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How to explain functions' linearity to Mathematica 5 ?

• To: mathgroup at smc.vnet.net
• Subject: [mg51076] How to explain functions' linearity to Mathematica 5 ?
• From: Stepan Yakovenko <stiv at novi.ru>
• Date: Sun, 3 Oct 2004 05:48:01 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hello !

It would be great if someone will help me to find out a solution for a 
small problem.
I have got an abstract function N0[i,j,r], where i and j are integers 
and r is some formulae.
N0 has a feature: N0[i,j,r+s]=N0[i,j,r]+N0[i,j,s] and N0[i,j, a s]=a 
N0[i,j,s]. I have got
a long expression like this: N0[1,2, 
I*N0[4,1,r]+97*N0[4,3,5*N0[2,1,r]]]. I want it to get expanded
like this I*N0[1,2,N0[4,1,r]+5*97*N0[1,2,N0[4,3,N0[2,1,r]]]] with 
Mathematica 5. How can I do it ?

Thanx in advance.