$B=iEyNL;RNO3X(B2006$BG/EY9V5AO?Bh#92s(B

$B"+(B$BBh#82s$X(B$B!!(B$BL\$B!!(B$BBh#1#02s$X(B$B"*(B

6.3  $B1_<~>e$KH/@8$9$kGH$N=E$M9g$o$;(B

  $B>e$G$O69$$6u4V$KJD$89~$a$i$l$?GH$K4X$7$F!"IT3NDj@-4X78$,@.N)$9$k$3$H$r<($7$?!#JD$89~$a$i$l$F$$$J$$$,!"6u4V$N0lIt$K$@$1J,I[$7$F$$$kGH$N>l9g$O$I$N(B $B$h$&$K9M$($l$P$$$$$@$m$&$+!#$=$N>l9g!"$$$m$s$JGHD9$NGH$,=E$J$j9g$&$3$H$G!V6u4V$N0lIt$K$@$1J,I[$7$F$$$kGH!W$,$G$-$F$$$k$H9M$($k$3$H$,$G$-$k!#(B
  $BGH$N=E$M9g$o$;$r9M$($k4JC1$J%b%G%k$H$7$F!"H>7B(B1$B$N1_$N>e$KH/@8$7$F$$$kGH$r9M$($h$&!#1_<~$K$=$C$F$N:BI8$r(Bx$B$H$7$F$=$NHO0O$r(B[$B!]&P(B,$B&P(B]$B$H$7$h$&!#(B $B$9$k$H!"(Bx=$B!]&P$H(Bx=$B&P$OF10lE@$G$"$k!#$3$NGH$N!"$"$k0l=V$G$N7A$r(Bf(x)$B$H$$$&4X?t$GI=$9$H!"$3$N4X?t$O(Bsinx,sin2x,sin3x,$B!D(B $B$*$h$S(Bcosx,cos2x,cos3x,$B!D(B $B$GI=$5$l$k$h$&$J!"$$$m$s$JGHD9(B($B$?$@$7!"(B[2$B&P(B/$B<+A3?t(B]$B$K@)8B$5$l$k(B)$B$N;03Q4X?t(B($B$*$h$SDj?t(B)$B$NOB$G=q$+$l$k$3$H$,CN$i$l$F$$$k(B6$B!#$D$^$j!"(Bf($B!]&P(B)=f($B&P(B)$B$K$J$k(B $B$h$&$J4X?t(Bf(x) $B$O!"(B
f(x)= 1
2
 a0+ $B!g(B
$B-t(B
n=1 
 an cosnx+ $B!g(B
$B-t(B
n=1 
 bn sinnx
(6.3)
$B$H=q$1$k$N$G$"$k(B7$B!#$3$N$h$&$K4X?t(B $B$r;03Q4X?t$NOB$GI=$7$?$b$N$r!V%U!<%j%(5i?t!W$H8@$&!#$3$3$G!"(B


$B"i(B $B&P(B

$B!]&P(B 
 dx sinmx sinnx
=

$B!P(B
$B&P(B
m=n
0
m $B!b(B n


(6.4)


$B"i(B $B&P(B

$B!]&P(B 
 dx cosmx cosnx
=

$B!P(B
$B&P(B
m=n
0
m $B!b(B n


(6.5)


$B"i(B $B&P(B

$B!]&P(B 
 dx cosmx sinnx
=
0

(6.6)


$B"i(B $B&P(B

$B!]&P(B 
 dx sinnx
=
0

(6.7)


$B"i(B $B&P(B

$B!]&P(B 
 dx cosmx
=
0

(6.8)
$B$G$"$k!#$9$J$o$A!"$3$N<0$N3F9`$O!"<+J,<+?H0J30$H$+$1$F@QJ,$9$k$HEz$O(B0$B$K$J$C$F$$$k!#(B
$BGH$r0l<~4|J,@QJ,$9$k$H!";3(B($B%W%i%9JQ0L(B)$B$HC+(B($B%^%$%J%9JQ0L(B)$B$rB-$7$F$$$/$3$H$K$J$k$N$G!"I,$:(B0$B$H$J$k$H$$$&$N$,!">e$N$h$&$J<0$,@.N)$9$kM}M3$G$"(B $B$k!#Fs$D$NGH$r3]$1;;$9$k;~$bF1MM$@$,!"F1$8GH$r3]$1;;$7$?>l9g$K8B$C$F!"C+!_C+$b%W%i%9$K$J$k$N$G7k2L$O(B0$B$K$J$i$J$$!#(B
$B$3$N@-n,bn$B$r5a$a$F$$$/$3$H$,$G$-$k!#(B
$B$?$H$($P!"(Bf(x)$B$K(Bsinmx$B$r$+$1$F@QJ,$9$k$H!"(Bf(x)$B$NCf$N(Bsinmx$B$r4^$`9`0J30$OA4$F#0$H$J$j!"(B


$B"i(B $B&P(B

$B!]&P(B 
 dx sinmx f(x)
=$B&P(Bbm

(6.9)
$B$G$"$k$+$i!"(B

am
=

1
$B&P(B
$B"i(B $B&P(B

$B!]&P(B 
 dx f(x) cosmx

(6.10)

bm
=

1
$B&P(B
$B"i(B $B&P(B

$B!]&P(B 
 dx f(x) sinmx

(6.11)
$B$H5a$a$i$l$k(B(a0$B$NA0$N(B1/2$B$O!">e$N<0$,(Bm=0$B$G$b@.N)$9$k$3$H$KLrN)$C$F$$(B $B$k(B)$B!#(B
$B6qBNE*$J4X?t$H$7$F!"9b$5(BH$B$GI}(B2$B&D$N6k7AGH$r9M$($h$&!#$3$NGH$O(B
f(x)= $B!P(B
H
$B!]&D(B < x < $B&D(B
0
($B$=(B $B$l0J30(B)

(6.12)
$B$N$h$&$J4X?t$GI=$5$l$k!#(B
$B!!$3$N4X?t$r(Bsin,cos$B$NOB$GI=$7$?;~$N78?t$r5a$a$h$&!#(B

am
=

1
$B&P(B
$B"i(B $B&P(B

$B!]&P(B 
 dx cos mx f(x) = H
$B&P(B
$B"i(B $B&D(B

$B!]&D(B 
 dx cos mx



=

2H
m$B&P(B
 sin m$B&D(B

(6.13)

bm
=

1
$B&P(B
$B"i(B $B&P(B

$B!]&P(B 
 dx sin mx f(x)=0

(6.14)

a0
=

1
$B&P(B
$B"i(B $B&P(B

$B!]&P(B 
 dx f(x)= 2H$B&D(B
$B&P(B

(6.15)
$B$H$J$k!#(Bbm$B$,(B0$B$K$J$k$N$O!"(Bsin$B$,4q4X?t$G!"(Bf(x)$B$,6v4X?t$G$"$k$3$H$+$i$/$k!#$D$^$j!"(B
f(x)= H$B&D(B
$B&P(B
 + 2H
$B&P(B

$B-t(B
m=1 
sin m$B&D(B
m
 cos mx
(6.16)
$B$G$"$k!#(B
$B!!(BH=[$B&P(B/2],$B&D(B = 1$B$N>l9g$G$3$N%0%i%U$r=q$$$F$_$k!#>e$N?^$O!"&25-9f$NBh(B1$B9`$^$G(B(1/2+sin1 cosx)$B$H!"Bh(B2$B9`(B([sin2/2]cos2x)$B!"$=$7$F$=$l$rB-$7$FBh(B2$B9`$^$G(B(1/2+sin1 cosx+[sin2/2]cos2x)$B$K$7$?$b$N$G$"$k!#(B
$B!!;M3Q$$E@@~$O(Bf(x)$B$rI=$9!#Bh#39`$,B-$5$l$?$3$H$G!"4X?t$,$h$j(Bf(x)$B$K6a$$(B $B7A$K$J$C$F$$$k$3$H$,$o$+$k$G$"$m$&!#$3$N8e$b
$B!!(B$B$3$NMM;R$r8+$;$k$?$a$N(BJava$B%"%W%l%C%H$O(B$B$3$A$i(B$B!#(B

$B!!&D(B = 1,H=0.5$B$N>l9g$G!"Bh(B5$B9`$^$G!"Bh(B10$B9`$^$G!"Bh(B50$B9`$^$G$N%0%i%U$r=q$$$?$b$N$,2<$N?^$G$"$k!#>/$7$:$D6k7AGH$K6a$E$$$F$$$-!"HO0O30$NGH$,>.$5(B $B$/$J$C$F$$$/$N$,$o$+$k!#(B
$B!!Bh(B10$B9`$^$G.$5$$$H!"Bh(B10$B9`$^$G$rB-$7$?$@$1$G(B $B$O6k7A$K$J$i$:!"F~$C$FM_$7$$HO0O$N30$G$bGH$,$"$k$3$H$,$o$+$k!J$I$s$I$s9`?t$rA}$d$7$F$$$1$P!"$d$O$j6k7A$K6a$E$/!K!#(B
$B!!(B

$B!!$D$^$j&D$,JQ2=$9$k$H!"=E$M9g$o$;$k$Y$-GH$bJQ2=$7$F$$$/!#=E$M9g$o$;$kGH$N?6I}$rI=$9$N$,78?t(Bam=[sinm$B&D(B/m]$B$G$"$k(B $B$,!"(Bam$B$NMM;R$r%0%i%U$K$7$?$N$,>e$N%0%i%U$G$"$k!#&D$,>.$5$/$J$k$H!"$h$jBg$-$$(Bm$B$NGH$r$?$/$5$s2C$($J$/$F$O$$$1$J$$$3$H$,$o(B $B$+$k!#$3$l$O$D$^$j!V>.$5$$6k7AGH$r:n$k$?$a$K$O$h$jGHD9$NC;$$GH$r=E$M9g$o$;$J$/$F$O$$$1$J$$!W$H$$$&$3$H$G$"$k!#5U$K!"6k7A$h$jBg$-$$GH$r$$$/$iB-$7(B $B$F$b6k7A$,:n$j=P$;$J$$$3$H$OMF0W$K$o$+$k!#.$5$$GH$^$G$r$I$s$I$sB-$7$F$$$+$J$/$F$O$$$1$J$$$N$@$,!"$*$*$6$C$Q$K(B $B9M$($k$H(Bm$B&D(B = 2$B&P$H$J$k$^$G$rl9g$O(B∆x ∆p=4h$B$H$J$j!"IT3NDj@-4X78$KB'$7$F$$$k!#(B
$B!!IT3NDj@-4X78$O!"!V(B∆x$B$H(B∆p$B$N@Q$,(Bh$B$h$jBg$-$$!W$H$$$&=R$YJ}$r$9$k$H$:$$$V$s?@HkE*$KJ9$3$($k$,!"$$$C$?$sGHF0NO3XE*N)>l$rG'$a$F!"!V(B∆x$B$H(B∆ ([1/$B&K(B])$B$N@Q$,(B1 $B$h$jBg$-$$!W$H$$$&=R$YJ}$r$9$l$PIT;W5D$G$b$J$s$G$b$J$$4X78$G$"$k$3$H$,$o$+$k!#(B

$B!!7k6I$N$H$3$m!"2f!9$,4QB,$9$kJ*
$B!!$3$3$GOC$7$?$h$&$KJ#;($JGH$N=E$M9g$o$;$K$h$C$F2f!9$N@$3&$NJ*l=j$K6I:_$5$;$*$&$H$9$l$P$9$k$[$I!"B?$/$NGH$r=E$M$J$/$F$O$$$1$J$/$J$k!#$3$l$,IT3NDj@-4X78$N@5BN$J$N$G$"$k!#(B

6.4  $B1i=,LdBj!J;D$j!K(B

[$B1i=,LdBj(B6-5] (5.16)$B$GI=$5$l$k5i?t$G!"(B2H$B&D(B($B6k7A$NLL@Q(B)$B$r(B1$B$KJ]$C$?$^$^(B $B$G&D"*(B0$B$N6K8B$r$H$k$H$I$s$J4X?t$K$J$k$+!#7k2L$O8e$G=P$F$/$k%G%k%?4X?t$H$J$k!#(B

Footnotes:

6$B>ZL@$O$d$d$3$7$$$N(B $B$GN,$9$,!"$3$l$i$N5i?tOB$H(Bf(x)$B$N0c$$$O$$$/$i$G$b(B($B$D$^$j(B0$B$K$J$k$^$G(B)$B>.$5$/$G$-$k$3$H$,?t3XE*$K<($;$k!#(B
7a0$B$@(B $B$1A0$K(B1/2$B$r$D$1$FFCJL07$$$5$l$F$$$k$,!"$=$l$O8e$G:n$k(Ban$B$r5a$a$k<0$,4JC1$K(B $B$J$k$h$&$K$G$"$C$F!"?<$$0UL#$O$J$$!#(B

$B3X@8$N46A[!&%3%a%s%H$+$i(B

$B!!%U!<%j%(5i?t$N%0%i%U$r8+$F!"IT3NDj@-4X78$,>/$7$@$1$o$+$j$^$7$?!JB??t!K!#(B
$B!!(B$B$$$m$s$JJ}LL$+$i!">/$7$:$D$o$+$C$F$$$C$F$/$@$5$$!#(B

$B!!%U!<%j%(5i?t$C$FJXMx$G$9$M!#(B
$B!!:#F|$NOC$@$1$+$i$OA[A|$b$D$+$J$$$[$I!"$b$N$9$4$/JXMx$J;H$$J}$,$^$@$^(B $B$@$"$j$^$9!#(B

$B!!(Bam$B$H(Bbm$B$,(B0$B$K$J$C$?$j$J$i$J$+$C$?$j(B $B$9$k$N$O6v4X?t!"4q4X?t$G7h$^$k$N$G$7$g$&$+!)(B
$B!!6v4X?t$J$i(Bbm=0$B!"4q4X?t$J$i(Bam=0$B$G$9!#(B

$B!!(B$B7W;;$,Fq$7$$(B $B!JB??t!K!#(B
$B!!$3$l$+$i$b%U!<%j%(5i?t$N$*@$OC$K$O$h$/$J$k$H;W$&$N$G!"3P$($F$*$$$FB;(B $B$O$J$$$G$9$h!#(B

$B!!%U!<%j%($5$s$C$F$($i$$!#(B
$B!!$[$s$H$KJXMx$J$3$H$r9M$($F$/$l$?$b$N$G$9!#(B

$B!!>.$5$J@$3&$K$3$s$J$3$H$,5/$3$C$F$$$k$H;W$&$HIT;W5D$J5$J,$K$J$j$^$7$?!#(B
$B!!3N$+$K$=$&$G$9$M!#<+J,$G

$B!!DI;n$O$$$D$+$i$$$D$^$G$G$9$+!)(B
$B!!:#$+$iDI;n$N?4G[$G$9$+!#$J$k$Y$/$J$i$7$?$/$J$$$1$I!"$9$k$H$7$?$i0l=5(B $B4V8e!#$5$i$K2F5Y$_$KJd=,$N2DG=@-$b$"$j!#(B

$B!!(B$BGH$O>o$KO"B3(B $B$7$F$$$k$s$G$9$+!)$b$7$=$&$J$i$J$<$G$9$+!)(B
$B!!$?$$$F$$$NGH$O!"$=$NHyJ,!J79$-!K$N<+>h$KHfNc$7$?%(%M%k%.!<$r;}$D$N(B $B$G!"O"B3$7$F$J$$$H$$$&$3$H$O%(%M%k%.!

$B!!(BH$B$O$I$&$$$&1F6A$rM?$($k$N$G$9$+!)(B
$B!!A4BN$NGH$N9b$5$,(BH$B$KHfNc$7$F$^$9!#(B

$B!!(B$B%U!<%j%(5i?t(B $B$N(Bn$B$OI,$:@0?t$J$s$G$9$+!)(B
$B!!<~4|6-3&>r7o!!(Bf($B&P!K(B= -f(-$B&P(B)$B!!$rK~$?$9$?$a$K$O!"(Bn$B$,@0?t$G$J$/$F$O$$$1$^$;$s!#(B



$B"+(B$BBh#82s$X(B$B!!(B$BL\$B!!(B$BBh#1#02s$X(B$B"*(B



File translated from TEX by TTHgold, version 3.63.
On 16 Jun 2006, 18:58.