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Re: Definition of the similarity in a set of integers

• To: mathgroup at smc.vnet.net
• Subject: [mg96425] Re: [mg96380] Definition of the similarity in a set of integers
• From: Curtis Osterhoudt <cfo at lanl.gov>
• Date: Fri, 13 Feb 2009 03:44:18 -0500 (EST)
• Organization: LANL
• References: <200902121140.GAA08584@smc.vnet.net>
• Reply-to: cfo at lanl.gov

Perhaps something like this: 

(* if no very small numbers appear in the sets, and if they're of the same length *)

s1 = {25, 14, 32, 45}; s2 = {26, 12, 31, 48}; 

In[12]:= (N[1]/Length[s1])*Total[s1/s2]

Out[12]= 1.0244907981803144

In[14]:= s3 = {25, 1, 1, 1}; s4 = {1, 1, 25, 1}; 

In[15]:= (N[1]/Length[s3])*Total[s3/s4]

Out[15]= 6.76

   Otherwise, a cross-correlation might have to be done. 

             Hope that helps, 
                        C.O.


On Thursday 12 February 2009 04:40:42 am Ryan Markley wrote:
> Hello I have two sets of integers eg
> 
> S1 = (25,14,32,45) and S2 = (26,12,31,48)
> 
> I want to define an operation similar to the variance that give me how
> similar both sets are, for example in the above example for both sets
> the results I have to get need to be similar because both sets are
> similar.
> 
> The problem with the variance is this
> 
> S1 = (25,1,1,1) and S2 = (1,1,25,1) these two sets have the same
> variance but they are completly different. What mathematical operation
> can I use to do what I am looking for.
> 
> Thanks a lot in advance.
> 
> 



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• References:
  • Definition of the similarity in a set of integers
    • From: Ryan Markley <overgeo@gmail.com>