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Article #13568

Re: limsup of set

#13568
From: Tsukamoto, Chiaki
Date: Sun, 22 Sep 1996 00:00
29 lines
1509 bytes
$B9)A!Bg$NDMK\$H?=$7$^$9(B.

In article <324562BE.769B@mbox.kyoto-inet.or.jp>
Masaaki Higashiura <c6h2r@mbox.kyoto-inet.or.jp> writes:
> Yn$B!f(Bx , n$B$O<+A3?t(B , lim Yn=x$B!!$H$J$kG$0U$N(B
> $B?tNs!P(BYn$B!Q$KBP$7$F!$(B
>            $B!g(B  $B!g(B
>  (-$B!g(B,x] = $B"A(B  $B"@(B (-$B!g(B,Yk] = limsup(-$B!g(B,Yn]
>            n=1 k=n
> 
> $B$H$"$k$N$G$9$,!"KM$O(B
> 
>            $B!g(B
>  (-$B!g(B,x] = $B"A(B (-$B!g(B,Yn]
>            n=1
> 
> $B$G$$$$$h$&$J5$$,$7$F$7$^$$$^$9!#(B

$B8e<T$G$bF1$8=89g$K$J$j$^$9$,(B, $BA0<T$NI=$o$7J}$O(B
 ($BJq4^4X78$K$D$$$F(B) $BC1D48:>/$J=89gNs$N6&DLItJ,$G$"$k(B
$B$H$$$&FCD'$,$"$j$^$9(B. $BE,MQ$9$kDjM}$K$h$C$F$O$=$l$,(B
$BI,MW$H$J$k>l9g$,$"$k$G$"$m$&$H$$$&$3$H$G$9(B.

# $B9V5AFbMF$NM}2r$K;q$9$k$?$a$N<ALd$O4?7^$G$9$,(B,
# $B;n83$H$+%l%]!<%H$H$+$KD>@\4X78$9$k<ALd$O$*95$(2<$5$$(B.
-- 
$BDMK\@i=)(B@$B1~MQ?t3X(B.$B9bJ,;R3X2J(B.$BA!0]3XIt(B.$B5~ET9)7]A!0]Bg3X(B
Tsukamoto, C. : chiaki@ipc.kit.ac.jp
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Message-ID: <5243kl$fnq@sakura.kudpc.kyoto-u.ac.jp>
Path: arc1-ca.pugleaf.net!unknown!not-for-mail
References: <324562BE.769B@mbox.kyoto-inet.or.jp>

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X-Google-Language: Japanese,JIS
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From: g52997@sakura.kudpc.kyoto-u.ac.jp (Tsukamoto, Chiaki)
Subject: Re: limsup of set
Date: 1996/09/22
Message-ID: <5243kl$fnq@sakura.kudpc.kyoto-u.ac.jp>
X-Deja-AN: 184634354
references: <324562BE.769B@mbox.kyoto-inet.or.jp>
organization: Kyoto Institute of Technology, Kyoto 606, JAPAN
reply-to: chiaki@ipc.kit.ac.jp
newsgroups: fj.sci.math