please explain how Z-{0} specifically is the answer.
please explain how Z-{0} specifically is the answer. Consider the following propositions over the integers N....
Please only do C. Explain why the answer is correct. If the answer is not correct explain the right way thank you. Consider the following propositions over the integers N. • p:n is a divisor of 12 • q: n is even What are the truth sets of a)p b) p 1 a c) p +9 For finite sets you can list the elements, but for infinite sets (if there are any) use set builder notation. Be sure to show...
8. Define (n) to be the number of positive integers less than n and n. That is, (n) = {x e Z; 1 < x< n and gcd(x, n) = 1}|. Notice that U (n) |= ¢(n). For example U( 10) = {1, 3,7, 9} and therefore (10)= 4. It is well known that (n) is multiplicative. That is, if m, n are (mn) (m)¢(n). In general, (p") p" -p Also it's well known that there are relatively prime, then...
Problem 22: Which of the following sets are countable? 1. N × Z 2. Q x Q x Q 3. R x R 4.(pe N p prime 7. Set of all infinite sequences of zeroes and ones. Problem 22: Which of the following sets are countable? 1. N × Z 2. Q x Q x Q 3. R x R 4.(pe N p prime 7. Set of all infinite sequences of zeroes and ones.
Please answer question 1 and 2. (1) Let p, q be propositions. Construct the truth table for the following proposition: (2) Let X be the set of all students in QC and let Y be the set of all classes in the Math Department available for QC students in the Fall 2019. Leyt P(z, y) be the proposition of the course y. Write down the following propositions using quantifiers: e Some QC students read the description of each course in...
Which of the following correctly describes the set {2n|n e Z}? Select the correct answer below: The set of all odd integers The set of all integers greater than 2. The set of all real numbers greater than 2. The set of all even integers.
#7. TRUE/FALSE. Determine the truth value of each sentence (no explanation required). ________(a) k in Z k2 + 9 = 0. ________(b) m, n in N, 5m 2n is in N. ________(c) x in R, if |x − 2| < 3, then |x| < 5. #8. For each statement, (i) write the statement in logical form with appropriate variables and quantifiers, (ii) write the negation in logical form, and (iii) write the negation in a clearly worded unambiguous English sentence....
Please answer the following question fully and in detail! Consider a Bertrand duopoly with two firms 1,2 who sell the same good. The demand curve of the good is given by Q = 30 − p if p < 30 and Q = 0 if p ≥ 20. Both firms have the same constant unit cost 5. Firms 1,2 set prices p1, p2. If firms set different prices, then the firm which sets the minimum price of the two, receives...
Please answer the following question fully and in detail! Consider a Bertrand duopoly with two firms 1,2 who sell the same good. The demand curve of the good is given by Q = 15 − p if p < 15 and Q = 0 if p ≥ 15. Both firms have the same constant unit cost 2. Firms 1,2 set prices p1, p2. If firms set different prices, then the firm which sets the minimum price of the two, receives...
please help me make this into a contradiction or a direct proof please. i put the question, my answer, and the textbook i used. thank you also please write neatly proof 2.5 Prove har a Simple sraph and 13 cdges cannot be bipartite CHint ercattne gr apn in to ertex Sets and Court tne忤of edges Claim Splitting the graph into two vertex, Sets ves you a 8 Ver ices So if we Change tne书 apn and an A bipartite graph...
1 1 point Consider the following algorithm for factoring an integer N provided as input (in binary): For i = 2 to [VN.17 i divides N, then output (i, N/). Which of the following statements is true? This algorithm is correct, but it runs in exponential time. This algorithm is not correct, because it will sometimes fail to find a factorization of Neven if N is composite This algorithm runs in sub-linear time, and always factors N it Nis composite...