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

Arithmetic progressions, ARITHMETIC PROGRESSIONS: One  of the  endlessly a...

ARITHMETIC PROGRESSIONS: One  of the  endlessly alluring  aspects  of mathematics  is  that its thorniest  paradoxes have  a  way  of blooming  into  beautiful  theories Examp

Determine solutions to the given equation or inequality, Illustrates that t...

Illustrates that the following numbers aren't solutions to the given equation or inequality. y = -2 in 3( y + 1) = 4 y - 5 Solution In this case in essence we do the sam

What is the approximate cost of 1 binder and 1 pen, At the school bookstore...

At the school bookstore and two binders and three pens cost $12.50. Three binders and five pens cost $19.50. What is the approximate cost of 1 binder and 1 pen? Let x = the cos

What are the three sides of a right triangle, What are the Three Sides of a...

What are the Three Sides of a Right Triangle? Each side of a right triangle can be labeled opposite, adjacent, or hypotenuse, based on its relationship to the right angle and o

Finding the equation of a line, Finding the Equation of a line, Given a Slo...

Finding the Equation of a line, Given a Slope and a Point ? Find the equation of a line with slope m = 2, which passes through the point (-1, -3). Solution: Use the po

Trig, cot functions

cot functions

Determines the angles of depression, A pilot is flying over a straight leng...

A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f

Vertical tangent for parametric equations, Vertical Tangent for Parametric ...

Vertical Tangent for Parametric Equations Vertical tangents will take place where the derivative is not defined and thus we'll get vertical tangents at values of t for that we

Functions, the function g is defined as g:x 7-4x find the number k such tha...

the function g is defined as g:x 7-4x find the number k such that kf(-8)=f- 3/2

Example of log rules, Example of Log Rules: Y = ½ gt 2 where g = 32 ...

Example of Log Rules: Y = ½ gt 2 where g = 32 Solution: y = 16 t 2 Find y for t = 10 using logs. log y = log 10     (16 t 2 ) log 10 y = log 10 16 + log 10

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