🚀 go-pugleaf

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In article <311EB335.333A@cck.dendai.ac.jp> Katura Miyazaki <miyazaki@cck.dendai.ac.jp> writes:
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>In article <B0512.96Feb9133824@bhind.nibh.go.jp>, 
>b0512@nibh.go.jp (Ryoichi HASHIMOTO) says:
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	...
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>>$B$?!#$[$+$N652J=q$G$b$[$\F1$8$@$H;W$$$^$9!#(J

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=====
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In article <4feh7l$f7@cck11.cck.dendai.ac.jp> miyazaki@cck.dendai.ac.jp (K.Miyazaki) writes:
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>	$B$=$7$F!VBN@Q$rHyJ,$9$l$PCGLL@Q!W!%(J

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>	$B$D$^$j!!(J V(r) = S(x) $B$r(J 0 $B$+$i(J r $B$^$G@QJ,$7$?$b$N!%(J

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In <4fegmj$cgi@ayame.ipc.chiba-u.ac.jp> 93s1018@g.math.s.chiba-u.ac.jp writes:
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=====

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n $B<!855e(J Q $B$O!'(J
  Q  = { X | |X|<=r^2}
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  $B&D(JQ=  { X | |X| = r^2}
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$BBN@QAG$r(J dv$B!"LL@QAG$r(J ds $B$H$9$l$P!"(J
	       /                     /
	V(r) = |  dv          S(r) = |    ds
	       /Q                    /$B&D(JQ
dv $B$OD>8r:BI8$G$O(J dx1dx2...dxn$B!"6K:BI8(J (r, t2,..., tn) $B!J$?$@$7(J t2...tn $B$O(J
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$B$9$k$H(J
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	/            /
	|    W$B!&(JdS = | div W dv
	/$B&D(JQ         /Q
$B$G$9$,!"(JW $B$H$7$F(J (x1 x2 ... xn) $B$r$H$k$H!"(J
$B&D(JQ $B>e$G$NK!@~%Y%/%H%k$O(J
	N = (x1 x2 ... xn)/r
$B:8JU$N@QJ,$O(J
	/           /                            /
	| W$B!&(JN ds = | (x1^2 + ... + xn^2)/r ds = | r ds
	/           /                            /
$B&D(JQ $B>e(J r $B$ODj?t$G$9$+$i!"$3$l$O(J
	  /
	r | ds = r S(r)
	  /
$B0lJ}1&JU$N@QJ,$O!"(JdivW = 1 +...+1 = n $B$G$9$+$i!"(J
	  /
	n | dv = n V(r)
	  /
$B$D$^$j(J r S(r) = n V(r)
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=====
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In <1996Feb9.123629.20299@im.uec.ac.jp> ohnishi@im.uec.ac.jp (OHNISHI Isamu)
writes:
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	/$B&P(J/2
	|     cos^k t dt
	/-$B&P(J/2
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