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Answer to De Morgan Laws of Boolean algebra (XYZ)' = XYZ Or X Y Z = X Y Z (X Y Z)' = XYZ Or O x y z = X Y. Definition Let X,Y,Z be jointly distributed according to some pmf p(x,y,z) The conditional mutual information between X,Y given Z is I(X;YZ) = − X x,y,z p(x,y,z)log p(x,yz) p(xz)p(yz) (32) = H(XZ)−H(XYZ) = H(XZ)H(YZ)−H(XYZ)−H(Z) The conditional mutual information is a measure of how much uncertainty is shared by X and Y. = Ë Ã 3 e B z Ë Ë Ã 1 D ` d t K ¦ l j ý 1 9 A Á r E Ç Ç 1 X 3 ¶ £ ½ z à l ð ^ ' 3 e 9 V T C  z Ã Ë ¨ 6 E J G D V 5 N 3 7 H ¢ ¯ ¿ l % 1 @ X 3 Ø 7 H Ì H A I % H V T C  z Ã Ë ¨ H K ¦ ´ & ¾ / f X 3.

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