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Article #13760

Re: 2 = sqrt(2) ?

#13760
From: Inoue-Koichi
Date: Thu, 20 Jun 1996 00:00
21 lines
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ใ„ใฎใ†ใˆใงใ™ใ€‚

ๅ›ณๅฝขใฎๆฅต้™ใจใ„ใ†ๆ„ๅ‘ณใ‚’ไธ‹ใฎใ‚ˆใ†ใซๆ‰ใˆใŸใ‚‰๏ผŒ

In article <4q9428$2j1@surf.ip.kyusan-u.ac.jp> umeno@ip.kyusan-u.ac.jp (Takashi Umeno) writes:
   ใงใฏใ€ๆŽฅ็ทšใŒๅผ•ใ‘ใพใ™ใ€‚็›ด็ทš ae ใ‚’ x ่ปธใจใ™ใ‚‹ใจไพ‹ใˆใฐ b ใธใฎ
   ๅ…ฅๅฐ„่ง’ใฏใ€ไธŠใจไธ‹ใจใง๏ผ™๏ผๅบฆ้•ใ„ใพใ™ใ€‚ๅพ“ใฃใฆใ€ๆŽฅ็ทšใฏๅผ•ใ‘ใพใ›ใ‚“ใ€‚
   ใคใพใ‚Šใ€็›ด็ทšใซใฏใชใ‚Šใพใ›ใ‚“ใ€‚

็›ด็ทšใซใชใ‚Šใพใ™ใ‚ˆใ€‚ใ€ŒๆŽฅ็ทšใŒๅผ•ใ‘ใ‚‹ใ€ใจใ„ใ†ๆ€ง่ณช๏ผŒๆ›ฒ็ทšใฎ้•ทใ•๏ผŒใŒใ“ใฎๆฅต้™ใซ
้–ขใ—ใฆใฏไฟใŸใ‚Œใชใ„ใจ่จ€ใ†ใ“ใจใ‚’็คบใ—ใฆใ„ใ‚‹ใซ้ŽใŽใชใ„ไพ‹ใ ใฃใŸใจ่€ƒใˆใŸๆ–นใŒ
ใ‚ˆใ„ใจๆ€ใ„ใพใ™ใ€‚

ใ€Œ็›ดๆ„Ÿ็š„ใชๅ›ณๅฝขใฎๆฅต้™ใ€
A(n)ใจใ„ใ†ๅ›ณๅฝขใŒBใซๅŽๆŸใ™ใ‚‹ใจใฏ๏ผŒf(n):B->A(n):homeoใŒๅญ˜ๅœจใ—๏ผŒ
x=lim f(n)(x) forall x ใจใชใฃใฆใ„ใ‚‹ใ“ใจใ€‚

ใ“ใ‚Œใ˜ใ‚ƒใใคใ™ใŽ๏ผŸใ‚‚ใ†ๅฐ‘ใ—ๅบƒใ„ๅฎš็พฉใซใ—ใฆใ‚‚ใ„ใ„ใ‹ใ‚‚็Ÿฅใ‚Œใชใ„ใ€‚
--
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References: <4q8jk1$sq2@ced20.ced.cas.uec.ac.jp> <4q9428$2j1@surf.ip.kyusan-u.ac.jp>

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From: pc00137@srv.cc.hit-u.ac.jp (Inoue-Koichi)
Subject: Re: 2 = sqrt(2) ?
Date: 1996/06/20
Message-ID: <PC00137.96Jun20112922@srv.cc.hit-u.ac.jp>
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