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In fact it is easy to see that when a class Cxa CXA is such that Cxa Cxy for some Cxy CXY then P Cxa P Cxy Cxa log logP Cxy Cxa log Thus when CXA is homogeneous with respect to CXY the relative conditional entropy H CXY CXA is zero. When CXY CX t1 t2 t3 t4 t5 t1 t2 A 415 t6 t7 A 517 t9 t10 A 515 t6 t7 t8 A 613 Figure 2 FDs clusterings it means that there exists at least one class Cx in CX whose tuples form more than one class in CXY thus the relation between CX and CY is not a function....
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