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Article View: fj.sci.math
Article #14273

2 curves between 2 point

#14273
From: Hiroshi Murata
Date: Fri, 26 Mar 1993 03:26
51 lines
2510 bytes
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--- $@$3$3$+$i(J ------------
\begin{document}
$@<+A3?t(J $N$ $@$H(J$@!$(J2$@<!85%f!<%/%j%C%I6u4V(J $X = E^2$ $@$NFs$D$NE@(J
$p_1 = (0,1),p_2 = (0,-1)$$@$,M?$($i$l$F$$$^$9!%(J
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\begin{eqnarray*}
	S_0 = \{p_1\} \\
	S_{N+1} = \{p_2\}
\end{eqnarray*}
$N$$@K\$N(J$@6J@~(J$S_i,(i=1,2,\ldots,N)$$@$r<!$N$h$&$KDj5A$7$^$9!%(J
\[
S_i = \{p | \forall p \in X, 
	  \min_{q \in S_{i-1}}\|pq\| = \min_{r \in S_{i+1}}\|pr\|\}
\]
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\end{document}
----- $@$3$3$^$G(J -------

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Path: arc1-ca.pugleaf.net!sparky!uunet!wupost!darwin.sura.net!sgiblab!nec-gw!nec-tyo!wnoc-tyo-news!cs.titech!jaist-news!murata

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X-Google-Thread: f4956,25620c72d78e4b89,start
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X-Google-ArrivalTime: 1993-03-26 16:34:14 PST
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Path: arc1-ca.pugleaf.net!sparky!uunet!wupost!darwin.sura.net!sgiblab!nec-gw!nec-tyo!wnoc-tyo-news!cs.titech!jaist-news!murata
From: murata@jaist-east.ac.jp (Hiroshi Murata)
Subject: 2 curves between 2 point
Message-ID: <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp>
Lines: 51
Sender: news@jaist-east.ac.jp (News System Administrator)
Organization: Japan Advanced Institute of Science and Technology Hokuriku,
 Ishikawa, Japan
Distribution: fj
Date: Fri, 26 Mar 1993 03:26:10 GMT