51 lines
No EOL
2.2 KiB
TeX
51 lines
No EOL
2.2 KiB
TeX
\begin{center}
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\begin{minipage}{0.4\linewidth}
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\begin{figure}
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\centering
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\begin{minipage}{0.5\linewidth}
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\begin{tikzpicture}[domain=-0.5:2]
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\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
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\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
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\draw[->] (0,-0.7) -- (0,2.2) node[above] {$V(x,\omega)$};
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\draw (0,0) -- (1,0) plot coordinates {(0,0) (1,0)}[color=red];
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\draw (1,1) -- (2,1) plot coordinates {(1,1) (2,1)}[color=red];
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\draw (0,0) node[left] {$0$};
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\draw (0,1) node[left] {$1$};
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\draw (1,-0.7) node[below] {$\omega_0$};
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\end{tikzpicture}
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\end{minipage}
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\hspace{3mm}
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\begin{minipage}{0.4\linewidth}
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\caption{Visibility of a point $x$ with respect to $\omega$. Observe the discontinuity at $\omega_0$.}
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\label{fig:visibility}
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\end{minipage}
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\end{figure}
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\end{minipage}
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% second diagram
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\begin{minipage}{0.5\linewidth}
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\begin{figure}
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\centering
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\begin{minipage}{0.5\linewidth}
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\begin{tikzpicture}[domain=-0.5:2]
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\draw[very thin,color=gray] (-0.1,-0.6) grid (2.1,2.1);
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\draw[->] (-0.2,-0.5) -- (2.2,-0.5) node[right] {$\omega$};
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\draw[->] (0,-0.7) -- (0,2.2) node[above] {$\frac{\partial}{\partial\omega}V(x,\omega)$};
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\draw (0,0) -- (2,0) plot coordinates {(0,0) (2,0)}[color=red];
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\draw (0,0) node[left] {$0$};
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\draw (0,1) node[left] {$1$};
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\draw (0,2) node[left] {$\infty$};
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\draw (1,2) node[color=red] {$\bullet$};
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\draw (1,-0.7) node[below] {$\omega_0$};
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\end{tikzpicture}
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\end{minipage}
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\begin{minipage}{0.4\linewidth}
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\caption{Differentiation of the left graph with respect to $\omega$. Observe the discontinuity at $\omega_0$ in the left graph leading to a dirac delta spike at $\omega_0$ in the differentiation.}
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\label{fig:dirac-delta-spike}
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\end{minipage}
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\end{figure}
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\end{minipage}
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\end{center} |