![21. Indicate whether each of the statements is T or F. Explain the reason. (12 pts) c) Vm E Z*,n E Z4 [n |m ^ gcd(m,n) 1] _](http://img.homeworklib.com/images/9be4c15a-08db-4948-90e7-77986e842236.png?x-oss-process=image/resize,w_560)
Homework Answers
obviously a false statement
note that if gcd(m,n)=1 that means numbers are co-prime (relatively prime)
that means they don't share a common factor that means n doesn't divide m for any positive integer n
therefore for all positive integer m there doesn't exist any positive integer n such that n|m and gcd(m,n)=1
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21. Indicate whether each of the statements is T or F. Explain the reason. (12 pts) c) Vm E Z*,n E Z4 [n |m ^ gcd(m,n)...
3) (21 pts) n:1 Z4) = 200 cos (377 t) Pawer in Rzasr, PRzg=49W Find n...
3) (21 pts) n:1 Z4) = 200 cos (377 t) Pawer in Rzasr, PRzg=49W Find n Lello
1. (10 pts) For each of the following pairs of functions, indicate whether f = 0(g),...
1. (10 pts) For each of the following pairs of functions, indicate whether f = 0(g), f = Ω(g), or both (in which case f-6(1). You do not need to explain your answer. f(n) (n) a) n (b) n-1n+1 (c) 1000n 0.01n2 (d) 10n2 n (lg n)2 21 е) n (f) 3" (g) 4" rl. 72 i-0 2. (12 pts) Sort the following functions by increasing order of growth. For every pair of consecutive functions f(n) and g(n) in the...
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give fo...
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c)
Example 3.7 We have A (3m|1 m
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give fo...
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c)
Example 3.7 We have A (3m|1 m
For the following six questions, indicate whether the following statements are true or false. In each...
For the following six questions, indicate whether the following statements are true or false. In each case give a reason for your answer. Problem 13 [10 pts) If L:V +W is a linear transformation of vector spaces and U CW is a subspace of W, then {v € V | L(v € U} CW is a subspace of V. Problem 14 (10 pts) The set {A E R2x2 | A is nonsingular} is a subspace of R2x2. Problem 15 (10...
Atomic number c. Valance electrons d. Orbits e. Neutrons Indicate whether each of the following statements...
Atomic number c. Valance electrons d. Orbits e. Neutrons Indicate whether each of the following statements about atomic structure is true or false. a. A neutral oxygen atom has 8 electrons located in 2 different electron orbitals. T/F b. Hydrogen has only one neutron and no protons in its nucleus. T/F c. Almost all of the mass of an atom is concentrated in its electrons. T/F d. The reactivity or chemical behavior of an atom depends primarily on the number...
Indicate whether each of the following statements is true (T) or false (F). e. An advantage...
Indicate whether each of the following statements is true (T) or false (F). e. An advantage of the corporate form of business is double taxation on the corporation’s earnings. i. In accounting, the word “net” is often used when describing the difference between two different amounts. j. Dividends are considered to be an expense of doing business. k. Corporations engage in three primary types of business activities – financing, investing, and operating. p. GAAP is primarily established by the Internal...
9·Let m, n E Z+ with (m, n) 1. Let f : Zmn-t Zrn x Zn...
9·Let m, n E Z+ with (m, n) 1. Let f : Zmn-t Zrn x Zn by, for all a є z /([a]mn) = ([a]rn , [a]n). (a) Prove that f is well-defined. (b) Let m- 4 and n - 7. Find a Z such that f ([al28) (34,(517). (c) Prove that f is a bijection.2 (HINT: To prove that f is onto, given (bm, [cm) E Zm x Zn, consider z - cmr + bns, where 1 mr +ns.)
Question 3 please + (20) 3. Indicate whether the reasoning of each of the following statements...
Question 3 please
+ (20) 3. Indicate whether the reasoning of each of the following statements is correct or incorrect. Explain why or why not in each case. (Note: For an "if-then" statement, you do not need to verify that the hypothesis of the statement is true, nor come to any final conclusion ab f(x) is irreducible. Just indicate whether the conclusion correctly follows from the assumptions.) a) f(x) = +422 - 2x - 20 is irreducible in Qlx) by...
program C 1. (12 pts) Assume that m and mare int variables and z is a...
program C
1. (12 pts) Assume that m and mare int variables and z is a float variable. What is the value of each variable after the following scanf is called? scanf("%d%f%d", &m, &z, &n); Suppose the user enters: 1.23 4.56 78.9
3) (21 pts) n:1 Z4) = 200 cos (377 t) Pawer in Rzasr, PRzg=49W Find n Lello
1. (10 pts) For each of the following pairs of functions, indicate whether f = 0(g), f = Ω(g), or both (in which case f-6(1). You do not need to explain your answer. f(n) (n) a) n (b) n-1n+1 (c) 1000n 0.01n2 (d) 10n2 n (lg n)2 21 е) n (f) 3" (g) 4" rl. 72 i-0 2. (12 pts) Sort the following functions by increasing order of growth. For every pair of consecutive functions f(n) and g(n) in the...
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c)
Example 3.7 We have A (3m|1 m
Example 3.7 We have A (3m|1 m < 12},B = {2n|1 <n< 8},C = {m e Z* gcd(m, 36) = {4k|3 < k 9 1} Please give following sets: а) (А — В)UC b) c)
Example 3.7 We have A (3m|1 m
For the following six questions, indicate whether the following statements are true or false. In each case give a reason for your answer. Problem 13 [10 pts) If L:V +W is a linear transformation of vector spaces and U CW is a subspace of W, then {v € V | L(v € U} CW is a subspace of V. Problem 14 (10 pts) The set {A E R2x2 | A is nonsingular} is a subspace of R2x2. Problem 15 (10...
Atomic number c. Valance electrons d. Orbits e. Neutrons Indicate whether each of the following statements about atomic structure is true or false. a. A neutral oxygen atom has 8 electrons located in 2 different electron orbitals. T/F b. Hydrogen has only one neutron and no protons in its nucleus. T/F c. Almost all of the mass of an atom is concentrated in its electrons. T/F d. The reactivity or chemical behavior of an atom depends primarily on the number...
9·Let m, n E Z+ with (m, n) 1. Let f : Zmn-t Zrn x Zn by, for all a є z /([a]mn) = ([a]rn , [a]n). (a) Prove that f is well-defined. (b) Let m- 4 and n - 7. Find a Z such that f ([al28) (34,(517). (c) Prove that f is a bijection.2 (HINT: To prove that f is onto, given (bm, [cm) E Zm x Zn, consider z - cmr + bns, where 1 mr +ns.)
Question 3 please
+ (20) 3. Indicate whether the reasoning of each of the following statements is correct or incorrect. Explain why or why not in each case. (Note: For an "if-then" statement, you do not need to verify that the hypothesis of the statement is true, nor come to any final conclusion ab f(x) is irreducible. Just indicate whether the conclusion correctly follows from the assumptions.) a) f(x) = +422 - 2x - 20 is irreducible in Qlx) by...
program C
1. (12 pts) Assume that m and mare int variables and z is a float variable. What is the value of each variable after the following scanf is called? scanf("%d%f%d", &m, &z, &n); Suppose the user enters: 1.23 4.56 78.9
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