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Remove trailing spaces
The commands find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ and find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+ were used to do so.
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@ -1,9 +1,9 @@
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\chapter{Constant functions}
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\section{Defined on $\mdr$}
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\begin{lemma}
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Let $f:\mdr \rightarrow \mdr$, $f(x) := c$ with $c \in \mdr$ be a constant function.
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Let $f:\mdr \rightarrow \mdr$, $f(x) := c$ with $c \in \mdr$ be a constant function.
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Then $(x_P, f(x_P))$ is the only point on the graph of $f$ with
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Then $(x_P, f(x_P))$ is the only point on the graph of $f$ with
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minimal distance to $P$.
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\end{lemma}
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@ -42,7 +42,7 @@ The situation can be seen in Figure~\ref{fig:constant-min-distance}.
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\addlegendentry{$f(x)=1$}
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\addlegendentry{$g(x)=2$}
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\addlegendentry{$h(x)=3$}
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\caption{Three constant functions and their points with minimal distance}
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\label{fig:constant-min-distance}
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@ -69,8 +69,8 @@ This result means:
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\section{Defined on a closed interval $[a,b] \subseteq \mdr$}
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\begin{theorem}[Solution formula for constant functions]
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Let $f:[a,b] \rightarrow \mdr$, $f(x) := c$ with $a,b,c \in \mdr$ and
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$a \leq b$ be a constant function.
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Let $f:[a,b] \rightarrow \mdr$, $f(x) := c$ with $a,b,c \in \mdr$ and
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$a \leq b$ be a constant function.
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Then the point $(x, f(x))$ of $f$ with minimal distance to $P$ is
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given by:
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@ -119,7 +119,7 @@ given by:
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\addlegendentry{$f(x)=1, D = [-5,-2]$}
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\addlegendentry{$g(x)=1.5, D = [-1,3]$}
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\addlegendentry{$h(x)=3, D = [3,5]$}
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\caption{Three constant functions and their points with minimal distance}
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\label{fig:constant-min-distance-closed-intervall}
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