Элементы дискретной математики. Часть I - 126 стр.

UptoLike

k
I
t
(x) 0 t
k 1
I
t
(x)=
k 1
x = t,
0
x = t.
I
t
(x) t
J
t
(x)
0 t k 1
J
t
(x)=
1
x = t,
0
x = t.
J
t
(x) t
min(x
1
,x
2
)
x
1
x
2
(modk)
max(x
1
,x
2
)
x
1
+ x
2
(modk)
x
1
x
2
max(x
1
,x
2
) min(x
1
,x
2
)
x
1
+x
2
(modk) x
1
x
2
(modk)
((x
1
x
2
) x
2
)=(x
1
(x
2
x
2
))
(x
1
x
2
)=(x
2
x
1
).
min(x
1
,x
2
)
(x
1
&x
2
) max(x
1
,x
2
) (x
1
x
2
)
k
{0, 1,...,k 1,I
0
(x),I
1
(x),...,I
k1
(x), min(x
1
,x
2
), max(x
1
,x
2
)}
0 s, t k 1
I
t
(s)=
k 1
s = t,
0
s = t.
I
s
(I
t
(x)) =
I
0
(x) ... I
t1
(x) I
t+1
(x) ... I
k1
(x) s =0,
0
0 <s<k 1,
I
t
(x) s = k 1;