:
, .
- , : { }, , ∉ ; ∅
, , ,
Ư. , , = .
, ( ) ⊂ ; , .
∅ . .. :
∅.
. , , (.. ∅) . {}.
: = {1;2;3} ∅ .
:{1},{2},{3},{1;2},{1;3},{2;3} . 2; , , , ≠ . , ;
⊆ , = , , .. .
() (
().)
() ( , ().)
⇒ Q ( Q )
⟺ - ( )
∧ Q ( Q)
∨ Q ( Q)
-
: = - ()
def ( )
:
1) ( = ) ⟺(( ∈ ⇒ ∈ ) ∧ ( ∈ ⇒ ∈ )
2) ( ⊆ ) ⟺ ( / ∈ ⇒ ∈ )
3) ( = ) ⟺ ( ⊂ ∧ ⊂ )
∩
: : = { 1; 2; 3; ; n }
()
(): : = { | () }
:
1) = { ∈ N | < 3} , = { 1; 2}
2) ={ ∈ N | +1=5} , = {4}
3) = { ∈ N | M5} {5;10;15}
.. { | () }, ()
4) = { ∈ N | 3< 5}={1;2;3;4;5;6;7}
|
|
:
10. .
U
∪ = { / ∈ ∈ } .. , .
20. .
A∩B = {x/x ∈ A x ∈ B} .. , .
3º. .
U
A/B = {x/x ∈ A x ∉ B} .. , .
4º. ( )
Ө B = {x/x ∈ A x ∉ B} ∪ {x/x ∈ x ∉ } {\ ∪ \}
5º.
= U\A = {x|x ∈ Uux x ∉ }
() , I , II , .. × = {(, )/ ̂ }
: ={2;5;7;9} ={2;4;7},
× = {(2,2); (2,4); (2,7); (5,2); (5,4); (5,7); (7,2); (7,4); (7,7); (9,2); (9,4); (9,7)}
∩={2,7}; ∪={2,4,5,7,9}; /={5,9}; /={4}; Ө ={4,5,9}
× ; (, ) , .
R×R=R2, R .
R2 R.