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

How to join as maths expert, Sir, With due respect,I, beg to state that I ...

Sir, With due respect,I, beg to state that I want to join as a maths expert and earn some money. I would be grateful to you if you guide me in this regard.

Harmonic mean, If a, b and c are in harmonic progression with b as th...

If a, b and c are in harmonic progression with b as their harmonic mean then, b  = This is obtained as follows. Since a, b and c are in

Purely imaginary number, It is totally possible that a or b could be zero a...

It is totally possible that a or b could be zero and thus in 16 i the real part is zero.  While the real part is zero we frequently will call the complex numbers a purely imaginar

Prime Ideals, Given a standard 2x3 matrix show the ideal formed by the 2x2 ...

Given a standard 2x3 matrix show the ideal formed by the 2x2 minors is Prime.

#title., fixed cost of $1400 ,printing cost of .40 cents -each item to sell...

fixed cost of $1400 ,printing cost of .40 cents -each item to sell for $1.05. what is linear cost function, linear revenue function and number of items to be sold to make a profit

Fenrir chain, Fenrir the wolf is bound by a magical chain. The chain is an ...

Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c

Can tan theeta be integrated?, Normal 0 false false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Find out the roots of the quadratic equation, Find out the roots of the fol...

Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the

Evaluate infinity limit into the polynomial , Example   Evaluate following...

Example   Evaluate following limits. Solution Here our first thought is probably to just "plug" infinity into the polynomial & "evaluate" every term to finds out the

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