===================================================================
RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave,v
retrieving revision 1.2
retrieving revision 1.6
diff -u -p -r1.2 -r1.6
--- OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave	2001/12/13 09:27:44	1.2
+++ OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave	2003/07/27 13:18:46	1.6
@@ -1,13 +1,13 @@
-@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.1 2001/12/02 07:43:04 takayama Exp $
-
-/*&ja
+@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.5 2003/02/13 03:25:34 takayama Exp $
+/*&C
 @node Plucker relations,,, Top
+*/
+/*&ja
 @chapter Plucker 関係式 
 
 */
 
 /*&en
-@node Plucker relations,,, Top
 @chapter Plucker Relations 
 
 */
@@ -17,6 +17,7 @@
 * plucker::
 * plucker_y::
 * plucker_relation::
+* plucker_index::
 @end menu
 */
 
@@ -40,13 +41,24 @@ $$ \sum_{k=0}^{m+1} (-1)^k
 
 
 /*&en
-
-Not yet written
-
+@node plucker,,, Plucker relations 
+@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
-@node plucker_relation,,, Plucker relation
+@node plucker_relation,,, Plucker relations
 @subsection @code{plucker_relation}
 @findex plucker_relation
 @table @t
@@ -62,9 +74,15 @@ quote
 リスト
 @end table
 @itemize @bullet
-@item  @var{L} には, Plucker 関係式の @tex $i_1, \ldots, i_m$ @end tex
+@item  @var{L} には, Plucker 関係式の 
+@tex 
+$i_1, \ldots, i_m$ 
+@end tex
 を, 
-@var{M} には, Plucker 関係式の @tex $j_0, \ldots, j_{m+1}$ @end tex
+@var{M} には, Plucker 関係式の 
+@tex 
+$j_0, \ldots, j_{m+1}$ 
+@end tex
 を与える.
 @end itemize
 @example
@@ -78,12 +96,46 @@ 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
 
-Not yet written.
+@node plucker_relation,,, Plucker relations
+@subsection @code{plucker_relation}
+@findex plucker_relation
+@table @t
+@item plucker_relation(@var{L},@var{M})
+::  Returns the plucker relation defined by the index sets @var{L} 
+    and @var{M}.
+@end table
+@table @var
+@item return
+quote
+@item L
+List
+@item M
+List
+@end table
+@itemize @bullet
+@item  @var{L} is the index set 
+@tex 
+$i_1, \ldots, i_m$ 
+@end tex
+of the plucker relations and 
+@var{M} is the index set 
+@tex 
+$j_0, \ldots, j_{m+1}$ 
+@end tex
+of the plucker relations.
+@end itemize
+@example
+[297] A = plucker_relation([1,2],[3,4,5,6]);
+quote(y_1_2_3*y_4_5_6-y_1_2_4*y_3_5_6+y_1_2_5*y_3_4_6-y_1_2_6*y_3_4_5)
+[298] eval_str(print_terminal_form(A));
+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_5*y_1_2_6
 
+@end example
+
 */
 
 /*&ja
-@node plucker_y,,, Plucker relation
+@node plucker_y,,, Plucker relations
 @subsection @code{plucker_y}
 @findex plucker_y
 @table @t
@@ -112,7 +164,42 @@ y_1_2_3
 
 /*&en
 
-Not yet written
+@node plucker_y,,, Plucker relations
+@subsection @code{plucker_y}
+@findex plucker_y
+@table @t
+@item plucker_y(@var{L})
+::  Returns the variable standing for the index  @var{L}.
+@end table
+@table @var
+@item return
+Variable
+@item L
+List
+@end table
+@itemize @bullet
+@item  Index set @var{L} is sorted and the sign is evaluated
+by the sorting.
+@end itemize
+@example
+[297] plucker_y([1,2,3]);
+y_1_2_3
 
+[298] plucker_y([2,1,3]);
+-y_1_2_3
+
+@end example
+
 */
 
+/*&ja
+
+@include plucker-auto-ja.texi
+
+*/
+
+/*&en
+
+@include plucker-auto-en.texi
+
+*/