SHTLIB $B$N=i4|2=%k!<%A%s!%(B SHTLIB $B$NB>$N%5%V%k!<%A%s$r;HMQ$9$kA0$KI,$:0lEY8F$P$M$P$J$i$J$$!%(B
$B@ZCGGH?t(BM, $BEl@>J,3d?t(BI, $BFnKLJ,3d?t(BJ$B$K$D$$$F$O35MW$r;2>H!%(B
SHTINT(MM,JM,IM,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) WORK (R) $B=PNO!%(BSHTLIB$B$NB>$N%k!<%A%s$GMQ$$$i$l$k:n6HNN0h!%(B $BD9$5(B(JM+1)*(4*JM+5*MM+14)+(MM+1)*(MM+1) +MM+2+6*IM+15$B$N0l
$B%9%Z%/%H%k%G!<%?$N3JG<0LCV$r5a$a$k!%(B
SHTLIB$B$K$*$$$F!$%9%Z%/%H%k%G!<%?(B(S^m_n)$B$O35MW$K=R$Y$?@)8B$r$b(B $B$H$K!$FHN)$J(B(M+1)^2[email protected],(B; S^0_0,S^0_1,...,S^0_M, ReS^1_1),ReS^1_2),...,ReS^1_M), ImS^1_1),ImS^1_2),...,ImS^1_M), ...,ReS^M_M),ImS^M_M) $B$,$3$N=g=x$G!JD9$5(B(MM+1)**2$B$NG[Ns$K!K3JG<$5$l$F$$$k!%(B $B$3$3$K!$(BRe( )$B$OuGH?t(Bm$B$+(B $B$i(BReS^m_n)$B$H(BImS^m_n)$B$NG[NsCf$N3JG<0LCV$r5a$a$k$b$N$G$"$k!%(B
SHTNML(MM,N,M,LR,LI)
MM (I) $BF~NO!%@ZCGGH?t(B(M). N (I) $BF~NO!%A4GH?t(B(n) M (I) $BF~NO!%BS>uGH?t(B(m) LR (I) $B=PNO!%(BReS^m_n) $B$N3JG<0LCV!%(B LI (I) $B=PNO!%(BImS^m_n) $B$N3JG<0LCV!%(B
$B%9%Z%/%H%k%G!<%?$KBP$7$F%i%W%i%7%"%s$r1i;;$9$k!%(B
$B5eLLD4OB4X?tE83+(B G$B!J&K!$&U!K(B=$B&2(B^M_n=0$B&2(B^n_m=-n A^m_nP^m_n($B&U!K(Be^im$B&K(B. $B$KBP$7$F!"?eJ?(BLaplacian $B"`(B^2$B"a(B $B"_(B^2^2$B&U"_&K(B^2 +$B"_&U"_&U!J&U"_"_&U!K(B $B$r:nMQ$5$;$k$H!$5eLLD4OB4X?t$N@-$BK\%5%V%k!<%A%s$O!$(B IND=1$B$N>l9g$O(BA^m_n$B$+$i(BB^m_n$B"a(B -n(n+1)A^m_n$B$r!$(B IND=-1$B$N>l9g$O(BA^m_n$B$+$i(BB^m_n$B"a(B -A^m_n/n(n+1)$B$r(B $B7W;;$9$k$b$N$G$"$k!#(B
SHTLAP(MM,IND,A,B)
MM (I) $BF~NO!%@ZCGGH?t(B(M). IND (I) $BF~NO!%%i%W%i%7%"%s$N1i;;7A<0$r;XDj$9$k!J>e5-Dj(B $B5A$r;2>H!K(B. A (R) $BF~NO!%(BA^m_n$B$,3JG<$5$l$F$$$kG[Ns!JD9$5$*$h$SJB$S(B $BJ}$O(BSHTNML$B$r;2>H!K(B. B (R) $B=PNO!%(BB^m_n$B$,3JG<$kG[Ns!JD9$5$*$h$SJB$S(B $BJ}$O(BSHTNML$B$r;2>H!K(B.
$B%9%Z%/%H%k5UJQ49$NA0H>ItJ,$G$"$k%k%8%c%s%I%k5UJQ49$r9T$&!%(B
ISW=0$B$N>l9g!$DL>o$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a(Bdd$B&U&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a(Bim$B&U&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
SHTS2W(MM,JM,ISW,S,W,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!%(B W (R) $B=PNO!%%&%(!<%V%G!<%?!%(B $BD9$5(B(2*JM+1)*(2*MM+1) $B$NG[Ns!JJB$SJ}$O0J2<$NHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$N8eH>ItJ,$G$"$k%U!<%j%(5UJQ49$r9T$&!%(B
SHTS2W$B$K$h$C$F:n@.$5$l$?%&%(!<%V%G!<%?$KBP$7$F!$%U!<%j%(5UJQ49(B; G$B!J&K!$&U!K(B=$B&2(B^M_m=-MW^m$B!J&U!K(Be^im$B&K(B $B$r9T$&!%(B
SHTW2G(MM,JM,IM,W,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) W (R) $BF~NO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $BD9$5(B(2*IM+1)*(2*JM+1) $B$NG[Ns!JJB$SJ}$O0J2<$NHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
SHTS2W, SHTW2G$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k5UJQ49$r9T$&!%(B
ISW$B$*$h$SG[Ns(BS, W, G$B$N0UL#$O(B SHTS2W$B$*$h$S(BSHTW2G$B$KF1$8$G$"$k!%(B $BK\%5%V%k!<%A%s$O!$(BSHTS2W, SHTW2G$B$rO"B3$7$F(B $B9T$&$3$H$K$h$j!$(B
ISW=0$B$N>l9g!$DL>o$N%9%Z%/%H%k5UJQ49(B; G$B!J&K!$&U!K(B=$B&2(B^M_n=0$B&2(B^n_m=-n S^m_nP^m_n($B&U!K(Be^im$B&K(B. $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%9%Z%/%H%k5UJQ49(B; G$B!J&K!$&U!K(B=$B"_"_&U&2(B^M_n=0$B&2(B^n_m=-n S^m_nP^m_n($B&U!K(Be^im$B&K(B. $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%9%Z%/%H%k5UJQ49(B; G$B!J&K!$&U!K(B=$B"_"_&K&2(B^M_n=0$B&2(B^n_m=-n S^m_nP^m_n($B&U!K(Be^im$B&K(B. $B$r9T$&!%(B
SHTS2G(MM,JM,IM,ISW,S,W,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. W (R) $B=PNO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k@5JQ49$NA0H>ItJ,$G$"$k%U!<%j%(@5JQ49$r9T$&!%(B
$B%0%j%C%I%G!<%?$KBP$7$F!$%U!<%j%(@5JQ49(B; W^m$B!J&U!K"a(B2$B&P"i(B^2$B&P(B_0 G$B!J&K!$&U!K(Be^-im$B&K(Bd$B&K(B $B$r9T$&!%(B
SHTG2W(MM,JM,IM,G,W,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) G (R) $BF~NO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. W (R) $B=PNO!%%&%(!<%V%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k@5JQ49$N8eH>ItJ,$G$"$k%k%8%c%s%I%k@5JQ49$r9T$&!%(B
ISW=0$B$N>l9g!$DL>o$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2W^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2 d$B&U(B d$B&U(B $B!P&U(B W^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2 im$B&U(BW^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
SHTW2S(MM,JM,ISW,W,S,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B W (R) $BF~NO!%%&%(!<%V%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. S (R) $B=PNO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
SHTG2W, SHTW2S$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k@5JQ49$r9T$&!%(B
ISW$B$*$h$SG[Ns(BS, W, G$B$N0UL#$O(B SHTG2W$B$*$h$S(BSHTW2S$B$KF1$8$G$"$k!%(B $BK\%5%V%k!<%A%s$O!$(BSHTG2W, SHTW2S$B$rO"B3$7$F(B $B9T$&$3$H$K$h$j!$(B
ISW=0$B$N>l9g!$DL>o$N%9%Z%/%H%k@5JQ49(B; S^m_n=4$B&P"i(B^2$B&P(B_0$B"i(B^$B&P(B/2_-$B&P(B/2 G$B!J&K!$&U!K(BP^m_n($B&U!K(Be^-im$B&K&U(B d$B&U(B d$B&K(B . $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%9%Z%/%H%k@5JQ49(B; S^m_n=4$B&P"i(B^2$B&P(B_0$B"i(B^$B&P(B/2_-$B&P(B/2 $B"_&U"_&U(B $B!P&U(B G$B!J&K!$&U!K(B P^m_n($B&U!K(Be^-im$B&K&U(B d$B&U(B d$B&K(B . $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%9%Z%/%H%k@5JQ49(B; S^m_n=4$B&P"i(B^2$B&P(B_0$B"i(B^$B&P(B/2_-$B&P(B/2 $B"_&U"_&K!P(BG$B!J&K!$&U!K(B P^m_n($B&U!K(Be^-im$B&K&U(B d$B&U(B d$B&K(B . $B$r9T$&!%(B
SHTG2S(MM,JM,IM,ISW,G,W,S,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B G (R) $BF~NO!%%0%j%C%I%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. W (R) $B=PNO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. S (R) $B=PNO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$NA0H>ItJ,$G$"$k%k%8%c%s%I%k5UJQ49$r(B $B;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
$B%9%Z%/%H%k%G!<%?(BS^m_n$B$+$i!$%&%(!<%V%G!<%?(BW^m$B!J&U!K(B $B$X$NJQ49$r(BM1 |m|M2$B$NGH?tHO0O$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTS2W$B$r;2>H!%(B
SHTSWA(MM,JM,ISW,M1,M2,S,W,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$NH!K(B M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM!J>e5-Dj5A$r;2>H!K(B M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM!J>e5-Dj5A$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. W (R) $B=PNO!%%&%(!<%V%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$N8eH>ItJ,$G$"$k%U!<%j%(5UJQ49$r(B $B;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
$B%&%(!<%V%G!<%?(BW^m$B!J&U!K$+$i%0%j%C%I%G!<%?(BG$B!J&K!$&U!K(B $B$X$NJQ49$r(BM1 |m|M2$B$NGH?tHO0O$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTW2G$B$r;2>H!%(B
SHTWGA(MM,JM,IM,M1,M2,W,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM!J>e5-Dj5A$r;2>H!K(B M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM!J>e5-Dj5A$r;2>H!K(B W (R) $BF~NO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
SHTSWA, SHTWGA$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k5UJQ49$r;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
SHTSWA, SHTWGA$B$r;2>H!%(B
SHTSGA(MM,JM,IM,ISW,M1,M2,S,W,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) ISW (I) $BF~NO!%JQ49$NH!K(B M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM(B(SHTSWA$B$r;2>H!K(B M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM(B(SHTSWA$B$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. W (R) $B=PNO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTS2W$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$NA0H>ItJ,$G$"$k%k%8%c%s%I%k5UJQ49$r(B $B;[email protected],$N$_$K$D$$$F9T$&!%(B
$B%9%Z%/%H%k%G!<%?(BS^m_n$B$+$i!$%&%(!<%V%G!<%?(BW^m$B!J&U!K(B $B$X$NJQ49$r;[email protected],(B m=M(>0)$B$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTS2W$B$r;2>H!%(B
SHTSWM(MM,JM,M,ISW,S,WR,WI,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) M (I) $BF~NO!%JQ49$9$kGH?t!J>e5-Dj5A$r;2>H!K(B ISW (I) $BF~NO!%JQ49$NH!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WR (R) $B=PNO!%(BW^m$B!J&U!K$NH!K(B. WI (R) $B=PNO!%(BW^m$B!J&U!K$N5u?tItJ,!%(B $BD9$5(B2*JM+1$B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$N8eH>ItJ,$G$"$k%U!<%j%(5UJQ49$r(B $B;[email protected],$N$_$K$D$$$F9T$&!%(B
$B%&%(!<%V%G!<%?(BW^m$B!J&U!K$+$i%0%j%C%I%G!<%?(BG$B!J&K!$&U!K(B $B$X$NJQ49$r;[email protected],(Bm=M(>0)$B$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTW2G$B$r;2>H!%(B
SHTWGM(MM,JM,IM,M,WR,WI,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) M (I) $BF~NO!%JQ49$9$kGH?t!J>e5-Dj5A$r;2>H!K(B WR (R) $BF~NO!%(BW^m$B!J&U!K$NH!K(B. WI (R) $BF~NO!%(BW^m$B!J&U!K$N5u?tItJ,!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWM$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
SHTSWM, SHTWGM$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k5UJQ49$r;[email protected],$N$_$K$D$$$F9T$&!%(B
SHTSWM, SHTWGM$B$r;2>H!%(B
SHTSGM(MM,JM,IM,M,ISW,S,WR,WI,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) M (I) $BF~NO!%JQ49$9$kGH?t(B(SHTSWM$B$r;2>H!K(B ISW (I) $BF~NO!%JQ49$NH!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WR (R) $B=PNO!%(BW^m$B!J&U!K$NH!K(B. WI (R) $B=PNO!%(BW^m$B!J&U!K$N5u?tItJ,!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWM$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$NA0H>ItJ,$G$"$k%k%8%c%s%I%k5UJQ49$r(B $BBS>[email protected],$N$_$K$D$$$F9T$&!%(B
$B%9%Z%/%H%k%G!<%?(BS^m_n$B$+$i!$%&%(!<%V%G!<%?(BW^m$B!J&U!K(B $B$X$NJQ49$rBS>[email protected],(Bm=0$B$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTS2W$B$r;2>H!%(B
SHTSWZ(MM,JM,ISW,S,WZ,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$NH!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WZ (R) $B=PNO!%(BW^0$B!J&U!K$,3JG<$5$l$k!%(B $BD9$5(B2*JM+1$B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$N8eH>ItJ,$G$"$k%U!<%j%(5UJQ49$r(B $BBS>[email protected],$N$_$K$D$$$F9T$&!%(B
$B%&%(!<%V%G!<%?(BW^m$B!J&U!K$+$i%0%j%C%I%G!<%?(BG$B!J&K!$&U!K(B $B$X$NJQ49$rBS>[email protected],(Bm=0$B$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTW2G$B$r;2>H!%(B
SHTWGZ(JM,IM,WZ,G)
JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) WZ (R) $BF~NO!%%&%(!<%V%G!<%?(B(W^0$B!J&U!K(B) $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWZ$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B.
SHTSWZ, SHTWGZ$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k5UJQ49$rBS>[email protected],$N$_$K$D$$$F9T$&!%(B
SHTSWZ, SHTWGZ$B$r;2>H!%(B
SHTSGZ(MM,JM,IM,ISW,S,WZ,G,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) ISW (I) $BF~NO!%JQ49$NH!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WZ (R) $B=PNO!%%&%(!<%V%G!<%?(B(W^0$B!J&U!K(B) $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWZ$B$r;2>H!K(B. G (R) $B=PNO!%%0%j%C%I%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTW2G$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$NA0H>ItJ,$G$"$k%k%8%c%s%I%k5UJQ49$r(B $B;XDj$5$l$?0l$D$N0^EY1_>e$G;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
$B%9%Z%/%H%k%G!<%?(BS^m_n$B$+$i!$%&%(!<%V%G!<%?(BW^m$B!J&U!K(B $B;XDj$5$l$?0l$D$N0^EY1_&U(B_j$B>e$G(B M1 |m|M2$B$NGH?tHO0O$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTS2W$B$r;2>H!%(B
SHTSWJ(MM,JM,ISW,J,M1,M2,S,WJ,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$NH!K(B. J (I) $BF~NO!%JQ49$r9T$&0^EY1_$N;XDj!JHw9M$r;2>H!K(B. M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM!J>e5-Dj5A$r;2>H!K(B M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM!J>e5-Dj5A$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WJ (R) $B=PNO!%(BW^m$B!J&U(B_j) $B$,3JG<$5$l$k!%(B $BD9$5(B2*MM+1$B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%9%Z%/%H%k5UJQ49$N8eH>ItJ,$G$"$k%U!<%j%(5UJQ49$r(B $B0l$D$N0^EY1_>e$N%&%(!<%V%G!<%?$KBP$7$F(B $B;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
$B0l$D$N0^EY1_&U(B_j$B>e$K$*$$$F!$(B $B%&%(!<%V%G!<%?(BW^m$B!J&U(B_j)$B$+$i(B $B%0%j%C%I%G!<%?(BG$B!J&K!$&U(B_j) $B$X$NJQ49$r;XDj$5$l$?(B M1 |m|M2$B$NGH?tHO0O$N$_$K$D$$$F9T$&!%(B $BJQ49<0$O(BSHTW2G$B$r;2>H!%(B
SHTWGJ(MM,IM,M1,M2,WJ,GJ,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I). M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM!J>e5-Dj5A$r;2>H!K(B. M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM!J>e5-Dj5A$r;2>H!K(B. WJ (R) $BF~NO!%(BW^m$B!J&U(B_j) $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWJ$B$r;2>H!K(B. GJ (R) $B=PNO!%%0%j%C%I%G!<%?!%(B $BD9$5(B2*IM+1$B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
SHTSWJ, SHTWGJ$B$rO"B3$7$F9T$&$3$H$K$h$j!$(B $B%9%Z%/%H%k5UJQ49$r;XDj$5$l$?0l$D$N0^EY1_>e$G(B $B;XDj$5$l$?GH?t6h4V$N$_$K$D$$$F9T$&!%(B
SHTSWJ, SHTWGJ$B$r;2>H!%(B
SHTSGJ(MM,JM,IM,ISW,J,M1,M2,S,WJ,GJ,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) IM (I) $BF~NO!%El@>J,3d?t$N(B1/2(I) ISW (I) $BF~NO!%JQ49$NH!K(B. J (I) $BF~NO!%JQ49$r9T$&0^EY1_$N;XDj(B(SHTSWJ$B$r;2>H!K(B. M1 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:G>.CM(B(SHTSWJ$B$r;2>H!K(B M2 (I) $BF~NO!%JQ49$9$kGH?t6h4V$N:GBgCM(B(SHTSWJ$B$r;2>H!K(B S (R) $BF~NO!%%9%Z%/%H%k%G!<%?(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTNML$B$r;2>H!K(B. WJ (R) $B=PNO!%(BW^m$B!J&U(B_j) $B!JD9$5$*$h$SJB$SJ}$O(BSHTSWJ$B$r;2>H!K(B. GJ (R) $B=PNO!%%0%j%C%I%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTWGJ$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%k%8%c%s%I%kGf4X?t$r7W;;$9$k!%(B
$B;XDj$5$l$?BS>uGH?t(B0 m M$B$N%k%8%c%s%I%kGf4X?t(B; P^m_n($B&U!K(B (n=m,m+1,...,M) $B$r5a$a$k!J%k%8%c%s%I%kGf4X?t$NDj5A$O35MW$r;2>H!K(B.
SHTFUN(MM,JM,M,FUN,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) M (I) $BF~NO!%5a$a$k%k%8%c%s%I%kGf4X?t$NBS>uGH?t(B(m). FUN (R) P^m_n($B&U!K$,3JG<$5$l$kD9$5(B (2*JM+1)*(MM-M+1) $B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%k%8%c%s%I%k@5JQ49$r9T$&!%(B
$BBS>uGH?t(Bm( 0)$B$NISW=0$B$N>l9g!$DL>o$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2W^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2 dd$B&U(B $B!P(BW^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%k%8%c%s%I%k@5JQ49(B; S^m_n=$B"i(B^$B&P(B/2_-$B&P(B/2 -m$B&U(BW^m$B!J&U!K(BP^m_n($B&U!K&U(B d$B&U(B $B$r9T$&!%(B
SHTLFW(MM,JM,M,ISW,WM,SM,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B M (I) $BF~NO!%JQ49$r9T$&BS>uGH?t(B(m). WM (R) $BF~NO!%%&%(!<%V%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTLBW$B$r;2>H!K(B. SM (R) $B=PNO!%%9%Z%/%H%k%G!<%?!%(B $B!JD9$5$*$h$SJB$SJ}$O(BSHTLBW$B$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
$B%k%8%c%s%I%k5UJQ49$r9T$&!%(B
$BBS>uGH?t(Bm( 0)$B$NISW=0$B$N>l9g!$DL>o$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
ISW=1$B$N>l9g!$0^EYHyJ,$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a(Bdd$B&U&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
ISW=-1$B$N>l9g!$7PEYHyJ,$N%k%8%c%s%I%k5UJQ49(B; W^m$B!J&U!K"a(Bm$B&U&2(B^M_n=|m|S^m_nP^m_n($B&U!K(B $B$r9T$&!%(B
SHTLBW(MM,JM,M,ISW,SM,WM,WORK)
MM (I) $BF~NO!%@ZCGGH?t(B(M). JM (I) $BF~NO!%FnKLJ,3d?t$N(B1/2(J) ISW (I) $BF~NO!%JQ49$Ne5-Dj5A$r;2>H!K(B M (I) $BF~NO!%JQ49$r9T$&BS>uGH?t(B(m). SM (R) $BF~NO!%%9%Z%/%H%k%G!<%?!%(B $BD9$5(BMM-M+1$B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WM (R) $B=PNO!%%&%(!<%V%G!<%?!%(B $BD9$5(B(2*JM+1) $B$NG[Ns!JJB$SJ}$OHw9M$r;2>H!K(B. WORK (R) SHTINT$B$G=i4|2=$5$l$?:n6HNN0h!%(B
NUMAGUTI Atusi <[email protected]> Last Modified: Thu Aug 31 13:02:49 EDT 1995