Equivalence class and equivalence relation, Mathematics

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y).

(a) Prove that R is an equivalence relation on Z.

(b) If for every x ? Z, the equivalence class of x, [x], contains exactly one element, what can be said about the function f?

Posted Date: 3/30/2013 4:02:12 AM | Location : United States







Related Discussions:- Equivalence class and equivalence relation, Assignment Help, Ask Question on Equivalence class and equivalence relation, Get Answer, Expert's Help, Equivalence class and equivalence relation Discussions

Write discussion on Equivalence class and equivalence relation
Your posts are moderated
Related Questions
What is the square root of -i and argument of -i Ans) argument of -i is 270 ad 1 is the square root of -i


you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-

the (cube square root of 2)^1/2)^3

how much is this


how to round off 42,999,523

In pharmaceutical product research doctors visit the place to learn what

Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and

How do I solve step by step 7