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Re: How to explain functions' linearity to Mathematica 5 ?

• To: mathgroup at smc.vnet.net
• Subject: [mg51087] Re: How to explain functions' linearity to Mathematica 5 ?
• From: pein <petsie at arcor.de>
• Date: Mon, 4 Oct 2004 06:17:53 -0400 (EDT)
• References: <cjojiq$aro$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Stepan Yakovenko schrieb:

> 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.
> 
> 
In[1]:=
N0[i_, j_, x_ + y_] := N0[i, j, x] + N0[i, j, y];
N0[i_, j_, a_*x_] := a N0[i, j, x];

N0[1, 2, I*N0[4, 1, r] + 97*N0[4, 3, 5*N0[2, 1, r]]]
Out[3]=
I*N0[1, 2, N0[4, 1, r]] + 485*N0[1, 2, N0[4, 3, N0[2, 1, r]]]

-- 
Peter Pein, Berlin