Consider the equivalence relation from Example 2, namely, R = {(x, y) | x y is

Question:

Consider the equivalence relation from Example 2, namely, R = {(x, y) | x − y is an integer}.
a) What is the equivalence class of 1 for this equivalence relation?
b) What is the equivalence class of 1/2 for this equivalence relation?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 03, 2016 01:50 AM

See More Questions

Suppose we use Theorem 2 to form a partition P from an equivalence relation R. What is the equivalence relation R' that results if we use Theorem 2 again to form an equivalence relation from P?
Show that the partition of the set of all identifiers in C formed by the equivalence classes of identifiers with respect to the equivalence relation R31 is a refinement of the partition formed by...
What are the equivalence classes of the bit strings in Exercise 30 for the equivalence relation R4 from Example 5 on the set of all bit strings? (Recall that bit strings s and t are equivalent under...
You are helping your very rich aunt Molly decide where to invest her portfolio. She is planning to take a 10-year world tour after she invests the bulk of her portfolio. She thinks that picking a...
How is the distinction between direct and indirect costs handled differently under volume-based versus activity- based costing systems?
Two brothers, Eugene and Marlowe Mehl, formed a partnership to operate the family farm. One year, Eugene Mehl withdrew $7,200 from the partnership account and bought the Dagmar Bar. The warranty deed...
The American Educational Research Journal (Fall, 1998) published a study to compare the mathematics achievement test scores of male and female students. a. The researchers hypothesized that the...
Hector Inc. is a retailer operating in British Columbia. Hector uses the perpetual inventory method. All sales returns from customers result in the goods being returned to inventory; the inventory is...
( FV ) . ( PV ) . : . . )
Cost Analysis 2: Piston Corporation's products are replacement automobile parts. Piston had experienced a rather stable growth in sales in recent years and had been required to increase its capacity...
Find the smallest equivalence relation on the set {a, b, c, d, e} containing the relation {(a, b), (a, c), (d, e)}.
Determine the number of different equivalence relations on a set with three elements by listing them.
What command is the simplest way to list suggestions for classes in jdk.unsupported? A. jdeps cookie.jar B. jdeps s cookie.jar C. jdeps jdkinternals cookie.jar D. jdeps --jdkinternals cookie.jar E....
Use the information below to answer the next question. Below are different graphs that could represent the magnitude of an Electric Field from a source. Teza E Distance E 4 Tza E Taza 2 Distance 5 3...
Factor out the GCF: 36c5 +54c8
Demonstrate that a circle with a radius of r has a circumference of 2 pi ( r ) . HINT: Begin by examining the equation for the upper semicircle, utilize the arc length formula, and then double the...
Graph the function f(x) = 3.x - 7.
Vine plc. produces a single product. The following information on inventory, purchases, and sales are available for the month of January 2018. DATE TRANSACTION NUMBER OF UNITS UNIT COST...
Assume a 0.4 tax rate. To pay 0.10, a company must earn what percentage return (before tax) if the security is: a. Debt? b. Preferred stock? c. Common stock?
Floyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional...
Let f(x) = x [x]. (a) Sketch the graph of f. (b) If n is an integer, evaluate (i) lim x n f[x] (ii) lim x n+ f[x] (c) For what values of a does lim x a f[x] exist?
If f(x) = [x] + [x], show that lim x 2 f(x) exists but is not equal to f (2).
In the theory of relativity, the Lorentz contraction formula L = L01 v2/c2 expresses the length L of an object as a function of its velocity v with respect to an observer, where L0 is the length of...
The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes...
?? A local college is deciding whether to conduct a campus beautification initiative that would imvolve various projects, such as planting trees and remodeling bulidings, to make the campus more...
A company has net income of $196,000, a profit margin of 9.7 percent, and an accounts receivable balance of $135,370. Assuming 70 percent of sales are on credit, what is the companys days sales in...

Consider the equivalence relation from Example 2, namely, R = {(x, y) | x y is

Question:

Step by Step Answer:

a The equivalence class of 1 is the set of all real numbers that differ ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions