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

Algebra 1, the equation of a line that passes through (-3,4) and is perpend...

the equation of a line that passes through (-3,4) and is perpendicular to the line y= -3x + 1 Also Graph the inequality: -3x + y And Use -4.9t(4.9t) + 10t + 1.5 to create a fu

Probability, an insurance salesman sells policies to 5 men, all of identica...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p

Similar triangles, S IMILAR TRIANGLES : Geometry  is  the  right  ...

S IMILAR TRIANGLES : Geometry  is  the  right  foundation  of all  painting,  I have  decided to  teach its  rudiments  and  principles  to  all  youngsters  eager for  ar

Differentiate y = x x using implicit differentiation, Differentiate y = x ...

Differentiate y = x x Solution : We've illustrated two functions similar to this at this point. d ( x n ) /dx = nx n -1                                 d (a x ) /dx= a

Limit comparison test - sequences and series, Limit Comparison Test Ass...

Limit Comparison Test Assume that we have two series ∑a n and ∑b n with a n , b n   ≥ 0 for all n. Determine, If c is positive (i.e. c > 0 ) and is finite (i.e. c

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