version 1.25, 2005/07/24 09:02:40 |
version 1.28, 2012/10/12 01:20:29 |
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% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.24 2005/06/23 03:23:26 takayama Exp $ |
% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.27 2012/09/16 01:53:08 takayama Exp $ |
%% hol.sm1, 1998, 11/8, 11/10, 11/14, 11/25, 1999, 5/18, 6/5. 2000, 6/8 |
%% hol.sm1, 1998, 11/8, 11/10, 11/14, 11/25, 1999, 5/18, 6/5. 2000, 6/8 |
%% rank, rrank, characteristic |
%% rank, rrank, characteristic |
%% This file is error clean. |
%% This file is error clean. |
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$Example 7: [ [( (x Dx)^2 + (y Dy)^2 + 1) ( x y Dx Dy -1)] (x,y) $ |
$Example 7: [ [( (x Dx)^2 + (y Dy)^2 + 1) ( x y Dx Dy -1)] (x,y) $ |
$ [ [ (Dx) 1 ] ] ] [(gbCheck) 1] setAttributeList gb getAttributeList ::$ |
$ [ [ (Dx) 1 ] ] ] [(gbCheck) 1] setAttributeList gb getAttributeList ::$ |
( ) |
( ) |
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$Example 8: /gb.options [(StopDegree) 11] def Onverbose $ |
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$ [ [(x^10+y^10-1) (x^5*y^5 -1)] (x,y) $ |
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$ [ [ (x) 1 ] ]] gb pmat ; $ |
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(cf. gb, groebner, groebner_sugar, syz. ) |
(cf. gb, groebner, groebner_sugar, syz. ) |
]] putUsages |
]] putUsages |
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ggall 0 gtmp put |
ggall 0 gtmp put |
}{ } ifelse |
}{ } ifelse |
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gg getRing (oxRingStructure) dc /gb.oxRingStructure set |
gg length 0 eq { % there is no syzygy |
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ggall getRing (oxRingStructure) dc /gb.oxRingStructure set |
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}{ |
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gg getRing (oxRingStructure) dc /gb.oxRingStructure set |
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} ifelse |
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/arg1 [gg dehomogenize ggall] def |
/arg1 [gg dehomogenize ggall] def |
] pop |
] pop |
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(Example 5: [((x1+x2+x3)(x1 x2 + x2 x3 + x1 x3) - t x1 x2 x3 ) ) |
(Example 5: [((x1+x2+x3)(x1 x2 + x2 x3 + x1 x3) - t x1 x2 x3 ) ) |
( (t,x1,x2,x3) -1 -2] annfs :: ) |
( (t,x1,x2,x3) -1 -2] annfs :: ) |
( Note that the example 4 uses huge memory space.) |
( Note that the example 4 uses huge memory space.) |
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( ) |
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(Note: This implementation is stable but obsolete. ) |
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(As to faster implementation, we refer to ann0 and ann of Risa/Asir ) |
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(Visit http://www.math.kobe-u.ac.jp/Asir ) |
]] putUsages |
]] putUsages |
( annfs ) messagen-quiet |
( annfs ) messagen-quiet |
/annfs.verbose fs.verbose def |
/annfs.verbose fs.verbose def |