May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Set Theory 1-5
This leads to the conclusion that f
1
= f
2
, that is, there is only one null set.
Note 1.1 It is to be noted that {f} = f is not true since {f} contains an element f whereas f = { }.
1.2.5 Venn Diagram
A pictorial representation of a set is given by Venn diagram named after English logician John
Venn. In this diagram, the set U is represented by the interior of a rectangle and its subsets
are represented by circles. Relationships between sets and also the operations on them can be
visualised by Venn diagrams.
(a) A ⊆ B (b) A and B are disjoint
(c) A and B are
not disjoint
UUU
A
B
AB
A
B
1.2.6 Set Operations
In this section, we discuss ways ...
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