consider the set A={ (n-m)(n+m) | n, m m ∈N, n>m} and B= {2^1+2^2+...+2^k | k∈N}....

Question

Question

consider the set A={ (n-m)(n+m) | n, m m ∈N, n>m} and B= {2^1+2^2+...+2^k | k∈N}....

consider the set A={ (n-m)(n+m) | n, m m ∈N*, n>m} and B= {2^1+2^2+...+2^k | k∈N*}.

Identify A∩ B

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

$A = {cn-m) (nom) In, meN nom} B = {2 + 2² + ... + 2h I RENKY. = { 2( 24 _1) | RENT = {2 (2²_1) | RENT = {212 2²2 (22 - 1) (2$ so, elements of B cannot be expressed as (n-m) Cm tn) where n, MENT 22 € N* 7 A and B do not have any element Common- - АОВ - Answer question

Add a comment

Answer 2

Similar Homework Help Questions

Consider the set of all functions from {1, 2, ..., m} to {1, 2, ..., n},...

Consider the set of all functions from {1, 2, ..., m} to {1, 2, ..., n}, where n > m. If a function is chosen from this set at random, what is the probability that it will be strictly increasing? (A) (n)/m”. (B) (%)/nm. () (min-1)/m". (D) (matema!)/n".
Let A be a set with m elements and B be a set with n elements...

Let A be a set with m elements and B be a set with n elements in it. -When is it possible to have a k-to-1 function f such that f : A → B? -Count the number of k-to-1 functions f such that f : A → B
Therom 1.8.2 n choose k = (n choose n-k) n choose k = (n-1 choose K)...

Therom 1.8.2 n choose k = (n choose n-k) n choose k = (n-1 choose K) + (n-1 choose K-1) 2n = summation of (n choose i ) please use the induction method (a) (10 pts) Show that the following equality holds: n +1 + 2 Hint: If you proceed by induction, you might want to use Theorem 1.8.2. If you search for a combinatorial proof, consider the set X - (i,j, k): 0 S i,j< k< n) (b) (10...

Consider the function 0 : 2+ + 2+ $(n) = number of integers k, 1 <k...

Consider the function 0 : 2+ + 2+ $(n) = number of integers k, 1 <k <n that are relatively prime with n (that is such that (k, n)-1) If n is a prime number º(n) = n n-1 O 1
1. Consider the function h:Z+ +Z+ defined by h(n) = l{k e Z+ : k|n}l. The...

1. Consider the function h:Z+ +Z+ defined by h(n) = l{k e Z+ : k|n}l. The bars around the set mean that we are taking the size of the set. Thus h(n) is the number of positive divisors of n. (a) Make a table of values for h(n) for 1 sn < 10. Write one or two sentences describing how you found the values in the table. (b) Find the value of h(90). Explain how you found your answer. (c)...
1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the...

1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the transfer function, H(s)-X(s)Fa(s) b) Using the transfer function, find the unit step response and the unit impulse response. c) Using the transfer function, find the steady-state response when fa(t) 2 sin (4t) d) Find the free response (zero-input response) assuming x(0) 2 m.

1. Suppose N is a set with n elements and M is a set with m...

1. Suppose N is a set with n elements and M is a set with m elements. a. If n <m, how many one-to-one functions are there from N to M? b. If n > m, how many onto functions are there from N to M?
2. Exercise 2. Consider the sequence (xn)n≥1 defined by xn = Xn k=1 cos(k) k +...

2. Exercise 2. Consider the sequence (xn)n≥1 defined by xn = Xn k=1 cos(k) k + n2 = cos(1) 1 + n2 + cos(2) 2 + n2 + · · · + cos(n) n + n2 . (a) Use the triangle inequality to prove that |xn| ≤ n 1 + n2 for all n ≥ 1. (b) Use (a) and the -definition of limit to show that limn→∞ xn = 0. Exercise 2. Consider the sequence (In)n> defined by cos(k)...
Consider N and the set S={x∈{0,...N-1}:gcd(x,N)=1} where k=|S| For a∈S, we define T={ax(modN):x∈S}. what is |T|? Answer may include N and k.

Consider N and the set S={x∈{0,...N-1}:gcd(x,N)=1} where k=|S| For a∈S, we define T={ax(modN):x∈S}. what is |T|? Answer may include N and k.

of S, namely, S- S = {m -n: m, n E S,m >n, is a set...

of S, namely, S- S = {m -n: m, n E S,m >n, is a set of recurrence. Hint: consider the proof of PRT. (b) Let R be a set of integers that contains arbitrarily long arithmetic progressions of the form {n, 2n, ..., kn}. Show that R is a set of recurrence.

consider the set A={ (n-m)(n+m) | n, m m ∈N, n>m} and B= {2^1+2^2+...+2^k | k∈N}....

Homework Answers

Add Answer to:
consider the set A={ (n-m)(n+m) | n, m m ∈N, n>m} and B= {2^1+2^2+...+2^k | k∈N}....

Post as a guest

Earn Coins

Consider the set of all functions from {1, 2, ..., m} to {1, 2, ..., n},...

Let A be a set with m elements and B be a set with n elements...

Therom 1.8.2 n choose k = (n choose n-k) n choose k = (n-1 choose K)...

Consider the function 0 : 2+ + 2+ $(n) = number of integers k, 1 <k...

1. Consider the function h:Z+ +Z+ defined by h(n) = l{k e Z+ : k|n}l. The...

1. Consider the system shown. Assume B-3 N-s/m and K-7 N/m. Negligible Mass a) Find the...

1. Suppose N is a set with n elements and M is a set with m...

2. Exercise 2. Consider the sequence (xn)n≥1 defined by xn = Xn k=1 cos(k) k +...

Consider N and the set S={x∈{0,...N-1}:gcd(x,N)=1} where k=|S| For a∈S, we define T={ax(modN):x∈S}. what is |T|? Answer may include N and k.

of S, namely, S- S = {m -n: m, n E S,m >n, is a set...

consider the set A={ (n-m)(n+m) | n, m m ∈N*, n>m} and B= {2^1+2^2+...+2^k | k∈N*}....

Homework Answers