[-]
Download 1.57 Mb. Pdf ko'rish
|
funksional analiz misol va masalalar yechish 1 qism
|
!"# !"# $ %&"'()#"* #"+ (!,"'('" %,-* (# ' .&"&" $!%/(,,%!"0 /1/20 %,-* (# ' +'%1% "& %&&!" "#,'"' '" $!%/(,,%!"0 /1/2 ! 1!3#2 2 +&' #"+ (!,"'('" $!%/(,,%!"0 /1/2 45* ! %3 + 3%&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§ + " & ! & &! & ^ &" & 1 & ! ! " ! ( " 1 & + ' ! 1 & : A, B, . . . " ! " a, b, . . . : ' " N − & Z − & Q − & R − & C − & & R + = [0, ∞), Z + = {0} ∪ N R n " n − ! [ ( a ∈ A a A ' a ∈ A a A A ⊂ B A B " ' A & B & & & * A B & & A = B = &! & A ⊂ B B ⊂ A + 36#9 5 '( + & 2 ≤ x < 2 " ! & |x| = −1 ! & ' & ! ∅ ( & & & 1 & & ! & ∧ ∨ A B & A ∪ B = {x : x ∈ A ∨ x ∈ B} & A B & A ∩ B = {x : x ∈ A ∧ x ∈ B} & A B & 3! ! " 5 A α & - ∪ α ∈X A α = {x : ∃ α 0 ∈ X, x ∈ A α 0 } , ∩ α ∈X A α = {x : ∀ α ∈ X, x ∈ A α } . A B & A \B = {x : x ∈ A ∧ x /∈ B} & * B ⊂ A A \B & B & A & ! C A B := CB " '( A B & ! ; A \B B \A & " & A B & ( A ΔB = (A\B) ∪ (B\A). * A, B ⊂ G G ” + ” A + B = {c : c = a + b, a ∈ A, b ∈ B} & A B & X Y & X × Y = {(x, y) : x ∈ X, y ∈ Y } & X × Y & R & x (x, y) + ! y ! x = pr 1 (x, y) y = pr 2 ( Download 1.57 Mb. Do'stlaringiz bilan baham: 
|