MathGroup Archive 1997

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Working with Dot[..] or NonCommutativeMultiply[..]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg6360] Working with Dot[..] or NonCommutativeMultiply[..]
  • From: sergio at scisun.sci.ccny.cuny.edu (Sergio Rojas)
  • Date: Thu, 13 Mar 1997 01:20:21 -0500 (EST)
  • Organization: City College Of New York - Science
  • Sender: owner-wri-mathgroup at wolfram.com


Hello guys,

   Given:

f = a*x1 + b*x2 ;
g = c*y1 ;

  where x1, x2, and y1 have non commutative product. The mathematica
  output for:

Distribute[Dot[f,g,f]] (* Distribute[NonCommutativeMultiply[f,g,f]] *)
			is:

Out[79]= (a x1) . (c y1) . (a x1) + (a x1) . (c y1) . (b x2) + 
 
>    (b x2) . (c y1) . (a x1) + (b x2) . (c y1) . (b x2)

          How, using mathematica, Out[79] can be written in the form:

a^2*c*(x1.y1.x1) + a*b*c*((x1.y1.x2) + (x2.y1.x1)) + b^2*c(x2.y1.x2)


Regards,

Sergio

e-mail: sergio at scisun.sci.ccny.cuny.edu



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