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HELP FOR: autoAlias
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CALLING SEQUENCE: autoAlias ( function ):

      PARAMETERS: function - A function which contain functions whose
                               derivatives are to be aliased.

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SYNOPSIS:

- Automatically creates aliases for derivatives in functions as per

                        d
                        -- u(r)  --->  u
                        dr              r

  in order to simplify the appearance of output.

- This function can be used in conjunction with gralter() to alias the
  derivatives of functions contained in each component of a tensor.

- The function makes use of the fact that arguments in square brackets
  are represented as subscripts in windows versions of MapleV. Thus, it
  will not help readability in terminal based MapleV.

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EXAMPLES:

> f(r) := diff ( g(r), r )/r;
                                     d
                                   ---- g(r)
                                    dr
                           f(r) := ---------
                                       r

> autoAlias ( f(r) ):
                                 g[r]
                                 ----
                                   r
> #(Note that square bracketed indices appear as subscripts in
> #   Windows-type displays.)


> readlib ( grii ):
> qload ( bondi ):
                           Default spacetime = bondi
 
                            For the bondi spacetime:
 
                                  Coordinates
 
                             a
                           x   = [ r, v, theta, phi ]
 
                                  Line element
 
    2                                  2 /      m(r, v)\     2     2         2
  ds  = 2 c(r, v)  d r  d  v  - c(r, v)  |1 - 2 -------|  d v   + r   d theta
                                         \         r   /
 
         2           2       2
      + r  sin(theta)   d phi
 
               Spherically Symmetric Metric in Bondi Coordinates
 

> grcalc ( R(dn,dn) ):
> gralter ( R(dn,dn), autoAlias ):
> grdisplay ( _ ):
                            For the bondi spacetime:
 
                                Covariant Ricci
 
                                             c[r]
                            R [r] [r] = 2 ---------
                                          c(r, v) r
 
                              - 2 c(r, v) m[r] + c[r] r - 2 c[r] m(r, v)
        R [theta] [theta] = - ------------------------------------------
                                                c(r, v)
 
   etc...

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SEE ALSO:  gralter, grmap, diffAlias, grDalias.
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