ממן16

ממן16 - 16 " 1...

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Unformatted text preview: 16 " 1 3 k 3 k k ( nk ) = k k =0 k =0 n n n n! (n - 1)! = k 3 n = k !(n - k )! k =0 (k - 1)![n - 1 - (k - 1)]! n -1 k -1 k = ( 3 n k k =0 n n -1 k -1 ) = n ( ) 3 k =0 n = n ( k =0 n -1 n -1 k -1 )31 .1 n -1 k n -1- k = n + 1) (3 n -1 = n 4 (( n -1 n ) =0 ) (-3)i k =0 i = 0 n k n k n! n! k! = (-3)i k !(n - k )! !(k - i)! = i !(n - k )!(k - i )! k =0 i =0 i n k n! k ! n n k k i = (-3)i = = !(n - k )! ( k ) ( i ) (-3) k i !(k - i )! k = 0 i =0 k =0 i =0 k n = ( n ) ( ik ) (-3)i 1k -i ( n ) 3 + 1) k = (- = k k k =0 i=0 k =0 n n k =0 ( ) (-2) n k .2 = k = n k =0 ( ) (-2) 1 n k k n-k =(-2 + 1) n = (-1) n 2 A k A - B . A k A = A = 16 , A = 4 - , B = 3 . Ak A B 2 .1 = 163 = 4096 .2 . U = 4096 ,' . A k A - B U i A k A - B f Fi , 1 k i 4 Fi - , Fi 4 . x k B f ( x ) - 2 . Fi = A - 1) = 93 = 729 , ( A - {i}) ( A - {i}) - B ( B i, j f i k j Fi k Fj - B Fi k F j . x k B f ( x ) - . ( ) =6 4 2 . Fi F j = ( 22 ) = 64 , ( A - {i, j}) ( A - {i, j}) 3 ( ) =4 4 3 3 . Fi F j Fk = 1 = 1 , Fi F j Fk . A k A - B Fi . , , B i B , B , . A k A a k A , : , f ( x) a - x k B U - ( F1 F2 F3 F4 ) = = U - Fi + Fi F j - i =1 i< j 4 i< j <k F F i j Fk = 4096 - 4 + 6 - 4 = 729 64 1 = 1560 3 , x1 + x2 + x3 + x4 = 20 . D(4, 20) = ( 4 -1+ 20 4 -1 ) = ( ) = 1771 , 23 3 3-1+15 3-1 , x2 + x3 + x4 = 15 , x1 = 5 . D(3,15) = ( ) = ( ) = 136 17 2 . D(3,15) = 136 : . x1 + x3 + x4 = 15 : , x2 = 5 : . x1 + x2 + x4 = 12 : , x3 = 8 . D(3,12) = ( 3-1+12 3-1 ) = ( ) = 91 14 2 . D(3,12) = 91 : . x1 + x2 + x3 = 12 : x4 = 8 : 2 : . x3 + x4 = 10 : , x2 = 5 x1 = 5 . D(2,10) = ( 2 -1+10 2 -1 ) = ( ) = 11 11 1 :( 4 ") x4 = 8 x3 = 8 , x2 = 5 x1 = 5 . D(2, 7) = ( . D(2, 4) = ( 2 -1+ 4 2 -1 2 -1+ 7 2 -1 ) =( ) =8 8 1 ) =( ) =4 4 1 : . x1 + x2 = 4 : x4 = 8 x3 = 8 : 3 , ,( 2 ) x1 = 5, x2 = 5, x4 = 8 x1 = 5, x2 = 5, x3 = 8 . x3 = 2 x4 = 2 , , x2 = 5, x3 = 8, x4 = 8 x1 = 5, x3 = 8, x4 = 8 . x1 = -1 x2 = -1 : 4 , x1 = 5, x2 = 5, x3 = 8, x4 = 8 . . 5 + 5 + 8 + 8 = 26 20 , : , x1 k 5, x2 5, x3 8, x4 8 , x1 + x2 + x3 + x4 = 20 8 1 . 1771 - (136 + 136 + 91 + 91) + (11 + 4 + 4) - (2 + 0) + 0 = 1771 - 454 + 47 - 2 = 1362 4 . 11 - , 12 . 11 , 0,1,K ,10 11 - , 12 . 11 - , 11 - , , 12 - - , 11 : ) , 11m + r - 11n + r - . 11 - r - m < n , m, n ,( . 11 - n - m - 11n + r - (11m + r ) = 11n - 11m = 11(n - m) . 11 - 11(n - m) ,( m < n ) . m = n ,( 11 - ) 0 ,- 99 - - ) - . , 11 - ,( ...
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