🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: fj.sci.math
Article #14110

Re: 2 curves between 2 point

#14110
From: Hiroshi Murata
Date: Fri, 26 Mar 1993 08:16
59 lines
3346 bytes
In article <1993Mar26.065338.27108@cau1.crc.canon.co.jp> lala@cau1.crc.canon.co.jp (Hiroshi Matsuoka) writes:

   >>In article <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp> murata@jaist-east.ac.jp (Hiroshi Murata) writes:
   >>|$@J?LL>e$NM?$($i$l$?(J2$@E@(J [0 1] [0 -1] $@$N4V$r(J 
   >>|2(=N) $@K\$N(J$@6J@~(J S1 S2 $@$,DL$C$F$$$^$9!%(J
   >>|$@$=$l$>$l$N6J@~$ON>$H$J$j$NJ*BN(J($@6J@~$+E@(J)$@$H$N5wN%$r$G$-$k$@$1(J
   >>|$@Bg$-$/$H$k$h$&$K<+F0E*$K0\F0$7$^$9!%7k6I(J2$@$D$N5wN%$OEy$7$/$J$j$^$9!%(J
   >>					  ^^^^^^^^^^^^^
   >>$@2?(J$@$H2?$N4V$N5wN%$,2?$H2?$N4V$N5wN%$HEy$7$/$J$k$s$G$7$g$&$+!)(J
   >>S1$@$HJRJ}$NE@$H$N5wN%$H(JS2$@$HJLJ}$NE@$N5w(J$@N%$J$s$G$7$g$&$+!#(J
   >>
   >>$@!V#2$D$N6J@~$N4V$N5wN%!W$H$O$=$l$>$l$N6J@~$N>e$KG$0U$KE@$r(J
   >>$@A*$s$@>l(J$@9g$=$N#2E@4V$N5wN%$,:G>.$N$b$N$N;v$G$9$h$M!#(J

$@8m2r$r@8$`$+$J!<$H;W$C$?$i!$$d$C$Q$j@8$^$l$F$7$^$C$?!%(J

S1$@$NG$0U$NE@$r(Jp$@$H$7$^$9!%(JS2$@>e$N(Jp$@$X$N:G6aE@$r(Jq$@$H$7$^$9!%(J
$@$D$$$G$KE@(J[0 1]$@$r(Jr$@$H8F$S$^$9!%(J
$@Fs$D$N5wN%$H$$(J$@$&$N$O(J p,q$@$N5wN%(J $@$H(J p,r$@$N5wN%(J $@$J$N$G$9!%(J
$@=>$C$F!V#2$D$N6J@~$N4V$N5wN%!W$H$O0c$&$N$G$9!%(J

$@8@MUB-$i$:$G(J$@$7$?$M!%$4$a$s$J$5$$!%(J
$@L>A0$,;w$F$$$k$h$7$_$G5v$7$F$/$@$5$$!%(J

$@855-;v$N8eH>$N$[$&$KJdB-$,$"$j$^$7$F!$(J$@:F7G$5$;$F$$$?$@$-$^$9!%(J
$@$5$i$K5?Ld$,$N$3$l$P!$$3$A$i$b8+$F2<$5$$!%(J

---- $@:F7G$O$8$^$j(J ----------
   ($@JdB-(J)
   $@$b$&$9$3$7!$7A<0E*$KLdBj$N@_Dj$r=R$Y$F$_$^$9!%(J

   --- $@$3$3$+$i(J ------------
   \begin{document}
   $@<+A3?t(J $N$ $@$H!$(J2$@<!85%f!<%/%j%C%I6u4V(J $X = E^2$ $@$NFs$D$NE@(J
   $p_1 = (0,1),p_2 = (0,-1)$$@$,M?$((J$@$i$l$F$$$^$9!%(J
   1$@E@$+$i@.$k=89g$r(J2$@$DDj5A$7$^$9!%(J
   \begin{eqnarray*}
           S_0 = \{p_1\} \\
           S_{N+1} = \{p_2\}
   \end{eqnarray*}
   $N$$@K\$N6J@~(J$S_i,(i=1,2,\ldots,N)$$@$r<!$N$h$&$KDj5A$7(J$@$^$9!%(J
   \[
   S_i = \{p | \forall p \in X, 
             \min_{q \in S_{i-1}}\|pq\| = \min_{r \in S_{i+1}}\|pr\|\}
   \]
   $@$3$3$G!$(J$\|pq\|$$@$N5-K!$O(J2$@E@4V$N5wN%$rI=$7$F$$$^$9!%(J

   $N=2$$@$N$H$-$K$D$$$F!$(J$S_1$$@$r(J$f(x,y)=0$$@$N7A$KI=8=$7$F$/$@$5$$!%(J

   \end{document}
   ----- $@$3$3$^$G(J -------

---- $@:F7G$*$o(J$@$j(J ----------

$@$3$l$KD($j$:$K$h$m$7$/!%(J

--
 ------------------------------------
 $@B<ED(J $@MN(J $@!wKLN&@hC<(J$@2J3X5;=QBg3X1!Bg3X(J 
Technical Details
Message-ID: <MURATA.93Mar26171654@is19e1s08.jaist-east.ac.jp>
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!cs.titech!jaist-news!murata
References: <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp> <1993Mar26.065338.27108@cau1.crc.canon.co.jp>

Show Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,25620c72d78e4b89
X-Google-Attributes: gidf4956,public
X-Google-ArrivalTime: 1993-03-26 17:08:49 PST
Newsgroups: fj.sci.math
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!cs.titech!jaist-news!murata
From: murata@jaist-east.ac.jp (Hiroshi Murata)
Subject: Re: 2 curves between 2 point
In-Reply-To: lala@cau1.crc.canon.co.jp's message of 26 Mar 93 06:53:38 GMT
Message-ID: <MURATA.93Mar26171654@is19e1s08.jaist-east.ac.jp>
Lines: 59
Sender: news@jaist-east.ac.jp (News System Administrator)
Organization: Japan Advanced Institute of Science and Technology Hokuriku,
 Ishikawa, Japan
References: <MURATA.93Mar26122610@is19e1s08.jaist-east.ac.jp>
 <1993Mar26.065338.27108@cau1.crc.canon.co.jp>
Distribution: fj
Date: Fri, 26 Mar 1993 08:16:54 GMT