Article View: fj.sci.math
Article #14262Re: Quaternion
From: inoue kouichi
Date: Thu, 18 Mar 1993 07:34
Date: Thu, 18 Mar 1993 07:34
57 lines
3383 bytes
3383 bytes
$@0f>e!wBg:eI\N)9b@l$G$9!#!J$7$P$i$/%U%)%m!<$G$-$J$$$H;W$$$^$9!#3'$5$s(J
$@$=$N$&$A$^$?9g$$$^$7$g$&!K(J
In article <HIRO.93Mar17190059@sg340v.yokogawa.co.jp> hiro@oslab.yokogawa.co.jp (Hiroshi Kubo) writes:
> $@J#AG?t$,(J x*x+y*y $@$rJ#AG0x?tJ,2r$G$-$k$N$HF1MM$K(J
> w*w+x*x+y*y+z*z $@$r0x?tJ,2r!J!)!K$G$-$k$s$@$=$&$G$9!#(J
$@$D$^$j!"6&Lr$r&S(J(x+iy+jz+kw)=x-iy-jz-kw$@$H$7$?$H$-!"(J|$@&A(J|^2=$@&A&S(J($@&A(J)$@$G$9!#(J
> $@$5$F!"J#AG?t$,Fs<!85J?LL>e$G$N2sE>$rI=8=$G$-$k$N$O!"<~CN$N;v<B(J
> $@$G$9$,!"$3$N;M85?t$G$O;0<!856u4V$G$N2sE>$r0J2<$N$h$&$KI=8=$G$-(J
> $@$k$N$@$=$&$G$9!#(J
>
> $@;M85?t$r<BIt$H5uIt$K$h$k%Y%/%H%k$G(J Q$@!a(J(R,vI)
> $@"((Jv$@$O%Y%/%H%k$N$D$b$j$G$9!#(JQ$@<+?H$O;M<!85%Y%/%H%k$G$9$M!#(J
> $@$GI=$9$H$7$^$9!#(J
>
> $@2sE><4$KJ?9T$JBg$-$5#1$N%Y%/%H%k$r(JvK$@$H$7!"2sE>3Q$r&B$H$9$k$H!"(J
> $@$3$N2sE>$OBg$-$5#1$N;M85?t(JQ
>
> Q=(cos($@&B(J/2), sin($@&B(J/2)vK) ---------------(1)
>
> $@$K$h$C$FI=$5$l$k!#(J
>
> $@$^$?%Y%/%H%k(JvU$@$N(JQ$@$K$h$k2sE>$O(J Q=(R,vI)$@$N%$%s%P!<%9(JQ$@!G$r(J
> Q$@!G(J= (R,-vI)/(Q$@$NBg$-$5$N#2>h!K$HDj5A$7$?$H$-$K(J
>
> Rot(vU,Q)= Q'*(0,vU)*Q ----------------(2)
>
> $@$r7W;;$7$?;~$N5uIt$K<($5$l$k$H$$$&$3$H$G$9!#(J
>
> $@;d$NJ#AG?t$N@$3&$+$i$L$1$-$i$J$$F,$G$O!"(J
>
> $@$J$<!J#1!K$N$H$3$m$N;03Q4X?t$NCf$N3QEY$O&B=P$J$/&B!?#2$J$N$+!)(J
> $@$J$<!J#2!K$N$H$3$m$G(JvU$@$r;M85?t2=$9$k$H$-<BIt$,#0$J$N$+!)(J
> $@$J$<(J $@1&$+$i(JQ$@$r:nMQ$5$;$k$P$+$j$+!":8$+$i%$%s%P!<%9$^$G:nMQ$5(J
> $@$;$k$N$+!)$,F,$NCf$GM-5!E*$KM}2r$G$-$^$;$s!#$3$&7h$^$C$F$$$k$N$@!#(J
> $@$H$$$&A0Ds$G@h$K$9$9$s$G$b$$$$$N$+$b$7$l$^$;$s$,2?$@$+$7$C$/$j$7(J
> $@$J$$$N$G$o$+$kJ}$,$$$l$P65$($F2<$5$$!#(J
$@$6$C$H8+$?$H$3$m$G$O!"B?J,2?$+(JLie$@72$NK\$r8fMw$K$J$l$P$$$$$H;W$$$^$9!#(J
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$@$&$K7h$a$k$H$&$^$/Dj5A$G$-$k$H$$$&$N$,??Aj$G$7$g$&!#:81&$+$i$O$5$`$N$O!"(J
$@#485?t$,2D49$G$J$$$+$i$G$"$j!"$@$+$i3QEY$,H>J,$@$H$$$&$N$O%9%`!<%:$K$J$C(J
$@$H$/$$$/$H;W$$$^$9!#(J
> $@$^$?!"2?$+NI$$;29MJ88%$r65$($FD:$1$l$P9,$$$G$9!#(J
$@2#ED@h@8$N!V8EE57?C1=c(JLie$@72!W$K$O$3$N<j$N:Y$+$$OC$,$$$m$$$m$H@bL@$5(J
$@$l$F$$$^$9!#F|K\I>O@<R$G$7$?$C$1!#(J
--
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<1993Mar18.073412.18520@kudpc.kyoto-u.ac.jp>Path:
arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!news.u-tokyo.ac.jp!s.u-tokyo!kuis!kudpc!sakura.kudpc.kyoto-u.ac.jp!f51323References:
<HIRO.93Mar17190059@sg340v.yokogawa.co.jp>Show Full Headers
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,8ee1693a23d5f5cd X-Google-Attributes: gidf4956,public X-Google-ArrivalTime: 1993-03-18 01:24:49 PST Newsgroups: fj.sci.math Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-tyo-news!news.u-tokyo.ac.jp!s.u-tokyo!kuis!kudpc!sakura.kudpc.kyoto-u.ac.jp!f51323 From: f51323@sakura.kudpc.kyoto-u.ac.jp (inoue kouichi) Subject: Re: Quaternion Message-ID: <1993Mar18.073412.18520@kudpc.kyoto-u.ac.jp> Sender: news@kudpc.kyoto-u.ac.jp Nntp-Posting-Host: sakura.kudpc.kyoto-u.ac.jp Organization: Osaka Prefectural College of Technology References: <HIRO.93Mar17190059@sg340v.yokogawa.co.jp> Distribution: fj Date: Thu, 18 Mar 1993 07:34:12 GMT Lines: 57