Article View: fj.sci.math
Article #14436Re: 4D (Re: 3D rotation group )
From: Mutsumi Komuro
Date: Thu, 11 Jun 1992 03:11
Date: Thu, 11 Jun 1992 03:11
43 lines
2377 bytes
2377 bytes
$B>.<<!wF|N)%=%U%H%&%'%"%(%s%8%K%"%j%s%0$G$9!#(J
In article <2026@rdnew4.roland.co.jp> kusakabe@roland.co.jp (Satoshi
Kusakabe) writes:
> >$B!!;0<!$N2sE>72(J SO(3) $B$NMWAG#M$G(J$B!"(J
> >$B!!$=$N9TNs@.J,$r!!(Jm(i,j) $B$H$7$?$H$-!"(J
> >$B!!!!!!(JMin | m(i,j) | $B!J@.J,$N@dBPCM$N:G>.CM!K(J
> >$B!!$r!!:GBg$K$9$k$N$O2?$G$7$g$&$+!)(J
>
> $B!!;M<!$ND>8r72!!(JO(4)$B!!$NMWAG#M$G!"F1$8LdBj$r9M$($^$9!#(J
> $B!!$:(J$B$P$j!"(J
> {
> { -1/2, 1/2, 1/2, 1/2 },
> { 1/2, -1/2, 1/2, 1/2 },
> { 1/2, 1/2, -1/2, 1/2 },
> { 1/2, 1/2, 1/2, -1/2 }
> }
> $B!!$,!!:GBgCM!!(J1/2 $B$rM?$($^$9!#(J
$B$3$l$O@5$7$$$H(J$B;W$$$^$9!#:#!"(JMin | m(i,j) | >= 1/2
$B$H$J$k$h$&$J(J 4x4 $BD>8r9TNs(J M$B!a(J{m(i,j)}$B$,$"$C$?$H$9$k$H(J
$BG$0U$N(J 1=< i, j <=4 $B$KBP$7$F(J
|m(i,j)| >= 1/2
$B$H$J$j(J
m(i,j)^2 >= 1/4
$B$9$k$H!"(Jj $B$K$D$$$FOB(J$B$r$H$C$F(J
Sum m(i,j)^2 >= 1
1<=j<=4
$B$H$J$j$^$9$,!"(JM $B$OD>8r9TNs$@$C$?$N$G:8JU$O(J 1 $B$G(J$B$J$1$l$P$J$i$:(J
$BEy9f$,@.N)$7$J$1$l$P$J$j$^$;$s!#$7$?$,$C$F!"$9$Y$F$NCJ3,$GEy9f$H$J$j(J
m(i,j) = 1/2 or -1/2
$B$H$J$j$^$9!#(J4$B<!$ND>8r9TNs$G$3$l$rK~$?$9$N$O!"9T!?Ns$NF~$l49$(!"(J
$BId9g$NH?E>$J$I$NA`:n$r=|$/$H!">e(J$B$N9TNs$7$+$J$$$N$OMF0W$K<($;$^$9!#(J
$B!tF10FB??t$+$J!)(J
--
$B")(J231 $B2#IM;TCf6hHx>eD.(J 6-81 Tel 045-681-2111
$BF|N)%=%U%H%&%'%"%(%s%8%K%"%j%s%0!J3t!K8&5fIt8&5f%0%k!<%W(J
$B>.<<(J $BKS(J (mutsumi@ori.hitachi-sk.co.jp)
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<MUTSUMI.GNUS73@ori.hitachi-sk.co.jp>Path:
arc1-ca.pugleaf.net!sparky!uunet!ccut!sh.wide!hskgw.hitachi-sk.co.jp!ori!mutsumiReferences:
<2020@rdnew4.roland.co.jp> <1992Jun6.065509.26291@kudpc.kyoto-u.ac.jp> <TAKAHATA.92Jun8161313@atr-hr.atr-hr.atr.co.jp> <2026@rdnew4.roland.co.jp>Show Full Headers
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,5bed36886e0e2461 X-Google-Attributes: gidf4956,public X-Google-ArrivalTime: 1992-06-10 14:22:22 PST Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!sh.wide!hskgw.hitachi-sk.co.jp!ori!mutsumi From: mutsumi@ori.hitachi-sk.co.jp (Mutsumi Komuro) Newsgroups: fj.sci.math Subject: Re: 4D (Re: 3D rotation group ) Message-ID: <MUTSUMI.GNUS73@ori.hitachi-sk.co.jp> Date: 11 Jun 92 03:11:48 GMT References: <2020@rdnew4.roland.co.jp> <1992Jun6.065509.26291@kudpc.kyoto-u.ac.jp> <TAKAHATA.92Jun8161313@atr-hr.atr-hr.atr.co.jp> <2026@rdnew4.roland.co.jp> Sender: news@ori.hitachi-sk.co.jp Distribution: fj Organization: Hitachi Software Engineering Co.,Ltd., Yokohama, Japan Lines: 43 In-reply-to: kusakabe@roland.co.jp's message of 10 Jun 92 02:56:54 GMT