +79,8 @@
...
@@ -79,8 +79,8 @@
\newcommand
{
\drawmutwo
}{
\newcommand
{
\drawmutwo
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
\drawfull
{
\mutwo
}{
(0,0)
}
\drawfull
{
\mutwo
}{
(0,0)
}
\drawfull
{
\mutwo
}{
(0,9)
}
\drawfull
{
\mutwo
}{
(0,9)
}
...
@@ -91,8 +91,8 @@
...
@@ -91,8 +91,8 @@
\newcommand
{
\drawepzero
}{
\newcommand
{
\drawepzero
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,9)
}
\drawfull
{
\muzero
}{
(0,9)
}
...
@@ -113,10 +113,10 @@
...
@@ -113,10 +113,10 @@
\newcommand
{
\drawepone
}{
\newcommand
{
\drawepone
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,12) -- (18,12);
\draw
[line width=0.5mm,color=
green!50!black
] (0,12) -- (18,12);
\draw
[line width=0.5mm,color=
blue!75!white
] (12,0) -- (12,18);
\draw
[line width=0.5mm,color=
green!50!black
] (12,0) -- (12,18);
\draw
[line width=0.5mm,color=
blue!75!white
] (0,3) -- (18,3);
\draw
[line width=0.5mm,color=
green!50!black
] (0,3) -- (18,3);
\draw
[line width=0.5mm,color=
blue!75!white
] (3,0) -- (3,18);
\draw
[line width=0.5mm,color=
green!50!black
] (3,0) -- (3,18);
\drawfull
{
\muone
}{
(0,0)
}
\drawfull
{
\muone
}{
(0,0)
}
\drawfull
{
\muone
}{
(0,9)
}
\drawfull
{
\muone
}{
(0,9)
}
...
@@ -132,10 +132,10 @@
...
@@ -132,10 +132,10 @@
\newcommand
{
\draweptwo
}{
\newcommand
{
\draweptwo
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,15) -- (18,15);
\draw
[line width=0.5mm,color=
green!50!black
] (0,15) -- (18,15);
\draw
[line width=0.5mm,color=
blue!75!white
] (15,0) -- (15,18);
\draw
[line width=0.5mm,color=
green!50!black
] (15,0) -- (15,18);
\draw
[line width=0.5mm,color=
blue!75!white
] (0,6) -- (18,6);
\draw
[line width=0.5mm,color=
green!50!black
] (0,6) -- (18,6);
\draw
[line width=0.5mm,color=
blue!75!white
] (6,0) -- (6,18);
\draw
[line width=0.5mm,color=
green!50!black
] (6,0) -- (6,18);
\drawfull
{
\mutwo
}{
(0,0)
}
\drawfull
{
\mutwo
}{
(0,0)
}
\drawfull
{
\mutwo
}{
(0,9)
}
\drawfull
{
\mutwo
}{
(0,9)
}
...
@@ -146,24 +146,24 @@
...
@@ -146,24 +146,24 @@
\newcommand
{
\drawepthree
}{
\newcommand
{
\drawepthree
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
}
}
\newcommand
{
\drawenzero
}{
\newcommand
{
\drawenzero
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
green!50!black
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
[line width=0.5mm,color=
green!50!black
] (9,0) -- (9,18);
}
}
\newcommand
{
\drawenone
}{
\newcommand
{
\drawenone
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,12) -- (18,12);
\draw
[line width=0.5mm,color=
green!50!black
] (0,12) -- (18,12);
\draw
[line width=0.5mm,color=
blue!75!white
] (12,0) -- (12,18);
\draw
[line width=0.5mm,color=
green!50!black
] (12,0) -- (12,18);
\draw
[line width=0.5mm,color=
blue!75!white
] (0,3) -- (18,3);
\draw
[line width=0.5mm,color=
green!50!black
] (0,3) -- (18,3);
\draw
[line width=0.5mm,color=
blue!75!white
] (3,0) -- (3,18);
\draw
[line width=0.5mm,color=
green!50!black
] (3,0) -- (3,18);
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,9)
}
\drawfull
{
\muzero
}{
(0,9)
}
...
@@ -174,10 +174,10 @@
...
@@ -174,10 +174,10 @@
\newcommand
{
\drawentwo
}{
\newcommand
{
\drawentwo
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,15) -- (18,15);
\draw
[line width=0.5mm,color=
green!50!black
] (0,15) -- (18,15);
\draw
[line width=0.5mm,color=
blue!75!white
] (15,0) -- (15,18);
\draw
[line width=0.5mm,color=
green!50!black
] (15,0) -- (15,18);
\draw
[line width=0.5mm,color=
blue!75!white
] (0,6) -- (18,6);
\draw
[line width=0.5mm,color=
green!50!black
] (0,6) -- (18,6);
\draw
[line width=0.5mm,color=
blue!75!white
] (6,0) -- (6,18);
\draw
[line width=0.5mm,color=
green!50!black
] (6,0) -- (6,18);
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,0)
}
\drawfull
{
\muzero
}{
(0,9)
}
\drawfull
{
\muzero
}{
(0,9)
}
...
@@ -193,8 +193,8 @@
...
@@ -193,8 +193,8 @@
\newcommand
{
\drawenthree
}{
\newcommand
{
\drawenthree
}{
\drawgrid
{
17
}
\drawgrid
{
17
}
\draw
[line width=0.5mm,color=
blue!75!white
] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
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] (0,9) -- (18,9);
\draw
[line width=0.5mm,color=
blue!75!white
] (9,0) -- (9,18);
\draw
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] (9,0) -- (9,18);
\drawfull
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}{
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{
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}{
(0,0)
}
\drawfull
{
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}{
(0,9)
}
\drawfull
{
\muzero
}{
(0,9)
}
...
...
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