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Article #13572limsup of set
From: Masaaki Higashiura
Date: Mon, 23 Sep 1996 00:00
Date: Mon, 23 Sep 1996 00:00
28 lines
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1310 bytes
่ฉฆ้จใซๅใใฆ็ขบ็่ซใๅๅผทใใฆใใใจใใใงใใใ
ใกใใฃใจใใใใใใชใใใจใใใใพใใฎใงใ
่ณชๅใใใฆไธใใใ
Ynโงx , nใฏ่ช็ถๆฐ , lim Yn=xใใจใชใไปปๆใฎ
ๆฐๅ๏ฝYn๏ฝใซๅฏพใใฆ๏ผ
โ โ
(-โ,x] = โฉ โช (-โ,Yk] = limsup(-โ,Yn]
n=1 k=n
ใจใใใฎใงใใใๅใฏ
โ
(-โ,x] = โฉ (-โ,Yn]
n=1
ใงใใใใใชๆฐใใใฆใใพใใพใใ
ใใใใ้ๅใฎ limsup,liminf ใฎ็่งฃใใพใ ใใใตใ
ใชใฎใงใใโฆใ
ใฉใชใใใๆ็คบใใ ใใใใใใใใ้กใใใพใใ
(ใพใ ่ฉฆ้จใใใใคใใใใพใใฎใงใใพใ่ณชๅใใใฆ
ใใใใ ใใใใใใพใใ(^^;;;)
--
ๆฑๆตฆใๆญฃๆ(20)ๅญฆ็ใปไบฌ้ฝๅธๅทฆไบฌๅบ
E-mail:c6h2r@mbox.kyoto-inet.or.jp
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,78f0453f92f1ad56 X-Google-Attributes: gidf4956,public From: Masaaki Higashiura <c6h2r@mbox.kyoto-inet.or.jp> Subject: limsup of set Date: 1996/09/23 Message-ID: <324562BE.769B@mbox.kyoto-inet.or.jp> X-Deja-AN: 184786445 x-forwarded: by - (DeleGate/3.0.40) content-type: text/plain; charset=iso-2022-jp organization: kyoto-inet mime-version: 1.0 newsgroups: fj.sci.math x-mailer: Mozilla 2.02 (Win95; I)