DM2_vtor_kol_2014_15_zaWeb

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Vtor kokvium

Transcript of DM2_vtor_kol_2014_15_zaWeb

  • 2

    ____________________________________ . ___________

    _______________________________________ 2

    2.

    :

    1. ,

    .

    ( ).

    ,

    . .

    2. .

    , .

    3. .

    .

    , .

    4. .

    5.

    ( ),

    412, 12! ,

    .

    6.

    ,

    ,

    .

    1

    2

    3

    4

    5

    6

    .

  • 1. :

    ) (5) ( ).

    ) (5) f(n)

    f(n) = af(n/b) + c

    b>1 n, c . g(n), f(n)=(g(n)) , a = 1

    ) (5) 7 6 ? !

    ) (8)

    ,

    .

  • 2. ) (3) k-.

    ) (14) >, = < ,

    i) (2+) A , b c n,

    n- 3 .

    |A| | B|

    ii) (2+) A k- n

    (k>n), k-

    n (k>n).

    |A| | B|

    i) ii) (3) 3 .

    iii) (2+5) A 4

    30 ,

    4

    30 .

    |A| | B|

    iii) !

  • 3. (20) :

    ) (7) (

    , ).

    ) (7) ,

    ( ,

    ).

    ) , ,

    ( ))

    i) (3) :________________

    ii) (3) ( )

  • 4. (21) - m

    ( ) n .

    a. (7) m=12 n=76. ,

    (

    ), 3 .

    b. (7) m=13 n=73.

    . ?

    c. (7) m=3 n=9.

    , ?

    .

  • 5. (9) , . |UBUC|=34, |C|=2, |B|=4, |C|=4,

    |B|=7, ||=16, |C|=17, |BC|?

    6. (10) n ( )

    . ( , 5 .)

    3

    ?