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Next: $B$3$NJ8=q$K$D$$$F(B... (PDF ¥Õ¥¡¥¤¥ë: euler.pdf)

$BJ?@.(B 13 $BG/(B 6 $B7n(B 28 $BF|(B
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[I] $\vert E\vert=1$ $B$N$H$-(B
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[II] $\vert E\vert=k\geq 2$ $B$N$H$-(B
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  1. $B%k!<%W$,$"$k>l9g(B
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  5. $B $\deg(u_1)\geq 4$ $B$J$N$G!"(B$u_1$ $B$+$i(B $u_2$ $B$X$N(B 2 $B=EJU0J30$K(B $u_1$ $B$+$iB>$ND:E@(B $u_3$ $B$X$NJU(B $e$ $B$b$"$k!#$3$N(B $e$ $B$H(B 2 $B=EJU$+$i(B 1 $BK\$r(iii) $B$N$h$&$K(B $u_2$ $B$H(B $u_3$ $B$r7k$V(B $BJU$r:n$l$PNI$$!#O"7k@-$,LdBj$H$J$k$,!"(B$e$ $B$OJdBj(B 1 $B$K$h$j(B $B66$G$O$J$/!"$3$l$r
  6. $u_1$ $B$+$i(B $u_2$, $u_3$, $u_4$, $u_5$ $B$X$=$l$>$lJU(B $e_2$, $e_3$, $e_4$, $e_5$ $B$,=P$F$$$k$H$9$k!#(B $B$3$N>l9g$b(B (iii) $B$N$h$&$K$7$?$$$,!"Nc$($P(B $e_2$, $e_3$ $B$r(B $B, $u_3$ $B$r7k$VJU$rIU$12C$($?$H$-$K!"(B $B%0%i%U$,O"7k$G$J$/$J$k>l9g$,LdBj$H$J$k!#(B

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[II] $\vert E\vert=k\geq 2$ $B$N$H$-(B
$\vert E\vert<k$ $B$G$"$k$h$&$J%0%i%U$KBP$7$F$O!"$3$NDjM}$O@.$jN)$C$F$$$k$H(B $B2>Dj$9$k!#(B

$u_1$ $B$+$i%k!<%W$,=P$F$$$k>l9g$O>e$HF1$8$h$&$K%k!<%W$rDj$r;H$C$F%*%$%i! $B$=$&$G$J$$>l9g$O(B $u_1$ $B$+$iJL$JE@(B $u_2$ $B$X=P$kJU(B $e$ $B$,$"$k!#(B $e$ $B$OJdBj(B 1 $B$K$h$j66$G$O$J$$$N$G!"$3$N(B $e$ $B$rH4$$$F$b(B $u_1$ $B$H(B $u_2$ $B$r7k$V%Q%9$,B8:_$9$k!#$=$N%Q%9$H(B $e$ $B$r$D$J$2$P(B $u_1$ $B$+$i=P$F(B $u_1$ $B$KLa$k0l$D$N%5%$%/%k$,$G$-$k!#85$N%0%i%U$+$i(B $B$3$N%5%$%/%k$r:o=|$9$k$H(B ... $B$"$C!"$@$a!#O"7k$G$J$/$J$k!#(B





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Next: $B$3$NJ8=q$K$D$$$F(B...
Shigeharu TAKENO
2001$BG/(B 8$B7n(B 9$BF|(B