离散数学-集合运算基本法则 1. 交换律: A ∪ B = B∪A, A ∩ B = B ∩ A 2. 结合律: A ∪ B) ∪ C = A ∪ B∪C) = A ∪ B∪C A ∩ B) ∩ C = A ∩ B ∩ C) = A ∩ B ∩ C 3. 分配律: A ∩ B) ∪C = A∪C) ∩ B∪C) A∪B) ∩ C = A ∩ C) ∪B ∩ C) 4. 德摩根律: A ∩ B)’ = A’ ∪ B’ A ∪ B)’ = A’ ∩ B’ (绝对形式) A – B ∩ C) = A – B) ∪ A – C) A – B ∪ C) = A – B) ∩ A – C) 相对形式) 6. 吸收律: A ∩ B) ∪ A = A A ∪ B) ∩ A = A 7. 零律: A ∪ E = E , A ∩ E = A 8. 同一律: A ∪ Ø = A,A ∩ E= A , A ∪ E = E , A ∩ Ø = Ø 9. 矛盾律: A ∩ A’ = Ø 10.排中律: A ∪ A’ = E 11.余补律: Ø’ = E , E’ = Ø 12.双重否定律: A’)’ = A 13.补交转换律: A – B = A ∩ B’ 文式图表示: Published by 风君子 独自遨游何稽首 揭天掀地慰生平 View all posts by 风君子