version 1.1, 2005/04/13 23:50:17 |
version 1.2, 2008/06/04 01:46:52 |
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/*$OpenXM$ */ |
/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1/sm1.oxw,v 1.1 2005/04/13 23:50:17 takayama Exp $ */ |
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/*&C |
/*&C |
@c DO NOT EDIT THIS FILE |
@c DO NOT EDIT THIS FILE |
Line 102 Grobner Deformations of Hypergeometric Differential Eq |
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Line 102 Grobner Deformations of Hypergeometric Differential Eq |
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* sm1.mul:: |
* sm1.mul:: |
* sm1.distraction:: |
* sm1.distraction:: |
* sm1.gkz:: |
* sm1.gkz:: |
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* sm1.mgkz:: |
* sm1.appell1:: |
* sm1.appell1:: |
* sm1.appell4:: |
* sm1.appell4:: |
* sm1.rank:: |
* sm1.rank:: |
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-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3], |
-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3], |
[x1,x2,x3,x4]] |
[x1,x2,x3,x4]] |
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@end example |
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*/ |
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/*&en |
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@node sm1.mgkz,,, SM1 Functions |
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@subsection @code{sm1.mgkz} |
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@findex sm1.mgkz |
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@table @t |
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@item sm1.mgkz([@var{A},@var{W},@var{B}]|proc=@var{p}) |
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:: Returns the modified GKZ system (A-hypergeometric system) associated to the matrix |
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@var{A} and the weight @var{w} with the parameter vector @var{B}. |
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@end table |
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@table @var |
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@item return |
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List |
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@item p |
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Number |
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@item A, W, B |
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List |
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@end table |
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@itemize @bullet |
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@item Returns the modified GKZ hypergeometric system |
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(A-hypergeometric system) associated to the matrix |
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@item http://arxiv.org/abs/0707.0043 |
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@end itemize |
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*/ |
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/*&ja |
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@node sm1.mgkz,,, SM1 Functions |
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@subsection @code{sm1.mgkz} |
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@findex sm1.mgkz |
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@table @t |
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@item sm1.mgkz([@var{A},@var{W},@var{B}]|proc=@var{p}) |
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:: $B9TNs(B @var{A}, weight @var{W} $B$H%Q%i%a!<%?(B @var{B} $B$KIU?o$7$?(B modified GKZ $B7O(B (A-hypergeometric system) $B$r$b$I$9(B. |
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@end table |
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@table @var |
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@item return |
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$B%j%9%H(B |
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@item p |
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$B?t(B |
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@item A, W, B |
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$B%j%9%H(B |
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@end table |
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@itemize @bullet |
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@item $B9TNs(B @var{A}, weight vector @var{W} $B$H%Q%i%a!<%?(B @var{B} $B$KIU?o$7$?(B modified GKZ $B7O(B (A-hypergeometric system) $B$r$b$I$9(B. |
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@item http://arxiv.org/abs/0707.0043 |
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@end itemize |
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*/ |
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/*&C |
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@example |
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[280] sm1.mgkz([ [[1,2,3]], [1,2,1], [a/2]]); |
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[[6*x3*dx3+4*x2*dx2+2*x1*dx1-a,-x4*dx4+x3*dx3+2*x2*dx2+x1*dx1, |
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-dx2+dx1^2,-x4^2*dx3+dx1*dx2],[x1,x2,x3,x4]] |
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Modified A-hypergeometric system for |
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A=(1,2,3), w=(1,2,1), beta=(a/2). |
@end example |
@end example |
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*/ |
*/ |