Article View: fj.sci.math
Article #66Re: another math puzzle :-)
From: Seiji Kaneko
Date: Tue, 14 Apr 1992 20:40
Date: Tue, 14 Apr 1992 20:40
26 lines
1586 bytes
1586 bytes
$@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
Technical Details
Message-ID:
<KANEKO.92Apr14204037@axiom.icsi.Berkeley>Path:
arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!agate!agate!kanekoReferences:
<TACCHAN.92Apr13112450@topor.soft.flab.fujitsu.co.jp> <KANEKO.92Apr14181843@axiom.icsi.Berkeley>Show Full Headers
Complete Article Headers
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!agate!agate!kaneko 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 Lines: 26 Distribution: fj Message-ID: <KANEKO.92Apr14204037@axiom.icsi.Berkeley> References: <TACCHAN.92Apr13112450@topor.soft.flab.fujitsu.co.jp> <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