| Mike Piff - Computers - 1991 - 317 pages
...regions, representing the eight possible Fig. 3.2 Venn diagram for three sets A' n B' D C' A n B n C' **A' n B n C < A n B' nc \ A' n B** n C AnBnC A'nB'nc terms in a normal form, as in Figure 3.2. If we examined the region representing... | |
| J. Tinsley Oden, Leszek Demkowicz - Mathematics - 1996 - 672 pages
...follows: Idempotent Laws A\JA = A; AnA = A Commutative Laws A\JB = BUA; AnB = BnA Associative Laws **AU (BUC) = (AUB) UC A n (B n C) = (A n B) nc** Distributive Laws AU (B n C) = (AUB) n (AUC) Identity Laws A\J<p=A; Complement Laws AUA' = U; A n A'... | |
| Vladimir A. Zorich - Mathematics - 2004 - 574 pages
...probability theory, and number theory. 2. Prove the following statements. a) AU (BUC) = (AUB) UC =: AUBUC; b) **A n (B n C) = (A n B) nc =: A n B** n C; c) A n (BUC) = (A n B) U (A n C); d) AU (B n C) = (AUB) n (AUC). 3. Verify the connection (duality)... | |
| Zhong Li - Computers - 2006 - 300 pages
...law: A\JA = A,AdA = A; (2.10) Commutativity law: A(JB = B(JA,Ar\B = Br\ A; (2.11) Associativity law: **AU (BUC) = (AUB) UC, A n (B n C) = (A n B)** n C; Distributivity law: A u (5 n C) = (A u B) n (^ u C), A n (B u C) = (A n B) u (A n C); The law... | |
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