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The notion of a relation; properties of relations on a set. Today's topics: Relations. A “relation” ...
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A relation R on a set A is an equivalence relation if it has these properties: R is reflexive. R is symmetric. R is transitive. The simplest example is ...
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Another example: the relation is reflexive on the set Z+. Symmetric relations. A relation R on a set A is symmetric iff for all x, y A, if (x, ...
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The relation itself can therefore be thought of as the ordered pairs whose elements are related by R. Definition: Let A and B be sets. A relation R from A to B ...
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Infinite sets come in different sizes! Venn Diagrams. Basic Set Relations: Member of ... Use a membership table. Method 1: Mutual subsets. Example: Show A ...