HDTenEightyP/NetNews huggingface dataset:
From: wd@kurims.kyoto-u.ac.jp (Kamo Hiroyasu)
Newsgroups: fj.kanji,fj.mail,fj.sys.pc98
Subject: Re: JIS-Kanji Code
Date: 10 Apr 92 03:38:13 GMT
	<2167@astecgw.astec.co.jp>
	<KANEKO.92Apr9183120@vodka.rcais.tohoku.ac.jp>
Followup-To: fj.kanji
Distribution: fj
Organization: Research Institute for Mathematical Sciences, Kyoto, Japan.
In-reply-to: kaneko@rcais.tohoku.ac.jp's message of 9 Apr 92 09:31:20 GMT


  $BHa$7$_$N$"$^$j:xMp$7$F$$$k3{$H$b$&$7$^$9!#!JHa$7$_$NM}M3$K$D$$$F$O(B 
fj.rec.sf $B;2>H!K(B

In article <KANEKO.92Apr9183120@vodka.rcais.tohoku.ac.jp>
 kaneko@rcais.tohoku.ac.jp (Yutaka Kaneko) writes:
 >  Char US ASCII         JIS Roman
 >    \  back slash       $B1_5-9f(B
 >    ~  tilde            over bar

  $B$3$NFs$D$OK\Ev!#(B

 >    `  accent grave     $B6uGr(B(??)

  $B$3$l$O13!#@N$N(B PC9801 $B$,JQBV$@$C$?$@$1!#$*$+$2$G(B Lisper $B$OLBOG$7$?$s(B
$B$@!#$P$+$d$m!A!*(B

 >    |  vertical line    vertical line ($B$?$@$7!"4V$N7d4V$,$J$$(B(??))

  $B$3$l$b13!#=D@~$N??Cf$,@Z$l$F$$$k%U%)%s%H$r;}$C$F$$$kC<Kv$,B?$$(B$B$1$I!"(B
$B5,3J$G$=$&$J$C$F$$$k$s$8$c$J$$!#(B

  $B$H$$$&$o$1$G!"(BANCI X3.4-1968 (ASCII) $B$H(B JIS X 0201 $B%m!<%^;z(B$B$N0c$$$O!"(B
5/12$B!J5U<P@~$H1_5-9f!K$H(B 7/14$B!J%A%k%@$H>e@~!K$NFs2U=j$H$$$&$N$,@52r$G(B
$B$9!#(B

					$B3{(B $B9@Lw(B@$B?t(B$BM}2r@O8&5f=j(B.$B5~ETBg3X(B
From: kaneko@icsi.Berkeley.EDU (Seiji Kaneko)
Newsgroups: fj.sci.math
Subject: Re: another math puzzle :-)
Date: 14 Apr 92 20:40:37
Organization: International Computer Science Institute
Distribution: fj
	<KANEKO.92Apr14181843@axiom.icsi.Berkeley>
NNTP-Posting-Host: axiom.icsi.berkeley.edu
In-reply-to: kaneko@icsi.Berkeley.EDU's message of 14 Apr 92 18:18:43

$@DI5-!#(J
>>>>> On 14 Apr 92 18:18:43, kaneko@icsi.Berkeley.EDU (Seiji Kaneko) said:
|> 0 < (m)^(1/3)- (m-1)^(1/3) < 10^(-3)

y = x^(1/3)-(x-1)^(1/3)

$@$,C1D48:>/!"$+$D@5$G$"$k$3$H$r<($9I,MW$,$"$j$^$9$M!#$G$b!"(J
$@!XL@$i$+!Y!"$G==J,$G$7$g$&$,!#(J

|> $@$3$N<0(J$@$r$^$H$b$K2r$$$F$b$$$$$,!"(Jy = x^(1/3)$@$r9M$($k$H!">e(J
|> $@$NITEy<0$NCf1{$N9`$O$3$N4X?t$N(Jx = m$@$KCV$1$k@\@~(J$@$N79$-$h$j(J
|> $@6O$+$KBg$-$/!"$+$D(Jm$@$,==J,$KBg$-$$0Y$[$\Ey$7$$!#6a;w$N0Y!"(J
|> $@@\@~$KCV$-49$($F>e5-4X?t$r(J$@HyJ,$9$k$H(J

$@:G=i$+$i4X?t(J y = x^(1/3) $@$N@\@~$K;}$A9~$s$@J}$,e:No$+$bCN$l(J
$@$J$$!#(J

|> $@$G$"$j!"5a$a$k>r7o(J$@$r8+$?$7$F$$$k!#$^$?!"(J18^3 + 1$@$NN)J}:,(J
|> $@$r5a$a$k$H(J
|> 18^3+1 = 5833; (5833)^(1/3) = 18.00102875xxx
|> $@$H$J$j!"3N$+$K(Jn = 19$@$,:G>/$HJ,$+$k!#(J

n=18$@$N%A%'%C%/$OITMW$G$9!#C1$KG0$N0Y!#(J
--
Seiji Kaneko  kaneko@icsi.Berkeley.EDU,kaneko@sdl.hitachi.co.jp
..................................... 76270.2466@compuserve.com
From: f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi)
Newsgroups: fj.sci.math
Subject: Measure on "R". (Re: Can anybody solve this question?)
Date: 13 Apr 92 05:33:29 GMT
Distribution: fj
Organization: Osaka Prefectural College of Technology


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  $@!J@-<A#2!K(J  m(F(A))=m(A),
  $@!J@-<A#3!K(J  m(R^n-A)=1-m(A),
  $@!J@-<A#4!K(J  m(A+B)=m(A)+m(B),

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$@$7$g$&!#$=$l$b6=L#?<$$$3$H$G$9!#(J

  $@$H$3$m$G!"&P$r7W;;$9$k;~$K!"%b%s%F%+%k%mJ}$H$$$&$N$,$"$j$^$9$M!"$3$l$H$N(J
$@4X78$O$I$&$J$k$N$G$7$g$&!#$"$l$O>!<j$KC10L@~J,$r$H$k$N$G$9$h$M!#(J


-- 
=================================== $@0f>e9@0l!wBg:eI\N)9b@l(J=====================
                   Phone : (0720) 21-6401 ($@Fb@~(J304)  Fax : (0720) 21-0134
                   E-mail: f51323@sakura.kudpc.kyoto-u.ac.jp
===============================================================================
From: hemmi@nttica.ntt.jp (Hitoshi Hemmi)
Newsgroups: fj.sci.math
Subject: Re: Measure on "R". (Re: Can anybody solve this question?)
Date: 14 Apr 92 04:35:47 GMT
Distribution: fj
Organization: NTT LSI Laboratories, Kanagawa, Japan.
In-reply-to: f51323@sakura.kudpc.kyoto-u.ac.jp's message of 13 Apr 92 05:33:29 GMT

In article <HEMMI.92Apr13181547@nttica.ntt.jp> hemmi@nttica.ntt.jp (Hitoshi Hemmi) writes:

 |$@#M$K;03Q7A$N9gF14X78$K$h$kF1CM4X78!A$rF3F~$7!"#M$N!A$K$h$k>&6u4V(J
 |$@#M!G!a(J $@#M(J$@!?!A(J

 |$@#M!G$,$I$&$$$&9=B$$r$7$F$$$k$+$O!":F$S$5$F$*$-!"(J^_^;
 |$@>>2,$5$s$N2rEz$O#M$KAj;w4X78$K$h$kF1CM(J$@4X78!A!G(J($@$?$@$7!"#3$D$ND:E@$O6h(J
 |$@JL$9$k(J)$@$rF3F~$7$?$H$-!">&6u4V(J
 |$@#M!I(J $@!a(J $@#M!?!A!G(J
 |$@$,@5;03Q7A$HF17?(J$@$G$"$k$3$H$r<($7!"(J

$@$A$g$C$H9M$($l$PJ,$+$kDL$j!"#M!G$N9=B$$O#M!I$K;03Q7A$NBg$-$5$r2CL#$7$?!"(J
$@#M!I!_!J(J$@#0!$!g!K(J
$@$HF17?$G$9!#(J^^;

$@$=$&$9$k$H!"#M!G$KA4BN6u4V$NBN@Q$,M-8B$H$J$k$h$&$KL)EY$rF3F~$9$k$3$H$,(J
$@$G$-(J$@$^$9!#$b$A$m$s!"$3$N>r7o$NHO0OFb$G$b(J($@$?$S$?$S;}$A=P$7$F?=$7Lu$"$j(J
$@$^$;$s$,(J)$@B@ED$5$s$N8@$&DL$j!"1T3Q;0(J$@3Q7A$K$J$k3NN($O$$$+$h$&$K$G$b(J
$@!ID4@0!I2DG=$G$9!#(J

In article <1992Apr13.053329.22866@kudpc.kyoto-u.ac.jp> f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi) writes:

 >  $@==J,B?$/$N2DB,=89g$r;}$C$?$3$N$h(J$@$&$JET9g$N$$$$$b$N$OB8:_$7$J$$$N$+$bCN$l(J
 >$@$^$;$s!#$=$&$J$i$P7k6I(J"R^n"$@$KE@$r>!<j$K$H$k$H$$$&$3$H$K0UL#(J$@$,$J$/$J$k$N$G(J
 >$@$7$g$&!#$=$l$b6=L#?<$$$3$H$G$9!#(J

$@$5$F!"#M!G$N!V2DB,=89g!W$H$=$NB,EY(J($@BN@Q(J)$@$r85$N#R!0(J$@#6$K0z$-La$7$?=89g5Z(J
$@$S!VB,EY!W$O=jK>$N@-<A$rK~$?$7$^$;$s$+!)!J;d$OB,EY$NDj5A$rK:$l$F$7$^$C(J
$@$?!#!K(J
$@$b(J$@$7!"ITET9g$,$"$k$N$J$i$P(J

 >  $@!J2>Dj#2!K(J  $@>e5-$N2>Dj$N$b$H!"5a$a$k3NN($O!"(J"(R^2)^3"$@!JB,EY$b9~$a$F!KFb(J
 >	      $@$N!I1T3Q;03Q7A$rM?$($kNN0h!I$N;}$D3NN(B,EY$K$[$+$J$i$J$$!#(J
 >
 >  $@>e$NFs$D$N2>Dj$rCV$$$F$O$I(J$@$&$G$7$g$&!#$b$A$m$s$3$l$KG<F@$G$-$J$$$H$$$&J}(J

$@$H$$$&!"LdBj@_Dj$,ITE,Ev$N$h$&$J5$$,$7$^$9$,!D(J

$@JU8+!w(J$@#N#T#T(J
From: r2230@L8221C.rtri.or.jp (Shingo 'murgi' Matsumoto)
Newsgroups: fj.sci.math
Subject: Re: A math problem
Date: 9 Apr 92 03:45:37 GMT
Reply-To: r2230@L8221C.rtri.OR.JP (Shingo 'murgi' Matsumoto)
Organization: Railway Technical Research Institute, Tokyo, Japan

$@>>K\!w?t3X2J$/$:$l(J

In article <fuPwV.e9118@etlcom1.etl.go.jp> e9118@etlcom1.etl.go.jp (Harigaya Kikuo) writes:
>$@!VFL#53Q7A$NLL@Q$r#S!$BP3Q@~$G:n$i$l$k>.#53Q7A$NLL@Q$r#S(J'
>  $@$H$9$k$H$-!$#S(J'/$@#S$N:GBgCM$r5a$a$h!%!W(J

$@$&$&$`!"$3$l$O@58^3Q7A$J$i$PM-L>$J2+6bHf(J
(1+5^(1/2))/2 = 1.618...
$@$G$9$h$M!#(J
$@$G!"@58^3Q7A$+$i@~7AJQ49$G$-$k$h$&$J8^3Q7A$J$i$P!"$d$C$Q$j(J1.618...$@$K(J
$@$J$k$N$O$o$+$k!#(J($@LL@Q$NHf$OJQ$o$i$J$$(J)
$@$G$b!"A4$F$N8^3Q7A$O@~7AJQ49$G@58^3Q7A$K$$$+$J$$$s$@$h$M!#(J
$@!JJU$HBP3Q@~$NJ?9T$N4X78$,@~7AJQ49$G$OITJQ!K(J
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>$@;(;o!$?t3X%;%_%J!<!V%(%l%,%s%H$J2rEz$r5a$`!W$K:\$C$?LdBj(J
>$@$@$=$&$G$9$,!$#1%+7n$?$C$?8e$G$b!$@52r$r1~Jg$7$??M$,(J
>$@L$$@$K$J$$$=$&$G$9!%L^O@!$;(;o$NJT=8<T$b@52r$rCN$i$J$$$=$&$J!%(J

$@LdBj$r$@$7$??M$OCN$C$F$k$s$@$m$&$J$"!#(J($@$7$+$b!"!V%(%l%,%s%H!W$J2rEz$r(J^^;)

>$@!t$I$3$+$i!$%M%?$r;EF~$l$?$+!$$b$&$o$+$C$F$7$^$C$F$$$k$+$J!)(J

$@A4A3%o%+%i%s!#(J

   _________________  Shingo Matsumoto                      
 / MLU00X __________  Railway Technical Research Institute  
(___________________  r2230@L8221C.rtri.or.jp
From: takahata@atr-hr.atr.co.jp (Takabatake Kazuya)
Newsgroups: fj.sci.math
Subject: Re: Can anybody solve this question?
Date: 9 Apr 92 05:44:59 GMT
	<1244@titccy.cc.titech.ac.jp>
	<1992Apr8.043446.4361@kudpc.kyoto-u.ac.jp>
Distribution: fj
Organization: ATR Auditory & Visual Perception Res. Labs., Kyoto, JAPAN
In-reply-to: f51323@sakura.kudpc.kyoto-u.ac.jp's message of 8 Apr 92 04:34:46 GMT


$@!!@N$3$N$h$&$JLdBj$rJ9$$$?$3$H$,$"$j$^$9!%(J

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$@!!!!(J $@D>@~!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!$"$l$l!*(J


--
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TEL:07749-5-1443$@D>DL!!(JFAX:07749-5-1408
$@")(J619-02 $@5~ETI\Aj3Z74@:2ZD.8wBf(J2-2
Newsgroups: fj.sci.math
From: kensyu@is.s.u-tokyo.ac.jp (YOSHIDA Kensyu)
Subject: Re: A math problem
Organization: Dept. of Information Science, Univ. of Tokyo, Japan.
Date: Fri, 10 Apr 1992 03:55:49 GMT
X-Bytes: 1084

In article <117@keu02.rtri.or.jp> r2230@L8221C.rtri.or.jp (Shingo 'murgi' Matsumoto) writes:
 >In article <fuPwV.e9118@etlcom1.etl.go.jp> e9118@etlcom1.etl.go.jp (Harigaya Kikuo) writes:
 >>$@!VFL#53Q7A$NLL@Q$r#S!$BP3Q@~$G:n$i$l$k>.#53Q7A$NLL@Q$r(J$@#S(J'
 >>  $@$H$9$k$H$-!$#S(J'/$@#S$N:GBgCM$r5a$a$h!%!W(J

 >$@$H$3$m$G!"$b$H$NFL8^3Q7A$H>.8^3Q7A$N4X78$O$I$&$J$C(J$@$F$k$N$+$J!#(J

$@$=$l$J$j$KJ#;($J<0$K$O$J$C$?$1$I7k9=$-$l$$$K$_$($k!#(J

 >$@LdBj$r$@$7$??M$OCN$C$F$k$s$@$m$&(J$@$J$"!#(J($@$7$+$b!"!V%(%l%,%s%H!W$J2rEz$r(J^^;)

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$@LdBj$r9M(J$@$($?Do$OCN$C$F$k$+$b$7$l$J$$$1$I!"J8L.$+$i(J
$@8+$k$K$=$&$$$&$3$H$b$J$5$=$&!#(J


$@$5$F!":BI87O$r$7$$$F!"6/9T(J$@FMGK(J.... $@$&!"#5JQ?t$N(J
$@%k!<%H$H;03Q4X?t$,$$$j$_$@$l$?:GBg:G>.LdBj$K$J$C$?!#(J
$@$d$C$Q$j!";e8}$bDO$a$J$+$C(J$@$?!#(J

$@!t(J $@$G$b@58^3Q7A$N$H$-$K6KBg$K$J$k$3$H$O$$$($k!J$H;W$&!K!#(J


--
				$@El5~Bg3XM}3XIt>pJs2J3X2J(J $@Gn;N(J$@#1G/(J
					kensyu@is.s.u-tokyo.ac.jp
					$@5HED8&=((J(YOSHIDA kensyu) 7N1UMJ

Newsgroups: fj.sci.math
From: e9118@etlcom1.etl.go.jp (Harigaya Kikuo)
Subject: A math problem
Reply-To: e9118@etlcom1.etl.go.jp (Harigaya Kikuo)
Organization: Electrotechnical Laboratory, Tsukuba Science City
Date: Tue, 7 Apr 1992 13:19:42 GMT

$@!VFL#53Q7A$NLL@Q$r#S!$BP3Q@~$G:n$i$l$k>.#53Q7A$NLL@Q$r#S(J'
  $@$H$9$k$H$-!$#S(J'/$@#S$N:GBgCM$r5a$a$h!%!W(J

$@;(;o!$?t3X%;%_%J!<!V%(%l%,%s%H$J2rEz$r5a$`!W$K:\$C$?LdBj(J
$@$@$=$&$G$9$,!$#1%+7n$?$C$?8e$G$b!$@52r$r1~Jg$7$??M$,(J
$@L$$@$K$J$$$=$&$G$9!%L^O@!$;(;o$NJT=8<T$b@52r$rCN$i$J$$$=$&$J!%(J

$@$_$J$5$s$O$I$&$G$9$+!)(J

$@!t$I$3$+$i!$%M%?$r;EF~$l$?$+!$$b$&$o$+$C$F$7$^$C$F$$$k$+$J!)(J

---------------------------------------------------------------------
$@?KC+4n5WM:!wJ*@-4pAC8&5f<<(J.$@EE;R4pACIt(J.$@EE;R5;=QAm9g8&5f=j(J
e-mail: e9118@etlcom1.etl.go.jp, TEL: 0298-58-5151, FAX: 0298-58-5375
---------------------------------------------------------------------
From: kaneko@icsi.Berkeley.EDU (Seiji Kaneko)
Newsgroups: fj.sci.math
Subject: Re: another math puzzle :-)
Date: 14 Apr 92 18:18:43
Organization: International Computer Science Institute
Distribution: fj
NNTP-Posting-Host: axiom.icsi.berkeley.edu
In-reply-to: tacchan@flab.fujitsu.co.jp's message of 13 Apr 92 02:24:50 GMT

$@$+$M$3!w$R$?$A$G$9!#MpF~!#(J
>>>>> On 13 Apr 92 02:24:50 GMT, tacchan@flab.fujitsu.co.jp (Tatsuo KONDO who is (^.^)) said:
|> $@$d$C$H$3$5%(%l%,%s%H!J$+!)(JB-$@!K$J2rEz$r8+$D$1$?$N$G4r$7$/$J$C$F(J$@%]%9%H$9(J
|> $@$k6aF#!wIY;NDL8&$G$9!#(J
|> $@Ld!'(J
|> m, n $@$O<+A3?t$G!"(J0 < m^(1/3) - n < 10^(-3) $@$rK~$?$9!#(J
|> $@$3$N$h$&$J(J m $@$,B8:_$9$k:G>.$N(J n $@$O$$$/$D$+!#(J
|> $@!JCm!'=PE5$G$O?tCM$N$_$r2rEz$9$l$PNI$$$h$&$G$7$?$,!"(J$@$3$3$G$O2rEz<j=g$b(J
|>       $@Ld$$$^$9(J:-P$@!K(J

n=19$@$G$9$+!)(J $@$J$s$+8m2r$7$F$$$k$N$+!"$=$l$@$H0W$7$9$.$kMM$J(J
$@5$$,$9$k$N$G$9$,!#8^J,$/$i$$$GJ,$+$C$F$7$^$C$?!#0J2<$O!"13(J
$@$+$bCN$l$J$$$N$G!"$=$N$D$b$j$G!#(J

$@!t(J $@2<$N(J$@2sEz$r=q$/J}$,;~4V$,$+$+$C$?!#(J;-p



$@4JC1$N0Y!"(Jy=(m)^(1/3)$@$H$9$k!#(Jy$@$h$jBg$-$$:G>/$N<+A3?t(Jp$@$H!"(Jy
$@$h$j(J$@>.$5$$:GBg$N<+A3?t(Jq$@$r9M$($k!#EvA3$J$,$i!"(Jp = q + 1
p^3$@$b(Jq^3$@$b<+A3?t$G$"$j!"(J

q^3 < m < (q+1)^3

$@$G$"$k(J$@$O$:!#0lJ}!"Bj0U$+$i!"(Jm$@$O<+A3?t$N#3>h$K6a$/6O$+$KBg$-(J
$@$$@0?t$G$"$j!"$3$3$G$O:G>/$N(Jm$@$r$b5a$a$F$$$k$O$:(J$@$G$"$k$+$i!"(J
m = q^3 + 1$@$G$"$k$H$7$F$h$$!#(J

$@!t(J y = x^(1/3)$@$N4X?t$N@-<A$+$i!">e$OL@$i$+!#(J

$@$=$3$G!"(Jm = q^3 +1 $@$H$9$k!#$3$N8+CO$+$i!":G=i$N<0$r=q$-D>$9$H!"(J
q = n $@$G$"$j(J

0 < (m)^(1/3)- (m-1)^(1/3) < 10^(-3)

$@$3$N<0$r$^$H$b$K2r$$$F$b$$$$$,!"(Jy = x^(1/3)$@$r9M$($k$H!">e(J
$@$NITEy<0$NCf1{$N9`$O$3$N4X?t$N(Jx = m$@$KCV(J$@$1$k@\@~$N79$-$h$j(J
$@6O$+$KBg$-$/!"$+$D(Jm$@$,==J,$KBg$-$$0Y$[$\Ey$7$$!#6a;w$N0Y!"(J
$@@\@~$KCV$-49$($F>e5-4X?t(J$@$rHyJ,$9$k$H(J

0 < (1/3) * m^(-2/3) < 10^(-3)

$@$rF@$k!#$3$l$rE83+$9$k$H(J m > 6085.xxx$@$rF@$k!#(J18^3 = 5832,
19^3 = 6859 $@$G$"$k$+$i!"(J6860$@$NN)K!:,$r5a$a$k$H3N$+$K(J

(6860)^(1/3) = 19.00092332xxx

$@$G$"$j!"5a$a$k(J$@>r7o$r8+$?$7$F$$$k!#$^$?!"(J18^3 + 1$@$NN)J}:,(J
$@$r5a$a$k$H(J

18^3+1 = 5833; (5833)^(1/3) = 18.00102875xxx

$@$H$J$j!"3N$+$K(Jn = 19$@$,:G>/$HJ,$+$k!#(J

$@!t(J $@$"$$$@$O$A$g$C$HHtLv$,$"$k$+$bCN$l$J$$!#B>$N?M$,Kd$a$F(J
$@!t(J $@$/(J$@$l$k$G$7$g$&!#(J

$@F1MM$N5DO@$G<B$O(J

0 < | m ^(1/3) - n | < 10^(-3)

$@$rK~$?$9(Jm,n$@$b(Jn=19$@$,:G>/$G$"$k$3$H$,(J$@J,$+$k!#$3$N$H$-$O(Jm=6858

--
Seiji Kaneko  kaneko@icsi.Berkeley.EDU,kaneko@sdl.hitachi.co.jp
..................................... 76270.2466@compuserve.com
From: mohta@necom830.cc.titech.ac.jp (Masataka Ohta)
Newsgroups: fj.sci.math
Subject: Re: Can anybody solve this question?
Date: 7 Apr 92 13:19:19 GMT
Distribution: fj
Organization: Tokyo Institute of Technology

In article <1992Apr7.043047.24931@kudpc.kyoto-u.ac.jp>
	f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi) writes:

>  $@0f>e!wBg:eI\N)9b@l$G$9!#@hF|(J Z $@>e$NB,EY$i$7$-$b$N$rDs0F$7!"H?Nc$r=P$7$F(J
>$@H]Dj$7$^$7$?!#(J

$@!!H>72$G$b5$$K$7$J$$?M$,=89g@Q$GJD$8$F$J$$$H$$$&DxEY$N$3$H5$$K$9$k$H$O;W(J
$@$o$J$+$C$?!#(J

>  $@LdBj!'J?LL$K;03Q7A$r>!<j$K$H$C$?;~!"$=$l$,1T3Q;03Q7A$G$"$k3NN($r5a$a$h!#(J
>
>  $@;d$O$"$kDxEY$N9M;!$r9T$J$C$F$=$l$+$iJ|4~CW$7$^$7$?!#$=$NM}M3$O$$$m$$$m(J
>$@$H$"$k$N$G$9$,!":#$O=q$+$J$$$G$*$-$^$7$g$&!#3'MM$N%"%$%G%"$r$*BT$A$7$F$*(J
>$@$j$^$9!#(J

$@!!!V;03Q7A$r>!<j$K$H$k!W$N0UL#$,Dj5A$5$l$J$$$HEz$($h$&$,!"!"!"(J

$@!!Nc$($P!"C10L1_Fb$+$i0lMMJ,I[$G#3E@$H$C$F;03Q7A$r:n$l$P!"1T3Q;03Q7A$G$"(J
$@$k3NN($O7W;;$G$-$k$7!"1_$NH>7B$r$$$/$i$K$7$h$&$,3NN($OF1$8$J$N$G!"L58B$K(J
$@$7$?6K8B$r9M$($k$3$H$O$G$-$k!#$,!"1_$8$c$J$/$FC10L@5J}7A$r$b$H$K9M$($k$H!"(J
$@F1MM$N9M;!$,$G$-$k$1$IEz$O0c$C$F$7$^$&!#(J

>$@<B$O$3$N$3$H$O$b$&$+$l$3$l#1#5G/$[$I@N9M$($F$$$?$3$H$K4X78(J
>$@$7$F$$$k$h$&$J5$$,$9$k$N$G!"(J

$@!!7k6I!"#0!?#0$G$"$C$F!"(J

	$@J?LL$KE@$r>!<j$K$H$C$?;~!"$=$N#x:BI8$,@5$G$"$k3NN((J

$@$HF1$8$G!"6K8B$N$H$j$+$?$K$h$C$FEz$,$+$o$k$@$1$G$O!)(J

					$@B@ED!!>;9'(J
					mohta@cc.titech.ac.jp
From: f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi)
Newsgroups: fj.sci.math
Subject: Re: Can anybody solve this question?
Date: 8 Apr 92 04:34:46 GMT
Distribution: fj
Organization: Osaka Prefectural College of Technology


  $@0f>e!wBg:eI\N)9b@l$G$9!#$^$5$K(Jmohta$@;a$N8@$&DL$j$J$N$G$9$,!"!"!"(J

In article <1244@titccy.cc.titech.ac.jp> mohta@necom830.cc.titech.ac.jp (Masataka Ohta) writes:
>$@!!H>72$G$b5$$K$7$J$$?M$,=89g@Q$GJD$8$F$J$$$H$$$&DxEY$N$3$H5$$K$9$k$H$O;W(J
>$@$o$J$+$C$?!#(J

  $@=89g@Q$GJD$8$F$J$$$N$O$J$s$@$+$$$d$@$C$?$N$G$9!#$G$b3N$+$K85!9H>72$G$9$7!"(J
$@%G%#%9%8%g%$%s%H%f%K%*%s$*$h$S%3%s%W%j%a%s%H$N$_$K$D$$$FJD$8$F$$$k$@$1$G$h(J
$@$7$H$7$F!"$3$l$r!.%;%_!G%8%g%k%@%sB,EY$HDj5A$7$^$7$g$&!#(J

  $@$?$@:G=i$O2?$H$+%8%g%k%@%sB,EY$rDj5A$G$-$J$$$+$H9M$($F$$$?$N$GA02s$N$h$&(J
$@$J5-;v$r=q$-$^$7$?!#$=$NE@8fM}2r2<$5$$!#(J

>
>>  $@LdBj!'J?LL$K;03Q7A$r>!<j$K$H$C$?;~!"$=$l$,1T3Q;03Q7A$G$"$k3NN($r5a$a$h!#(J
>>
>>  $@;d$O$"$kDxEY$N9M;!$r9T$J$C$F$=$l$+$iJ|4~CW$7$^$7$?!#$=$NM}M3$O$$$m$$$m(J
>>$@$H$"$k$N$G$9$,!":#$O=q$+$J$$$G$*$-$^$7$g$&!#3'MM$N%"%$%G%"$r$*BT$A$7$F$*(J
>>$@$j$^$9!#(J
>
>$@!!!V;03Q7A$r>!<j$K$H$k!W$N0UL#$,Dj5A$5$l$J$$$HEz$($h$&$,!"!"!"(J
>
>$@!!Nc$($P!"C10L1_Fb$+$i0lMMJ,I[$G#3E@$H$C$F;03Q7A$r:n$l$P!"1T3Q;03Q7A$G$"(J
>$@$k3NN($O7W;;$G$-$k$7!"1_$NH>7B$r$$$/$i$K$7$h$&$,3NN($OF1$8$J$N$G!"L58B$K(J
>$@$7$?6K8B$r9M$($k$3$H$O$G$-$k!#$,!"1_$8$c$J$/$FC10L@5J}7A$r$b$H$K9M$($k$H!"(J
>$@F1MM$N9M;!$,$G$-$k$1$IEz$O0c$C$F$7$^$&!#(J
>
>>$@<B$O$3$N$3$H$O$b$&$+$l$3$l#1#5G/$[$I@N9M$($F$$$?$3$H$K4X78(J
>>$@$7$F$$$k$h$&$J5$$,$9$k$N$G!"(J
>
>$@!!7k6I!"#0!?#0$G$"$C$F!"(J
>
>	$@J?LL$KE@$r>!<j$K$H$C$?;~!"$=$N#x:BI8$,@5$G$"$k3NN((J
>
>$@$HF1$8$G!"6K8B$N$H$j$+$?$K$h$C$FEz$,$+$o$k$@$1$G$O!)(J

  $@$U$`$U$`!"(Jmohta$@;a$N0U8+$O;d$,Ev;~9M$($F$$$?$^$5$K$=$NF1$8M}M3$G$9$M!#$7(J
$@$+$7!"2?$H$+!V;03Q7A$r>!<j$K$H$k!W$H8@$&Dj5A$r9M$($i$l$J$$$G$7$g$&$+!#==(J
$@J,@5Ev$JA*$SJ}$O$J$$$G$7$g$&$+!#(Jmohta$@;a$N>e5-$N!VJ?LL$KE@$r>!<j$K$H$C$?;~!"(J
$@$=$N(JX$@:BI8$,@5$G$"$k3NN(!W$r#1!?#2$H$9$k@5Ev$JM}M3$O$J$$$+$H$$$&$3$H$G$9!#(J
$@6K8B$r$H$k$3$H$GEz$,JQ$o$j$^$9$+$i!"6K8B$r$H$i$J$/$F$b$$$$$h$&$J2?$i$+$N(J
$@J}K!$r$I$J$?$+3+H/$7$F$$$?$@$1$J$$$G$7$g$&$+!#$^$?!"AGKQ$K9M$($?$i$3$s$J(J
$@Ez$,!"!"!"$H$$$&$N$,$"$l$P$*J9$-$7$?$$$G$9!#(J

-- 
=================================== $@0f>e9@0l!wBg:eI\N)9b@l(J=====================
                   Phone : (0720) 21-6401 ($@Fb@~(J304)  Fax : (0720) 21-0134
                   E-mail: f51323@sakura.kudpc.kyoto-u.ac.jp
===============================================================================
From: tacchan@flab.fujitsu.co.jp (Tatsuo KONDO who is (^.^))
Newsgroups: fj.sci.math
Subject: another math puzzle :-)
Date: 13 Apr 92 02:24:50 GMT
Distribution: fj
Organization: Fujitsu Laboratories Ltd., Kawasaki, Japan.

$@$d$C$H$3$5%(%l%,%s%H!J$+!)(JB-$@!K$J2rEz$r8+$D$1$?$N$G4r$7$/$J$C$F%]%9%H$9(J
$@$k6aF#!wIY;NDL8&$G$9!#(J

$@Ld(J$@!'(J
m, n $@$O<+A3?t$G!"(J0 < m^(1/3) - n < 10^(-3) $@$rK~$?$9!#(J
$@$3$N$h$&$J(J m $@$,B8:_$9$k:G>.$N(J n $@$O$$$/$D$+!#(J

$@!JCm!'=PE5$G$O?tCM$N$_$r2rEz$9$l$PNI$$$h$&$G$7$?$,!"$3$3$G$O2rEz<j=g$b(J
      $@Ld$$$^$9(J:-P$@!K(J

$@!t(J  $@=PE5(J$@$O!"#29f0LA0$N?t%;%_$N!"?t3X%*%j%s%T%C%/F|K\BeI=A*H4#1<!;n83(J
$@!t(J  $@M=A[LdBj!J$+!)!)(J;-$@!K$G$9!#(J
$@!t(J  $@2rEz<T(J$@BP>]$OCf3X@8$J$$$79b9;@8$G$9!#$^$"!"9b9;$NCN<1$G2r$1$k$H8@$((J
$@!t(J  $@$P2r$1$^$9(J;-)

$@3:Ev9f$r$*;}$A$NJ}$O!"(J$@@53N$J=PE5$r%U%)%m!<$7$F$$$?$@$1$k$H!"$"$j$,$?$$(J
$@$G$9!#(J
-----
	$@6aF#!wIY;NDL8&(J
From: hemmi@nttica.ntt.jp (Hitoshi Hemmi)
Newsgroups: fj.sci.math
Subject: Re: Can anybody solve this question?
Date: 10 Apr 92 02:43:07 GMT
	<1992Apr8.060604.6716@cau1.crc.canon.co.jp>
Distribution: fj
Organization: NTT LSI Laboratories, Kanagawa, Japan.
In-reply-to: lala@cau1.crc.canon.co.jp's message of 8 Apr 92 06:06:04 GMT

In article <1992Apr8.060604.6716@cau1.crc.canon.co.jp> lala@cau1.crc.canon.co.jp (Hiroshi Matsuoka) writes:

 ||  $@LdBj!'J?LL$K;03Q7A$r>!<j$K$H$C$?;~!"$=$l$,(J$@1T3Q;03Q7A$G$"$k3NN($r5a$a$h!#(J
 |
$@!JESCf>JN,!K(J
 |$@Bh#1$N@5;03Q7A$NFbIt$N$I$NE@$K$D$$$F$bF1$8@85/3NN($r(J$@$b$D$N$G!$(J
 |$@LL@Q$NHf$,3NN($H$J$k!#$h$C$F!$#1!?#4(J (q.e.d)

$@$*$_$4$H!*(J $@$G$bLdBj$K$J$k$N$O2?$,F1$8@85/3N(J$@N($K$J$k$N$+$H$$$&$3$H$G$9$M!#(J

In article <1992Apr8.043446.4361@kudpc.kyoto-u.ac.jp> f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi) writes:
 >>In article <1244@titccy.cc.titech.ac.jp> mohta@necom830.cc.titech.ac.jp (Masataka Ohta) writes:
 >>>$@!!!V;03Q7A$r>!<j$K$H$k!W$N0UL#$,Dj5A$5$l$J$$$HEz$($h$&$,(J$@!"!"!"(J
 >>>
 >>>$@!!Nc$($P!"C10L1_Fb$+$i0lMMJ,I[$G#3E@$H$C$F;03Q7A$r:n$l$P!"1T3Q;03Q7A$G$"(J
 >>>$@$k3NN($O(J$@7W;;$G$-$k$7!"1_$NH>7B$r$$$/$i$K$7$h$&$,3NN($OF1$8$J$N$G!"L58B$K(J
 >>>$@$7$?6K8B$r9M$($k$3$H$O$G$-$k!#$,(J$@!"1_$8$c$J$/$FC10L@5J}7A$r$b$H$K9M$($k$H!"(J
 >>>$@F1MM$N9M;!$,$G$-$k$1$IEz$O0c$C$F$7$^$&!#(J

$@>e$K;?@.$G$9(J$@!#(J
$@<!$NLdBj$H2rEz$b9M$($F$_$F2<$5$$!#(J($@B?>/0c$&$+$b$7$l$^$;$s$,!"2?$+$N3N(J
$@N($N652J=q$NKAF,$K:\$C$F$$$?(J$@$H;W$$$^$9!#(J)

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