===================================================================
RCS file: /home/cvs/OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave,v
retrieving revision 1.11
retrieving revision 1.13
diff -u -p -r1.11 -r1.13
--- OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave	2003/07/27 13:18:46	1.11
+++ OpenXM/src/asir-contrib/packages/doc/Attic/sm1.oxweave	2003/07/28 01:36:36	1.13
@@ -1,4 +1,4 @@
-/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.10 2003/05/20 23:25:28 takayama Exp $ */
+/*$OpenXM: OpenXM/src/asir-contrib/packages/doc/sm1.oxweave,v 1.12 2003/07/28 01:17:39 takayama Exp $ */
 
 /*&C-texi
 @c DO NOT EDIT THIS FILE   oxphc.texi
@@ -109,8 +109,6 @@ See the appendix.
 * sm1.rank::
 * sm1.auto_reduce::
 * sm1.slope::
-* sm1.gb_d::
-* sm1.syz_d::
 * sm1.ahg::
 * sm1.bfunction::
 * sm1.generalized_bfunction::
@@ -502,7 +500,6 @@ x*dx+1
 /*&eg-texi
 @c sort-sm1.gb
 @node sm1.gb,,, SM1 Functions
-@node sm1.gb_d,,, SM1 Functions
 @subsection @code{sm1.gb}
 @findex sm1.gb
 @findex sm1.gb_d
@@ -560,7 +557,6 @@ List
 /*&jp-texi
 @c sort-sm1.gb
 @node sm1.gb,,, SM1 Functions
-@node sm1.gb_d,,, SM1 Functions
 @subsection @code{sm1.gb}
 @findex sm1.gb
 @findex sm1.gb_d
@@ -1327,7 +1323,6 @@ basic_plus(basic_times(basic_power(x,4),1),basic_times
 /*&eg-texi
 @c sort-sm1.syz
 @node sm1.syz,,, SM1 Functions
-@node sm1.syz_d,,, SM1 Functions
 @subsection @code{sm1.syz}
 @findex sm1.syz
 @findex sm1.syz_d
@@ -1354,7 +1349,7 @@ Here @var{s} is the syzygy of @var{f} in the ring of d
 operators with the variable @var{v}. 
 @var{g} is a Groebner basis of @var{f} with the weight vector @var{w},
 and @var{m} is a matrix that translates the input matrix @var{f} to the Gr\"obner
-basis @var {g}.
+basis @var{g}.
 @var{t} is the syzygy of the Gr\"obner basis @var{g}.
 In summary, @var{g} = @var{m} @var{f} and
 @var{s} @var{f} = 0 hold as matrices.
@@ -1371,7 +1366,6 @@ In summary, @var{g} = @var{m} @var{f} and
 /*&jp-texi
 @c sort-sm1.syz
 @node sm1.syz,,, SM1 Functions
-@node sm1.syz_d,,, SM1 Functions
 @subsection @code{sm1.syz}
 @findex sm1.syz
 @findex sm1.syz_d