text/appendixes/comparing_defs.tex
changeset 960 bc4086c639b6
parent 958 fea0cfe78103
child 963 d875a8378d83
equal deleted inserted replaced
959:461ee3f224b6 960:bc4086c639b6
   286 \node[left=18] at (c) {$f$};
   286 \node[left=18] at (c) {$f$};
   287 \clip (0,0) circle (0.5cm);
   287 \clip (0,0) circle (0.5cm);
   288 \foreach \y in {1,0.86,...,-1} {
   288 \foreach \y in {1,0.86,...,-1} {
   289 	\draw[green!50!brown] (-1,\y)--(1,\y);
   289 	\draw[green!50!brown] (-1,\y)--(1,\y);
   290 }
   290 }
   291 \end{tikzpicture} 
   291 \end{tikzpicture} \\
       
   292 \begin{tikzpicture}[baseline]
       
   293 \begin{scope}
       
   294 \clip (-1.3,-2) rectangle (0,2);
       
   295 \node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {};
       
   296 \end{scope}
       
   297 \begin{scope}
       
   298 \clip (1,-2) rectangle (0,2);
       
   299 \node[draw] (d) at (0,-0.4) [ellipse, minimum height=1.2cm, minimum width=1.5cm] {};
       
   300 \end{scope}
       
   301 \draw (c.north) -- (d.north);
       
   302 \draw[dashed] (d.north) -- (d.south);
       
   303 \node[right=8,below=4] at (c) {$g$};
       
   304 \node[left=10] at (c) {$f$};
       
   305 \end{tikzpicture} & =
       
   306 \begin{tikzpicture}[baseline]
       
   307 \begin{scope}
       
   308 	\clip (-1.3,-2) rectangle (0,2);
       
   309 	\node[draw] (c) at (0,0) [ellipse, minimum height=2cm,minimum width=2.5cm] {};
       
   310 \end{scope}
       
   311 \draw[dashed] (c.north) to[out=-120,in=120] (c.south);
       
   312 \draw[dashed] (c.south) to[out=60,in=-90] (0.35,0) node (m) {};
       
   313 \draw (m.center) to[out=90,in=-60] (c.north);
       
   314 \begin{scope}
       
   315 	\clip (c.north) to[out=-120,in=120] (c.south) to[out=60,in=-90] (m) to[out=90,in=-60] (c.north);
       
   316 	\foreach \y in {1,0.86,...,-1} {
       
   317 		\draw[green!50!brown] (-1,\y)--(1,\y);
       
   318 	}
       
   319 \end{scope}
       
   320 \draw (m.center) .. controls +(1,0) and +(1,0) .. (c.south);
       
   321 \node[right=15,below=8] at (c) {$g$};
       
   322 \node[left=12] at (c) {$f$};
       
   323 \end{tikzpicture}
   292 \end{align*}
   324 \end{align*}
   293 \todo{fourth case}
       
   294 \caption{Examples of inserting or deleting product regions.}
   325 \caption{Examples of inserting or deleting product regions.}
   295 \label{fig:product-regions}
   326 \label{fig:product-regions}
   296 \end{figure}
   327 \end{figure}
   297 
   328 
   298 
   329