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MathGroup Archive 2005

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Variant of inner Product ...

  • To: mathgroup at smc.vnet.net
  • Subject: [mg56683] Variant of inner Product ...
  • From: Detlef Müller at smc.vnet.net
  • Date: Wed, 4 May 2005 00:32:49 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,

I have the following to do:

Given

In[1]:= A={1,2,3}; B={{a,b},{c,d},{r,s}};

And a Function f, I like to have

Out[2] = {f[1,a],f[1,b]}+{f[2,c],f[2,d]}+{f[3,r],f[3,s]}

The trial

In[8]:=A={1,2,3}; B={{a,b},{c,d,e},{r,s}};
In[9]:= Inner[f,A,B]
Out[9]= f[1,{a,b}]+f[2,{c,d,e}]+f[3,{r,s}]

looks promising,
but if the Lists in B have the same length, "Inner"
makes something different:

In[15]:=
A={1,2,3}; B={{a,b},{c,d},{r,s}}; Inner[f,A,B]

Out[16]= {f[1,a]+f[2,c]+f[3,r],f[1,b]+f[2,d]+f[3,s]}

So for now I have an ugly Table-Construction doing the job,
but I can't imagine there is no elegant and clear solution
for this ... any suggestions?

Greetings,
   Detlef


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