User Account

All Pages

Properties of equivalence relations

Assignment Help Mathematics
Reference no: EM13833454

Problem 1: A bijection is an injective (one to one), surjective (onto) map between sets. If S = (0,1) and T = R, find a map from S to T which is (a) An injective but not surjective map, (b) a surjective but not injective map, (c) a bijection.

Problem 2: Which of the following is an equivalence relation on the set S?

a. a ~ b in S = Z if ¦a¦ = ¦b¦.

b. a ~ b in S = C if ¦a¦ = ¦b¦.

c. a ~ b in S = if arga - argb where if a Î C, a = reiq then ¦a¦= r and arga = q.

d. a ~ b in S = N if a - b divides n.

For the equivalence relations, what is the corresponding partition of S into equivalence classes? For the relations which are not equivalence relations, which of the three properties of equivalence relations fails?

Problem 3: If n is a positive integer, let Z*n be the subset of integers in (1,...., n) which are relatively prime to n. show that is a, b Î Z*n.

Reference no: EM13833454

Questions Cloud

Exopcontemporary politics and current issues : Discuss the meaning of this phrase in terms of contemporary politics and current issues. Please give at least one specific example from current issues and at least one specific example from a USA President other that President Theodore Roosevelt.
Determine the percentages for each given interval : Use the information in the table to determine the percentages for each interval. Do the data below show a linear relation, non-linear relation, or no relation at all
How do you communicate with the customer group : How do you communicate with the customer group? How do you communicate with your colleague? Describe how personal presentation could / would assist in handling the above situation.
Describe your understanding of the main issues involved : Describe your understanding of the main issues involved in this dispute between the legislative and executive branches of Texas government
Properties of equivalence relations : Problem 1: A bijection is an injective (one to one), surjective (onto) map between sets. If S = (0,1) and T = R, find a map from S to T which is (a) An injective but not surjective map, (b) a surjective but not injective map, (c) a bijection.
Determine the initial potential energy : Determine the initial potential energy
Is there sufficient evidence to support the claim : Is there sufficient evidence to support the claim that women in the different age categories have different mean blood pressure levels? Give reasons for your decision.
What is the largest ethnic group in new mexicowhat is the la : What is the largest ethnic group in New Mexico
Explain the purpose workplace health and safety act : Explain the purpose Workplace Health and Safety (WHS) Act 2011. Identify three duty of care responsibilities that an employer and an employee are required to follow to maintain and improve organisational health, safety and welfare standards.

Reviews

Write a Review

Mathematics Questions & Answers

  Differences in the rate of functions

Evaluate the function for the values of x given as 1,2,4,8,16. Describe the differences in the rate at which each function changes with the increasing values of x.

  Characterization of repeating and terminating decimals

Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.

  Use the best numerical method to determine

A transportation engineering study requires that you determine the number of cars that pass through an intersection traveling during morning rush hour. You stand at the side of the road and count the number of cars that pass every 4 minutes at sev..

  How many of the students scored between 16 and 82

On a nationwide test taken by high school students, the mean score was 49 and the standard deviation was 11.The scores were normally distributed. Approximately how many of the students scored between 16 and 82.

  The function aa0e-000866x models the amount in pounds of a

the function aa0e-0.00866x models the amount in pounds of a particular radioactive material remaining in a concrete

  Find the probability p

The probability P, If the random variable z is the standard normal score, is it true that P(-1

  Find the value of coefficient of determination for the

a store wishes to predict net profit as a function of sales for the next year. the following table gives the years 1998

  Use independent sample to test

At the [I.CI level of significance, test the claim that the mean eight of women with Turner's syndrome is less than that of the general female population]

  Find the integral

Find the integral. Complete the square if necessary. ∫(2x-3)/sqrrt(4x-x^2)dx. I am mainly unsure about what to do with the numeratir, (2x-3) Thanks.

  Application of differential calculus in economics profit

application of differential calculus in economics profit cost and revenue function.the total cost cq of production

  Find two positive angles and two negative angles

Find two positive angles and two negative angles between -720° and 1080° that are coterminal with the given angle of 95°.

  Which point is the optimal solution

For the objective function Z=31x1+35x2 which we seek to maximize, which point is the optimal solution?

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd