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

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Sultan on 16 Dec 2018
Edited: Sultan on 16 Dec 2018
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.


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