. (a) Prove or disprove carefully and in detail: (i) Θ is transitive and (ii) ω is transitive. (b) Assume n is a positive integer. Algorithm A(n: int) int z = 0; int temp = 0; for (int i = 0; i < n ; i++) { for (int j = 0 ; j < i ; j++) { int temp = i + j ; int z = z + temp; } } System. out. println(z) ; What is the input size for Algorithm A? Analyze carefully and explicitly the time complexity of A in terms of the input size. Show all steps. Is A a polynomial time algorithm? Justify your answer.

Signal sets company contracts to deliver one hundred 52-inch plasma high-definition television sets to a new retail customer, tuner tv store, on may 1, with payment to be made on delivery. signal tenders delivery in its own truck. tuner's manager notices that some of the cartons have scrape marks. tuner's owner phones signal's office and asks whether the sets might have been damaged as they were being loaded. signal assures tuner that the sets are in perfect condition. tuner tenders signal a check, which signal refuses, claiming that the first delivery to new customers is always for cash. tuner promises to pay the cash within two days. signal leaves the sets with tuner, which stores them in its warehouse pending its "grand opening sale" on may 15. two days later, tuner's stocker opens some of the cartons and discovers that a number of the sets are damaged beyond ordinary repair. signal claims tuner has accepted the sets and is in breach by not paying on delivery. will signal succeed on these claims? explain.

How would you categorize the software that runs on mobile devices? break down these apps into at least three basic categories and give an example of each.

What does the level 1 topic in a word outline become in powerpoint? a. first-level bullet item b. slide title c. third-level bullet item d. second-level bullet item