Question

Subject: Set Theory

37.
Assume that IT is a partition ofa set A. Define the relation Rn as follows:
Show that Rn is an equivalence relation on A. (This is a formalized
version of the discussion at the beginning of this section.)
Expand
Transcribed Image Text

37. Assume that IT is a partition ofa set A. Define the relation Rn as follows: Show that Rn is an equivalence relation on A. (This is a formalized version of the discussion at the beginning of this section.)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Given the following hypotheses, construct an argument and draw a conclusion (if possible) using rule...

A: (a)The given hypothesis are,It is snowing today.If you played soccer, then it wasn’t snowing.If you ...

Q: pls explain to me step by step. pls write clearly and dont skip any steps. thanks

A: To test the contraction mapping property for the same operator T in two different settings . (C[0,1]...

Q: Find the solution to the given initial value problem. 4y"-12y'+9y=0, y(0)=0, y'(0)=1

A: The given initial value problem is y"-12y’+9y=0 with initial condition y(0)=0 and y’(0)=1.

Q: Differential equations Find the particular solution to the system of equations.  Please refer to att...

A: Augment the given matrices 

Q: 12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-...

A: To determine the related functions and the Fourier series based on the given Fourier series

Q: Find the simple interest paid on a $470 loan at 6.9% annual interest for 3 months

A: Given:The principal amount (P) is $470.The rate of interest (R) is 6.9% per year.The number of terms...

Q: 6.12 the book is "First Course on Fuzzy Theory and Applications"

A: By the extension principle, differentiation f'(A) of non-fuzzy function f at fuzzy point or fuzzy se...

Q: I understand how to construct a truth table for these two propositions to prove their logical equiva...

A: Proof:The given compound statement p ↔ q is built using the logical connective ↔.Here, the logic con...

Q: Abstract Algebra: Assist me please.

A: To prove that the kernel of a group homomorphism is always a normal subgroup of the domain (group)

Q: Let u and v be vectors in R^n. It can be shown that the set P of all points in the parallelogram det...

A: Given:

Q: Proposition: Let e be an edge of a triangulation, where e = AC belongs to the two triangles ABC and ...

A: To prove that D is located outside the circumcircel of the triangle ABC, under the given conditions

Q: pls explain to me step by step and dont skip any step. i will rate your answer immediately. thanks a...

A: To analyze the given non-linear system at its critical point(s)

Q: Evaluate the integral in which å, b are the derivatives of a, b with respect to t.

A: Evaluate the given integral as follows.Observe the fact that the dot product always results in numer...

Q: Mechanincal Vibrations (Differential equations) When a mass of 2 kilograms is attached to a spring w...

A: The differential equation for equation of motion is given by,

Q: Use the method of separable equations to solve the following initial value problems. dx/dt= xsin(t)...

A: It is given that dx/dt=xsin(t) with initial condition x(0) =1 and xy′=y2 with initial condition y(1)...

Q: z is a complex variable z=x+iy pic attached with question  Evaluate using L’Hospital’s rule

A: To calculate the limit of the given indeterminate form using L'Hosptial rule

Q: The gift wrap desk at a large dept. store offers 5 box sizes, 10 wrapping papers, 7 colors of ribbon...

A: To calculate the total number of options for the customer at the gift wrapping counter

Q: What is a formula to calculate the sum of the first n positive integers? Could you explain why this ...

A: Obtain the sum of first n positive integers as follows.The general formula to calculate the sum of f...

Q: Differential equations Consider the vectors x1(t) and x2(t) Please refer to attached image for vecto...

A: Obtain the Wronskian of the vectors as follows.

Q: 3.17 Use Laplace transforms to find the solution to the follow ing set of equations dt dy2 42 + 3y,-...

A: Set of equations given as,

Q: For an arbitrary integer, say A, verify that 2|A(A+1). Similarly, verify that 3|A(A+1)(A+2).

A: To verify:A(A+1) is divisible by 2.

Q: Use DeMorgan’s Laws to rewrite this statement without parentheses.~( p ∧ ~q ∨ ~r ∨ ~s ∧ t )

A: The given expression is ~( p ∧ ~q ∨ ~r ∨ ~s ∧ t ).

Q: y''+4y=g(x), y(0)=1, y'(0)=6, where g(x)={sin(x), 0&lt;_x&lt;_pi/2, 0, x&gt;pi/2 y(x)=?

A: To solve the differential equation with the given conditions.

Q: How much do you need to invest at the beginning of each of the next 60 months in order to have a val...

A: Since the given amount of $100,000 is deposited at beginning of each month, it is annuity due.Then c...

Q: I only need the explanation of number 9. I am not sure how to do it. Thanks

A: As per norms, the first three questins are answered. To determine the truth or falsity of the given ...

Q: Pls explain to me step by stepThanks

A: The given matrix is 

Q: solve (x^2y"-xy'+y=(x^2+1) using laplace transformsPlease show all your work, and do not use eulers ...

A: This is an exercise in solving differential equations by using Laplace transforms (and its propertie...

Q: Abstract algebra (proof writing):

A: To analyze the group structure of G/H , G , H as given

Q: Let z be a complex variable  z=x+iy question attached in pic

A: The problem concerns the evaluation of the given line integral along various paths  and to show that...

Q: Question attached as photo

A: To verify the values of the given definite integrals

Q: Given a matrix where α and β are non-zero complex numbers, find its eigenvalues and eigenvec- tors. ...

A: Click to see the answer

Q: Verify that x(t)= C1et+C2 is a solution to x"-x'=0. Find C1 and C2 so that x(t) satisfies x(0)=10 an...

A: The given differential equation is given by,

Q: hi

A: a)  Given that

Q: Section L.2 Chapter 1 16. A manufacturer must describe a dimensioned part according to its x & y coo...

A: To fill the given chart that locates the holes and points that defines the part.In the given diagram...

Q: Complex Analysis

A: For given function, First we will show the function is harmonic function as shown below :From the pa...

Q: Find the general solution to given set of first order equations. Please refer to image.

A: The given set of first order equation is,

Q: An experiment consists of tossing a coin seven times and observing the sequence of heads and tails1)...

A: Given:An experiment consists of tossing a coin seven times and the outcomes are the sequence of head...

Q: Abstract Algebra:   Prove or disprove, as appropriate: If G and H are cyclic groups, then G x H is a...

A: If the direct  product of two groups is cyclic, does it follow that each of them is cyclic?

Q: Abstract Algebra: Its a part 1 and 2 problem. Definitions are provided. I need some help on this pro...

A: To understand homomorphism from quotient groups

Q: Use the definition of Laplace Transforms to show that:

A: Given:L{cos(at)} = s/(s2 + a2)

Q: pls show me step by step an don't skip the step. thanks

A: To solve the given differential equation using matrix methods