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Diff for /OpenXM/src/kan96xx/Doc/hol.sm1 between version 1.23 and 1.26

version 1.23, 2005/06/16 08:40:04 version 1.26, 2008/01/18 00:48:07
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 % $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.22 2004/09/10 13:20:22 takayama Exp $  % $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.25 2005/07/24 09:02:40 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.
Line 535  message-quiet
Line 535  message-quiet
     %%% Enf of the preprocess      %%% Enf of the preprocess
   
     groebnerOptions gb.options mergeGroebnerOptions /groebnerOptions set      groebnerOptions gb.options mergeGroebnerOptions /groebnerOptions set
     gb.verbose { (groenberOptions = ) messagen groebnerOptions message } { } ifelse      gb.verbose { (groebnerOptions = ) messagen groebnerOptions message } { } ifelse
     termorder {      termorder {
       f { {. dehomogenize} map } map /f set        f { {. dehomogenize} map } map /f set
       [(UseCriterion1) 1] system_variable        [(UseCriterion1) 1] system_variable
       [f groenberOptions] groebner_sugar 0 get /gg set        [f groebnerOptions] groebner_sugar 0 get /gg set
       [(UseCriterion1) 0] system_variable        [(UseCriterion1) 0] system_variable
     }{      }{
       f { {. dehomogenize} map} map /f set        f { {. dehomogenize} map} map /f set
Line 834  message-quiet
Line 834  message-quiet
   $           [ [(x^2+y^2-4). (x y -1).] ] pgb :: $    $           [ [(x^2+y^2-4). (x y -1).] ] pgb :: $
   $Example 2: [ [(x^2+y^2) (x y)]   (x,y)  [ [(x) -1 (y) -1] ] ] pgb :: $    $Example 2: [ [(x^2+y^2) (x y)]   (x,y)  [ [(x) -1 (y) -1] ] ] pgb :: $
   $Example 3: [ [(x^2+y^2 + x y ) (x y)]   (x,y)  [ [(x) -1 (y) -1] ] ]  $    $Example 3: [ [(x^2+y^2 + x y ) (x y)]   (x,y)  [ [(x) -1 (y) -1] ] ]  $
   $           [(reduceOnly)] setAttributeList pgb :: $    $           [(reduceOnly) 1] setAttributeList pgb :: $
   (cf. gb, groebner, groebner_sugar, syz. )    (cf. gb, groebner, groebner_sugar, syz. )
 ]] putUsages  ]] putUsages
   
Line 1064  message-quiet
Line 1064  message-quiet
   (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.)
     (   )
     (Note: This implementation is stable but obsolete. )
     (As to faster implementation, we refer to ann0 and ann of Risa/Asir )
     (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
Line 1566  message-quiet
Line 1570  message-quiet
   $             [ [ (x) -1 (y) -1] ] ] gb_h pmat ; $    $             [ [ (x) -1 (y) -1] ] ] gb_h pmat ; $
   $  This is fine because grade(v_1) = grade(v_2)+1 for all vectors. $    $  This is fine because grade(v_1) = grade(v_2)+1 for all vectors. $
   $Example 5: [ [[(h+x) (x^3 + 2 h^3 + 2 x h^2)] [(x) (x)]] (x)] $    $Example 5: [ [[(h+x) (x^3 + 2 h^3 + 2 x h^2)] [(x) (x)]] (x)] $
   $            [(reduceOnly)] setAttributeList gb_h pmat $    $            [(reduceOnly) 1] setAttributeList gb_h pmat $
   (  )    (  )
   (cf. gb, groebner, syz_h. )    (cf. gb, groebner, syz_h. )
 ]] putUsages  ]] putUsages
Legend:
Removed from v.1.23  
changed lines
  Added in v.1.26
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