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

Alzebra, how can i memorize the formulas

how can i memorize the formulas

Error in measurement, what is actual error and how do you find percentage e...

what is actual error and how do you find percentage error

Multiply 3 (x + 4) = 3x + 12 to find out the total perimeter, Jake required...

Jake required to find out the perimeter of an equilateral triangle whose sides measure x + 4 cm each. Jake realized that he could multiply 3 (x + 4) = 3x + 12 to find out the total

Differential equation to determine initial value problem, Solve the subsequ...

Solve the subsequent IVP. cos(x) y' + sin(x) y = 2 cos 3 (x) sin(x) - 1 y(p/4) = 3√2, 0 Solution : Rewrite the differential equation to determine the coefficient of t

Find the value of given equations in polynomial , If α & ß are the zeroes ...

If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2   b. 1/ α + 1/ ß  c. (α - ß) 2 d. 1/α 2 + 1/ß 2    e.  α 3 + ß 3 (Ans:-1, 4/5 ,-6,

Perimeter of trinagle, what is the perimeter of a triangele with the sides ...

what is the perimeter of a triangele with the sides of 32 in /22 in/20 in/

Derive the probability distribution of the completion times, Derive the pro...

Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ

Example of set theory, Suggest me the solution: Consider the given unive...

Suggest me the solution: Consider the given universal set T and its subjects C, D and E T = {0, 2, 4, 6, 8, 10, 12} C = {4, 8,} D = {10, 2, 0} E = {0} Find out

Integration, Awhat is the meaning and application sk question #Minimum 100 ...

Awhat is the meaning and application sk question #Minimum 100 words accepted#

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