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 Zbiory i działania na nich
Biuro Konstrukcji Elektronicznych






teraz jesteś Wzory
Zbiory i działania na nich
Zbiory i działania na nich
Zbiór - pojęcie pierwotne.
 
Inkluzja zbiorów:

A\subset B \: \Leftrightarrow \: \bigwedge_{x} (x\in A\Rightarrow x\in B)
zbiory zawierające się
Zbiory równe:

A=B \: \Leftrightarrow \: \bigwedge_{x} (x\in A\Leftrightarrow x\in B)
zbiory równe
Zbiory rozłączne:

A\cap B = \emptyset
zbiory rozłączne
Suma zbiorów:

A\cup B = \{\:x: \:\:\: x\in A \:\vee\: x\in B \:\}
suma zbiorów
Iloczyn zbiorów:

A\cap B = \{\:x: \:\:\: x\in A \:\wedge\: x\in B \:\}
iloczyn zbiorów
Różnica zbiorów:

A\backslash B\:\:= \{\:x: \:\:\: x\in A \:\wedge\: x\notin\:B \:\}
iloczyn zbiorów
Dopełnienie zbioru do przestrzeni \Omega:

A'\:\:= \{\:x: \:\:\: x\in \Omega \:\wedge\: x\notin\:A \:\}
dopełnienie zbioru do przestrzeni