mirror of
https://github.com/vale981/TUD_MATH_BA
synced 2025-03-05 09:31:39 -05:00
weiter PROG 2
This commit is contained in:
henrydatei
parent
f6ab960d07
commit
58eb28e611
11 changed files with 1406 additions and 6 deletions
|
|
@ -0,0 +1,55 @@
|
|||
\begin{*anmerkung}
|
||||
Der Inhalt dieses ganzen Kapitels ist eigentlich nicht prüfungsrelevant.
|
||||
\end{*anmerkung}
|
||||
|
||||
\section{Addition $n$-stelliger ganzer Zahlen}
|
||||
|
||||
Wir werden im Folgenden folgende Notationen verwenden:
|
||||
\begin{itemize}
|
||||
\item OR: $x+y$
|
||||
\item AND: $x\cdot y$
|
||||
\item NOT: $\overline{x}$
|
||||
\item XOR: $x\oplus y$
|
||||
\end{itemize}
|
||||
|
||||
Beim \begriff{Halbaddierer} ist die Summe $s=a\oplus b$ und der Übertrag (carry) $c=a\cdot b$.
|
||||
|
||||
\begin{figure}[ht]
|
||||
\centering
|
||||
\includegraphics{images/Halbaddierer.png}
|
||||
\caption{Halbaddierer}
|
||||
\end{figure}
|
||||
|
||||
Der \begriff{Volladdierer} besteht aus 2 Halbaddierern. Die Summe $s$ ist hier: $s=a\overline{b}\overline{c_{in}}+\overline{a}b\overline{c_{in}}+\overline{a}\overline{b}c_{in}abc_{in}+a\oplus b\oplus c_{in}$. Der Übertrag ist $c_{out}=ab+ac_{in}+bc_{in}$.
|
||||
|
||||
\begin{figure}[ht]
|
||||
\centering
|
||||
\includegraphics{images/Volladdierer.png}
|
||||
\caption{Volladdierer}
|
||||
\end{figure}
|
||||
|
||||
Mit dem \begriff{Carry-Ripple-Adder} kann man dann endlich zwei $n$-stellige Zahlen addieren:
|
||||
\begin{itemize}
|
||||
\item $a=[a_{n-1}a_{n-2}...a_1a_0]_2$
|
||||
\item $b=[b_{n-1}b_{n-2}...b_1b_0]_2$
|
||||
\end{itemize}
|
||||
|
||||
\begin{figure}[ht]
|
||||
\centering
|
||||
\includegraphics{images/Carry-Ripple-Adder.png}
|
||||
\caption{Carry-Ripple-Adder}
|
||||
\end{figure}
|
||||
$\Rightarrow T(n)=\mathcal{O}(n\cdot T_{FA})$
|
||||
|
||||
Machen wir zum Schluss noch eine Übertragsanalyse: Eine Bitposition $i\in\{0,1,...,n-1\}$ kann 3 verschiedene Übertragsfälle annehmen:
|
||||
\begin{enumerate}
|
||||
\item kein Übertrag möglich, wenn $a_i=b_i=0$
|
||||
\item Übertrag wird weitergeleitet (\begriff{carry propergate}) $p=a_i\oplus b_i$
|
||||
\item Übertrag wird auf jeden Fall generiert (\begriff{generate bit}) $g=a_i\cdot b_i$
|
||||
\end{enumerate}
|
||||
|
||||
Rekursionsbeziehung:
|
||||
\begin{align}
|
||||
c_{i+1} &= g_i+p_i\cdot c_i=a_ib_i+(a_i\oplus b_i)c_i=a_ib_i+(a_i+b_i)c_i \notag \\
|
||||
c_{i+1} &= \underbrace{g_i+p_ig_{i-1}+p_ip_{i-1}g_{i-2}+...+p_ip_{i-1}...p_1g_0}_{G_{0,i}} + \underbrace{p_ip_{i-1}...p_1p_0}_{P_{0,i}}\cdot c_0\notag
|
||||
\end{align}
|
||||
|
|
@ -1,9 +1,9 @@
|
|||
\section{Rechenaufwand für Grundoperationen}
|
||||
|
||||
\begin{tabularx}{\textwidth}{p{0.17\textwidth}|p{0.16\textwidth}p{0.16\textwidth}|p{0.17\textwidth}p{0.2\textwidth}}
|
||||
& einfach verkettet & & doppelt verkettet & \\
|
||||
\begin{longtable}{p{0.17\textwidth}|p{0.16\textwidth}p{0.16\textwidth}|p{0.17\textwidth}p{0.2\textwidth}}
|
||||
\rowcolor{lightgray}& einfach verkettet & & doppelt verkettet & \\
|
||||
\hline
|
||||
Grundoperationen & linear & zyklisch & linear & zyklisch \\
|
||||
\rowcolor{lightgray}Grundoperationen & linear & zyklisch & linear & zyklisch \\
|
||||
\hline\hline
|
||||
\texttt{access\_head} & konstant & konstant & konstant & konstant \\
|
||||
\hline
|
||||
|
|
@ -28,4 +28,4 @@
|
|||
\texttt{trav\_forward} & konstant (pro Element) & konstant (pro Element) & konstant (pro Element) & konstant (pro Element) \\
|
||||
\hline
|
||||
\texttt{trav\_backward} & $\mathcal{O}(n)$ (pro Element) & $\mathcal{O}(n)$ (pro Element) & $\mathcal{O}(n)$ (pro Element) & $\mathcal{O}(n)$ (pro Element) \\
|
||||
\end{tabularx}
|
||||
\end{longtable}
|
||||
|
|
@ -216,4 +216,175 @@ Bei einer iterativen Multiplikation, so wie man sie schriftlich gelernt hat, bet
|
|||
|
||||
Falls man bis jetzt die Vermutung hatte, dass rekursive Algorithmen immer schlechter als iterative Algorithmen sind, hier ist ein Gegenbeispiel: Wenn man die Zifferngruppen rekursiv halbiert ergibt sich eine Komplexität von $T(n)=\Theta(n^{\log_2 3})=\Theta(n^{1,525})$.
|
||||
|
||||
Der \person{Schönhage-Strassen}-Algorithmus, eine diskrete Fourier-Transformation, war von 1971 bis 2007 (in der Vorlesung war es auch nicht aktueller) der schnellste Multiplikationsalgorithmus mit einer Komplexität von $T(n)=\Theta(n\cdot\log n\cdot\log\log n)$.
|
||||
Der \person{Schönhage-Strassen}-Algorithmus, eine diskrete Fourier-Transformation, war von 1971 bis 2007 (in der Vorlesung war es auch nicht aktueller) der schnellste Multiplikationsalgorithmus mit einer Komplexität von $T(n)=\Theta(n\cdot\log n\cdot\log\log n)$.
|
||||
|
||||
\subsection{Matrizenmultiplikation}
|
||||
|
||||
Die iterative Methode hat eine Komplexität von $T(n)=\Theta(n^3)$. Das ist die Methode, die auch in der Schule/im Studium gelehrt wird.
|
||||
|
||||
Auch hier ist die rekursive Variante wieder etwas schneller, \person{Strassen} fand einen Algorithmus mit einer Komplexität von $T(n)=\Theta(n^{\log_2 7})=\Theta(n^{2,8075})$.
|
||||
|
||||
Der beste bis heute bekannte Algorithmus setzt auf eine Vermischung von iterativen und rekursiven Funktionen und hat eine Komplexität von $T(n)=\mathcal{O}(n^{2,376})$.
|
||||
|
||||
\subsection{Zyklische Zahl}
|
||||
|
||||
Finde Ziffern $z_1,...,z_n$ mit:
|
||||
\begin{align}
|
||||
5\cdot[z_1z_2...z_n]_{10}=[5z_1z_2...z_n]_{10}\notag
|
||||
\end{align}
|
||||
|
||||
Ein einfaches Durchprobieren aller Zahlen bis zu einer Zahl $n$ erzeugt einen Aufwand von $T(n)=\mathcal{O}(n\log n)$. Mit systematischer Berechnung der Ziffern von hinten nach vorne beträgt der Aufwand nur noch $T(n)=\mathcal{O}(\log_2 n)$, wenn $n$ die gesuchte Zahl ist.
|
||||
|
||||
Die gesuchte Zahl ist übrigens $n=10.204.081.632.653.061.224.489.795.918.367.346.938.775$. \\
|
||||
Als Wort: "'10 Sextilliarden 204 Sextillionen 81 Quintilliarden 632 Quintillionen 653 Quadrilliarden 61 Quadrillionen 224 Trilliarden 489 Trillionen 795 Billiarden 918 Billionen 367 Milliarden 346 Millionen 938 Tausend 775"' \smiley{}.
|
||||
|
||||
\subsection{Türme von Hanoi}
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\draw[line width=1mm] (0,0) -- (3,0);
|
||||
\draw[line width=1mm] (4,0) -- (7,0);
|
||||
\draw[line width=1mm] (8,0) -- (11,0);
|
||||
|
||||
\draw (0.2,0) rectangle (2.8,1);
|
||||
\draw (0.6,1) rectangle (2.4,2);
|
||||
\draw (1.0,2) rectangle (2.0,3);
|
||||
\node at (1.5,2.5) (1) {1};
|
||||
\node at (1.5,1.5) (2) {2};
|
||||
\node at (1.5,0.5) (3) {3};
|
||||
|
||||
\draw (1.45,3) rectangle (1.55,3.5);
|
||||
\draw (5.45,0) rectangle (5.55,3.5);
|
||||
\draw (9.45,0) rectangle (9.55,3.5);
|
||||
|
||||
\node at (1.5,4) (A) {A};
|
||||
\node at (5.5,4) (B) {B};
|
||||
\node at (9.5,4) (C) {C};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
Dieses Problem lässt sich nur rekursiv rechnen. Der Aufwand dafür beträgt $T(n)=2^n-1$.
|
||||
|
||||
\begin{center}
|
||||
\begin{longtable}{p{1cm}|p{2cm}|p{2cm}|p{2cm}|p{2cm}}
|
||||
\rowcolor{lightgray}
|
||||
& \textbf{Schritt} $i$ & \textbf{Scheibe} $d$ & \textbf{Quelle} $s$ & \textbf{Ziel} $t$ \\
|
||||
\hline
|
||||
$n=1$ & 1 & 1 & A & C \\
|
||||
\hline\hline
|
||||
$n=2$ & 1 & 1 & A & B \\
|
||||
\hline
|
||||
& 2 & 2 & A & C \\
|
||||
\hline
|
||||
& 3 & 1 & B & C \\
|
||||
\hline\hline
|
||||
$n=3$ & 1 & 1 & A & C \\
|
||||
\hline
|
||||
& 2 & 2 & A & B \\
|
||||
\hline
|
||||
& 3 & 1 & C & B \\
|
||||
\hline
|
||||
& 4 & 3 & A & C \\
|
||||
\hline
|
||||
& 5 & 1 & B & A \\
|
||||
\hline
|
||||
& 6 & 2 & B & C \\
|
||||
\hline
|
||||
& 7 & 1 & A & C
|
||||
\end{longtable}
|
||||
\end{center}
|
||||
|
||||
Im $i$-ten Schritt finden dann folgende Schritt statt:
|
||||
\begin{itemize}
|
||||
\item Scheibe $k$ wird bewegt, mit \texttt{mod(i,2**(k-1))} = 0, aber \texttt{mod(i,2**k) != 0}
|
||||
\item Scheibe $k$ wird zum ersten Mal im Schritt $2^{k-1}$ und dann alle $2^k$ Schritte bewegt
|
||||
\item Die größte Scheibe $n$ wird immer genau einmal im Schritt $2^{n-1}$ von A nach C bewegt, das heißt rückwärts durch die Positionsindizes, die nächstkleinere Scheibe $n-1$ zweimal vorwärts A $\to$ B $\to$ C, die nächstkleinere $n-2$ viermal rückwärts A $\to$ C $\to$ B $\to$ A $\to$ C, ...
|
||||
\end{itemize}
|
||||
|
||||
\begin{*anmerkung}
|
||||
Der Legende nach soll die Welt zu dem Zeitpunkt untergehen, wenn dieses Problem mit $n=64$ Scheiben von einem Menschen gelöst wurde.
|
||||
|
||||
Dafür benutzt man stattdessen einen Computer und das Programm von Unicomp, Inc (\url{https://www.fortran.com/F/ex_hanoi.html}, auch in meinen Github-Repository: \url{https://github.com/henrydatei/TU_PROG/blob/master/Tuerme_von_Hanoi.f95}).
|
||||
|
||||
Dieses Programm wird bei $n=64$ einen Output von einem Zetabyte produzieren, was in etwa dem Internettraffic der Menschheit eines Jahres entspricht. Weiterhin würde mein Rechner rund 3,3 Millionen Jahre brauchen. Es dauert also noch ein bisschen bis zum Weltuntergang \smiley{}.
|
||||
\end{*anmerkung}
|
||||
|
||||
\subsection{Kochkurve}
|
||||
|
||||
\begin{center}
|
||||
\begin{tikzpicture}[decoration=Koch snowflake, scale=0.8]
|
||||
\draw decorate{(0,0) -- ++(60:3) -- ++(300:3) -- ++(180:3)};
|
||||
\draw decorate{ decorate{(4,0) -- ++(60:3) -- ++(300:3) -- ++(180:3)}};
|
||||
\draw decorate{ decorate{ decorate{(8,0) -- ++(60:3) -- ++(300:3) -- ++(180:3)}}};
|
||||
\draw decorate{ decorate{ decorate{ decorate{(12,0) -- ++(60:3) -- ++(300:3) -- ++(180:3)}}}};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
Die Komplexitäten lauten
|
||||
\begin{itemize}
|
||||
\item rekursiv: $T(n)=\mathcal{O}(4^n)$
|
||||
\item iterativ: Algorithmus ist sehr kompliziert
|
||||
\end{itemize}
|
||||
|
||||
\subsection{$n$-Damen-Problem}
|
||||
|
||||
Beim $n$-Damen-Problem geht es darum, $n$ Damen auf einen $n\times n$-Schachbrett zu verteilen, sodass keine Dame eine andere schlagen kann. Eine Dame kann alle Damen schlagen, die horizontal, vertikal oder diagonal zu ihr stehen.
|
||||
|
||||
Für $n=1$ gibt es genau 1 triviale Lösung, $n=2$ und $n=3$ haben keine Lösungen, für $n=4$ gibt es bis auf Symmetrien auch nur eine Lösung:
|
||||
\begin{center}
|
||||
\begin{tikzpicture}
|
||||
\draw[step=1] (0,0) grid (4,4);
|
||||
\node at (0.5,1.5) (a) {D};
|
||||
\node at (1.5,3.5) (b) {D};
|
||||
\node at (2.5,0.5) (c) {D};
|
||||
\node at (3.5,2.5) (d) {D};
|
||||
\end{tikzpicture}
|
||||
\end{center}
|
||||
|
||||
Will man alle Lösungen finden kann man die $n$ Damen beliebig auf die $n^2$ Felder verteilen. Dann muss man $\binom{n^2}{n}$ Möglichkeiten durchprobieren. Verteilt man nur auf jeder Spalte eine Dame, so hat man noch $n^n$ Möglichkeiten. Bei zusätzlich nur noch einer Dame pro Zeile sind es nur noch $n!$ Möglichkeiten. Wenn auch Diagonalen berücksichtigt werden sollen, gibt es viel weniger Möglichkeiten. Da eine
|
||||
systematische Planung vorausschauend alle bedrohten Felder für weitere Platzierungen kennen müsste, wird zur Lösung \begriff{Backtracking} verwendet.
|
||||
|
||||
\subsection{Legepuzzle}
|
||||
|
||||
Eine Legepuzzle ist ein zweidimensionales Puzzle mit $n$ Teilen.
|
||||
|
||||
Löst man dieses Puzzle rekursiv naiv, also vergleicht eine Seite eines Teils mit jeweils allen offenen Stellen, so hat man $T(n)=\mathcal{O}(n^2)$. Löst man dies iterativ mit $k$ Teilengen, zum Beispiel Farbgruppen mit $\approx\frac{n}{k}$ Teilen, wobei $k\le\frac{n}{k}$, also zum Beispiel $k=\sqrt{n}=\frac{n}{k}$: $T_k(n)=\mathcal{O}(n+\frac{n^2}{k}+k^2)=\mathcal{O}(n^{1,5})$.
|
||||
|
||||
\subsection{\person{Ackermann}-Funktion}
|
||||
|
||||
Die \person{Ackermann}-Funktion hat folgende Bildungsvorschrift:
|
||||
\begin{align}
|
||||
A(i,j)=\begin{cases}
|
||||
2^j & i=1 \\
|
||||
A(i-1,2) & j=1 \\
|
||||
A(i-1,A(i,j-1)) & i\ge 2, j\ge 2
|
||||
\end{cases}\notag
|
||||
\end{align}
|
||||
|
||||
\begin{center}
|
||||
\begin{tabular}{p{1cm}|p{2cm}p{2cm}p{2cm}p{2cm}p{2cm}}
|
||||
\rowcolor{lightgray} $i\setminus j$ & 1 & 2 & 3 & 4 & 5 \\
|
||||
\hline
|
||||
\cellcolor{lightgray} 1 & 2 & 4 & 8 & 16 & 32 \\
|
||||
\cellcolor{lightgray} 2 & 4 & $2^{2^2}=16$ & $2^{2^{2^2}}=65536$ & $2^{65536}$ & \\
|
||||
\cellcolor{lightgray} 3 & $2^{2^2}=16$ & $A(2,16)$ & & & \\
|
||||
\cellcolor{lightgray} 4 & $A(2,16)$ & $A(3,A(4,1))$ & & &
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
|
||||
Die \person{Ackermann}-Funktion ist nicht primitiv rekursiv!
|
||||
|
||||
Besonders bei $A(2,3)$ tauchen unschön zu schreibende "'Potenztürme"' auf. Um diese zu vermeiden, führen wir die \begriff{Knuth-Up-Arrow}-Notation ein. Dabei gilt:
|
||||
\begin{align}
|
||||
a\uparrow b &:= a^b \notag \\
|
||||
a\uparrow\uparrow b = a\uparrow^2 b &:= \underbrace{a\uparrow\dots\uparrow a}_b \notag \\
|
||||
a\uparrow\uparrow\uparrow b = a\uparrow^3 b &:= \underbrace{a\uparrow^2 a\uparrow^2\dots\uparrow^2 a}_b \notag \\
|
||||
a\underbrace{\uparrow\dots\uparrow}_n b = a\uparrow^n b &:= \underbrace{a\underbrace{\uparrow\dots\uparrow}_{n-1} a\underbrace{\uparrow\dots\uparrow}_{n-1}\dots\underbrace{\uparrow\dots\uparrow}a}_b\notag
|
||||
\end{align}
|
||||
|
||||
So gilt also:
|
||||
\begin{itemize}
|
||||
\item $3\uparrow 2=3^2=9$
|
||||
\item $3\uparrow\uparrow 2 = 3^3 = 27$
|
||||
\item $3\uparrow\uparrow 3 = 3^{3^3} > 7\cdot 10^{12}$
|
||||
\end{itemize}
|
||||
Binary file not shown.
BIN
2. Semester/PROG/images/Carry-Ripple-Adder.png
Normal file
BIN
2. Semester/PROG/images/Carry-Ripple-Adder.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 22 KiB |
520
2. Semester/PROG/images/Carry-Ripple-Adder.svg
Normal file
520
2. Semester/PROG/images/Carry-Ripple-Adder.svg
Normal file
|
|
@ -0,0 +1,520 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
<svg
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
||||
xmlns:cc="http://creativecommons.org/ns#"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:svg="http://www.w3.org/2000/svg"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
width="425"
|
||||
height="175"
|
||||
id="svg2"
|
||||
sodipodi:version="0.32"
|
||||
inkscape:version="0.46"
|
||||
version="1.0"
|
||||
sodipodi:docbase="/home/mik/Documents/wikipedia/Addierwerk"
|
||||
sodipodi:docname="Ripple-carry-adder.svg"
|
||||
inkscape:output_extension="org.inkscape.output.svg.inkscape">
|
||||
<defs
|
||||
id="defs4">
|
||||
<inkscape:perspective
|
||||
sodipodi:type="inkscape:persp3d"
|
||||
inkscape:vp_x="0 : 87.5 : 1"
|
||||
inkscape:vp_y="0 : 1000 : 0"
|
||||
inkscape:vp_z="425 : 87.5 : 1"
|
||||
inkscape:persp3d-origin="212.5 : 58.333333 : 1"
|
||||
id="perspective92" />
|
||||
</defs>
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="white"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="1"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="2"
|
||||
inkscape:cx="262.89812"
|
||||
inkscape:cy="107.80633"
|
||||
inkscape:document-units="px"
|
||||
inkscape:current-layer="layer1"
|
||||
width="425px"
|
||||
height="175px"
|
||||
showgrid="true"
|
||||
gridtolerance="10000"
|
||||
inkscape:grid-points="true"
|
||||
inkscape:window-width="1280"
|
||||
inkscape:window-height="958"
|
||||
inkscape:window-x="-4"
|
||||
inkscape:window-y="-3">
|
||||
<inkscape:grid
|
||||
id="GridFromPre046Settings"
|
||||
type="xygrid"
|
||||
originx="0px"
|
||||
originy="0px"
|
||||
spacingx="5px"
|
||||
spacingy="5px"
|
||||
color="#3f3fff"
|
||||
empcolor="#3f3fff"
|
||||
opacity="0.21568627"
|
||||
empopacity="0.48627451"
|
||||
empspacing="5" />
|
||||
</sodipodi:namedview>
|
||||
<metadata
|
||||
id="metadata7">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Ebene 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1">
|
||||
<rect
|
||||
style="fill:#ffffff;fill-opacity:1;stroke:none;stroke-width:1.77165353;stroke-miterlimit:4;stroke-dasharray:none"
|
||||
id="rect2465"
|
||||
width="425"
|
||||
height="175"
|
||||
x="0"
|
||||
y="0" />
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.5;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2794"
|
||||
width="60"
|
||||
height="40"
|
||||
x="297.43121"
|
||||
y="64.566017"
|
||||
rx="3"
|
||||
ry="3" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="328.54608"
|
||||
y="80.105011"
|
||||
id="text2796"><tspan
|
||||
sodipodi:role="line"
|
||||
x="328.54608"
|
||||
y="80.105011"
|
||||
id="tspan2798">Voll-</tspan><tspan
|
||||
sodipodi:role="line"
|
||||
x="328.54608"
|
||||
y="96.105011"
|
||||
id="tspan2800">addierer</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.5;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2802"
|
||||
width="60"
|
||||
height="40"
|
||||
x="209.43121"
|
||||
y="64.566017"
|
||||
rx="3"
|
||||
ry="3" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="240.54608"
|
||||
y="80.105011"
|
||||
id="text2804"><tspan
|
||||
sodipodi:role="line"
|
||||
x="240.54608"
|
||||
y="80.105011"
|
||||
id="tspan2806">Voll-</tspan><tspan
|
||||
sodipodi:role="line"
|
||||
x="240.54608"
|
||||
y="96.105011"
|
||||
id="tspan2808">addierer</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.5;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2810"
|
||||
width="60"
|
||||
height="40"
|
||||
x="121.4312"
|
||||
y="64.566017"
|
||||
rx="3"
|
||||
ry="3" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="152.54608"
|
||||
y="80.105026"
|
||||
id="text2812"><tspan
|
||||
sodipodi:role="line"
|
||||
x="152.54608"
|
||||
y="80.105026"
|
||||
id="tspan2814">Voll-</tspan><tspan
|
||||
sodipodi:role="line"
|
||||
x="152.54608"
|
||||
y="96.105026"
|
||||
id="tspan2816">addierer</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.5;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2818"
|
||||
width="60"
|
||||
height="40"
|
||||
x="33.431198"
|
||||
y="64.566017"
|
||||
rx="3"
|
||||
ry="3" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="64.546082"
|
||||
y="80.105011"
|
||||
id="text2820"><tspan
|
||||
sodipodi:role="line"
|
||||
x="64.546081"
|
||||
y="80.105011"
|
||||
id="tspan2822">Voll-</tspan><tspan
|
||||
sodipodi:role="line"
|
||||
x="64.546081"
|
||||
y="96.105011"
|
||||
id="tspan2824">addierer</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 345.431,64.566 L 345.431,29.566 L 400.431,29.566"
|
||||
id="path3847"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 309.4312,64.56602 L 309.4312,22.06602"
|
||||
id="path3849"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 327.4312,22.06602 L 327.4312,64.56602"
|
||||
id="path3851"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 221.4312,64.56602 L 221.4312,22.06602"
|
||||
id="path3853"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 237.4312,64.56602 L 237.4312,22.06602"
|
||||
id="path3855"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 257.4312,64.56602 L 257.4312,52.56602 L 283.4312,52.56602 L 283.4312,116.56602 L 313.4312,116.56602 L 313.4312,104.56602"
|
||||
id="path3857"
|
||||
sodipodi:nodetypes="cccccc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 133.4312,64.56602 L 133.4312,22.06602"
|
||||
id="path3859"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 149.4312,64.56602 L 149.4312,22.06602"
|
||||
id="path3861"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 169.4312,64.56602 L 169.4312,52.56602 L 195.4312,52.56602 L 195.4312,116.56602 L 225.4312,116.56602 L 225.4312,104.56602"
|
||||
id="path3863"
|
||||
sodipodi:nodetypes="cccccc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 45.4312,64.56602 L 45.4312,22.06602"
|
||||
id="path3865"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 61.4312,64.56602 L 61.4312,22.06602"
|
||||
id="path3867"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 81.4312,64.56602 L 81.4312,52.56602 L 107.4312,52.56602 L 107.4312,116.56602 L 137.4312,116.56602 L 137.4312,104.56602"
|
||||
id="path3869"
|
||||
sodipodi:nodetypes="cccccc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 341.4312,104.56602 L 341.4312,144.56602"
|
||||
id="path3887" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 253.4312,104.56602 L 253.4312,144.56602"
|
||||
id="path3889" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 165.4312,104.56602 L 165.4312,144.56602"
|
||||
id="path3891" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 77.4312,104.56602 L 77.4312,144.56602"
|
||||
id="path3893" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="334.03113"
|
||||
y="23.566017"
|
||||
id="text3901"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3903"
|
||||
x="334.03113"
|
||||
y="23.566017">a</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="311.63116"
|
||||
y="23.166016"
|
||||
id="text3905"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3907"
|
||||
x="311.63116"
|
||||
y="23.166016">b</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="322.17804"
|
||||
y="25.566017"
|
||||
id="text3909"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3911"
|
||||
x="322.17804"
|
||||
y="25.566017">0</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="340.45068"
|
||||
y="25.566017"
|
||||
id="text3913"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3915"
|
||||
x="340.45068"
|
||||
y="25.566017">0</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="246.03113"
|
||||
y="23.566017"
|
||||
id="text3917"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3919"
|
||||
x="246.03113"
|
||||
y="23.566017">a</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="223.63116"
|
||||
y="23.166016"
|
||||
id="text3921"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3923"
|
||||
x="223.63116"
|
||||
y="23.166016">b</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="234.17804"
|
||||
y="25.566017"
|
||||
id="text3925"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3927"
|
||||
x="234.17804"
|
||||
y="25.566017">1</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="252.45068"
|
||||
y="25.566017"
|
||||
id="text3929"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3931"
|
||||
x="252.45068"
|
||||
y="25.566017">1</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="158.03113"
|
||||
y="23.566017"
|
||||
id="text3949"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3951"
|
||||
x="158.03113"
|
||||
y="23.566017">a</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="135.63116"
|
||||
y="23.166016"
|
||||
id="text3953"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3955"
|
||||
x="135.63116"
|
||||
y="23.166016">b</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="146.17804"
|
||||
y="25.566017"
|
||||
id="text3957"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3959"
|
||||
x="146.17804"
|
||||
y="25.566017">2</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="164.45068"
|
||||
y="25.566017"
|
||||
id="text3961"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3963"
|
||||
x="164.45068"
|
||||
y="25.566017">2</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="70.031128"
|
||||
y="23.566017"
|
||||
id="text3965"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3967"
|
||||
x="70.031128"
|
||||
y="23.566017">a</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="47.631157"
|
||||
y="23.166016"
|
||||
id="text3969"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3971"
|
||||
x="47.631157"
|
||||
y="23.166016">b</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="58.17804"
|
||||
y="25.566017"
|
||||
id="text3973"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3975"
|
||||
x="58.17804"
|
||||
y="25.566017">3</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="76.450684"
|
||||
y="25.566017"
|
||||
id="text3977"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3979"
|
||||
x="76.450684"
|
||||
y="25.566017">3</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="342.63116"
|
||||
y="140.16602"
|
||||
id="text5883"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5885"
|
||||
x="342.63116"
|
||||
y="140.16602">s</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="353.17804"
|
||||
y="142.56601"
|
||||
id="text5887"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5889"
|
||||
x="353.17804"
|
||||
y="142.56601">0</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="254.63116"
|
||||
y="140.16602"
|
||||
id="text5891"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5893"
|
||||
x="254.63116"
|
||||
y="140.16602">s</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="265.17804"
|
||||
y="142.56601"
|
||||
id="text5895"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5897"
|
||||
x="265.17804"
|
||||
y="142.56601">1</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="166.63116"
|
||||
y="140.16602"
|
||||
id="text5899"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5901"
|
||||
x="166.63116"
|
||||
y="140.16602">s</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="177.17804"
|
||||
y="142.56601"
|
||||
id="text5903"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5905"
|
||||
x="177.17804"
|
||||
y="142.56601">2</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:start;text-anchor:start;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="78.631149"
|
||||
y="140.16602"
|
||||
id="text5907"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5909"
|
||||
x="78.631149"
|
||||
y="140.16602">s</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:#000000;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="89.178017"
|
||||
y="142.56601"
|
||||
id="text5911"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5913"
|
||||
x="89.178017"
|
||||
y="142.56601">3</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 49.4312,104.56602 L 49.4312,144.56602"
|
||||
id="path5915" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="-142.30038"
|
||||
y="60.790619"
|
||||
id="text5917"
|
||||
transform="matrix(0,-1,1,0,0,0)"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan5919"
|
||||
x="-142.30038"
|
||||
y="60.790619">carry out</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12.80000019px;font-style:normal;font-weight:normal;text-align:center;text-anchor:middle;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:DejaVu Sans"
|
||||
x="377.43124"
|
||||
y="25.266006"
|
||||
id="text6825"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan6827"
|
||||
x="377.43124"
|
||||
y="25.266006">carry in</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 22 KiB |
BIN
2. Semester/PROG/images/Halbaddierer.png
Normal file
BIN
2. Semester/PROG/images/Halbaddierer.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 9.5 KiB |
239
2. Semester/PROG/images/Halbaddierer.svg
Normal file
239
2. Semester/PROG/images/Halbaddierer.svg
Normal file
|
|
@ -0,0 +1,239 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
<svg
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
||||
xmlns:cc="http://web.resource.org/cc/"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:svg="http://www.w3.org/2000/svg"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
width="155.9055"
|
||||
height="109.84251"
|
||||
id="svg2"
|
||||
sodipodi:version="0.32"
|
||||
inkscape:version="0.44.1"
|
||||
version="1.0"
|
||||
sodipodi:docbase="C:\Dokumente und Einstellungen\q904710\Desktop"
|
||||
sodipodi:docname="Halbaddierer_Aufbau_XOR.svg">
|
||||
<defs
|
||||
id="defs4" />
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="3.959798"
|
||||
inkscape:cx="82.55921"
|
||||
inkscape:cy="53.858242"
|
||||
inkscape:document-units="mm"
|
||||
inkscape:current-layer="layer1"
|
||||
width="44mm"
|
||||
height="31mm"
|
||||
units="mm"
|
||||
showgrid="true"
|
||||
gridspacingx="1mm"
|
||||
gridspacingy="1mm"
|
||||
grid_units="mm"
|
||||
inkscape:grid-points="true"
|
||||
gridtolerance="0.4"
|
||||
inkscape:window-width="1024"
|
||||
inkscape:window-height="748"
|
||||
inkscape:window-x="203"
|
||||
inkscape:window-y="109"
|
||||
inkscape:object-bbox="true"
|
||||
inkscape:object-points="true"
|
||||
inkscape:object-nodes="true" />
|
||||
<metadata
|
||||
id="metadata7">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Ebene 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1">
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.47755909;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3698"
|
||||
sodipodi:cx="39.375568"
|
||||
sodipodi:cy="183.10983"
|
||||
sodipodi:rx="0.39918929"
|
||||
sodipodi:ry="0"
|
||||
d="M 39.774758 183.10983 A 0.39918929 0 0 1 1 38.976379,183.10983 A 0.39918929 0 0 1 1 39.774758 183.10983 z" />
|
||||
<path
|
||||
style="fill:black;fill-opacity:1;fill-rule:evenodd;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 159.44882,230.31496 L 17.716535,230.31496"
|
||||
id="path4820" />
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect2248"
|
||||
width="24.80315"
|
||||
height="35.433071"
|
||||
x="71.08268"
|
||||
y="14.173231" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="78.169289"
|
||||
y="35.852661"
|
||||
id="text3136"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3138"
|
||||
x="78.169289"
|
||||
y="35.852661">=1</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect3140"
|
||||
width="24.80315"
|
||||
height="35.433071"
|
||||
x="71.08268"
|
||||
y="56.692902" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="79.979713"
|
||||
y="78.372314"
|
||||
id="text3142"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3144"
|
||||
x="79.979713"
|
||||
y="78.372314">&</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 71.08268,21.099557 L 35.649606,21.259847"
|
||||
id="path3146" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 71.08268,42.706697 L 35.649606,42.519687"
|
||||
id="path3148" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 71.080428,63.779508 L 60.236056,63.749672 L 60.236221,21.275413"
|
||||
id="path3150"
|
||||
sodipodi:nodetypes="ccc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 71.08268,85.028117 L 49.822835,85.039377 L 49.822835,42.519687"
|
||||
id="path3152"
|
||||
sodipodi:nodetypes="ccc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3154"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-31.66104,-28.33583)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="15.200516"
|
||||
y="24.803129"
|
||||
id="text3156"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3158"
|
||||
x="15.200516"
|
||||
y="24.803129">x</tspan></text>
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3164"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-31.43466,-6.846733)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="15.426888"
|
||||
y="46.292267"
|
||||
id="text3166"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3168"
|
||||
x="15.426888"
|
||||
y="46.292267">y</tspan></text>
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3174"
|
||||
sodipodi:cx="67.276787"
|
||||
sodipodi:cy="266.06897"
|
||||
sodipodi:rx="2.2767856"
|
||||
sodipodi:ry="2.2767856"
|
||||
d="M 69.553572 266.06897 A 2.2767856 2.2767856 0 1 1 65.000001,266.06897 A 2.2767856 2.2767856 0 1 1 69.553572 266.06897 z"
|
||||
transform="translate(-17.5,-223.2283)" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 95.88583,31.813837 L 124.23228,31.889767"
|
||||
id="path3176" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 95.88583,74.492407 L 124.23228,74.409447"
|
||||
id="path3178"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3180"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(63.99606,-17.70593)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="134.8622"
|
||||
y="34.93573"
|
||||
id="text3182"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3184"
|
||||
x="134.8622"
|
||||
y="34.93573">s</tspan></text>
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3186"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(63.99606,24.81377)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="135.14949"
|
||||
y="77.229431"
|
||||
id="text3188"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3190"
|
||||
x="135.14949"
|
||||
y="77.229431">c</tspan></text>
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path1972"
|
||||
sodipodi:cx="67.276787"
|
||||
sodipodi:cy="266.06897"
|
||||
sodipodi:rx="2.2767856"
|
||||
sodipodi:ry="2.2767856"
|
||||
d="M 69.553572 266.06897 A 2.2767856 2.2767856 0 1 1 65.000001,266.06897 A 2.2767856 2.2767856 0 1 1 69.553572 266.06897 z"
|
||||
transform="translate(-7.040566,-244.8091)" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 10 KiB |
BIN
2. Semester/PROG/images/Volladdierer.png
Normal file
BIN
2. Semester/PROG/images/Volladdierer.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 15 KiB |
415
2. Semester/PROG/images/Volladdierer.svg
Normal file
415
2. Semester/PROG/images/Volladdierer.svg
Normal file
|
|
@ -0,0 +1,415 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
<svg
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/"
|
||||
xmlns:cc="http://web.resource.org/cc/"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:svg="http://www.w3.org/2000/svg"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
width="294.09448"
|
||||
height="166.53543"
|
||||
id="svg2"
|
||||
sodipodi:version="0.32"
|
||||
inkscape:version="0.44.1"
|
||||
version="1.0"
|
||||
sodipodi:docbase="C:\Dokumente und Einstellungen\q904710\Desktop"
|
||||
sodipodi:docname="Halbaddierer_Aufbau_XOR.svg">
|
||||
<defs
|
||||
id="defs4" />
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="2.8"
|
||||
inkscape:cx="186.74246"
|
||||
inkscape:cy="75.589511"
|
||||
inkscape:document-units="mm"
|
||||
inkscape:current-layer="layer1"
|
||||
width="83mm"
|
||||
height="47mm"
|
||||
units="mm"
|
||||
showgrid="true"
|
||||
gridspacingx="1mm"
|
||||
gridspacingy="1mm"
|
||||
grid_units="mm"
|
||||
inkscape:grid-points="true"
|
||||
gridtolerance="0.4"
|
||||
inkscape:window-width="1280"
|
||||
inkscape:window-height="968"
|
||||
inkscape:window-x="-4"
|
||||
inkscape:window-y="-4"
|
||||
inkscape:object-bbox="true"
|
||||
inkscape:object-points="true"
|
||||
inkscape:object-nodes="true" />
|
||||
<metadata
|
||||
id="metadata7">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Ebene 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1">
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.47755909;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3698"
|
||||
sodipodi:cx="39.375568"
|
||||
sodipodi:cy="183.10983"
|
||||
sodipodi:rx="0.39918929"
|
||||
sodipodi:ry="0"
|
||||
d="M 39.774758 183.10983 A 0.39918929 0 0 1 1 38.976379,183.10983 A 0.39918929 0 0 1 1 39.774758 183.10983 z" />
|
||||
<path
|
||||
style="fill:black;fill-opacity:1;fill-rule:evenodd;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 159.44882,230.31496 L 17.716535,230.31496"
|
||||
id="path4820" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 81.181376,39.034569 L 42.242964,39.016293"
|
||||
id="path2000"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 81.181376,60.195277 L 42.242964,60.276123"
|
||||
id="path2002"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2004"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-25.06768,-10.57939)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="21.793871"
|
||||
y="42.559578"
|
||||
id="text2006"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2008"
|
||||
x="21.793871"
|
||||
y="42.559578">x</tspan></text>
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2010"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-24.8413,10.9097)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="22.020247"
|
||||
y="64.048714"
|
||||
id="text2012"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2014"
|
||||
x="22.020247"
|
||||
y="64.048714">y</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 230.41814,49.509757 L 248.03146,49.556937"
|
||||
id="path2016"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2018"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(187.7953,-0.114674)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="258.66141"
|
||||
y="121.15503"
|
||||
id="text2020"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2022"
|
||||
x="258.66141"
|
||||
y="121.15503">s</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 180.86306,118.34552 L 248.17911,118.33244"
|
||||
id="path2024"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2026"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(187.9429,68.66082)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="258.80902"
|
||||
y="52.660065"
|
||||
id="text2028"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2030"
|
||||
x="258.80902"
|
||||
y="52.660065">c</tspan></text>
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 151.97996,131.07128 L 42.56284,131.07129"
|
||||
id="path2048"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2050"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-24.80314,81.70486)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="20.336016"
|
||||
y="134.97011"
|
||||
id="text2052"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2054"
|
||||
x="20.336016"
|
||||
y="134.97011">c</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:6.51179123px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="27.284081"
|
||||
y="137.22588"
|
||||
id="text2072"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2074"
|
||||
x="27.284081"
|
||||
y="137.22588">IN</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:6.51179123px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="266.30627"
|
||||
y="56.661819"
|
||||
id="text2098"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2100"
|
||||
x="266.30627"
|
||||
y="56.661819">OUT</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="210.13049"
|
||||
y="53.118511"
|
||||
id="text2176"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2178"
|
||||
x="210.13049"
|
||||
y="53.118511">≥1</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
id="rect2192"
|
||||
width="28.661144"
|
||||
height="42.519688"
|
||||
x="201.96851"
|
||||
y="28.315361" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 109.84251,38.981207 L 201.96851,39.012774"
|
||||
id="path2194"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 180.70866,70.811727 L 191.33858,70.813195 L 191.33859,60.208063 L 201.96851,60.211"
|
||||
id="path2196"
|
||||
sodipodi:nodetypes="cccc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="160.9594"
|
||||
y="125.37282"
|
||||
id="text2202"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2204"
|
||||
x="160.9594"
|
||||
y="125.37282">=1</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
id="rect2206"
|
||||
width="28.661144"
|
||||
height="42.519688"
|
||||
x="152.04752"
|
||||
y="49.575203" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="91.811295"
|
||||
y="53.118515"
|
||||
id="text2208"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2210"
|
||||
x="91.811295"
|
||||
y="53.118515">&</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
id="rect2212"
|
||||
width="28.661144"
|
||||
height="42.519688"
|
||||
x="81.181374"
|
||||
y="28.315363" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 67.268461,38.945286 L 67.268461,88.551585 L 81.181376,88.589549"
|
||||
id="path2214" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 53.036538,60.253714 L 53.149606,109.81143 L 81.181376,109.75026"
|
||||
id="path2216"
|
||||
sodipodi:nodetypes="ccc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="89.343361"
|
||||
y="102.72482"
|
||||
id="text2218"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2220"
|
||||
x="89.343361"
|
||||
y="102.72482">=1</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
id="rect2222"
|
||||
width="28.661144"
|
||||
height="42.519688"
|
||||
x="81.181374"
|
||||
y="77.921661" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:none;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2224"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(3.355178,-10.5677)" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:none;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path2226"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(-10.84117,10.65824)" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="163.44278"
|
||||
y="76.020638"
|
||||
id="text3115"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3117"
|
||||
x="163.44278"
|
||||
y="76.020638">&</tspan></text>
|
||||
<rect
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
id="rect3119"
|
||||
width="28.661144"
|
||||
height="42.519688"
|
||||
x="152.04753"
|
||||
y="99.181503" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 138.41906,131.07127 L 138.34919,81.733835 L 152.04752,81.700016"
|
||||
id="path3121"
|
||||
sodipodi:nodetypes="ccc" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 152.04752,60.01812 L 124.01575,60.205128 L 124.01575,99.181506 L 109.84252,99.181506"
|
||||
id="path3123" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:none;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3125"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(74.40946,81.46498)" />
|
||||
<path
|
||||
style="fill:none;fill-rule:evenodd;stroke:black;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||
d="M 152.04753,109.98156 L 124.01575,109.81143 L 124.01575,99.092218"
|
||||
id="path3127"
|
||||
sodipodi:nodetypes="ccc" />
|
||||
<path
|
||||
sodipodi:type="arc"
|
||||
style="fill:black;fill-opacity:1;stroke:none;stroke-width:1.0629921;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="path3129"
|
||||
sodipodi:cx="63.77953"
|
||||
sodipodi:cy="49.595676"
|
||||
sodipodi:rx="3.5433066"
|
||||
sodipodi:ry="3.5539272"
|
||||
d="M 67.322836 49.595676 A 3.5433066 3.5539272 0 1 1 60.236223,49.595676 A 3.5433066 3.5539272 0 1 1 67.322836 49.595676 z"
|
||||
transform="translate(60.23622,49.57521)" />
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:1.9984252, 1.9984252;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect3131"
|
||||
width="67.958145"
|
||||
height="104.55079"
|
||||
x="46.467014"
|
||||
y="21.77667" />
|
||||
<rect
|
||||
style="fill:none;fill-opacity:1;stroke:black;stroke-width:0.99921262;stroke-miterlimit:4;stroke-dasharray:1.9984252, 1.9984252;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect4018"
|
||||
width="69.192902"
|
||||
height="103.94111"
|
||||
x="118.60236"
|
||||
y="44.35717" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="69.44799"
|
||||
y="16.725906"
|
||||
id="text4020"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4022"
|
||||
x="69.44799"
|
||||
y="16.725906">HA</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:12px;font-style:normal;font-weight:normal;fill:black;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;font-family:Bitstream Vera Sans"
|
||||
x="148.81889"
|
||||
y="160.16757"
|
||||
id="text4024"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4026"
|
||||
x="148.81889"
|
||||
y="160.16757">HA</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 18 KiB |
|
|
@ -98,7 +98,7 @@
|
|||
\usepgfplotslibrary{fillbetween}
|
||||
\RequirePackage{pgf}
|
||||
\RequirePackage{tikz}
|
||||
\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing,backgrounds, positioning,fit,petri}
|
||||
\usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing,backgrounds, positioning,fit,petri,decorations.fractals}
|
||||
\usetikzlibrary{matrix}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue