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In article <50op6f$j53@ces.ces.kyutech.ac.jp>
zhang@ces.ces.kyutech.ac.jp (Hong Zhang) writes:
>   $B$A$g$C$H$o$+$i$J$$$G$9$,!">e5-$NJ}K!$G$9$H!"(Bn(n+1)/2$B$NJQ(B
> $B?t$r5a$a$k$3$H$G$O$J$$$N$O!"0lHL@-$r<:$&62$l$,$"$k$G$O$J$$(B
> $B$+$H9M$($i$l$^$9!#$3$NE@$K$F!"$465<x$/$@$5$$!#(B

$BJ}Dx<0(B A X = \rho B $B$rK~$?$9$Y$7$H$$$&>r7o$+$i(B
A $B$N<+M3EY$O(B n(n-1)/2 $B$K8:$C$F$$$kLu$G$9(B. $B$=$l$r(B
$BL@3N$K$9$k$K$OD>8r9TNs(B  P $B$rMQ$$$F=q$-D>$9$HNI$$(B
$B$H$$$&$N$,;d$N?=$7>e$2$F$$$k$H$3$m$G$9(B.

$BF1CM$JJ}Dx<0$X$NJQ7A$G$9$+$i0lHL@-$r<:$&$3$H$O$"$j$^$;$s(B.

>   $B$b$&0lE@$r3NG'$7$?$$$G$9$,!"A*Dj$7$?D>8r9TNs(B P$B!"$3$N(B P$B$r(B
> P_1$B$H$7$^$9!#(BP_1$B$GDj$^$k9TNs&!$O0lC6$=$NH>@5DjCM$N>r7o$rK~(B
> $BB-$7$J$$>l9g$K$O!"$^$?<!$N(B P_2$B$"$k$$$O(B P_i$B$rC5$9$H$$$&;n9T(B
> $B:x8mE*$JJ}K!$r<h$C$F$h$m$7$$$G$7$g$&$+!#(B

$BJ,$+$jFq$$$N$G$"$l$P(B, P $B$O(B P X = e_1, P B = a e_1 + b e_2 $B$r(B
$BK~$?$9$b$N$r0l$D$H$C$FF0$+$5$J$$$H$*9M$(2<$5$$(B. $BC5$9$N$O(B
  C e_1 = \rho (a e_1 + b e_2)
$B$rK~$?$9BP>NH>@5DjCM9TNs(B  C $B$G$9(B. A = P^* C P $B$O<+F0E*$K(B
$BBP>NH>@5DjCM9TNs$G(B A X = \rho B $B$rK~$?$9$b$N$H$J$j$^$9(B.

# $B>e$rM}2r$5$l$?8e$G$"$l$P(B,
#  P X = e_1, P B = a e_1 + b e_2 $B$rK~$?$9(B
# P $B$r<h$jBX$($l$PB>$N2r$,8+$D$+$k$H$+(B,
# $B$=$l$O2r(B  C $B$r<h$jBX$($F$$$k$3$H$KB>$J$i$J$$$H$+(B,
# $B$3$N4X78$rMxMQ$7$F(B  C $B$N7A$rM=$a@)8B$G$-$k$H$+(B,
# $BOC$r?J$a$F$bNI$$$N$G$9$,(B. $B;d$NA05-;v$G$N(B  P $B$r<h$jBX$($F(B
# $B1>!9$NItJ,$O:9$7Ev$?$C$F$O$*K:$l2<$5$$(B.
-- 
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Tsukamoto, C. : chiaki@ipc.kit.ac.jp