, , :
Y = ( Ú Ú Ú D) ( Ú Ú Ú ) (A Ú Ú C Ú D) ( Ú B Ú C Ú ).
13.3.
2 . ().
:
1) x Å y = y Å x, xy = yx.
2) x Å(y Å z) = (x Å y)Å z, x (y z) = (x y) z.
3) x (y Å z) = x y Å x z.
4) x 1 = x, x 0 = 0, x Å0 = x.
:
= 1Å x, x 1 Ú x 2 = x 1Å x 2Å x 1 x 2, x 1Å x 2 = x1 Ú x 2.
, .
.
1) x ( Ú y) = x [(1Å x)Å y Å(1Å x) y ] = x (1Å x Å y Å y Ú x y) = x (1Å x Å x y) = x Å x x Å x x y = x y.
2) 1Å x Å y Å x y = (1Å x)(1Å y) = .
. . 13.2.
13.2.
x 1 x 2 = Ú x 2 = 1Å x 1Å x 1 x 2 |
x 1 ~ x 2 = ( Ú x 2)(x 1 Ú ) = 1Å x 1Å x 2 |
x 1 x 2 = = x 1Å x 1 x 2 |
x 1 | x 2 = = 1Å x 1 x 2 |
x 1 ¯ x 2 = = 1Å x 1Å x 2Å x 1 x 2 |
13.4.
n = n y = f (x 1,..., xn) .
1) , 0, .. f (x 1,..., xn), f (0,..., 0) = 0, .
2) , 1, .. f (x 1,..., xn), f (1,..., 1) = 1, n .. .
3) , .. , , . .
4) , .. , , a 0 + a 1 x 1 +... + anxn, a 0,..., an 0 1. n + 1, .
5) , .. , , (a 1,..., a n) £ (b 1,..., b n), a i £ b i (i = 1, 2,..., n), f (a 1,..., a n) £ f (b 1,..., b n).
, , . 0 1, . , . , .
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