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Diff for /OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave between version 1.3 and 1.6

version 1.3, 2002/08/11 08:39:47 version 1.6, 2003/07/27 13:18:46
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 @c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.2 2001/12/13 09:27:44 takayama Exp $  @c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.5 2003/02/13 03:25:34 takayama Exp $
   /*&C
 /*&ja  
 @node Plucker relations,,, Top  @node Plucker relations,,, Top
   */
   /*&ja
 @chapter Plucker $B4X78<0(B  @chapter Plucker $B4X78<0(B
   
 */  */
   
 /*&en  /*&en
 @node Plucker relations,,, Top  
 @chapter Plucker Relations  @chapter Plucker Relations
   
 */  */
Line 17 
Line 17 
 * plucker::  * plucker::
 * plucker_y::  * plucker_y::
 * plucker_relation::  * plucker_relation::
   * plucker_index::
 @end menu  @end menu
 */  */
   
Line 40  $$ \sum_{k=0}^{m+1} (-1)^k
Line 41  $$ \sum_{k=0}^{m+1} (-1)^k
   
   
 /*&en  /*&en
   @node plucker,,, Plucker relations
 Not yet written  @subsection plucker
   @findex plucker
   @tex
   Consider $(m+1) \times n$ matrix.
   The subsquare matrix consisting of $i_1, \ldots, i_m, j_k$
   columns is denoted by
   $p_{i_1 \cdots i_m j_k}$.
   The Plucker relation is
   $$ \sum_{k=0}^{m+1} (-1)^k
     p_{i_1 \cdots i_m j_k}
     p_{j_0 \cdots {\hat j}_k \cdots j_{m+1}} = 0.$$
   This package provides functions for Plucker relations.
   @end tex
 */  */
   
 /*&ja  /*&ja
 @node plucker_relation,,, Plucker relation  @node plucker_relation,,, Plucker relations
 @subsection @code{plucker_relation}  @subsection @code{plucker_relation}
 @findex plucker_relation  @findex plucker_relation
 @table @t  @table @t
Line 62  quote
Line 74  quote
 $B%j%9%H(B  $B%j%9%H(B
 @end table  @end table
 @itemize @bullet  @itemize @bullet
 @item  @var{L} $B$K$O(B, Plucker $B4X78<0$N(B @tex $i_1, \ldots, i_m$ @end tex  @item  @var{L} $B$K$O(B, Plucker $B4X78<0$N(B
   @tex
   $i_1, \ldots, i_m$
   @end tex
 $B$r(B,  $B$r(B,
 @var{M} $B$K$O(B, Plucker $B4X78<0$N(B @tex $j_0, \ldots, j_{m+1}$ @end tex  @var{M} $B$K$O(B, Plucker $B4X78<0$N(B
   @tex
   $j_0, \ldots, j_{m+1}$
   @end tex
 $B$rM?$($k(B.  $B$rM?$($k(B.
 @end itemize  @end itemize
 @example  @example
Line 78  y_4_5_6*y_1_2_3-y_3_5_6*y_1_2_4+y_3_4_6*y_1_2_5-y_3_4_
Line 96  y_4_5_6*y_1_2_3-y_3_5_6*y_1_2_4+y_3_4_6*y_1_2_5-y_3_4_
   
 /*&en  /*&en
   
 @node plucker_relation,,, Plucker relation  @node plucker_relation,,, Plucker relations
 @subsection @code{plucker_relation}  @subsection @code{plucker_relation}
 @findex plucker_relation  @findex plucker_relation
 @table @t  @table @t
Line 95  List
Line 113  List
 List  List
 @end table  @end table
 @itemize @bullet  @itemize @bullet
 @item  @var{L} is the index set @tex $i_1, \ldots, i_m$ @end tex  @item  @var{L} is the index set
   @tex
   $i_1, \ldots, i_m$
   @end tex
 of the plucker relations and  of the plucker relations and
 @var{M} is the index set @tex $j_0, \ldots, j_{m+1}$ @end tex  @var{M} is the index set
   @tex
   $j_0, \ldots, j_{m+1}$
   @end tex
 of the plucker relations.  of the plucker relations.
 @end itemize  @end itemize
 @example  @example
Line 111  y_4_5_6*y_1_2_3-y_3_5_6*y_1_2_4+y_3_4_6*y_1_2_5-y_3_4_
Line 135  y_4_5_6*y_1_2_3-y_3_5_6*y_1_2_4+y_3_4_6*y_1_2_5-y_3_4_
 */  */
   
 /*&ja  /*&ja
 @node plucker_y,,, Plucker relation  @node plucker_y,,, Plucker relations
 @subsection @code{plucker_y}  @subsection @code{plucker_y}
 @findex plucker_y  @findex plucker_y
 @table @t  @table @t
Line 140  y_1_2_3
Line 164  y_1_2_3
   
 /*&en  /*&en
   
 @node plucker_y,,, Plucker relation  @node plucker_y,,, Plucker relations
 @subsection @code{plucker_y}  @subsection @code{plucker_y}
 @findex plucker_y  @findex plucker_y
 @table @t  @table @t
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