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Diff for /OpenXM/src/kan96xx/Kan/usage.sm1 between version 1.5 and 1.10

version 1.5, 2002/09/08 10:49:50 version 1.10, 2004/09/16 23:53:44
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 %% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.4 2002/02/09 06:21:02 takayama Exp $  %% $OpenXM: OpenXM/src/kan96xx/Kan/usage.sm1,v 1.9 2004/09/11 01:00:42 takayama Exp $
 %% usage.sm1  %% usage.sm1
 %%  [(key word)  %%  [(key word)
 %%    [(   )  %%    [(   )
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    (   [x,y,Dx,Dy] = [0,0,1,1] )     (   [x,y,Dx,Dy] = [0,0,1,1] )
    (Example: [(x,y) ring_of_differential_operators 0 [(weightedHomogenization) 1]])     (Example: [(x,y) ring_of_differential_operators 0 [(weightedHomogenization) 1]])
    (          define_ring )     (          define_ring )
      (Example: [(x,y) ring_of_differential_operators [[(x) -1 (Dx) 1]] weight_vector)
      (          0 [(degreeShift) [[1 0 1]]] ])
      (          define_ring )
    (Example: [(x,y,z) ring_of_differential_operators (Dx,Dy) elimination_order 0] define_ring)     (Example: [(x,y,z) ring_of_differential_operators (Dx,Dy) elimination_order 0] define_ring)
    (         Dx,Dy, and Dz are corresponding differential operators to the )     (         Dx,Dy, and Dz are corresponding differential operators to the )
    (         space variables x, y and z.)     (         space variables x, y and z.)
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    (    <<ring_of_???>> ring_of_polynomials, ring_of_differential_operators, )     (    <<ring_of_???>> ring_of_polynomials, ring_of_differential_operators, )
    (    ring_of_difference_operators)     (    ring_of_difference_operators)
    (    <<order>> elimination_order, weight_vector)     (    <<order>> elimination_order, weight_vector)
    (    ring_def,ring , << ,, >>)     (    ring_def,ring , << __ >>)
   ]    ]
 ] putUsages  ] putUsages
   
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  [(string . polynomial)   [(string . polynomial)
   (Parse the string as a polynomial in the current ring and put it on the stack)    (Parse the string as a polynomial in the current ring and put it on the stack)
   (Example ( (x+2)^3 ) .)    (Example ( (x+2)^3 ) .)
     ({ commands }.  executes the commands.  << . >> is equivalent to exec.)
  ]   ]
 ] putUsages  ] putUsages
   
Line 270  def
Line 274  def
 [(join)  [(join)
  [(list1 list2 join list3)   [(list1 list2 join list3)
   (Ex.  [1 2] [3 [4 (ab)]] join  [1 2 3 [4 (ab)]])    (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  ] putUsages
   
Legend:
Removed from v.1.5  
changed lines
  Added in v.1.10
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