Equivalence relation, Mathematics

Assignment Help:

a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x -  y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.

 

b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe


Related Discussions:- Equivalence relation

Show that the height h of the tower, The angle of elevation of the to...

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is α. On advancing 'p' meters towards the foot of the tower, the angle of eleva

Find out primes of each denominator, Find out primes of each denominator: ...

Find out primes of each denominator: Add 1/15 and 7/10 Solution: Step 1:             Find out primes of each denominator. 15 = 5 x 3 10 = 5 x 2 Step 2:

Evaluate following limits at infinity, Evaluate following limits. ...

Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc

Finding the inverse of a function , Finding the Inverse of a Function : Th...

Finding the Inverse of a Function : The procedure for finding the inverse of a function is a rather simple one although there are a couple of steps which can on occasion be somewh

Four distinct points on a circle, If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are f...

If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??   Ans) As they are of form (x,1/x) let eq of circle be x

Explain basic geometric concepts, Explain Basic Geometric Concepts ? P...

Explain Basic Geometric Concepts ? Points, lines, and planes are the most fundamental concepts in the study of geometry. Points A point has no length, width or heig

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd