\vspace{0.5cm}
\noindent
{\bf 4. $BDj5A$H5-K!(B.}

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$BJQ49(B$T$$B$O$$$D$b0lBP0l$G$"$k$H$9$k!%E@(B$M$$B$N:BI8$O(B$x$$B$H(B$y$$B$G$"$k$H$7!"$=$NJQ498e$NE@(B$M'$$B$N:BI8$O(B$X$$B$H(B$Y$$B$H$9$k!%5UJQ49(B$T^{-1}$$B$K$h$kA|$N:BI8$O(B$(X)$$B$H(B$(Y)$$B$H$9$k!%(B

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$B$3$l$+$i9M;!$9$Y$-CmL\$9$Y$-6J@~$O0J2<$N$b$N$G$"$k!%(B

$1^{\circ}$ $B1_(B($B$^$?$O?eJ?@~(B) $x=c$;

$2^{\circ}$ $B6J@~(B$X=c$$B!%$3$l$rJQ49$7$?$b$N$,6J@~(B$x=c$$B$G$"$k!%$3$l$O6I=jE*$J0UL#$GJD$8$F$$$k6J@~$K4X$7$F$bF1MM$G$"$k(B;

$3^{\circ}$ $B6J@~(B$X=x$$B!%$3$N6J@~$r(B2$BK\9M$($?$H$-!"$?$H$(F1$8J}Dx<0$GI=$o$5$l$F$$$F$b!"F1$8J}Dx<0$rK~$?$9O"B3@~$G0lJ}$+$iB>J}$K0\$k$3$H$,$G$-$J$1$l$P!"$3$l$i$O0[$J$k(B2$B$D$N6J@~$H8+$J$9!%(B

$4^{\circ}$ $B>e$rJQ49$7$?6J@~(B$(X)=x$$B!%(B

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$B$7$?$,$C$F6J@~(B$X=x$$B$O<!$N(B3$B$D$N%+%F%4%j!<$KJ,$+$l$k!%(B

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$2^{\circ}$ $BBg0hE*$KJD$8$F$$$k6J@~!%(B

$3^{\circ}$ $B6I=jE*$KJD$8$F$$$k6J@~!%(B

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\vspace{0.5cm}
\noindent
{\bf 5. 2$BK\$NJD6J@~$N8r:9(B.}

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$$
  \alpha_1, \alpha_2, \cdots, \alpha_m.       \leqno(1)
$$
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$$
  \alpha_1 + m, \alpha_2+ m, \cdots, \alpha_m+ m. 
$$
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$B$7$?$,$C$F!">e$K=R$Y$?(B2$B$D$,!"?tNs(B(1)$B$,2DG=$G$"$k$?$a$NI,MW==J,>r7o$G$"$k!%(B
$B$3$N(B2$B$D$NDD=R$OF1CM$G$"$C$F!"Fs=EE@$r;}$?$J$$G$0U$N(B2$BK\$NJD6J@~$N8rE@$K$b1~MQ$G$-$k!%:G=i$NDD=R$K$*$$$F!"(B2$B$D$N(B($BBg0hE*$J(B)$BJD6J@~(B$X=c$$B$H(B$x=c$$B$r9M$(!"(B$X=c$$B$,4pK\8I$KJ,2r$5$l$F$$$k$H2>Dj$9$k!%BhFs$NDD=R$K$*$$$F$O!"(B2$B$D$N6J@~$NLr3d$r5U$K$7$F(B$x=c$$B$,4pK\8I$KJ,2r$5$l$F$$$k$H$9$k!%(B

2$BK\$N30It4pK\8I(B$AB$$B$H(B$CD$$B$r9M$($h$&!%C<E@(B$C$$B$H(B$D$$B$,D>8rI=<($G?eJ?@~(B$x=c$$B$N@~J,(B$AB$$B$K4^$^$l$F$*$j!"$7$+$b8I(B$CD$$B$O8I(B$AB$$B$H89(B$AB$$B$K0O$^$l$kLL@QFb$K4^$^$l$F$$$k$H$-!"(B$CD$$B$O(B$AB$$B$K(B\underline{$BJ$$o$l$F$$$k(B}$B$H$$$&!%FbIt8I$K4X$7$F$bF1$8Dj5A$,<+A3$KE,MQ$G$-$k!%(B

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$B>e$NDj5A$+$i!"MF0W$K0J2<$NL?Bj$rF3$1$k!%(B

$1^{\circ}$ 2$B$D$N8I$,D>@\J$$$9g$C$F$$$l$P!"0lJ}$O=g$G$"$j!"B>J}$O5U$G$"$k!%(B

$2^{\circ}$ $B0l<!8I$O$9$Y$F=g$G$"$k!%(B

$3^{\circ}$ $BJ,I[$,@55,$J$i!"4pK\8I$O$9$Y$F0l<!E*$G$"$k$HF1;~$K:G=*E*$G$"$k!%(B

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$B$3$N1dD9$N:]$K!"0l<!30It4pK\8I$NC<E@$KBP1~$9$kHV9f$r9M$($k$H!"$3$NHV9f$OA}Bg$9$k=g=x$GJB$s$G$$$k!%(B

$5^{\circ}$ $B0l<!8I$N(B($B$^$7$F$J$s$i$+$N8I$N(B)$BN>C<E@$NHV9f$N:9$O9b!9(B$m-1$$B$KEy$7$$!%(B

\vspace{3.5cm}
\hspace*{5cm} $B?^(B1

\vspace{4.0cm}
$B8rE@$N(B\underline{$B@J<!(B}(rang)$B$H$O!"Dj5A$h$j!"Ns(B(1)$B>e$G@j$a$k$=$NHV9f$N$3$H$G$"$k!%2?$,:G=*8I$rFCD'$E$1$k$+$H$$$&$H!"$=$l$O(B2$B$D$NC<E@$N@J<!!"$7$?$,$C$F$=$NHV9f$,AjB3$$$F$$$k$3$H$G$"$k!%@55,J,I[$r2?$,FCD'$E$1$F$$$k$+$H$$$&$H!"@J<!$,HV9f$HF1$8=g=x$GJB$s$G$$$k$3$H$G$"$j!"$"$kE@$N@J<!$r$=$NHV9f$H$D$M$K0lCW$5$;$k$3$H$,$G$-$k$3$H$G$"$k!%(B

$B>e$N$3$H$O?^(B1$B$G$h$/@bL@$G$-$k!%$3$N?^$O1_I=<($G$"$k!%(B2$B$D$N6-3&1_(B$x=a$$B$H(B$x=b$$B$O<B@~$G<($7$?!%6J@~(B$X=c$$B$b<B@~$G<($7$?!%0lJ}!"1_(B$x=c$$B$OE@@~$G<($7$?!%30It4pK\8I$,(B$12,34,56$$B$*$h$S(B$78$$B$G$"$k$3$H!"FbIt4pK\8I$,(B$23,45,67$$B$*$h$S(B$81$$B$G$"$k$3$H$,$o$+$k!%8I(B$12,78,67,23$$B$O0l<!E*$G$"$j!"8I(B$34,78,45,81$$B$O:G=*E*$G$"$k!%(B$34$$B$O(B$56$$B$KJ$$o$l!"(B$56$$B$O(B$12$$B$KJ$$o$l$F$$$k!%(B

\vspace{0.5cm}
\noindent
{\bf 6. $BJ,;^$NHV9fIU$1(B.}

$BD>8rI=<($G(B$X=x$$B$N0[$J$kJ,;^$r9M$($h$&!%3FJ,;^(B$(A)$$B$K?t(B$n(A)$$B$rBP1~$5$;$k!%$=$N:]0J2<$N$h$&$J>r7o$r$D$1$k!%(B

$B?eJ?@~(B$x=c$$B$,(B2$B$D$NJ,;^(B$(A)$$B$H(B$(B)$$B$r2#@Z$j!"(B$(A)$$B$H$N8rE@$,(B$(B)$$B$H$N8rE@$N:8$K$"$k$J$i!"<!$N$h$&$K=q$/!%(B
$$
  n(A) < n(B).
$$

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$BD>8rI=<($G!"J,;^$N?t$OL58B$G$"$j!"@J<!$O(B$-\infty$$B$+$i(B$+\infty$$B$^$GB3$/!%$7$+$7$3$NJ,;^$O1_I=<($G$OM-8B8D$NJ,;^$K$7$+BP1~$7$J$$!%$J$<$J$i1_I=<($N$9$Y$F$NE@$OD>8rI=<($NL58B8D$NE@$KBP1~$9$k$+$i$G$"$k!%$7$?$,$C$FD>8rI=<($N(B$y=y_0$$B$H(B$y=y_0+2\pi$$B$N4V$K64$^$l!"M-8B8D$NJ,;^$r4^$`ItJ,$rI=$o$9$@$1$G==J,$G$"$k!%D>8rI=<($G$O(B$y$$B$,(B$2\pi$$BA}$($?$H$-<~4|E*$KJQ$o$k$@$1$@$+$i$G$"$k!%(B

$BF1MM$N;EJ}$G(B$(X)=x$$B$NJ,;^$N(B\underline{$B@J<!(B}$B$rDj5A$G$-$k!%J,;^(B$X=x$$B$N(B\underline{$BHV9f(B}(num\'{e}ro)$B$O$=$NJQ498e$NJ,;^(B$(X)=x$$B$N@J<!$G$"$k!%J,;^(B$(X)=x$$B$N(B\underline{$BHV9f(B}$B$O$=$N5UJQ498e$NJ,;^(B$X=x$$B$N@J<!$G$"$k!%(B

$BJ,;^(B$X=x$$B$NHV9f$E$1$HA0@a$GD4$Y$?(B$X=c$$B$H(B$x=c$$B$N8rE@$NHV9f$E$1$N4X78$O4JC1$K@bL@$G$-$k!%(B

$BD>8rI=<($G$O?eJ?@~$K$J$k1_(B$x=c$$B$r9M$($h$&!%$3$l$H(B$X=c$$B$H$N8rE@$O(B$X=x$$B$N$"$kJ,;^>e$K$"$k!%(B

$B?eJ?@~(B$x=c$$B$O(B$X=x$$B$N$9$Y$F$NJ,;^$H8r$o$k$3$H$O$J$$!%$7$+$7!"$3$NJ,;^$H$N8rE@$O(B$X=c$$B>e$K$"$k!%(B$X=c$$B$H$N8rE@$NHV9f$*$h$S@J<!$O!"BP1~$9$k(B$X=x$$B$NJ,;^$NHV9f$*$h$S@J<!$H$^$C$?$/F1$8=g=x$GJB$s$G$$$k!%$7$+$7(B$X=c$$B$H(B$x=c$$B$N8rE@$NHV9f(B($B$^$?$O@J<!(B)$BNs$K7d4V$,$J$$$H$7$F$b!"BP1~$9$k(B$X=x$$B$NJ,;^$NHV9f(B($B$^$?$O@J<!(B)$BNs$K$O$"$jF@$k!%$H$$$&$N$O(B$x=c$$B$O$9$Y$F$NJ,;^$H8r$o$k$o$1$G$O$J$$$+$i$G$"$k!%BhFs$NNs$+$iBh0l$NNs$K0\$k$K$O!VBbNs$r$D$a$l!W$P==J,$G$"$k!%!VBbNs$r$D$a$k!W:]$KHV9f$N6v4q$OJQ$o$i$J$$(B($B@J<!$K$D$$$F$bF1$8(B)$B$3$H$r;XE&$7$F$*$/!%(B

2$B$D$NJ,;^$NHV9f(B($B$^$?$O@J<!(B)$B$,(B\underline{$BM?$($i$l$??eJ?@~(B}$x=c$\underline{$B$N9b$5$GAjB3$$$F$$$k(B}$B$H$$$o$l$k$N$O!"$3$N?eJ?@~$,$3$l$i(B2$B$D$NJ,;^$NHV9f(B($B$^$?$O@J<!(B)$B$N4V$K64$^$l$F$$$k$h$&$JHV9f(B($B$^$?$O@J<!(B)$B$NJ,;^$H$O8r$o$i$J$$$H$-$G$"$k!%(B

$B0J>e$NLsB+$N$"$H$G$O!"J,;^(B$X=x$$B$NHV9f!"$=$N@J<!!"$^$?(B$X=c$$B$H(B$x=c$$B$N4V$NBP1~$9$k8rE@$NHV9f$O$D$M$KF1$86v4q@-$r<($9!%(B

$B6J@~(B$X=x$$B$O1_4D(B($B$^$?$O$=$ND>8rI=<((B)$B$rNN0h$KJ,$1$k!%$"$kNN0h$G$O(B$X>x$$B$G$"$j!"JL$NNN0h$G$O(B$X<x$$B$G$"$k!%$3$N@a$HA0$N@a$NLsB+$+$i!"(B$X>x$\underline{$B$J$kNN0h$O:8$+$i6v?tHV9f$NJ,;^(B} \underline{$B$K$h$C$F8B$i$l!"1&$+$i4q?tHV9f$NJ,;^$K$h$C$F8B$i$l$F$$$k(B}$B!%$3$l$ONN0h(B$X<x$$B$G$O5U$K$J$C$F$$$k!%(B

2$B$D$NJ,;^$,$D$J$,$C$F$$$kDlE@(B($B$^$?$OD:E@(B)$B$r9M$($h$&!%(B$\alpha_0$$B$H(B$\beta_0$$B$r:8$NJ,;^$NHV9f$H@J<!$H$7!"(B$\alpha_1$$B$H(B$\beta_1$$B$r1&$NJ,;^$NHV9f$H@J<!$H$9$k!%(B2$B$D$NHV9f(B$\alpha_0$$B$H(B$\alpha_1$$B$O(B2$B$D$N@J<!(B$\beta_0$$B$H(B$\beta_1$$B$HF1MM!"(B\underline{$BDlE@(B($B$^$?$OD:E@(B)$B$N9b$5$GAjB3$$$F$$$k(B}$B!%(B$\alpha_0$$B$,4q?t$J$i$3$NDlE@(B($B$^$?$OD:E@(B)$B$r(B\underline{$B4qDlE@(B}($B$^$?$O(B\underline{$B4qD:E@(B})$B$H8F$S!"(B$\alpha_0$$B$,6v?t$J$i(B\underline{$B6vDlE@(B}($B$^$?$O(B\underline{$B6vD:E@(B})$B$H8F$V!%(B

$\alpha_0<\alpha_1$$B$J$iDlE@(B($B$^$?$OD:E@(B)$B$O(B\underline{$B=g(B}$B$G$"$j!"(B$\alpha_0>\alpha_1$$B$J$iDlE@(B($B$^$?$OD:E@(B)$B$O(B\underline{$B5U(B}$B$G$"$k$H$$$&!%(B