2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx Given a equivalence class [a] € S' /~, choose its representative z to be the largest element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of s' /~.
2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx Given a equivalence class [a] € S' /~, choose its representative z to be the largest element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of s' /~.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...
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