I&C SCI 6B Chapter Notes - Chapter 2.1: Ordered Pair, Set Notation, Nth Metal

• School: UC-Irvine
• Department: Information and Computer Science
• Course: I&C SCI 6B
• Professor: Wayne Hayes

Document Summary

Set: an unordered collection of objects, called elements or members of the set. (cid:914) (cid:882) (cid:917)(cid:918)(cid:927)(cid:928)(cid:933)(cid:918)(cid:932) (cid:933)(cid:921)(cid:914)(cid:933) (cid:914) (cid:922)(cid:932) (cid:914)(cid:927) (cid:918)(cid:925)(cid:918)(cid:926)(cid:918)(cid:927)(cid:933) (cid:928)(cid:919) (cid:933)(cid:921)(cid:918) (cid:932)(cid:918)(cid:933) (cid:882) A a denotes that a is not an element of the set a. E. g: the set v of all vowels in the english alphabet can be written as v = {a, e, i, o, u} N = {0, 1, 2, 3, } the set of natural numbers. Z = {, -1, 0, 1, } the set of integers. Z+ = {1, 2, 3, } the set of positive integers. Q = {p/q (cid:941) (cid:929) z, (cid:930) z, (cid:914)(cid:927)(cid:917) (cid:930) (cid:865)(cid:942), (cid:933)(cid:921)(cid:918) (cid:932)(cid:918)(cid:933) (cid:928)(cid:919) rational numbers. R+, the set of positive real numbers. Equality: two sets are equal if and only if they have the same elements; therefore, if a and b are sets, then a and b are equal if (cid:914)(cid:927)(cid:917) (cid:928)(cid:927)(cid:925)(cid:938) (cid:922)(cid:919) (cid:937)(cid:857)(cid:937) (cid:882) (cid:937) (cid:883)(cid:858).