Question: 2 Let S be the relation on R defined by Sy if sin x sin y Show that S is equivalence relation and determine the

2 Let S be the relation on R defined by Sy
if sin x sin y Show that S is equivalence relation and

2 Let S be the relation on R defined by Sy if sin x sin y Show that S is equivalence relation and determine the distinct equivalence classes

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

M=10 Nmm 1 mm 2 mm Consider the rectangular cantilevered beam below. Assume the material has an elastic modulus of E = 2 GPa. y N 2 N 2 mm 3 mm (a) Determine the maximum deflection experienced by the...

Q:

Problem 11. Represent cach of these relations on (1.2,3,4) with a matrix and a digraph. (b) R2={(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)) Problemi 12. Let R be the relation on Z#x Z+ such that ((a,...

Q:

The aircraft is fitted with a pitot tube which is measuring 5 . 9 9 \ times 1 0 4 N / m 2 in region 1 . The aircraft is at an altitude of 3 5 km where the following can be assumed about the flow...

Q:

What is the probability that a random relation from set A = {a,b, c,d} to set B = {1,2,3,4,...,8} is a one-to-one function? 2. Consider the set A = {1,2,3,4}. On the cartesian product A A we define...

Q:

4) In this HW, set, N = { 1, 2, 3, ) 5) al rES~y whereis an equivalence relation Exercise 1. Let z e R \ Z. Prove that(-z-- -1. What happens if we consider e R? Exercise 2, let R be the relation...

Q:

a] Define the equivalence relation S on the integers by 2:31,! 4:} 11|(:I: y]. State the least positive integer in the equivalence class of [14]. b} Fora set X = {1, 2, 3, 4}, let P be the partition...

Q:

1) The relation R is an equivalence relation on the set A. Find the distinct equivalence classes of R. A = {a, b, c, d} R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)} 2) Let R be the relation...

Q:

just need direct answers no justification a) Define the equivalence relation S on the integers by xSy - 11|(x - y). State the least positive integer in the equivalence class of [14]. b) For a set X =...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

The process of balancing of an account involves equalization of both sides of the account. If the debt side of an account exceeds the credit side, the difference is put on the credit side. The said...

Q:

Carefully examine the contents of the MRE reception areausing STROBE What inferences can you make about theorganization List them What interview questions wouldyou like to ask based on your...

Q:

Consider the simple regression model Y, =a+BX, +u in which Y is total expenditure on travel and X, is total income for the t" state. Including the District of Columbia, you have data for 51...

Q:

Why does exit occur?

Q:

The force constant of a massless spring is 2 5 . 0 N / m . A mass of 0 . 4 5 kg is oscillating in simple harmonic motion at the end of the spring

Q:

What type of change in cost will have an unfavorable effect on gross profit?: 256 a_ Increase b Decrease

Q:

A volume decrease will have what kind of effect on gross profit? 582 a_ Favorable b Unfavorable

Q:

The sales mix for the J. F. Company changed significantly from the budgeted amount. In such a situation the president of the company should: mlo5 a Call on the marketing department for an explanation...