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next (failed?) try to calculate the quadratic

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Martin Thoma 2013-12-20 12:36:06 +01:00
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documents/math-minimal-distance-to-cubic-function/constant-functions.tex
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@ -43,6 +43,7 @@ The situation can be seen in Figure~\ref{fig:constant-min-distance}.
\label{fig:constant-min-distance}
\end{figure}
The point $(x, f(x))$ with minimal distance can be calculated directly:
\begin{align}
d_{P,f}(x) &= \sqrt{(x_P - x)^2 + (y_P - f(x))^2}\\
&= \sqrt{(x_P^2 - 2x_P x + x^2) + (y_P^2 - 2 y_P c + c^2)} \\