DiffAlgElement + DiffAlgElement -- addition

Synopsis

Usage:
w + h
Operator: +
Inputs:
- w, an object of class DiffAlgElement, a differential form or vector field
- h, an object of class DiffAlgElement, a differential form or vector field
Outputs:
- an object of class DiffAlgElement, the addition of w and h

Description

i1 : h = radial 2

o1 = x ax  + x ax  + x ax
      0  0    1  1    2  2

o1 : DiffAlgField

i2 : w = random newField(3,2,"a")

         2             2                    2                           2    
o2 = (- x  + 4x x  + 2x  - x x  + 3x x  + 4x  + 2x x  + x x  + 3x x  - x )ax 
         0     0 1     1    0 2     1 2     2     0 3    1 3     2 3    3   0
     ------------------------------------------------------------------------
            2     2                    2                            2      
     + (- 3x  + 3x  + 7x x  + 2x x  - x  - x x  + 8x x  - 4x x  + 5x )ax  +
            0     1     0 2     1 2    2    0 3     1 3     2 3     3   1  
     ------------------------------------------------------------------------
          2             2                     2                    2      
     (- 2x  + 2x x  - 3x  + 3x x  - 6x x  - 5x  - 2x x  + x x  + 6x )ax  +
          0     0 1     1     0 2     1 2     2     1 3    2 3     3   2  
     ------------------------------------------------------------------------
        2                           2                    2
     (7x  - x x  - 2x x  + 7x x  + x  - 3x x  + x x  + 3x )ax
        0    0 1     0 2     1 2    2     0 3    2 3     3   3

o2 : DiffAlgField

i3 : w + h

         2             2                    2                           2  
o3 = (- x  + 4x x  + 2x  - x x  + 3x x  + 4x  + 2x x  + x x  + 3x x  - x  +
         0     0 1     1    0 2     1 2     2     0 3    1 3     2 3    3  
     ------------------------------------------------------------------------
                   2     2                    2                            2
     x )ax  + (- 3x  + 3x  + 7x x  + 2x x  - x  - x x  + 8x x  - 4x x  + 5x 
      0   0        0     1     0 2     1 2    2    0 3     1 3     2 3     3
     ------------------------------------------------------------------------
                     2             2                     2                 
     + x )ax  + (- 2x  + 2x x  - 3x  + 3x x  - 6x x  - 5x  - 2x x  + x x  +
        1   1        0     0 1     1     0 2     1 2     2     1 3    2 3  
     ------------------------------------------------------------------------
       2               2                           2                    2
     6x  + x )ax  + (7x  - x x  - 2x x  + 7x x  + x  - 3x x  + x x  + 3x )ax
       3    2   2      0    0 1     0 2     1 2    2     0 3    2 3     3   3

o3 : DiffAlgField