Let P(x, y) be a binary predicate where the type of x is A and the type of y is B. We define the projection π1(P) to be the unary predicate on A defined as follows: π1(P)(x) is true if and only if there exists an element y of B such that P(x, y) is true. Similarly, π2(P) is the unary predicate on B defined so that π2(P)(y) is true if and only if there exists an element x of A such that P(x, y) is true. a. Let A = B = {0, 1, 2, 3} and define P(x, y) to mean "x < y". Describe π1(P) and π2(P) as both predicates and relations.
b. What can you say about the predicate P if you know that π1(P) and π2(P) are each always false? What if they are each always true?
c. Suppose you are given a boolean method isInP(int x, int y) where each of x and y are restricted to the range from 0 through LENGTH - 1. Write boolean methods that will return the value of the predicates π1(P) and π2(P), given appropriate input

You have been supporting csm tech publishing's windows server 2016 server network for over a year. the office has two windows server 2016 servers running active directory and a number of other roles. management has informed you that a small sales office is opening in the same building three floors up. the sales manager wants to install a sales application on a server located in the sales office. this server will have limited physical security because there's no special room dedicated for it, which means it will be accessible to non-it personnel and visitors. you're considering installing windows server 2016 server core on the new server because accessing its console regularly probably won't be necessary, and this server will be managed from one of the other csm tech publishing servers. what are the benefits and drawbacks of using server core for this branch office? what are some things you should do to set up this server management environment?

Whats three fourths of 15(this is supposed to be in math but i clicked too fast)

Now, open this passage to read about fafsa requirements. describe the information you will need to provide in order to complete a fafsa. list at least three of the required documents you must include.