When we insert a tuple into R, the trigger may cause another tuple to be inserted, which may cause yet another tuple to be inserted, and so on, until finally a tuple is inserted that does not cause the trigger to fire. Your problem is to examine the behavior of this trigger and determine under what circumstances exactly three tuples are inserted. Demonstrate your understanding by identifying, from the list below, which of the following tuples, if inserted into an initially empty relation R, results, after all instances of the trigger are allowed to execute, in exactly three tuples being present in R(a, b)? a) (3,8)
b) (2,9)
c) (11,1)
d) (50,0)

Some of your friends have gotten into the burgeoning field of time-series data mining, in which one looks for patterns in sequences of events that occur over time. purchases at stock exchanges--what’s being bought-- are one source of data with a natural ordering in time. given a long sequence s of such events, your friends want an efficient way to detect certain "patterns" in them--for example, they may want to know if the four events buy yahoo, buy ebay, buy yahoo, buy oracle occur in this sequence s, in order but not necessarily consecutively. they begin with a collection of possible events (e.g., the possible’ transactions) and a sequence s of n of these events. a given event may occur multiple times in s (e.g., yahoo stock may be bought many times in a single sequence s). we will say that a sequence s’ is a subsequence of s if there is a way to delete certain of the events from s so that the remaining events, in order, are equal to the sequence s’. so, for example, the sequence of four events above is a subsequence of the sequence buy amazon, buy yahoo, buy ebay, buy yahoo, buy yahoo, buy oracle their goal is to be able to dream up short sequences and quickly detect whether they are subsequences of s. so this is the problem they pose to you: give an algorithm that takes two sequences of even~s--s’ of length m and s of length n, each possibly containing an event more than once--and decides in time o(m n) whether s’ is a subsequence of s

Me ! evelyn is a manager in a retail unit. she wants to prepare a report on the projected profit for the next year. which function can she use? a. pmt b. round c. division d. what-if analysis

What are loans to a company or government for a set amount of time