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

Trigonometry, In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 de...

In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 degrees.BC=?

Limits at infinity, Limits At Infinity, Part I : In the earlier section w...

Limits At Infinity, Part I : In the earlier section we saw limits which were infinity and now it's time to take a look at limits at infinity.  Through limits at infinity we mean

Prove that a tree with n vertices has n - 1 edges, Prove that A tree with n...

Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

Types of infinity, TYPES OF INFINITY : Mostly the students have run across...

TYPES OF INFINITY : Mostly the students have run across infinity at several points in previous time to a calculus class. Though, when they have dealt along with this, this was jus

Using pythagorean theorem solve z 2 = ( x + y )2 + 3502, Two people on bik...

Two people on bikes are at a distance of  350 meters.  Person A begin riding north at a rate of 5 m/sec and 7 minutes later on Person B begin riding south at 3 m/sec.  Determine th

Percentages, how to remember the formulas of this topic

how to remember the formulas of this topic

Find the value of the derivative, Given y = f(x) = x 2 + 2x +3 a) Use the ...

Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.

Linear equation, tens digit of a 2-digit number is twice its unit digit. If...

tens digit of a 2-digit number is twice its unit digit. If the sum of the digit is 12, find the number.

#Regular Expression, Find the Regular Grammar for the following Regular Exp...

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

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