MAT102H5 Lecture Notes - Lecture 20: Modular Arithmetic, New Zealand, If And Only If

• School: UTM
• Department: Mathematics
• Course: MAT102H5
• Professor: Alexander Rennet

Document Summary

Often, we need to compare two objects in a given set, and decide whether they do or do not satisfy a certain property ( or condition). If a and b are sets, is a b? (inclusion relation) If a,b n, does a divide b? (divisibility relation) Definition: a relation on a set s is a subset of s s. We can think of the divisibility relation an n as a subset of n n: If s={jan,feb,,dec} and r is the relation x comes before y (feb,jun) r as feb comes before jun. (jun,may) r. We have special symbols for commonly used relations: a