===================================================================
RCS file: /home/cvs/OpenXM/src/kan96xx/Kan/usage.sm1,v
retrieving revision 1.8
retrieving revision 1.13
diff -u -p -r1.8 -r1.13
--- OpenXM/src/kan96xx/Kan/usage.sm1	2004/09/10 22:21:27	1.8
+++ OpenXM/src/kan96xx/Kan/usage.sm1	2013/08/30 01:00:15	1.13
@@ -1,4 +1,4 @@
-%% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.7 2003/06/26 13:00:11 takayama Exp $
+%% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.12 2005/06/15 02:22:51 takayama Exp $
 %% usage.sm1
 %%  [(key word)
 %%    [(   )
@@ -171,6 +171,17 @@
    (         Dx and Dy are corresponding differential operators to the )
    (         space variables x and y.  Try show_ring to see the commutation)
    (         relations.)
+   (Example: contiguity of 1F1. Eb b = (b-1) Eb)
+   ( [ [(x) (a,b)] ring_of_differential_difference_operators )
+   (  [[(Dx) 1]] weight_vector 0] define_ring )
+   ( [ ( x Dx (x Dx+b-1) -x (x Dx+a) ). )
+   ( ( (x Dx +b-1) - (b-1) Eb ). ] /ff set )
+   ( ff {dehomogenize homogenize} map /ff2 set )
+   ( [ff2] groebner /gg set )
+   ( gg dehomogenize 0 get /gg set )
+   ( gg [(Dx)] eliminatev /gg2 set )
+   ( gg2 pmat )
+
  ]
 ] putUsages
 
@@ -273,6 +284,9 @@ def
 [(join) 
  [(list1 list2 join list3)
   (Ex.  [1 2] [3 [4 (ab)]] join  [1 2 3 [4 (ab)]])
+  (Note: Join should use for arrays. It works for list too,)
+  (      but it does not copy cells. cf. cons)
+  (      So, it might generate looped lists or destroy other lists.)
  ]
 ] putUsages
 
@@ -318,5 +332,14 @@ def
 ]] putUsages
 [(toVectors2)
  [(Remained for the compatibility. cf. toVectors)
+]] putUsages
+
+[(extension-examples)
+ [
+   $putAttributeList$
+   $  [(putAttributeList) [[(x+y-1) (x-y-2)] (x,y)]  $
+   $                      [(needSyz) 1 (sugar) 1]] extension /myarg set $
+   $  [(getAttributeList) myarg] extension :: $
+   $  [(getAttribute) myarg (sugar)] extension :: $
 ]] putUsages