MATH230 Chapter Notes - Chapter 1: Disjoint Sets, Venn Diagram, Empty Set
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30 Mar 2016
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Set: a collection whose members are specified by a list or a rule. When a set is specified by a list, each element in the set must appear in the list exactly once and the order does not matter the set which contains no elements is known as the empty set. By convention the empty set is considered to be a subset of every set (cid:1) 1. 2 venn diagrams and partitions in a venn diagram, a universal set u and its subsets are pictured by using geometric shapes. By convention the set u is usually represented by a rectangle, and the subsets of u are usually circles inside the rectangle. Venn diagrams provide us with a geometric way to represent the decomposition of a set into subsets. The sets in a collection are said to be pairwise disjoint if every pair of sets in the collection is disjoint.
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