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$B"!5U;03Q4X?t(B
$B!!!&(BATN()$B!!%"!<%/%?%s%8%'%s%H(B
$B!!!&(BASN()$B!!%"!<%/%5%$%s(B
  $B%"!<%/%5%$%s$H%"!<%/%?%s%8%'%s%H$N4X78!"(BASN(X)=ATN(X/SQR(-X*X+1))
$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B-1$B!e(BX$B!e(B1
$B!!!&(BACN()$B!!%"!<%/%3%5%$%s(B
$B!!%"!<%/%3%5%$%s$H%"!<%/%?%s%8%'%s%H$N4X78!"(BACS(X)=$B&P(B/2-ATN(X/SQR(-X*X+1))
$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B-1$B!e(BX$B!e(B1

$B!!(B$B"#%"!<%/%?%s%8%'%s%H(B($B%5%V%k!<%A%sL>(B *ATN)
  $B!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BATNX
    $B7W;;7k2L$,F~$kJQ?t!!!!!!(BATNY ($BC10L$O(BRadian)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNF,ATNT,ATNN,ATNS
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!(B*ATNLOOP,*ATN00
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!L5$7(B

$B!!(B$B"#%"!<%/%5%$%s(B($B%5%V%k!<%A%sL>(B *ASN)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BASNX ($B7W;;HO0O(B:-1$B!e(BASNX$B!e(B1)
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BASNY ($BC10L$O(BRadian)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNX,ATNY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*ATN

$B!!(B$B"#%"!<%/%3%5%$%s(B($B%5%V%k!<%A%sL>(B *ACS)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BACSX ($B7W;;HO0O(B:-1$B!e(BACSX$B!e(B1)
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BACSY ($BC10L$O(BRadian)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNX,ATNY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*ATN

$B!!(B$B"#%"!<%/%?%s%8%'%s%H(BAG($B%5%V%k!<%A%sL>(B *ATNAG)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BATNAGX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BATNAGY ($BC10L$O(BDegree)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNX,ATNY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*ATN

$B!!(B$B"#%"!<%/%5%$%s(BAG($B%5%V%k!<%A%sL>(B *ASNAG)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BASNAGX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BASNAGY ($BC10L$O(BDegree)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNX,ATNY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*ATN

$B!!(B$B"#%"!<%/%3%5%$%s(BAG($B%5%V%k!<%A%sL>(B *ACSAG)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BACSAGX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BACSAGY ($BC10L$O(BDegree)
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BATNX,ATNY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*ATN

$B"!<+A3;X?t(B(Exp)
$B!!!&(BEXP()$B!!%(%-%9%]%M%s%7%c%k(B
$B!!(BEXP$B$H(BLOG($B<+A3BP?t(B)$B$N4X78!"(BY=EXP(X)$B$N$H$-(BX=LOG(Y)

$B!!(B$B"#%(%-%9%]%M%s%7%c%k(B($B%5%V%k!<%A%sL>(B *EXP)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BEXPX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BEXPY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BEXPK,EXPN
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!(B*EXPLOOP
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!L5$7(B

$B"!BP?t(B
$B!!!&(BLOG()$B!!!!<+A3BP?t(B
$B!!!&(BLOG10()$B!!>oMQBP?t(B
$B!!<+A3BP?t$H>oMQBP?t$N4X78!"(BLOG10(X)=LOG(X)/LOG(10)

$B!!(B$B"#<+A3BP?t%m(B$B%0(B($B%5%V%k!<%A%sL>(B *LOG)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BLOGX ($B7W;;HO0O(B:LOGX>0)
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BLOGY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGZ,LOGC,LOGD,LOGE,LOGB,LOGN,LOGK
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!(B*LOGEANS,*LOGCANS,*LOGANS,*LOGLOOP
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!L5$7(B

$B!!(B$B"#>oMQBP?t%m%0(B($B%5%V%k!<%A%sL>(B *LOG10)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BLOG10X ($B7W;;HO0O(B:LOGX>0)
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BLOG10Y
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG

$B"!(BX$B$N(BY$B>h(B(X^Y)
$B!!!&(BPOW() $B%Q%o!<(B

$B!!(B$B"#%Q%o!<(B($B%5%V%k!<%A%sL>(B *POW)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BPOWX,POWY
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BPOWA
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY,EXPX,EXPY,POWI,POWJ
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!(B*POWSEISU,*POWFU
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG,*EXP

$B?75,DI2CJ,(B

---

$B"!(B10$B$N(BX$B>h(B(10^X)
$B!!!&(BPOW10() $B%Q%o!<(B10

$B!!(B$B"#%Q%o!<(B10($B%5%V%k!<%A%sL>(B *POW10)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BPOW10X
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BPOW10Y
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG

---

$B"!AP6J4X?t(B($B%O%$%Q%\%j%C%/(B)
$B!!!&(Bsinh()$B!!%O%$%Q%\%j%C%/%5%$%s(B
$B!!!!!!(Bsinh$B$H(Bexp$B$N4X78!"(Bsinh(x)=(exp(x)-exp(-x))/2
$B!!!&(Bcosh()$B!!%O%$%Q%\%j%C%/%3%5%$%s(B
$B!!!!!!(Bcosh$B$H(Bexp$B$N4X78!"(Bcosh(x)=(exp(x)+exp(-x))/2
$B!!!&(Btanh()$B!!%O%$%Q%\%j%C%/%?%s%8%'%s%H(B
$B!!!!!!(Btanh$B$H(Bexp$B$N4X78!"(Btanh(x)=1-exp(-x)/(exp(x)+exp(-x))*2
$B!!!&(Basinh()$B!!%O%$%Q%\%j%C%/%"!<%/%5%$%s(B
$B!!!!!!(Basinh$B$H(Bln$B$N4X78!"(Basinh(x)=ln(x+$B"e(B(x*x+1))
$B!!!&(Bacosh()$B!!%O%$%Q%\%j%C%/%"!<%/%3%5%$%s(B
$B!!!!!!(Bacosh$B$H(Bln$B$N4X78!"(Bacosh(x)=ln(x+$B"e(B(x*x-1))
$B!!!&(Batanh()$B!!%O%$%Q%\%j%C%/%"!<%/%?%s%8%'%s%H(B
$B!!!!!!(Batanh$B$H(Bln$B$N4X78!"(Batanh(x)=ln((1+x)/(1-x))/2

$B!!(B$B"#%O%$%Q%\%j%C%/%5%$%s(B($B%5%V%k!<%A%sL>(B *SINH)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BSINHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BSINHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BSINHA,EXPX,EXPY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*EXP

$B!!(B$B"#%O%$%Q%\%j%C%/%3%5%$%s(B($B%5%V%k!<%A%sL>(B *COSH)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BCOSHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BCOSHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BCOSHA,EXPX,EXPY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*EXP

$B!!(B$B"#%O%$%Q%\%j%C%/%?%s%8%'%s%H(B($B%5%V%k!<%A%sL>(B *TANH)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BTANHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BTANHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BTANHA,EXPX,EXPY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*EXP

$B!!(B$B"#%O%$%Q%\%j%C%/%"!<%/%5%$%s(B($B%5%V%k!<%A%sL>(B *ASNH)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BASNHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BASNHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG

$B!!(B$B"#%O%$%Q%\%j%C%/%"!<%/%3%5%$%s(B($B%5%V%k!<%A%sL>(B *ACSH)
$B!!!!0z(B$B?t$H$7$FMQ$$$kJQ?t!!!!(BACSHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BACSHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG

$B!!(B$B"#%O%$%Q%\%j%C%/%"!<%/%?%s%8%'%s%H(B($B%5%V%k!<%A%sL>(B *ATNH)
$B!!!!0z?t$H$7$FMQ$$$kJQ?t!!!!(BATNHX
$B!!!!7W;;7k2L$,F~$kJQ?t!!!!!!(BATNHY
$B!!!!MQ$$$F$$$kJQ?t!!!!!!!!!!(BLOGX,LOGY
$B!!!!MQ$$$F$$$k%i%Y%k!!!!!!!!L5$7(B
$B!!!!8F$S=P$7$F$$$k%k!<%A%s!!(B*LOG

$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B
 

$B"!$D$$$K;d$b%i%$%s%^%9%?!<(B (2002.7.27)
 

$B!!(BGUU$B$5$s(B$B$,:n$i$l$?(BLINE GAME$B$3$l$,0U30$H$O$^$j$^$9!#;d$b2K$J$H$-$K$d$C$F$$$^$7$?$,!"$D$$$K(B$B#2#0#0#0E@%*!<%P!<(B$B$N(BLINE Master$B$K$J$j$^$7$?!#(B

$B!!(B$B$=$NB>!";d$N%Y%9%H$G$9!#(B

 

$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B

$B"!%6%&%k%9$G:G>.Fs>h6a;w6J@~$r5a$a$h$&(B $B$=$N#4(B (2002.7.21)

$B%@%&%s%m!<%I(B:trsclea1.lzh

$B!!:G>.Fs>h6a;w$N(B$B%P!<%8%g%s%"%C%W(B Ver 1.35$B$G$9!#(B
$B!!:#2s$N%P!<%8%g%s%"%C%W$G$O!":G>.Fs>h6a;w<0$,(B$B$"$kFCDj$NE@$rDL$k$h$&$J6a;w<0(B$B$r5a$a$k$3$H$,$G$-$k$h$&$K$7$^$7$?!#(B
$B!!$"$k(B$BDjE@(B(P,Q)$B$rDL$k6a;w<0$r5a$a$k$?$a$K$O!"86E@$rDL$k6a;w6J@~$r5a$a$kJ}K!$r1~MQ$9$k$3$H$K$h$j5a$a$k$3$H$,$G$-$^$9!#$=$l$G$O5a$a$?$$6a;w<0$,86E@$rDL$k$H$O$I$&$$$&$3$H$J$N$+!"<0$G@bL@$7$^$7$g$&!#(B
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

$B86E@$rDL$k:G>.Fs>h6a;w<0$K$D$$$F!"(B
$B!!$d$O$j!":G=i$OD>@~$NOC$7$r$7$^$7$g$&!#D>@~$H$O(B1$BY=aX$B$H$$$&<0$,0lHL<0(B$B$K$J$j$^$9!#$9$k$HD>@~$N>l9g(B$B78?t(Ba$B$@$1$r5a$a$l$P$h$$$N$G!"D64JC1$G$9!#$=$l$G$O2r$-$^$7$g$&!#(B
$B!!%G!<%?(BX0$B$H(BY0$B$,$"$C$?$H$-$N:G>.$r5a$a$?$$8m:9$NFs>h$N9g7W$O!"(B$B@h$K@bL@$7$?$3$H(B$B$r(BY=aX$B$KE,MQ$9$k$H!"&2(B(Yi-aXi)^2$B$,0lHV>.$5$/$J$l$PNI$$$H$$$&$3$H$K$J$j$^$9!#$d$O$jF1MM$K$3$N<0$K6K>.$rHyJ,$7$F5a$a$k$3$H$K$7$^$9!#(B

S=$B&2(B(Yi-aXi)^2$B$H$7$F!"Fs>h$rE83+$9$k$H!"(B
S=$B&2(B(Yi^2+a^2Xi^2-2aXiYi)$B$H$J$j$^$9!#(B

$B!!$3$N<0$r(Ba$B$GJPHyJ,$7$^$9!#(B
$B"_(BS/$B"_(Ba = $B&2(B(2Xi^2a-2XiYi)

$B!!6K>.$r5a$a$k$N$G!"HyJ,$7$?7k2L$,(B0$B$K$J$k$H$3$m$rC5$7$^$9!#>e$NHyJ,CM$,#0$K$J$k$H$3$m$rC5$;$PNI$$$G$9!#(B

$B&2(B(2Xi^2a-2XiYi)=0$B!!%7%0%^$rE83+$7$F!"(B
2$B&2(BXi^2a-2$B&2(BXiYi=0
2$B&2(BXi^2a = 2$B&2(BXiYi
$B&2(BXi^2a = $B&2(BXiYi     $B!&!&!&(B(1) $B$3$N<0(B(1)$B$O8e$G;H$&$N$h$s!#(B
a = ($B&2(BXiYi)/($B&2(BXi^2)

$B!!$H$J$j!"(Ba$B$,5a$^$j$^$9!#(B
$B!!$3$l$,!"86E@$rDL$kD>@~(B($B0l.Fs>h6a;w<0$r5a$a$kJ}K!$G$9!#(B

$B!!$G$O!"$3$l$r(B$BFse$KE83+(B$B$7$^$9!#86E@$rDL$k(B2$Bh$7$FAmOB$r$H$k<0$r:n$j$^$9!#(B

S=$B&2(B(Yi-aXi-bXi^2)^2
S=$B&2(B(Yi^2+Xi^2a^2+Xi^4b^2-2YiXia-2YiXi^2b+2Xi^3ab)

$B!!$3$N<0$r(Ba$B$H(Bb$B$GJPHyJ,$7$^$9!#(B

$B"_(BS/$B"_(Ba = $B&2(B(2Xi^2a-2YiXi+2Xi^3b)
$B"_(BS/$B"_(Bb = $B&2(B(2Xi^4b-2YiXi^2+2Xi^3a)

$B!!$3$l$i$r(B=$B#0$H$7$FE83+$7$^$9!#(B
$B&2(B(2Xi^2a-2YiXi+2Xi^3b) = 0
2$B&2(BXi^2a-2$B&2(BYiXi+2$B&2(BXi^3b = 0
2$B&2(BXi^2a+2$B&2(BXi^3b = 2$B&2(BYiXi
$B&2(BXi^2a + $B&2(BXi^3b = $B&2(BYiXi
$B&2(BXi^2a + $B&2(BXi^3b = $B&2(BYiXi$B!!!&!&!&(B(2)

$B&2(B(2Xi^4b-2YiXi^2+2Xi^3a) = 0
2$B&2(BXi^4b-2$B&2(BYiXi^2+2$B&2(BXi^3a = 0
2$B&2(BXi^4b+2$B&2(BXi^3a = 2$B&2(BYiXi^2
$B&2(BXi^4b + $B&2(BXi^3a = $B&2(BYiXi^2
$B&2(BXi^3a + $B&2(BXi^4b = $B&2(BYiXi^2$B!!!&!&!&(B(3)

$B!!$9$k$H!"(B2$B$D$N<0$,$G$-$^$9!#(B
$B&2(BXi^2a + $B&2(BXi^3b = $B&2(BYiXi$B!!(B  $B!&!&!&(B(2)
$B&2(BXi^3a + $B&2(BXi^4b = $B&2(BYiXi^2$B!!!&!&!&(B(3)

$B!!$J$k$[$I!&!&!&!#$8$c$"#3$B!!(B3$B$D$N<0$,$G$-$^$9!#(B
$B&2(BXi^2a + $B&2(BXi^3b + $B&2(BXi^4c = $B&2(BYiXi$B!!(B  $B!&!&!&(B(4)
$B&2(BXi^3a + $B&2(BXi^4b + $B&2(BXi^5c = $B&2(BYiXi^2$B!!!&!&!&(B(5)
$B&2(BXi^4a + $B&2(BXi^5b + $B&2(BXi^6c = $B&2(BYiXi^3$B!!!&!&!&(B(6)

$B!!$3$3$^$GMh$k$H!"J}Dx<0$N5,B'@-$,2r$C$F$-$^$7$?!#$3$N5,B'@-$O$I$3$+$G8+$?5,B'@-$HHs>o$K$h$/;w$F$$$^$9!#(B$B$=$&0lHL<0$N:G>.Fs>h6a;w<0$r5a$a$k$H$-$NJ}Dx<0(B$B$G$9!#$b$&0lEY!"$=$l$i$r=q$-$^$9!#(B

$B!!(B1$B
$B&2(Bn a + $B&2(BXi  b = $B&2(BYi
$B&2(BXia + $B&2(BXi^2b = $B&2(BXiYi
$B!!(B2$B
$B&2(Bna    + $B&2(BXib   + $B&2(BXi^2c = $B&2(BYi
$B&2(BXia   + $B&2(BXi^2b + $B&2(BXi^3c = $B&2(BYiXi
$B&2(BXi^2a + $B&2(BXi^3b + $B&2(BXi^4c = $B&2(BYiXi^2
$B!!(B3$B
$B&2(Bna    + $B&2(BXib   + $B&2(BXi^2c + $B&2(BXi^3d = $B&2(BYi
$B&2(BXia   + $B&2(BXi^2b + $B&2(BXi^3c + $B&2(BXi^4d = $B&2(BYiXi
$B&2(BXi^2a + $B&2(BXi^3b + $B&2(BXi^4c + $B&2(BXi^5d = $B&2(BYiXi^2
$B&2(BXi^3a + $B&2(BXi^4b + $B&2(BXi^5c + $B&2(BXi^6d = $B&2(BYiXi^3

$B!!:#2s$N>l9g!"(B
$B!!(B1$B
$B&2(BXi^2a = $B&2(BXiYi     $B!&!&!&(B(1)
$B!!(B2$B
$B&2(BXi^2a + $B&2(BXi^3b = $B&2(BYiXi$B!!(B  $B!&!&!&(B(2)
$B&2(BXi^3a + $B&2(BXi^4b = $B&2(BYiXi^2$B!!!&!&!&(B(3)
$B!!(B3$B
$B&2(BXi^2a + $B&2(BXi^3b + $B&2(BXi^4c = $B&2(BYiXi$B!!(B  $B!&!&!&(B(4)
$B&2(BXi^3a + $B&2(BXi^4b + $B&2(BXi^5c = $B&2(BYiXi^2$B!!!&!&!&(B(5)
$B&2(BXi^4a + $B&2(BXi^5b + $B&2(BXi^6c = $B&2(BYiXi^3$B!!!&!&!&(B(6)

$B!!$3$l$i$rHf3S$9$k$H!"86E@$rDL$k$H$-$NO"N)J}Dx<0$O!"0lHL<0$NO"N)J}Dx<0$+$i(B1$B$DL\$N<0$HB>$N<0$N(B1$B9`L\$,L5$/$J$C$F$$$k(B$B$@$1$G$9!#$H$$$&$3$H$O!"(B$B@h$N5,B'@-(B$B$+$i(B1$B9`L\L\$r5a$a$k$H$3$m$r>C$7$F(B$B$d$l$P(B$B!"(B$B86E@$rDL$k:G>.Fs>h6a;w6J@~$r5a$a$kO"N)J}Dx<0$r2r$/%W%m%0%i%`$r:n$k$3$H$,$G$-$^$9!#(B$B$3$3$^$G=q$$$FHh$l$?$N$G!"5,B'@-$O%=!<%9$r;29M$K$7$F$/$@$5$$!#(Bm(_ _)m

$B!!$5$"!"$^$@$^$@!"@h$OD9$$$G$9!#$G$O!"(B$BDjE@(B(P,Q)$B$rDL$k6a;w<0$r5a$a$kJ}K!$KLa$j$^$9!#(B$BDjE@(B(P,Q)$B$rDL$k:G>.Fs>h6a;w<0$r5a$a$k$?$a$K$O!"%G!<%?(B(Xi,Yi)$B$+$iDjE@(B(P,Q)$B$r0z$$$?$b$N(B(Xi',Yi')$B$r5a$a$F!"$3$l$i$N%G!<%?$rMQ$$$F86E@$rDL$k:G>.Fs>h6a;w$r9T$$!"5a$a$?6a;w<0$KDjE@(B(P,Q)$B$rBeF~$9$k$3$H$K$h$j5a$a$l$P$$$$$N$G$9!#(B

$B!!$G$O!"$d$O$j(B$BD>@~(B(1$B$BDjE@(B(P,Q)$B$rDL$k$H$$$&$3$H$O!"86E@$rDL$k$h$&$KCV$-49$($k$?$a$K!"%G!<%?$rJQ99$7$^$9!#(B
$B!!$9$Y$F$N(BX$B$H(BY$B%G!<%?$+$i(BP$B$H(BQ$B$r0z$-$^$9!#$=$l$r?7$?$J(B(X',Y')$B%G!<%?$H$7$^$9!#(B
 Xi'=Xi-P
 Yi'=Yi-Q

$B!!$3$N(BXi'$B$H(BYi'$B$N%G!<%?$K$D$$$F86E@$rDL$k:G>.Fs>h6a;w<0$r$b$H$a$k$H!"<0(B(7)$B$N$h$&$K$J$j$^$9!#(B
$B!!(BY'=aX'$B!!!&!&!&(B(7)
$B!!(Ba$B$,78?t$H$7$F5a$^$j$^$9!# X'=X-P$B!!!&!&!&(B(8)
 Y'=Y-Q$B!!!&!&!&(B(9)

$B!!$=$3$G!"<0(B(7)$B$K<0(B(8),(9)$B$rBeF~$7$F!"(B
 Y'=aX'
 Y-Q=a(X-P)
 Y=a(X-P)+Q
 Y=aX+(Q-aP)$B!!!&!&!&(B(10)

$B!!$D$^$j!"(B$B<0(B(10)$B$,DjE@(B(P,Q)$B$rDL$kD>@~(B(1$B$B$H$$$&$3$H$K$J$j$^$9!#(B
$B!!$G$O$3$l$r(B2$Be$KH/E8$5$;$^$9!#(B
$B!!(B2$B Y-Q=a(X-P)+b(X-P)^2
 Y=a(X-P)+b(X^2-2P+P^2)+Q
$B$3$N$h$&$K$J$j$^$9!#(B
$B!!$A$J$_$K<0$rE83+$;$:$K(B1$BY=a(X-P)+Q
Y=a(X-P)+b(X-P)^2+Q
Y=a(X-P)+b(X-P)^2+c(X-P)^3+Q
Y=a(X-P)+b(X-P)^2+c(X-P)^3+d(X-P)^4+Q
Y=a(X-P)+b(X-P)^2+c(X-P)^3+d(X-P)^4+e(X-P)^5+Q
Y=a(X-P)+b(X-P)^2+c(X-P)^3+d(X-P)^4+e(X-P)^5+f(X-P)^6+Q
$B!!6a;w<0$H$7$F$3$N$^$^I=<($7$F$bNI$$$G$9$,!"IT?F@Z$J$N$H3J9%$b0-$$$N$G!"$-$l$$$J7A$K$J$k$h$&$K@0M}$7$F$_$^$9!#$=$l$>$l(Ba,b,c,d,e,f$B$N9`$KCe$$$F<0$rE83+$7$^$9!#(B
a*(X-P)
b*(X^2-2XP+P^2)
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e*(X^5-5X^4P+10X^3P^2-10X^2P^3+5XP^4-P^5)
f*(X^6-6X^5P+15X^4P^2-20X^3P^3+15X^2P^4-6XP^5+P^6)
$B!!$3$N<0$+$i!"(BX$B$N>h?t$K1~$8$F78?t$r5a$a$k$H!"(B
X^6:f
X^5:e-6fP
X^4:15fP^2-5eP+d
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X^1:-6fP^5+5eP^4-4dP^3+3cP^2-2bP+a)
X^0:fP^6-eP^5+dP^4-cP^3+bP^2-Pa + Q
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$B!&BP?t$N<0(B(Y=a+b*ln(X))$B$N>l9g!"(B
$B!!DjE@(B(P,Q)$B$rDL$k<0$r=q$/$H!"(BY-Q=a*ln(X-P)$B$H=q$1$=$&$G$9$,!"$$$m$$$m7W;;!"8!;;$r$d$C$F$_$k$H!"(BY-Q=a*Ln(X-(P-1))$B$H$$$&<0(B$B$,F3$-=P$5$l$^$9!#2?8N!)(B(^^;
$B!!$9$J$o$A!"(B
Xi'=Xi-(P-1)
Yi'=Yi-Q
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$B!&;X?t$N<0(B(Y=a*Exp(b*X))$B$N>l9g!"(B
$B!!JU$r(BLn$B$r$H$C$F(BLn(Y)=Ln(a)+b*X$B$H$$$&<0$r2r$-$^$9!#DjE@(B(P,Q)$B$rDL$k>l9g$K(BLn(Y)=a*(X-P)+Ln(Q)$B$H$$$&<0(B$B$K$J$j$^$9!#(B
$B!!$9$J$o$A!"(B
Xi'=Xi-P
Yi'=Ln(Yi)-Ln(Q)
$B$H$7$F5a$a$?(B(X',Y')$B$rMQ$$$F86E@$rDL$k0l.Fs>h6a;w<0$r5a$a$k$3$H$,$G$-$^$9!#(B

$B!&N_>h$N<0(B(Y=a*X^b)$B$N>l9g(B$B!"(B
$B!!JU$r(BLn$B$r$H$C$F(BLn(Y)=Ln(a)+b*Ln(X)$B$H$$$&<0$r2r$-$^!#DjE@(B(x,y)$B$rDL$k>l9g$K(BLn(Y)=a*Ln{X+(1-P)}+Ln(Q)$B$H$$$&<0(B$B$K$J$j$^$9!#(B
$B!!$9$J$o$A!"(B
Xi'=Ln(Xi+1-P)
Yi'=Ln(Yi)-Ln(Q)
$B$H$7$F5a$a$?(B(X',Y')$B$rMQ$$$F86E@$rDL$k0lh$N:G>.Fs>h6a;w<0$r5a$a$k$3$H$,$G$-$^$9!#(B

$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B

$B"!(B$B$*$^$1%=%U%H(B $B%Z%s:BI8%A%'%C%+!<(B Ver0.10 (2002.6.30)

$B!!2hLL$N(B$B%Z%s%?%C%A$7$?>l=j(B$B$N:BI8$rD4$Y$k$3$H$,$G$-$^$9!#(B

$B!!e$K%^%&%9%+!<%=%k$,8=$o$l$^$9!#$3$N%+!<%=%k$r%Z%s$G%I%i%C%0$9$k$3$H$K$h$j%+!<%=%k$,0\F0$7!"Lp0u$N@h$,;X$7$F$$$k:BI8$,JQ$o$j$^$9!#(B
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$B!!MxMQJ}K!$H$7$F$O!"JL$N(BMORE$B%=%U%H$N@_Dj$G%Z%s%?%C%A0LCV$rCN$j$?$$$H$-$J$I$KLrN)$F$F$/$@$5$$!#(B
 
 
 
 
 
 
 
 
 
 
 

$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B

$B"!(B$B%Z%s%?%C%A(B$B%^%/%m$G$i$/$i$/<+F0%Z%sA`:n(B Ver0.20 (2002.6.30)

$B%@%&%s%m!<%I(B:trsuscr0.lzh
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$B!!6qBNE*$K$O!"(B$B%Z%s%?%C%A$rEPO?(B$B$7$F!"(B$B%6%&%k%9$N%Z%sA`:n$r<+F0$G9T$o(B$B$9$3$H$,$G$-$k%W%m%0%i%`$G$9!#(B
$B!!%^%/%m%G!<%?$O(Bkaol$B$5$s$,:n$i$l$?$N!V:BI8$N5-O?!W$H%3%s%Q%A$G$9!#(B

$B"#
$B!!-!EPO?$7$?%Z%s%?%C%A$r$B!!-"%Z%s%?%C%A%^%/%m$rEPO?$7$^$9!#(B
$B!!-#EPO?$7$?%Z%s%?%C%A%^%/%m$r(B944BASIC$B%"%W%j$H$7$FFHN)$5$;$^$9!#(B
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$B"#F1$8%^%/%m$r2?2s$b7+$jJV$7$Fl9g$K$O!"!V%^%/%m7+$jJV$7$B7+$jJV$7$B$7$F$/$@$5$$!#$=$N2s?t$@$1 
 

$B"#%Z%s%?%C%A%^%/%m$NEPO?(B
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$B!!-"7hDj%-!<$G!"%^%&%9%+!<%=%k0LCV$r5-O?$7$F$/$@$5$$!#(B
$B!!!!0LCV$O%^%&%9%+!<%=%k$N:8>e6y$K$J$j$^$9!#(B
$B!!-#=gAw$j%-!<$G%^%/%m5-O?$,=*N;$7$^$9!#(B

$B$=$NB>(B
$B!!!!%^%&%9%+!<%=%k$,8+$($J$/$J$C$F$b!"$"$k$O$:$NItJ,$r%?%C%A$9$k$H=P$F$-$^$9!#(B

$B!!:#2s$N%P!<%8%g%s%"%C%W$O!"$3$N(B$B%^%&%9%+!<%=%k$,%a%$%s$G$9(B$B!#%Z%s%?%C%A%^%/%m$J$N$G!"%?%C%A:BI80LCV$b%Z%s$G;XDj$7$?$+$C$?$N$G!":n$j$^$7$?!#(B$B$3$N%k!<%A%s$OB>$K$b1~MQ$G$-$k$+$bCN$l$^$;$s$M(B$B!#(B
 
 
 
 
 
 
 
 

$B"#(B$B%^%/%m$r(B9B$B%"%W%j$H$7$FFHN)(B
$B%Z%s%?%C%A%^%/%mEPO?$7$?%^%/%m$r0l$D$N(BBASIC$B%W%m%0%i%`$H$7$FFHN)$5$;$k$3$H$,$G$-$^$9!#(B
$B!!$3$l$O(B944BASIC$B$+$iD>@\$B$N$G$B30It$N%W%m%0%i%`$+$i$G$b%Z%s%?%C%A%^%/%m$r8F$S=P$;$k(B$B$H$$$&JXMx$5$,=P$F$-$^$9!#(B
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

$B"#>C5n$9$k%^%/%m$NA*Br(B
$B!!IT$B%^%/%m$r>C5n$9$k$3$H$,$G$-$^$9(B$B!#$3$l$O$^$@@5<0%"%J%&%s%9$5$l$F$$$^$;$s$,!"(BFILEDELETE$B$H$$$&%3%^%s%I$r;H$C$F$$$^$9!#(B

$B"#F1:-$N!V:#7n$N%+%l%s%@!Aw$7$J$/$F$b$+$^$$$^$;$s!#(B
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

$B!!%W%m%0%i%`Cf$N%Z%s%?%C%A$N:F@8$N$H$3$m$O!"(Bkaol$B$5$s(B$B$,:n$i$l$?!V5-O?$7$?:BI8$N:F@8!W$N%k!<%A%s$r$[$\$=$N$^$^kaol$B$5$s(B
$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B

$B"!%R%C%H%"%s%I%V%m!<(B Ver1.00 (2002.6.29)

$B!!!!@N$+$iNI$/$"$k?t;zEv$F%2!<%`$G$9!#%b%P%$%k%W%l%9$N(B2002$BG/2F9f$K:\$C$?%2!<%`$N%P!<%8%g%s%"%C%WHG$G$9!#:GC;5-O?$rJ]B8$9$k$h$&$K$7$^$7$?!#(B

$B"#M7$SJ}(B
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$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B
$B"!(BTools944BASIC$B!!(BVer. 1.13 (2002.6.29)

$B%@%&%s%m!<%I(B:tools944BASIC113.LZH

 

$B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!(B$B"$(B

$B"!(B$B%Z%s%?%C%A(B$B%^%/%m$G$i$/$i$/<+F0%Z%sA`:n(B Ver0.12 (2002.6.23)

$B%@%&%s%m!<%I(B:trsuscr0.lzh
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$B!!6qBNE*$K$O!"(B$B%Z%s%?%C%A$rEPO?(B$B$7$F!"(B$B%6%&%k%9$N%Z%sA`:n$r<+F0$G9T$o(B$B$9$3$H$,$G$-$k%W%m%0%i%`$G$9!#(B
$B!!%^%/%m%G!<%?$O(Bkaol$B$5$s$,:n$i$l$?$N!V:BI8$N5-O?!W$H%3%s%Q%A$G$9!#(B

$B"#
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$B!!-#EPO?$7$?%Z%s%?%C%A%^%/%m$r(B944BASIC$B%"%W%j$H$7$FFHN)$5$;$^$9!#(B
 
 
 
 
 
 
 
 
 

$B"#%Z%s%?%C%A%^%/%m$NEPO?(B
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$B"#(B$B%^%/%m$r(B9B$B%"%W%j$H$7$FFHN)(B
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$B!!%W%m%0%i%`Cf$N%Z%s%?%C%A$N5-O?$H:F@8$N$H$3$m$O!"(Bkaol$B$5$s$,:n$i$l$?!V:BI8$N5-O?!W!V5-O?$7$?:BI8$N:F@8!W$N%k!<%A%s$r$[$\$=$N$^$^

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$B"!%"%$%3%s$b(BBMP$B$b%I%C%H%(%G%#%?$G$5$/$5$/:n@.(BVer1.01 (2002.6.11)

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