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1 2 : 1 :

2

3 A 57 B 58 C 59 C C C C C C

4 D 67 D D D D

5 Chapter5 : TEX O 4

6 40 29R : IT HP

7

8 2 2.1 ( ) 1 53 ( 1 ) ( ) ,J,Q,K,A J Q K A 1 Appendix D 1 3 7

9 : J Q K A A 8

10 ( ) A K 8 ( ) 1 ( ) 2 A A 4 2 Q K 9

11 Q 9 A Q K K A K A Q 2 ( A ) ( ) ( ) A Jok 3 ( ) 2 4 ( 1 ) A( Q Q Q K K ) ( 2 3 ) ( A) J J ( 2 3 ) A ( ) A( ) K( ) 10

12 A A A A Q Jok Jok Jok Jok J J J J 2 J J J J K A A A ( ) : ( ) 2 2 A A ( 2.3 ) 1. 7 K K 2. A A Q Jok Jok J, J J, J 2 A A, A K, K K, K ( ) 2, 2 2, : ( ) No trump J J 11

13 ( ) A A A A Q Jok Jok Jok Jok K A A A ( ) : ( ) 4 A ( )

14 2.3.6 ( ) 3 ( ) A B C D 4 A A B C D A: 10 A K Q 4 A J 3 2 A Q 4 B: 6 J 6 5 K Q 6 K J C: A K Jok D: Q J A B 16 D C A D 14 C B D A 15( ) D 15 A 15 D ( A) ( J)

15 ( Q) A A 10 Q A( ) B C( ) D 1 A A D 3 Q 6 Jok 3 A 4 A A 5 4 J 2 Q B C A 8 A K 7 7 A 9 J Q 5 7 A 10 K A J A 9 C 12 8 K K J C 2.5: 1 A 9 B 2 C 6 D 1 A+C =15 (1 ) 2 ( K) A J B ( J) 2( 2) 3 D ( 3) 4 ( 2 ) 5 2 C 5 D B 7 12 C A: K Q J A 6 2 Q 2 B: 2 Q Q J C: 3 K J 7 A K 7 D: A K 4 J 10 6 Jok 17 14

16 A 16 J 18 C 16 A 6 8 A A( ) B C D( ) 1 A A B 3 Q A 4 7 Q J 8 D 5 K 2 K 10 A 6 4 Q 10 A D 7 A 5 K 9 D A 4 A 9 Q J 9 K A J D Jok A 12 J D 2.6: A 9 D 11 ( B C 0 ) A+D= A J 15

17 3 3.1 (6 4 8 ) ( 2 2 ) ( ) ,J,Q,K,A

18 : (2.3.1 Appendix D ) ( 3.2 ) :

19 2 A 1 A 1 1 A : 5 (2.3.3 )

20 ( ) ( A) ( Q) ( K) K 3 ( A) A 2 1 ( A) ( Q)

21 A (A 14 ) ( Q ) A 7 2 A J Q K A A A K A ( ) A 2 2 A 2 ( Q) ( K) ( A) A(1 2 ) A A? A 10 2 A ??

22 A A Q Q (2 Jok Jok ) 3 J J J J A?? 2 2 Q 6 J J A A 2(1 ) 8 A A 9 J?? 10 J?? 11 K K ( ) , A?? 17 K?? , Q?? 19 K K 20 Q Q 21 J J , 10?? ( ) 30 2?? ( ) , A?? 35 K?? , Q?? ( ) 46 2?? 2 47???? 3.4: ( 2 ) 11 A

23 J J 3 J J 1 5 (1 2 1 ) ( ) 2 15 ( ) : % Appendix D 22

24 ( ) ( ) ( ) ( ) K A 2 K 2 A 2 K 2 K 2 K 2 K 2 K 2 23

25 6 J J J J J A 1 A A A A A B C D A B C D E F 6 Brg Jok A: K J J A Q 3 B: K Q J K Q Jok C: A J A A Q Q D: A K 10 5 A K 8 3 K 9 3 Brg Brg E: 9 Q J A J Jok F: Q Q J K 9 K J

26 A 28 ( A) 18 9, A, 6, 3, 6, 6 7, 4, 3, Q, 6, A( ) B C( ) D( ) E F 1 A A 2, A 4,5 J J 6 5 Q Q K A A 10 K A 7 3 Jok 7 A Jok 4 D 8 A C 9 3 J J B J C 11 2 K B 12 9 K 10 K 2 K F 13,14 K 7 Q 5 A 10 K 10 A J 8 8 B Brg 4 J A 16, Q 7 A A 8 Brg Q J Q Q C 3.6: 1 A 14 B 11 C 9 D 1 E 0 F 4 A C D D 7 D 2 3 E E 4 5 E B J B 18 F Q 25

27 A: A A K Q J Jok B: J 10 7 K Q K Q C: A 4 A J J 8 5 A Brg D: K K Q A 3 J K 6 E: K A K Q Jok Brg F: J Q J 8 7 A Q J A 30 A D 25 A Q A( ) B C( ) D E F 1 Jok( ) A K 7 2 F 3 Q 7 A C A A A A 6 K Q 7 J 10 4 F 7 A A 8 J J A 9 A 6 J A 10 Q 7 J A Jok J A Q 10 A 13, K Q 10 K 2 Q 10 A 15 2 J Brg K Brg A A 16 4 K 4 K A J A 17 4 Q 2 A K Q C 3.7: 2 A 28 C 6 F 5 B D E 0 A 2 C C =34 20 A 1 A

28 F F A 4 5 E 7 A A A E C A: Q J 6 J 9 J J 9 5 A Q Q J J 5 2 Brg B: A Q 10 5 A Jok C: K J A K D: A K Q K Q E: Q 7 2 A 8 A K A Brg F: K K J Q 8 6 K 5 4 Jok A B A A A 30 C 8 F 2 A+C+F= (B D) J J J J J 5 D A A 4 C D

29 A( ) B C( ) D E F( ) 1 J J J A 8 4 K 10 3 A K 5 4 A 6 J J J ( ) Q A K Q Q 6 6 Brg 10 K Q 7 A Jok 3 5 A K A 8,9 Q Q A 10, A A K 6 A 14 Q 5 K C J 2 Q 7 C 16 Brg A 9 K A Jok C A J F 3.8: J (3.4.2 ) 7 B J J C F 2 C Q 1 14 Q 2 10 F J A: K K Q J J A K K K Brg B: A Q 10 2 A 6 5 A C: K Q J D: A 5 K Q E: A A J J 7 3 J Brg F: Q A K J J Jok

30 E A F E A 33 J Q Q Q 10 7 Jok 9 A K 10 7 Brg A( ) B C D E F( ) 1,2 K K A 3, A Q 4 A 5,6 J J A 7 Q 10 K K Brg 10 A 8 6 A J B 9,10 Q Q B 11 3 A A 12 Jok 10 Q Q J K A 13,14 K K J 7 J J F 15 Q Q 8 8 A 2 F 16 3 A 2 7 J Jok F A A F 3.9: 4 A 20 B 5 F 12 A+F=32 B A B 2 1 A 1 K 2 (4.1.2 ) D J J 1 B F 2 J B F B

31 A K Q J J 2 A Jok A A

32 A K J A A A 8 5 A K Jok 20 A,K K Q A J 1 2 Q

33 K A J 2 A K J 2 A K 2 Jok K A K A K A Q A K J 9 6 K 10 Q J 2 15 A 2 Q A J 8 7 Q J A Q J 9 6 A J 2 J 2 Jok 32

34 J 8 4 J 9 3 Q J 6 J

35 A Q

36 2 1 1 A 1: 2: A: A K A: J B: J 8 B: K 7 J 10 C: 5 Q C: 4 J 5 Q D: 2 7 D: 9 A 2 K 3: 4: A: A 10 A: A Q 6 B: A K B: J 10 Jok C: Q 5 C: 5 K 7 D: Q J D: K 7 3 1:B 2:A 3:D 4:B 1 A B J maximum 2 A J D K D A 2 3 B A D Q J 2 A C D D Q B K D 4 J 10 B

37 A 5: A: 10 7 B: A Q C: 5 7 D: Q 5 B A

38 A J 9 6 A K A Jok 2 1. A 2 Jok 2. A 2 Jok 3. A Jok % % A 2 8 K A

39 Q A B 1 C J J 6 1 A B C A: A K 9 6 A J J 6 6 B: A K 9 A J 6 6 C: K Q 9 6 A J J J Q A A K

40 A A A 1 A A A Q J A K K Jok Brg 28 K K 2 1 A 1 A A A J 2 39

41 K 5 J J A K J Jok 7 30 K 2 J J K 5 J J A K Q Jok 3 3 J J A K J J 5 2 J J 9 6 Q 9 2 A J 2 Jok A J 8 A K J J 5 2 J 9 6 Q Q 9 2 A J 2 Jok A J A J A, J, J, J 4 40

42 A A Q 2 Q Q A J A K Q J C A 6 6 B A 5 E 1 C 9 1 Q E K C 1 A E C 9 A B C D E F 41

43 1 2 A A 1: 2: A: A 5 5 A: A A 8 8 B: A Brg Brg B: K 7 Q 9 C: A 7 Q C: 4 Q J 5 D: J 9 2 D: 9 A 5 2 E: A 10 Jok E: K K J Brg F: F: Q : 4: A: A: B: 7 6 Jok B: 10 7 Jok C: A J 8 C: A A 9 D: Q J J D: Q J 9 E: A A 10 E: Q 5 5 F: A K K F: 7 5 J 5: 6: A: A: A A 7 B: B: Q J J C: J J 9 9 C: Q 4 3 D: Q J 5 4 D: E: Q E: J K J F: F: A 1 B 2 1 B A A A A A 4 A E J K K 42

44 3 A 1 C F D Q F K K C 8 A D J J D Q E A 10 D 4 A 1 D D D A 7 7 C A A C 5 A 1 4 F 3 3 C J J 11 F Q 6 A 1 B E Q A A A 2 B E J J A K ,4,5 A : A: J B: J J J J A A 3 9 C: A K K D: 7 K Q 4 J E: 2 Q Q 2 J J 8 8 F: 5 2 A 2 Jok Jok Brg Brg 1. A 8 : (a) B J 1 C A 2 2 A D J K K (B J (b) C A E 2 F A D J Jok Jok B 2 J C A 5 Brg Brg J 12 B Q J J A

45 (c) F 2 E 2 2 B J D K J J Q Q C A A D J ) A : B J J J J C A J 3 D J E J 1 A A (E J ) Q 3. A 8 : C 2 A 1 C 4. A J : F 2 14 Jok Jok ( B J C K 2 ) A C A D K E Q A ) Brg Brg B C E F C 2 2 F

46 Appendix A Appendix A Appendix A ( 4 ) R A K J 2 A K J 8 2?????? 3 3 A 1 45

47 : 2 : 46

48 A J 26 K 28 A J K A 3 A K 2 2 Q 29R Q K A K 3 47

49 A A 6 K Appendix D 48

50

51 ( ) ( ) 1 ( ) ( 5 )

52 (4 3 ) ( )

53 6 : 8mm : 8 : A ( ) 40 ( ) 1 A A

54 (2 ) (3 ) ( ) ,4 53

55 :

56 7!! Ver It s game time 1 2 TEX

57 Special thanks A A A I I K Y K S S S 1 T F M M Y ( 40 ) 56

58 A J 10 Q 2 2 n n 57

59 B 1 A: 2 : K: 3: A: K: Q: J: A: J: : A: 1 58

60 C 0 C.1 C (2 ) (4 ) (16 ) 1 =2: C.1 C.2 C : C ,

61 C /2 3/4 120 (2 ) 1/4 1/2 240 (4 ) 1/4 960 (16 ) 1 ( ) 1 3: :1 120 : C , , C :1 3:1 60

62 , , C.1: ( 3 ) , , , C.2: ( 4 ) 61

63 , , , , C.3: ( 5 ) 62

64 C (2 ) (4 ) (16 ) C.4 1 =2: :15: C.5 C.7 : C (240 ) 4 C

65 C /2 3/4 120 (2 ) 1/4 1/2 240 (4 ) 1/4 960 (16 ) C.4 1 3:1 2 1/3 C : 1:1 120 : C (60 ) 14 2 C

66 (60 ) (120 ) (240 ) (960 ) C.4: ( ) C.5: ( ) 65

67 C.6: ( ) C C.7: 66

68 D D : 24C 12 53C 12 = = 10ppm : 50C C 17 = = 0.36ppm D.1: D.2: 2 D ppm

69 D.1: D A = C C 81 8 C C 80 8 C C D

70 D.2: (N) (A) (B) (A+B N) % 0.23 % 1.3 % % 0.67 % 4.0 % % 0.23 % 2.2 % % 0.12 % 1.0 % % % 0.60 % D.3: 69

71 D.4: D.4 6 A A 2 2 C C 15 A J J J J Jok C ( 2 C 2 ) C 13 6 C 2 3 D

72 , 11, 14, 23, 32, 12, 24, 26, 40, 10, 12, 20, 25, 34 4, 12 2,, 28, 29, 35, 42, 14, 19,, 10, 23, 34, 8, 18, 8, 17, 8, 10, 23, 31, 11, 23, 22, 28, 69, 22, 28, 10, 12, 14, 23, 26, 8, 17, 10, 12, 14, 23, 26 J Q K 2, , 20, 10 12, 20, 23, 25, 28, 34, 10, 14, 23, 25, 10, 7 10, 16, 19, 18, 10, 15, 23, 28, 31, 32, 23 A, 3,, 10, 12, 20, 29, 34 2, 10, 19, 20, 25, 28, 29, 68 2, 19, 25, 26 4, 12, 8, 13, 15, 28, 44, 13, 8, 13, 15, 17, 25 28, 8, 18, 10, 23, 25, 32, 40, 20, 21, 23, 29, 20, 29, 23, 41, 12, 24, 31, 41, 27, 28, 27, 28, 44, 33, 8, 9, 19, 20, 21, 25, 27, 9, 18, 29, 38, 32, 9, 9, 18, 29, 9 2, 20, 38 71

73 2 2, 20 2, 20, 11, 24, 27, 40, 32, 10, 23, 30, 39 A, K, Q,, 13, 24,,, 36 1, 9, 19 2, 19 2, 26, 29, 9, 14, 18, 31, 17, 18,, 27, 54, 10, 23, 16, 22, 23, 25, 27, 2, 43, 36,, 31, 39, 10, 19, 20, 22, 25, 29, 34, 41, 29, 35, 9, 19, 10, 19, 20, 25, 29, 31, 34, 41, 10, 19, 20, 41, 19, 20, 41, 44, 20, 24, 71, 17, 9, 14, 18, 44 72

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