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Article View: fj.sci.math
Article #31

4ji-Houtei-Shiki

#31
From: Masaru Shigesada
Date: Wed, 04 Nov 1992 09:20
44 lines
1812 bytes
  $@$O$8$a$^$7$F!"0B@nEE5!$NHKDj$H$$$&$b$N$G$9!#(J
$@$3(J$@$N#N#G$O>l0c$$$+$b$7$l$^$;$s$,$h$m$7$/$*4j$$$7$^$9!#(J

  $@#4<!$NBe?tJ}Dx<0$K4X$9$k<ALd$G$9(J ^o^;$@!#(J
---
	a x^4 + b x^3 + c x^2 + d x + e == 0

$@$r2r$/>l9g!"$^$:(J x = u - b/(4 a) $@$HCV$-49$($F4JLs7A(J

	u^4 + p u^2 + q u + r == 0

$@$KD>$9!#$3$N4JLsJ}Dx<0$N:,$O!"$=$NJ,2rJ}Dx<0(J

	t^3 + 2 p t^2 + (p^2 - 4 r) t - q^2 == 0

$@$N#3:,(J t1, t2, t3 $@$r;H$C$F!"(J

	u1,2 = (  Sqrt[t1] $@!^(J ( Sqrt[t2] + Sqrt[t3] ))/2
	u3,4 = (- Sqrt[t1] $@!^(J ( Sqrt[t2] - Sqrt[t3] ))/2

$@$N$h$&$KI=$9$3$H$,$G$-$k!#(J
---
$@$H!"$3$3$^$G$OD4$Y$k$3$H$,$G$-$?$N(J$@$G$9$,!"$3$NJ}K!$GNc$($P(J

	x^4 + x^3 == 0

$@$r2r$/$H!"(Jx = 1/2, -1/2$@!J#3=E2r!K$K$J$C$F$7$^$$$^$9!#$I$3$+(J$@$G>l9gJ,$1(J
$@$,B-$j$J$$$N$G$7$g$&$+!#$3$l$K$D$$$F$N(J
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$@$J$I!">pJs$r$*BT$A$7$F$$$^$9!#(J
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$@$H$rL\I8(J$@$H$7$F$$$^$9!#(J

$@!tD9!9$H<:Ni$7$^$7$?(J :-)

--
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 $@HKDj(J $@8-(J    shige@tlab.yaskawa.co.jp
 $@0B@nEE5!$D$/$P8&5f=j8&5fBh#4%0%k!<%W(J
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Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!s.u-tokyo!kuis!wnoc-kyo!kyu-cs!ye-gw!tlab.ye!shige

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Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!s.u-tokyo!kuis!wnoc-kyo!kyu-cs!ye-gw!tlab.ye!shige
From: shige@tlab.yaskawa.co.jp (Masaru Shigesada)
Newsgroups: fj.sci.math
Subject: 4ji-Houtei-Shiki
Message-ID: <SHIGE.92Nov4182038@siva.tlab.yaskawa.co.jp>
Date: 4 Nov 92 09:20:38 GMT
Sender: news@moon.tlab.yaskawa.co.jp
Distribution: fj
Organization: Yaskawa Electric Corporation
Lines: 44