Article View: fj.sci.math
Article #13966Re: fukusosu no kai?
From: Yuzuru Hiraga
Date: Mon, 18 Dec 1995 00:00
Date: Mon, 18 Dec 1995 00:00
246 lines
10940 bytes
10940 bytes
$BJ?2l!w?^=q4[>pJsBg3X$G$9!#(J
$B:4F#$5$s!wElKLBg$NLdBj!'(J
In article <94M08.95Dec12162518@ume.math.tohoku.ac.jp> 94m08@math.tohoku.ac.jp (Satou Hiroshi) writes:
>-----------------------------------------------------------------
> $B#x!\#1!?#x!a(Jsqrt($B#2(J) $B$N$H$-!"#x(J^2 $B!\#1!?#x(J^2 $B$r5a$a$h!#(J
>-----------------------------------------------------------------
>$B$G!"2r$$$F$_$k$H(J
> $B#x(J^2 $B!\#1!?#x(J^2 $B!a#0(J
>$B$K$J$j$^$9!#(J
>$B$3$l$C$FJQ$G$9$h$M!)(J
$B$K$D$-$^$7$F!"$$$m$$$m$J0U8+$,=P$F$$$^$9!#(J
$B$3$A$i$KFO$$$F$$$k$b$N$@$1$G$b0J2<$N5-;v$,$"$j$^$9!#(J
# $B!V%k!<%H5-9f$,8+$($J$$!W$H$$$C$?$b$N$O=|$$$F$"$j$^$9!#(J
# $B$^$?$d$d$3$7$/$J$k$N$G!"0J2<$G0zMQ$9$k>l9g!"2<$N(J <n> $BHV9f$r(J
# $BIU$9$@$1$K$7$^$9!#(J
<1> <94M08.95Dec12162518@ume.math.tohoku.ac.jp>$B!J855-;v!K(J
>$B:4F#!wElKLBg(J $B$G$9!#(J
<2> <4aqgf0$nfo@tomato.nwk.cl.nec.co.jp>
>$B#N#E#C$N@nEg$G$9!#(J
<3> <tsuji-1512951000410001@sdmac12.sd.tokyo.fujifilm.co.jp>
$B!!(J >$BDT!wIY;N%U%$%k%`$H$$$$$^$9!#(J
<4> <DJLtJE.spG@ioa.ogis-ri.co.jp>
>$B;3K\!w%*!<%8%9Am8&$G$9!#(J
<5> <DJLyIC.BGK@gw.omronsoft.co.jp>
>$B>>86!w%*%`%m%s%=%U%H%&%'%"$G$9!#(J
<6> <4ar32o$o6e@etlinn.etl.go.jp>
>$B?KC+4n5WM:!wJ*@-4pAC8&5f<<(J.$BEE;R4pACIt(J.$BEE;R5;=QAm9g8&5f=j(J
<7> <4arr5e$9op@ayame.ipc.chiba-u.ac.jp>
>$B$O$.$o$i!w$A$P$@$$$,$/$G$9$%!#(J
<8> <1995Dec15.023251.14894@siebold.cc.nagasaki-u.ac.jp>
>$BD9:jBg3X$N2<K\$H?=$7$^$9!#(J
<9> <B0512.95Dec15110913@bhind.nibh.go.jp>
>$B66K\!w@8L?8&$H?=$7$^$9!#(J
$BLdBj$KBP$9$kN)>l$rBgJL$9$k$H!'(J
A.$B<:Bj$G$"$k!"LdBj$,$*$+$7$$!#5-;v!'(J<1>, <3>, <9>, <5>?
$B0lJ}!"2?$i$+$N7A$GLdBj$rMFG'$9$k$b$N$H$7$F!'(J
B.$B!J7A<0E*$J!K<0$N7W;;$r9T$o$;$k$H$$$&4QE@$+$i$O$3$l$G$h$$!#(J
C.$B3N$+$K$*$+$7$$$,!"$=$N!V$*$+$7$5!W$K5$$E$+$;$k$H$$$&650iE*2ACM$O$"$k!#(J
$B$H$$$C$?$b$N$,$"$j$^$9!J(JB, C $B$K$D$$$F$O$I$&J,N`$7$F$$$$$+$o$+$i$J$$(J
$B>l9g$b$"$k$N$G!"5-;v$NJ,N`$O$7$^$;$s!K!#(J
$B$3$l$KBP$7$F!";d$b(J A $B$NN)>l!"$D$^$jL@$+$J<:Bj$H9M$($^$9!#(J
$B$G!"(JB, C $B$NN)>l$N?M$N$*$C$7$c$k$3$H$,$h$/$o$+$i$s$N$G$9$,(J...
$BM}M3$r0J2<$K!#(J
=======
$B$^$:OC$NBgA0Ds$H$7$F!"(J
(1) $BJ#AG?t$NCN<1$O$J$$$b$N$H2>Dj$9$k!#(J
$B$H$$$&$N$rN)$F$^$9!#(J
$B$3$l$O!VK\Ev$@$m$&$+!W$H$$$&5?Ld$b$J$$$G$O$J$$$N$G$9$,(J
$B!J$?$H$($P#2<!J}Dx<0$N5u:,$OCf3X$G=P$F$3$J$$$N$@$m$&$+!)!K!"(J
$B$=$NE@$rLdBj$K$7$F$$$k?M$O$$$J$$$N$G!"0l1~Ld$o$J$$$3$H$K$7$^$9!#(J
# $B$b$C$H$b$3$NA0Ds(J (1) $B$,@.$jN)$?$J$$$J$i!"$D$^$jJ#AG?t$NCN<1$,(J
# $B$^$,$j$J$j$K$b2>Dj$G$-$k$J$i!"0J2<$N5DO@$O$9$Y$F%Q%"$G$9!#(J
$B$3$l$r<e$/$7$?OC$H$7$F!"(J
(2) $B!V?t!W$H$$$C$?$i<B?t$G$"$k$H$$$&$N$O0EL[$NA0Ds$H$9$k(J
$B$H$$$&$N$rN)$F$^$9!#(J
$B$3$l$KBP$7$F$O0[O@$b$"$k$G$7$g$&$,!"(J(1) $B$rG'$a$k8B$j!"(J
$B$4$/AGD>$J!J$$$o$P!VG1$j$N$J$$!W!KLdBj$J$iEvA3$NA0Ds$G$9!#(J
=======
$B$5$F!"$=$N>e$GBh#1$N!J$"$k0UL#$G$O:GBg$N!K5?Ld$O!"(J
$B!V=PBj<T$O0U<1$7$F=PBj$7$F$$$?$N$@$m$&$+!W$H$$$&E@$G$9!#(J
$B$b$7L50U<1$N!"$$$o$P%&%C%+%j%_%9$J$i!"(JB, C $B$NMJ8nO@$O(J
$B$9$Y$F$`$J$7$$$b$N$K$J$j$^$9!#(J
$B7kO@$+$i8@$($P!";d$O%&%C%+%j%_%9$N2DG=@-$,$+$J$j9b$$$H;W$$$^$9!#(J
$B$b$A$m$s$3$l$K$D$$$F$O=PBj<TEv?M$KJ9$+$J$1$l$P$o$+$j$^$;$s$,!"(J
$B$3$&$$$&LdBj$,;}$A>e$,$k$H$J$k$H!"!V:G=i$+$i0U?^$7$F$$$?$N$@!W$H(J
$B6/J[$5$l$k$+$b$7$l$:!"3N$+$J$3$H$,$o$+$k$+$O5?Ld$G$9!#(J
$B!J$b$A$m$s$3$l$O:G=i$+$i=PBj<T$,6/J[$7$F$/$k$H7h$a$F$+$+$C$F$$$k(J
$B$o$1$G$O$J$/!"6/J[$+$=$&$G$J$$$+$O$3$A$i$G$OH=CG$G$-$J$$!"(J
$B$H$$$&0UL#$G$9!K!#(J
$B>u67>Z5r$H$7$F$O!'(J
<1>$B<XB-$J$,$iIU$12C$($^$9$H!"$=$NLdBj$N=PBj<T$O=U$K<RL>JQ99$7$?(J
<1>$BK?Bg<j650i=PHG2q<R$G$9!#(J
B***** $B$+$J!#(J :-)
$B$3$NCf$K$"$k2rEz!J$b$7$"$l$P!K$H$+!"F1MM$NG1$jLdBj$,B>$K$"$k$+(J
$B$H$$$C$?$h$&$JE@$+$iH=CG$G$-$k$G$7$g$&!#(J
$BM>CL$J$,$i!"!VG1$jLdBj$G$J$$!W$H9M$($kM}M3$N#1$D$O!"(J
$BF~;nLdBj$J$I$G$bJ8It>J$+$i7k9=$$$m$$$m%A%'%C%/$,F~$k$+$i$G$9!#(J
$B!J$?$H$($P!V4pAC2r@O!W$NHyJ,LdBj$G!V@Q$NHyJ,!W$r;H$&$h$&$J2rK!$O(J
$B$b$&%A%'%C%/$G$9!#!V@Q$NHyJ,!W$O!VHyJ,@QJ,!W$NNN0h$G!"NN0h30$@$+$i$G$9!#(J
$B$?$$$F$$$N<u83@8$OCN$C$F$$$k$N$K!#!K(J
<2>$B$d$C$Q$j$3$&$$$&LdBj$,F~;n$K=P$F$/$k$H$3$m$b$"$k$N$@$m$&$+!)(J
$B$3$NLdBj$J$I!"!JJ#AG?t$NCN<1$,$J$$$H$$$&A0Ds$G$3$N$^$^=PBj$5$l$?$i!K(J
$B$^$:%A%'%C%/$^$A$,$$$J$7$G$9!#(J
$B$=$&$$$C$?KA81$r!VBg<j!W=PHG<R$,KA$9$H$O;W$($^$;$s!#(J
=======
$B$=$3$GA10U$K9M$($F!J$H$$$&$h$j!"OC$r@h$K?J$a$k$?$a$K!K(J
$B!V0U?^E*$J=PBj$G$"$k!W$H2>Dj$7$^$9!#(J
$B$3$l$K$D$$$F$O!">e$N(J B $B$N!V$3$l$G$$$$$N$@!W$H$$$&N)>l(J
$B!J$+$i$N=PBj!K$O$$$/$i$J$s$G$bK=O@$H;W$$$^$9$7!"(J
C $B$N!V$*$+$7$5$K5$$E$+$;$k!W$OL5M}$,$"$k$H;W$$$^$9!#(J
$B$^$:(J
<1>$B$?$@!"#x$NCM$,H=$C$F$7$^$&$h$&$J$b$N$@$H!"BeF~$7$F2r$/@8EL$,(J
<1>$B$$$k$+$i!"$H$$$&M}M3$+$b$7$l$^$;$s!#(J
$B$3$l$OM}M3$K$J$i$J$$$G$7$g$&!#:4F#$5$s$,<+J,$GEz$r$@$7$F$$$k$h$&$K!'(J
<1>$B$G$b$=$l$J$i$PJ#;($JL5M}?t$/$i$$$K$7$F$*$1$P$$$$$G$7$g$&!#(J
$B$G:Q$`OC$@$+$i$G$9!#(J
$B<B:]!"LdBj=8$rGA$1$P$=$&$$$C$?LdBj$O$$$/$i$G$b$"$j$^$9!#(J
$B$G!"7A<0E*$K!V(Jx^2+1/x^2=0$B!W$H$$$&Ez$r=P$;$P$=$l$G$h$7!"(J
$B$H$$$&$N$O!JJ#AG?t$rCN$i$J$$$H$$$&A0Ds$N$b$H$G$O!K(J
$B5U$K2rEz<T$N?t3XE*%;%s%9$,5?$o$l$^$9!#(J
$B$=$3$G(J C $B$N!V$*$+$7$5$K5$$E$$$F$b$i$$$?$$!W$K$J$k$o$1$G$9$,!"(J
$B;DG0$J$,$i<x6H!J$H$$$&$+650i!K$J$s$F$=$&6Z=q$-DL$j$K$O9T$-$^$;$s!#(J
$B$`$7$m!VEz$,=P$?!"$=$l$G(J OK$B!W$HAGDL$j$7$F$7$^$&J}$,BgItJ,$G$7$g$&(J
$B!J$D$^$jBgB??t$K$O!V?t3XE*%;%s%9!W$,4|BT$G$-$^$;$s!K!#(J
$B$=$3$K8eDI$$$G!V<B$O$3$NEz!"$*$+$7$/$J$$!)!W$J$s$F(J
$B8@$$=P$9$N$b$I$&$b4VH4$1$J46$8$,$7$^$9!#(J
$B$=$l$K$=$&$$$C$?!V<oL@$+$7!W$NA0$K$*$+$7$5$K5$$E$$$F$7$^$C$?(J
$B@8EL$K$I$&BP=h$9$k$+$bLdBj$G$9!#(J
$B>/$7F,$,F/$/@8EL$J$i!"!V(Jx^2+1/x^2=0$B!W0JA0$N!V(Jx+1/x=sqrt(2)$B!W(J
$B$NCJ3,$G$9$G$K$*$+$7$5$K5$$E$-$^$9!JAj2CAj>h$J$I;H$C$F!#(J
$B5U$N0UL#$G!"!V(Jx $B$NCM$r$^$:7W;;$7$F$7$^$&!W@8EL$b5$$E$/$G$7$g$&!K!#(J
$B$=$3$G!V$=$N$h$&$J(J x $B$O$J$$!"$7$?$,$C$F!V2r$J$7!W$G$"$k!W$H(J
$B<gD%$G$-$k5$9|$,$"$k$J$i$`$7$mLdBj$O$"$j$^$;$s!#(J
$B$b$C$H$b$=$N>l9g$G$b:NE@$O$I$&$9$k$N$G$7$g$&!)(J
$B$$$/$i!V?t3X$OEz$,#1$D$K7h$^$k$H$O8B$i$J$$!W$H$$$C$F$b!"(J
0 $B$H$$$&Ez$H!V2r$J$7!W$H$$$&Ez$rF1Ns$K:NE@$O$G$-$^$9$^$$!#(J
$B$7$+$7$b$C$HLdBj$J$N$O!"$*$+$7$5$,<+J,$N$;$$$@$H;W$$$3$s$G!"(J
$BG:$s$G$7$^$&>l9g$G$9!#$=$&$$$C$?$3$H$X$NG[N8$J$7$N=PBj$O!"(J
$B6K$a$F0UCO$,0-$$$H;W$$$^$9!#(J
<9>$B!V#x$,<B$O7/C#$NCN$i$J$$J#AG?t$H8@$&$b$N$@$C$?$N$@$h!W$J$I$H$$$&8@$$Lu(J
<9>$B$,5v$5$l$k$N$G$7$?$i!"?t3X$N<x6H$O2?$G$b$"$j$N@h@8$NFH:[$K$J$C$A$c$&!#(J
$B$KF146$G$9!#(J
======
$B<B$O(J B $B$N!V$3$l$G$$$$$N$@!W$H$$$&N)>l$K$O!"(J
$B$b$C$H!J?t3XE*$K!KK\<AE*$JLdBj$,$"$j$^$9!#(J
$B$3$l$K$O#2$D$NB&LL$,$"$j$^$9!#(J
$B$^$:Bh#1$K!"<0$N>e$G$N7A<0E*$J7W;;$GEz$,5!3#E*$KF@$i$l$k$+$i$H$$$C$F!"(J
$B$=$l$,@5$7$$$"$k$$$O0UL#$N$"$kJ]>Z$,$"$j$^$;$s(J
$B!JA0Ds>r7o$,$^$A$,$C$F$$$k>l9g$J$I!K!#(J
$B66K\$5$s$O!'(J
<9> x^2 = -1 $B$N$H$-(J x + 1/x $B$r5a$a$h!#(J
<9>$B$@$C$F=PBj$5$l$&$k$3$H$K$J$j$^$9$M!#(J
$B$H$$$&Nc$r=P$5$l$F$$$^$9!#(J
$B<c43C&@~$7$^$9$,!"$3$l$r#1Jb?J$a$F!'(J
x^4+x^2 $B$r5a$a$h(J
$B$J$i5!3#E*$KEz$,$G$^$9$,!"$G$O(J
x^2+x+1 $B$r5a$a$h(J
$B$J$i$I$&$+!#7A<0E*$K$O!V(Jx$B!W$H$$$&$N$,Ez$G$"$k$Y$-$G$7$g$&$,!"(J
$B2L$?$7$F$=$&M}2r$5$l$k$+$I$&$+!#(J
$B$=$l$h$j$b$C$H%I%i%9%F%#%C%/$K!"(J
$B!V(J(x+1)/x = 1 $B$N$H$-(J 1/x^2 $B$r5a$a$h!W(J
$B$O$I$&$G$7$g$&!#(J
$B7A<0E*$K$O$?$H$($P(J 1/x^2=0 $B$J$s$FEz$,=P$^$9$,!"(J
$B$3$3$i$X$s$^$G$/$l$P!"$$$/$i$J$s$G$bLdBj$NJ}$,$*$+$7$$$G$7$g$&!#(J
$B$7$+$7J#AG?t$rCN$i$J$$$H$$$&A0Ds$G$O!"85$NLdBj$@$C$FF1MM$K$*$+$7$$$N$G$9!#(J
<7>$B$"$j$($J$$<0$J$s$F$J$$$s$8$c$J$$$G$9$+!)(J
(x+1)/x = 1 $B$,!VM-$jF@$J$$<0$G$J$$!W$3$H$r<gD%$9$k$N$OAjEvBgJQ$H;W$$$^$9$,!#(J
$B$3$l$,Bh#2$NE@$K$D$J$,$k$o$1$G$9$,!"(J
$B!V<0$N7W;;!W$H$$$C$F$b!"$=$NCf$NJQ?t$J$I$b$9$Y$F<B?tCM$r$H$j!"(J
$B$=$N>e$G7W;;K!B'$d8x<0$J$I$,@.$jN)$C$F$$$^$9!#(J
$B$7$?$,$C$F$=$NOHAH$+$i$O$_=P$7$F$7$^$&>l9g!"(J
$B$=$b$=$b$=$&$$$C$?K!B'!&8x<0$,DLMQ$9$k$+$I$&$+!"(J
$B$?$H$($P7k9gN'!"2D49N'!">C5nN'$J$I$,@.$jN)$D$+$I$&$+$K$D$$$F!"(J
$B2?$NJ]>Z$b$"$j$^$;$s!#(J
$B85$NLdBj$GEz$,=P$k$H$$$&$N$O!"J#AG?t$NCN<1$,A0Ds$K$"$j!"(J
$B$=$3$G>e5-$NK!B'$,@.$jN)$D$3$H$r0EL[$KCN$C$F$$$k$+$i8@$($k$3$H$J$N$G$9!#(J
$B$G$9$+$i!'(J
<4>$B3N$+$K<B?t$7$+CN$i$J$$$HJQ$G$9$M!#(J
<4>$B$G$b$3$l$,JQ$@$H5$$,$D$1$k?M$OJ#AG?t$NB8:_$rCN$C$F$k?M$G$O!)(J
$B$H$$$&$N$O$"$k0UL#$G$OOC$,5U$G!"(J
$BJQ$@$H5$$E$/$3$H<+BN$OJ#AG?t$rCN$i$J$/$F$b2DG=$G$9$,!"(J
$B7k2L$,%D%8%D%^$,9g$&$H$$$&$N$OJ#AG?t$NCN<1$J$7$K$O$o$+$j$^$;$s!#(J
<1>$BL^O@!"J#AG?t$rCN$i$J$/$F$b$3$NLdBj$O2r$1$^$9!#(J
...
<4>$B$*$=$i$/$3$NLdBj$,07$o$l$F$$$?$N$O!V<0$N7W;;!W$H$+$$$&J,Ln$G$O!)(J
<4>$B#x$NCfL#$,$J$s$G$"$l!"J8;z<0$@$1$G=hM}$G$-$k$3$H$r3X$V$H$$$&0UL#$G$O(J
<4>$BE,Ev$JLdBj$N$h$&$K;W$$$^$9!#(J
...
<6>$B$s$G!$K\;]$G$9$,!$!V(Jx $B$r<B?t$H$9$k!%!W$H$$$&$h$&$J(J
<6>$B>r7o$,F~$C$F$J$$$N$G!$$3$NLdBj$G$O(J x $B$O$?$@$NJ8;z$@(J
<6>$B$H;W$C$F$h$$$H;W$$$^$9!%E83+8x<0$r$D$+$&;;=Q1i=,$@(J
<6>$B$H9M$($l$P<h$jN)$F$F5$$K$9$k$h$&$J$3$H$OL5$$$H;W$$(J
<6>$B$^$9!%(J
...
<7>$BLdBj$N$I$3$K$bJ#AG?t$NJ8;z$O$J$$$G$9$h!#(J
...
<9>$B3N$+$K!V<B?t$NHO0O$NA`:n!W$@$1$G2r$1$k$1$I!"7rA4$J2{5?$r$*$7DY$7$F$7$^(J
<9>$B$&!#(J
$BFC$K:G8e$N$O66K\$5$s$G$9$+$i$"$($F$+$_$D$/$H!"(J
$B$3$l$O87L)$K$O!V<B?t$NHO0O$NA`:n!W$G$O$o$+$j$^$;$s!#(J
$B$"$($F8@$&$J$i!"!V<B?t78?t>e$NM-M}<0BN>e$NA`:n!W$G$9!#(J
$B$=$7$FB?9`<04D$@$NM-M}<0BN$@$N$$$C$?35G0$r9b9;@8Aj<j$K(J
$B;}$A=P$9J}$,$`$7$mL5Cc$G$7$g$&!#(J
$B$9$k$HJQ?t$NCM$NHO0O$K$D$$$F!"$A$c$s$H$7$?:,5r$E$1$,$G$-$J$$$H!"(J
$B$b$O$d8x<0Ey$,<+BN$,$=$N$^$^DLMQ$9$k$+ITL@$G$9!#(J
<7>$B$b$7$+$7$?$i!"5u?t$I$3$m$G$O$J$$F@BN$NCN$l$J$$?t$NLdBj$,1#$l$F$$$k(J
<7>$B$+$b$7$l$J$$$N$G$9$h!"$G$b!"$=$3$KC/$b5$IU$$$F$J$$$o$1$G$9$h$M!#(J
$B$=$3$^$G$*$C$7$c$k$J$i!"$J$<8x<0$,$*$+$7$/$J$k$+$b$7$l$J$$(J
$B2DG=@-$^$G9M$($J$$$N$G$9$+!)(J
$B$?$H$($P85LdBj$r>/$7JQ$($F!"!V(Jx+1/x=0 $B$N$H$-(J x^2+1/x^2 $B$r5a$a$h!W(J
$B$H$$$&$N$O!"(JZ_2 $B>e$G9M$($l$P(J x=1, x^2+1/x^2=0 $B$K$J$j$^$9!#(J
$B85LdBj$,!V$3$l$G$h$$!W$H$$$&<gD%$O!"(J
$B$=$&$$$C$?2DG=@-$5$(GS=|$G$-$J$$$3$H$K$J$j$^$9!#(J
$B!JJ?2l!K(J
Technical Details
Message-ID:
<DJrpGL.7JM@ulis.ac.jp>Path:
arc1-ca.pugleaf.net!unknown!not-for-mailReferences:
<94M08.95Dec12162518@ume.math.tohoku.ac.jp>Show Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS X-Google-Thread: f4956,24e452c26f0cc54e X-Google-Attributes: gidf4956,public From: hiraga@ulis.ac.jp (Yuzuru Hiraga) Subject: Re: fukusosu no kai? Date: 1995/12/18 Message-ID: <DJrpGL.7JM@ulis.ac.jp> X-Deja-AN: 122222478 distribution: fj sender: news@ulis.ac.jp (bach Usenet News System) references: <94M08.95Dec12162518@ume.math.tohoku.ac.jp> organization: Univ. of Lib. & Info. Sci., Tsukuba Japan newsgroups: fj.sci.math