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Diff for /OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave between version 1.16 and 1.17

version 1.16, 2004/03/05 19:05:11 version 1.17, 2004/05/14 01:25:03
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 /*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.15 2004/03/05 15:56:40 ohara Exp $ */  /*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.16 2004/03/05 19:05:11 ohara Exp $ */
   
 /*&C  /*&C
 @c DO NOT EDIT THIS FILE   oxphc.texi  @c DO NOT EDIT THIS FILE   oxphc.texi
Line 1679  F_D(a,b1,b2,...,bn,c;x1,...,xn)
Line 1679  F_D(a,b1,b2,...,bn,c;x1,...,xn)
 where @var{a} =(a,c,b1,...,bn).  where @var{a} =(a,c,b1,...,bn).
 When n=2, the Lauricella function is called the Appell function F_1.  When n=2, the Lauricella function is called the Appell function F_1.
 The parameters a, c, b1, ..., bn may be rational numbers.  The parameters a, c, b1, ..., bn may be rational numbers.
   @item It does not call sm1 function appell1. As a concequence,
   when parameters are rational or symbolic, this function also works
   as well as integral parameters.
 @end itemize  @end itemize
 */  */
   
Line 1706  F_D(a,b1,b2,...,bn,c;x1,...,xn)
Line 1709  F_D(a,b1,b2,...,bn,c;x1,...,xn)
 $B$N$_$?$9HyJ,J}Dx<07O$rLa$9(B. $B$3$3$G(B,  $B$N$_$?$9HyJ,J}Dx<07O$rLa$9(B. $B$3$3$G(B,
 @var{a} =(a,c,b1,...,bn).  @var{a} =(a,c,b1,...,bn).
 $B%Q%i%a!<%?$OM-M}?t$G$b$h$$(B.  $B%Q%i%a!<%?$OM-M}?t$G$b$h$$(B.
   @item sm1 $B$N4X?t(B appell1 $B$r$h$V$o$1$G$J$$$N$G(B, $B%Q%i%a!<%?$,M-M}?t$dJ8;z<0$N>l9g$b(B
   $B@5$7$/F0$/(B.
 @end itemize  @end itemize
 */  */
   
Line 1728  F_D(a,b1,b2,...,bn,c;x1,...,xn)
Line 1733  F_D(a,b1,b2,...,bn,c;x1,...,xn)
  [x1*dx1*dx2,-x1^2*dx1^2,-x2^2*dx1*dx2,-x1*x2^2*dx2^2]]   [x1*dx1*dx2,-x1^2*dx1^2,-x2^2*dx1*dx2,-x1*x2^2*dx2^2]]
   
 [283] sm1.rank(sm1.appell1([1/2,3,5,-1/3]));  [283] sm1.rank(sm1.appell1([1/2,3,5,-1/3]));
 1  3
   
 [285] Mu=2$ Beta = 1/3$  [285] Mu=2$ Beta = 1/3$
 [287] sm1.rank(sm1.appell1([Mu+Beta,Mu+1,Beta,Beta,Beta]));  [287] sm1.rank(sm1.appell1([Mu+Beta,Mu+1,Beta,Beta,Beta]));
Line 1763  F_4(a,b,c1,c2,...,cn;x1,...,xn)
Line 1768  F_4(a,b,c1,c2,...,cn;x1,...,xn)
 where @var{a} =(a,b,c1,...,cn).  where @var{a} =(a,b,c1,...,cn).
 When n=2, the Lauricella function is called the Appell function F_4.  When n=2, the Lauricella function is called the Appell function F_4.
 The parameters a, b, c1, ..., cn may be rational numbers.  The parameters a, b, c1, ..., cn may be rational numbers.
   @item @item It does not call sm1 function appell4. As a concequence,
   when parameters are rational or symbolic, this function also works
   as well as integral parameters.
 @end itemize  @end itemize
 */  */
   
Line 1790  F_C(a,b,c1,c2,...,cn;x1,...,xn)
Line 1798  F_C(a,b,c1,c2,...,cn;x1,...,xn)
 $B$N$_$?$9HyJ,J}Dx<07O$rLa$9(B. $B$3$3$G(B,  $B$N$_$?$9HyJ,J}Dx<07O$rLa$9(B. $B$3$3$G(B,
 @var{a} =(a,b,c1,...,cn).  @var{a} =(a,b,c1,...,cn).
 $B%Q%i%a!<%?$OM-M}?t$G$b$h$$(B.  $B%Q%i%a!<%?$OM-M}?t$G$b$h$$(B.
   @item sm1 $B$N4X?t(B appell1 $B$r$h$V$o$1$G$J$$$N$G(B, $B%Q%i%a!<%?$,M-M}?t$dJ8;z<0$N>l9g$b(B
   $B@5$7$/F0$/(B.
 @end itemize  @end itemize
 */  */
   

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