CSC165H1 Lecture Notes - Lecture 4: Empty Set
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CSC165H1 Full Course Notes
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Definition: a set is a collection of distinct objects. The objects are called the elements or the members of the set. Notation and terminology: sets will be labled using uppercase letters (a,b,c,), when we list the elements of a set, we use braces (e. g a={1,3,7,-1}, B={apple,n,0. 5}). y b means: y is an element of the set b. 3: for sets a, b, we write a b (b a) if every element of a belongs to b. We say that a is a subset of b (or b contains a). {} and denote the empty set. 5: two sets a and b are equal (written as a=b) if they have the same elements (order doesn"t matter). The rational numbers: q= { p q. : p , q z , q 0} R= the set of real numbers (rational and irrational) *irrational numbers: , Note: n z q r. 1 n , 0 n , {2,4,6} n, z r, r z.
