Saturday, May 11, 2013

De Morgan's Law venn Diagram


Venn Diagram is given by an English Logician Mr.Venn. He used diagrams to show the relations between sets. De Morgan's Law Venn diagram is used in Set Language.

A set is a collection of well defined distinct objects.

De Morgan's Law
(i)      (A`uu`B)' = A'`nn` B'
(ii)     (A`nn`B)' = A'`uu`B'
(iii)   A`-` (B`uu` C) = (A`-` B)`nn`(A`-` C)
(iv)   A`-` (B`nn` C) = (A`-` B)`uu` (A`-` C)
(i) and (ii) are w.r.t.complementation
(iii) and (iv) are w.r.t. to set difference.

Venn Diagrams


Let A and B are two given sets. Then the set of all elements common for both A and B is called intersection of A and B and is denoted by A.

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