Compute all permutations of a given inequality in terms of coefficients matrix

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Sultan 2018-12-16

编辑： Sultan 2018-12-16

Hello friends,

I have inequality say

, where

denotes the mutual information between

and

. The canonical form of the above inequality can be written in terms of entropies as follows:

So for 4 random variables

, we have (

)- dim (we consider only non-empty set) hyperplane in terms of coefficients as follows:

The inequality has 12 permutations (including itself) as follows:

Manually I have calculated all the above permutations.

For a given inequality, I want to compute all permutations by a program. Please help me.

Thanks in advance.

#MSA

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