=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave,v retrieving revision 1.3 retrieving revision 1.5 diff -u -p -r1.3 -r1.5 --- OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave 2002/08/11 08:39:47 1.3 +++ OpenXM/src/asir-contrib/packages/doc/Attic/plucker.oxweave 2003/02/13 03:25:34 1.5 @@ -1,13 +1,13 @@ -@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.2 2001/12/13 09:27:44 takayama Exp $ - -/*&ja +@c $OpenXM: OpenXM/src/asir-contrib/packages/doc/plucker.oxweave,v 1.4 2002/08/23 08:16:13 takayama Exp $ +/*&C @node Plucker relations,,, Top +*/ +/*&ja @chapter Plucker 関係式 */ /*&en -@node Plucker relations,,, Top @chapter Plucker Relations */ @@ -40,13 +40,24 @@ $$ \sum_{k=0}^{m+1} (-1)^k /*&en - -Not yet written - +@node plucker,,, Plucker relations +@subsection plucker +@findex plucker +@tex +Consider $(m+1) \times n$ matrix. +The subsquare matrix consisting of $i_1, \ldots, i_m, j_k$ +columns is denoted by +$p_{i_1 \cdots i_m j_k}$. +The Plucker relation is +$$ \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 @@ -78,7 +89,7 @@ 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 -@node plucker_relation,,, Plucker relation +@node plucker_relation,,, Plucker relations @subsection @code{plucker_relation} @findex plucker_relation @table @t @@ -111,7 +122,7 @@ 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 -@node plucker_y,,, Plucker relation +@node plucker_y,,, Plucker relations @subsection @code{plucker_y} @findex plucker_y @table @t @@ -140,7 +151,7 @@ y_1_2_3 /*&en -@node plucker_y,,, Plucker relation +@node plucker_y,,, Plucker relations @subsection @code{plucker_y} @findex plucker_y @table @t