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

Find out the variance and standard deviation, The probability of a rare dis...

The probability of a rare disease striking a described population is 0.003. A sample of 10000 was examined. Determine the expected no. suffering from the disease and thus find out

Find relative extrema f ( x ) = x2 on [-2, Recognizes the absolute extrema...

Recognizes the absolute extrema & relative extrema for the given function.  f ( x ) = x 2        on                  [-2, 2] Solution Following is the graph for this fun

Light take 5.3 × 10-6 seconds calculate standard notation, It takes light 5...

It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f

Developing pre-number concepts, DEVELOPING PRE-NUMBER CONCEPTS :  Previous...

DEVELOPING PRE-NUMBER CONCEPTS :  Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities

G .E matrix, using the g.e matrix, how can you turn an unattractive product...

using the g.e matrix, how can you turn an unattractive product to be attractive

Characteristics of time series, Characteristics of Time Series Time se...

Characteristics of Time Series Time series has the given characteristics. a) A long term trend (T) -tendency of the whole series to fall and rise. b) Seasonal variati

Hcf, the length of three pieces of ropes are 140cm,150cm and 200cm.what is ...

the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?

Summation notation, SUMMATION NOTATION Under this section we require to...

SUMMATION NOTATION Under this section we require to do a brief review of summation notation or sigma notation.  We will start out with two integers, n and m, along with n a

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