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The symmetry difference of A. BE P(X) is defined by AAB=(AB) U (BA). (a) Prove that VA, B.C = P(X), AABC(AAC)U(CAB). (b) Let (X.
The symmetry difference of A. BE P(X) is defined by AAB=(A\B) U (B\A). (a) Prove that VA, B.C = P(X), AABC(AAC)U(CAB). (b) Let (X. A.) be a measure space. Show that VA.B.CE.A. ( ) < ( C) + (C . ).
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
