
     freeware                       xhunga@tiscali.fr
  
     Weighed Euclidean Inner Product, norm, distance on R**n.
        
  a) Verify with numeric applications,

     * Properties of Weighed Euclidean Inner Product on R**n.
     * Properties of distance generated by 
       the Weighed Euclidean Inner Product on R**n.
     * u.v = 1/4 ||u+v||**2  -  1/4 ||u-v||**2. 
 
  b) The coefficients, integers or fractions, are randomly
     selected by the computer.

  c) The size of the vectors, are randomly selected by the 
     computer, but you can selecte  the size  if you want.
   
      I have used gcc.2.9 (Dev-C++ 4), 
                  gcc.3.2 (v2DJGPP Rhide).

        The list of all  the programs : aaprogr.txt

        Save your work in a text file : aaasave.txt
        ShortName  For  The  Matrices : aashtnm.txt

