ΠΛΗ20 ΜΑΘΗΜΑ 2.1

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Transcript of ΠΛΗ20 ΜΑΘΗΜΑ 2.1

  1. 1. 20 2: 2.1:
  2. 2. . . 1. 1. 2. 1. 2. 2 , 20, 2.1: 2. 3. 2. 1. 2. 3. 3. . 1. 2. 3.
  3. 3. . (-) 3 , 20, 2.1: (-) (-)
  4. 4. B. 4 , 20, 2.1: : , . . () , , : ( 0- 0) () (). (1- 1) . . .
  5. 5. B. 1. 1. 5 , 20, 2.1:
  6. 6. B. 1. 2. 6 , 20, 2.1: )(),(),(),(),(
  7. 7. B. 1. 2. (1. ) 7 , 20, 2.1: , : : 1. : 2. : 3. : qp ))(( qp rqp ( ))( rqp rqqp ( )( ) ( )( )( )rqqp
  8. 8. B. 1. 2. (2. ) 8 , 20, 2.1: . : : ( ) qrpqp ( ) ( ) ( )( )qrpqp . ( ) ( ) ( )( )qrpqp qp ( ) ( )qrp p q rp q qq p r
  9. 9. B. 1. 3. 9 , 20, 2.1: (=) (=) . : },{)(: 0 Ma , , : .
  10. 10. B. 1. 3. 10 , 20, 2.1: : : ( ) : ( ) ( ) == , == , == , = = ... =... =
  11. 11. B. 1. 3. 11 , 20, 2.1: , : : 1: : : : 2: : : : rqqp === )(,)(,)( raqapa ( ) ( ) ( ) ( ) ( ) ( ) ==== rqqp rqqp ( ) ( ) ( ) ( ) ( ) ( ) ==== rqqp === )(,)(,)( raqapa
  12. 12. B. 2. 12 , 20, 2.1: : : : : .
  13. 13. B. 2. 1. 13 , 20, 2.1: , : . : () : . : () : : : : , ( ) qpp ( ) qpp qp ( ) AAAAA == ( ) AAA == ( ) AAA == ( ) A== ( )pp ...
  14. 14. B. 2. 2. 14 , 20, 2.1: , : . : () : . : () : : : : p=, p=A, . . ( )pqp qp ( )pqp ( ) == ( ) == ( ) == ( ) == = ... ( ) == q
  15. 15. B. 2. 3. 15 , 20, 2.1: , : . : () : . : : : ( .. p=A, q=A) ( )qpp qp ( )qpp ( ) ( ) === qpp ( ) ( ) === qpp ( ) ( ) === qpp ( ) ( ) === qpp ! !
  16. 16. B. 3. 16 , 20, 2.1: : (), : i : xij n ...21 1 2 ... mi i ix x x : xij
  17. 17. B. 3. 1: 17 , 20, 2.1: : ... : : : ( )rqp qp ( )rqp r ( ) ( ) === rqp ( ) ( ) === rqp 2, 5, 6, 7 8 . ( ) ( ) === rqp ( ) ( ) === rqp ( ) ( ) === rqp ( ) ( ) === rqp ( ) ( ) === rqp ( ) ( ) === rqp ( ) ( ) === rqp
  18. 18. B. 3. 2-3: 18 , 20, 2.1: () : 2 : 5 : 6 : rqp rqp rqp 6 : 7 : 8 : : rqp rqp rqp ( ) ( ) ( ) ( ) ( )rqprqprqprqprqp ( )rqp
  19. 19. . 1. 19 , 20, 1.2:
  20. 20. . 1. 20 , 20, 1.2:
  21. 21. . 1. 21 , 20, 1.2:
  22. 22. . 1 22 , 20, 2.1: 1. : (p)=A, (q)=, (r)= 2. : )( qrpp 2. : (p)=, (q)=, (r)= )()( rqqp
  23. 23. . 2 23 , 20, 2.1: : ) ) )()(1 qpqp = ))(()(2 ppqpp = ) , , . )()(3 qrrp =
  24. 24. . 3 24 , 20, 2.1: , : ( )rqp =1
  25. 25. . 4 25 , 20, 2.1: : qpqp =1
  26. 26. . 1 26 , 20, 2.1: . 1. 1 2 1( )p p p 2. 3. 4. 1 1 2( )p p p 1 1 1 2( ( ))p p p p 1 1 2( )p p p
  27. 27. . 2 27 , 20, 2.1: p1, p2 1.1. 2.2. 1 2 1( )p p p 1 2 1( )p p p 2.2. 3.3. 4.4. 1 2 1( )p p p 1 2 1 2( ) ( )p p p p ( )212 ppp
  28. 28. . 1 28 , 20, 2.1: () : i) (p q) (pq) ii) p q (p r) q iii) p (q r q) iv) p (q (p q))iv) p (q (p q)) v) p q r vi) p q (q r q) () 1 , : i) , ii) ( ). , , , .
  29. 29. . 2 29 , 20, 2.1: . . 3 3 1 1 1 2 1 2 3 4 1 4 2 2 4 5 6 3 2 3 6 5 (( ) ) (( ) ) ( ) ( ) ( ) ( ) p p p p p p p p p p p p p p p p p p p p p p . .