Problem 10. a. Construct of partition of N with exactly 4 elements and describe the equivalence...

Problem 10.

a. Construct of partition of N with exactly 4 elements and describe the equivalence relation defined by your partition. Remember the elements of a partition are sets.

b. Construct of partition of N with infinitely many elements and describe the equivalence relation defined by your partition.

c. Construct a partion of the plane with exactly 4 elements and describe the equivalence relation defined by your partition.

d. Construct a partion of the plane with infinitely many elements and describe the equivalence relation defined by your partition.

Expert Solution

Colby Messinger answered 10 months ago

Determine whether the given relation is an equivalence relation on the set. Describe the partition arising...

Determine whether the given relation is an equivalence relation on the set. Describe the partition arising from each equivalence relation. (c) (x1,y1)R(x2,y2) in R×R if x1∗y2 = x2∗y1.

Let f(n,k) be the number of equivalence relations with k classes on set with n elements....

Let f(n,k) be the number of equivalence relations with k classes on set with n elements. a) What is f(2,4)? b) what is f(4,2)? c) Give a combinational proof that f(n,k) = f(n-1,k-1)+k * f(n-1,k)

Chicken McNuggets come in 4, 7, and 10-piece boxes. If you want exactly N nuggets, is...

Chicken McNuggets come in 4, 7, and 10-piece boxes. If you want exactly N nuggets, is there a combination of boxes that you can order to get exactly ? What is a combination that will work?Write a MATLAB function that when you give it N it returns if N is a McNugget number and what combination (of the 4, 7 10 boxes) will give you that number.

[10 pts] Consider an instance of the stable marriage problem for n = 4, with the...

[10 pts] Consider an instance of the stable marriage problem for n = 4, with the men asM = {m1, m2, m3, m4} and the women as W = {w1, w2, w3, w4}. Consider the following preferences (each list is ranked from first to last choice): men’s preferences m1 :w1 >w2 >w3 >w4 m2 :w2 >w3 >w1 >w4 m3 :w3 >w1 >w2 >w4 m4 :w1 >w2 >w3 >w4 women’s preferencesw1 :m2 >m3 >m4 >m1w2 :m3 >m4 >m1 >m2w3 :m4 >m1...

Describe the set of all unit tight frames with exactly ﬁve vectors, up to PRR-equivalence.

Design a Turing Machine to construct the function f(n) = 4 [1/4 n] + 2, (that...

Design a Turing Machine to construct the function f(n) = 4 [1/4 n] + 2, (that is, 2 more than 4 times the integer part of 1/4 n) for n Element N. Do not just produce a TM, but also describe briefly how it works. There is a TM in the Cooper notes that does something similar. You may modify it to produce the required TM, or produce a machine totally independently.

Describe a way to use recursion to add all the elements in a n × n...

Describe a way to use recursion to add all the elements in a n × n (two dimensional) array of integers (java)

Prove that for every n ∈ N: a) (10^n + 3 * 4^(n+2)) ≡ 4 mod...

Prove that for every n ∈ N: a) (10^n + 3 * 4^(n+2)) ≡ 4 mod 19, [note that 4^3 ≡ 1 mod 9] b) 24 | (2*7^(n) + 3*5^(n) - 5), c) 14 | (3^(4n+2) + 5^(2n+1) [Note that 3^(4n+2) + 5^(2n+1) = 9^(2n)*9 + 5^(2n)*5 ≡ (-5)^(2n) * 9 + 5^(2n) *5 ≡ 0 mod 14]

1. If n=10, (x-bar)=35, and s=4, construct a confidence interval at a 90% confidence level. Assume...

1. If n=10, (x-bar)=35, and s=4, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place: __ < μ < __ 2. If n=24, (x-bar)=36, and s=6, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place: __ < μ <__ 3. If n=19, (x-bar)=32, and s=3, construct a confidence...

If n = 15, ¯ x = 30, and s = 10, construct a confidence interval...

If n = 15, ¯ x = 30, and s = 10, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places. answer ___ < μμ < ____ answer

Question