1. :
) ;
) ;
) ;
) .
2. :
) ;
) ;
) ;
) .
3.
300+ | |||
+ | |||
: ) 100; ) 300; ) 600; ) 400.
4. m n , :
) m + n; ) m × n; ) m + n - 1; ) n.
5. , : ) ; ) ;
) ; ) ij=0.
6. m n , :
) ; ) ;
) ;
) .
7. (m n ) , :
) ; ) ;
) ; ) .
8. (m n ) , :
) ; ) ;
) ; ) .
9. (m n ) , :
) , ;
) , ;
) , ;
) , .
10. (m n ) :
) m + n; ) m × n; ) m + n - 1; ) n.
11. :
) m + n; ) m + n - 1; ) m × n; ) mn - 1.
12. :
) 1;
) ;
) ;
) , , , 1, 0;
) ;
13. :
) ; ) - ;
) ; ) .
14. :
) m + n - 1; ) mn - 1; ) mn; ) mn - (m + n - 1).
15. ,
:
)
)
)
) .
16.
|
|
:
)
)
)
) , ; ) , .
17. (m n ) :
) m + n; ) m × n; ) m + n - 1; ) .
18. :
) ;
) , ;
) ;
) .
19. (m n ) , :
)
)
)
)
20. (m n ) -
) , ;
) , 90o;
) , , 90o;
) .
21. (m n ), :
) ;
) m + n -1;
) ; ) .
22. n :
) m + n; ) m + n - 1; ) (n - 1)(m - 1); ) n - 1.
23.
ui | |||||||
vj |
: ) ; ) ;
) ; ) .
24.
ui | |||||||
-2 | |||||||
vj |
: ) ; ) ;
) ; ) .
|
|
25. :
) ; ) ; ) ;
) , ; ) , .
26. (m n ) , :
) 0; ) 0; ) 0; ) 0.
27. (m n ) :
) )
) )
28. (m n ) :
) )
) ;
) .
29. ui (i= ) vj (j= ) ,
:
)
)
)
)
30.
ui | |||||||
-2 | |||||||
-1 | |||||||
vj |
:
) ; ) ; ) .
1. , i , b j Cij Ai Bj .
, . . .
2. (ai) (bj) , i j - . .
bj ai | bj ai | |||||||||
15/15 | 20/13 | 16/14 | 18/13 | 22/14 | 27/15 | 23/14 | 26/16 | |||
32/13 | 45/16 | 30/17 | 32/15 | 30/15 | 29/16 | 28/17 | 30/16 | |||
19/14 | 22/16 | 21/15 | 23/17 | 31/16 | 35/14 | 33/17 | 32/15 |
bj ai | bj ai | |||||||||
17/13 | 19/13 | 21/14 | 18/15 | 20/14 | 25/15 | 23/14 | 24/16 | |||
23/15 | 27/14 | 28/16 | 30/15 | 33/15 | 30/16 | 28/17 | 31/16 | |||
29/15 | 32/16 | 30/15 | 33/16 | 32/16 | 33/14 | 30/17 | 31/15 |
bj ai | bj ai | |||||||||
16/15 | 22/17 | 18/15 | 19/16 | 22/15 | 26/15 | 25/14 | 25/16 | |||
30/13 | 45/16 | 30/17 | 30/15 | 25/15 | 28/16 | 27/17 | 31/16 | |||
20/14 | 22/16 | 22/15 | 24/17 | 30/16 | 33/14 | 33/16 | 34/15 | |||
bj ai | bj ai | |||||||||
13/15 | 18/16 | 20/17 | 15/19 | 20/15 | 26/14 | 21/17 | 25/16 | |||
28/14 | 35/18 | 30/17 | 30/15 | 30/15 | 29/16 | 28/17 | 29/16 | |||
17/13 | 21/16 | 20/15 | 24/17 | 31/16 | 35/14 | 30/17 | 33/13 |
bj ai | bj ai | |||||||||
17/15 | 21/13 | 15/14 | 19/13 | 27/14 | 28/15 | 25/14 | 25/16 | |||
32/14 | 47/16 | 30/17 | 33/15 | 31/15 | 30/16 | 28/16 | 30/16 | |||
19/13 | 22/17 | 20/15 | 23/17 | 16/16 | 40/14 | 33/17 | 32/15 |
|
|
bj ai | bj ai | |||||||||
13/15 | 19/13 | 16/13 | 18/13 | 19/14 | 27/16 | 23/14 | 26/17 | |||
30/13 | 43/17 | 30/16 | 31/14 | 30/15 | 28/16 | 28/17 | 30/15 | |||
25/18 | 21/16 | 21/17 | 23/16 | 31/16 | 35/14 | 33/19 | 32/13 |
bj ai | bj ai | |||||||||
17/14 | 21/13 | 15/14 | 19/14 | 28/16 | 28/15 | 25/14 | 25/16 | |||
32/12 | 47/16 | 31/17 | 32/15 | 31/14 | 29/16 | 28/16 | 30/16 | |||
19/15 | 22/17 | 20/16 | 23/17 | 16/16 | 40/13 | 33/17 | 29/15 |
bj ai | bj ai | |||||||||
13/14 | 19/13 | 15/14 | 19/13 | 27/14 | 28/15 | 23/4 | 25/7 | |||
31/14 | 43/16 | 30/17 | 32/15 | 31/15 | 30/16 | 28/7 | 30/14 | |||
19/13 | 22/17 | 20/15 | 21/18 | 16/16 | 40/15 | 33/16 | 32/13 |
bj ai | bj ai | |||||||||
17/15 | 21/13 | 15/14 | 19/13 | 27/14 | 28/15 | 25/14 | 25/16 | |||
32/14 | 47/16 | 30/17 | 33/15 | 31/15 | 30/16 | 28/16 | 30/16 | |||
19/13 | 22/17 | 20/15 | 23/17 | 16/16 | 40/14 | 33/17 | 32/15 | |||
bj ai | bj ai | |||||||||
20/15 | 21/12 | 23/14 | 21/17 | 30/14 | 28/15 | 21/14 | 25/16 | |||
33/14 | 45/16 | 32/17 | 36/19 | 33/15 | 29/16 | 28/16 | 24/16 | |||
21/17 | 25/15 | 26/19 | 25/21 | 16/20 | 40/15 | 33/22 | 32/15 |
6.
, .
, , , .
: .
fk, , k .
, , , fk+1, fk.
. : , , () .