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第五章(更改&ium

第五章(更改&ium

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1 ª*… « ³0 §5.1 e §5.2 aB §5.3 5 §5.4 e §5.5 e * §5.6 è í ½ª* §5.7
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2 §5.1 H˜íºª* 3 : X²¾¶ª*
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3 €{½ª* ЩF ( 5 ) 5 5 ” “ ¨ “ ”F ¸±¾¶ª* íºª* · ª* : N ¾¶ª* ( 5 0) 5 R ¾¶ª* Q – íºª* I (Z) * , ±¾¶ * 1875
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4 a 5 A a A 5 : a 5 A 5 b 5 A b A 5 : b 5 A 5 ¾¶ª* : 5 1 5 5 2 5 (3) * ·ª* { } ¸™ ª 躾¶ª* ¸ ؘY½ª*… ³0
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5 2 : A = {a, e, i, o, u} 5 : 4 B *3< . S = { x | P(x) } 5 : S 1 = {x | x f } S 2 = { x | x=2k+1 5 k N } = { x | x f } S 3 = { x | x = an, n N } { D3B 4 6 S = {a 0 , a 1 , a 2 , …, a n ,…} 5 n
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6 2 : A = { x | x * } α · x: x A x * 5 , * 5.1( 5 ): * P * 5 A , A P { : A = { x | P(x) } x ( P(x) x A )
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7 : ( 1) 5 P(x) │ 5 A = { x | p(x) }, p(x) 5 x 4 * < ” •Y A ² * (2) 5 P(x) 5 x x J 5 T = { x | x x }, f * : 2200 x: x T x x T 5 x 5 T T T T !
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8 1) 5 S 0 A 5 2) 5 ø¼=´ª* A ˜„Y½ A ¼=´ª 3) 5 A T „Y½ª* ЩF 1) 5 2) ø¼=´ ø¼=´ S A 5 1) 5 2) 5 A S ø¼=´ª S A 5 1) 5 2) 5 S = A 5 * y A 5 1) 5 2) y ´*
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9 §5.2 ˆº¾¶ª* = º¾¶ª 5 º¾¶ª = 5 5 0 ˆº¾¶ª* ˆº¾¶ª h + ˆº¾¶ª ˆº¾¶ª*
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10 ¾ ª* 5.2 ( 5 ) {* 5 A, B 5 {* A 5 B A 5 B 5 , 5 A=B A = B 2200 x ( x A x B ) 5 A = B 2200 x (x A x B) 2200 x (x B x A)
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11 2 2 2. { x | x²-1 = 0 } = { -1 5 1 } 3. {1 5 2 5 3 } = { 3 5 1 5 2 } —— ؆ ½ *3 < 1. {a, b, a} = {a, a, b, b, a} = {a, b} —— ؆ ½ *3 < {a, a, b, b, a} , 5 bag 1. { x | x ≤4 5 x } = {1,2,3,4} = {x | x<6 5 x 5 12}
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12 A, B, C 5 1. A = A 2. A = B B = A 3. A = B B = C A = C * – { * 4 J 5 {Ø 5 1 5 2 5 3 5 {1 5 2} }
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13 5.3( ª ) 5 5 A 8 5 B ª* A 5 B A 5 B 5 B 5 A ª* A B 5 B A A B 2200 x ( x A x B ) 5 5.3 8 •çμ * A A A 5.4 f 5 A, B f * A B 5 A≠B 5 A 5 B f * A 5 5 B 5 B 5 A f ç A B 5 B A
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14 A B A B A≠B 2200 x (x A x B) 5 x (x B x A) 5 A B A B A≠B ⇔2200 x(x A x B) ¬ ( 2200 x((x A x B) (x B x A)) ⇔2200 x(x A x B) ( ¬2200 x(x A x B) ∨¬2200 x(x B x A)) ⇔2200 x(x A x B) ∧¬2200 x(x B x A) ⇔2200 x(x A x B) ∧5 x ¬ (x B x A) ⇔2200 x(x A x B) ∧5 x(x B x A)
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15 2 A B 5 B C 5 A C 5 ( 5 A C 5 ) B ·ª* 5 A = {1}, B = {{1}, 2}, C = { {{1},2}, 3} , 5 A C 5 A={1}, B={{1}}, C={{{1}}, {1}} 5 , 5 A C 5 5 c õ X6õμª A 5 a 5 A 5 5 A 5 B 5 A 5 5 4 {{1 5 3} 5 4} 5 {1 5 3} {{1 5 3} 5 4} 5 {4} {{1 5 3} 5 4} {{1 5 3} 5 4 5 5 5 7}
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16 2 5.1 5 5 A, B * A = B A B B A A=B ⇔2200 x(x A x B) ( * ⇔2200 x(x A x B) ∧2200 x (x B x A) A B B A * * A A A 5.2 5 5 A 5 B 5 C * A B 5 B C 5 5 A C ç x, x A x B (A B) x C (B C 5 A C ( 5 P Q 5 P 5 Q 5 )
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17 2 5.5 5 U 5 *= J U U 5 5 U U = { x|p(x) ∨¬ p(x) } U ¨ B U 5.6 °Ø+ ·ª* Ð =J , : = { x | p(x) ¬ p(x) } 5.3 5 5 A 5 A 5 5 A 2200 x (x x A), x 5 , 5 5 x (x x A) , A
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18 2 5.4 5 * –B 5 1 5 5 2 5 1 2 5 2 1 μ 5.1 5 5 1 = 2 H˜íºª* H ì ª* { a }, { } n 9 n 5 H˜íºª * ª* H˜íºª * ª* N, R
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19 §5.3 Ø— çμ ª Ø—çμª* Ø—çμª*
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20 2 A = {a, b, c} A 5 0 – ¾ 5 A 5 1 – {a}, {b}, {c} A 5 2 – {a, b}, {a, c}, {b, c} A 5
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