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calculating with vectors of variable length

• To: mathgroup at smc.vnet.net
• Subject: [mg124585] calculating with vectors of variable length
• From: Benjamin Hell <hell at exoneon.de>
• Date: Wed, 25 Jan 2012 07:08:44 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi,
I'd like to work with vectors of variable length. A short example would 
be this:
a = {a1,...,an}
f[x_]:=a.x
The vector x should be treated as a vector {x1,...,xn} and n should be 
variable and not be specified prior to any calculations.
One possible calculation would be:
D[f,x3]
which should give a3 according to the definition of f above.

How can I implement that in mathematica?

Thanks in advance,
Benjamin

• Follow-Ups:
  • Re: calculating with vectors of variable length
    • From: Ulrich Arndt <ulrich.arndt@data2knowledge.de>