CIS 1910 Chapter Notes - Chapter 1.1: Set-Builder Notation, Empty Set, Infinite Set
10 Jan 2019
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Document Summary
Capital letters are used as variables denoting sets, and lowercase letters are used for the elements in the set. Ellipses ( ) are used to denote a long (even infinite) sequence. The sequence of numbers should have a clear pattern, so the missing elements can be inferred. Set: collection of objects that can contain elements of different types. Can be book titles, names of bridges, rational numbers, etc. One set can have elements 2, a strawberry and a monkey. A set is defined by indication which elements belong to it. The set : n = {2, 4, 6, 10} Sets are defined with curly brackets { } The order in which elements of a set are listed does not matter. We use the symbol to indicate that an element is in a set. Indicates that an element is not in a set. Since an empty set has no elements, for any element a, a is true.
