please answer Define the sets A, B, C, D, and E as follows:• A = {x € R: x < -2-2}•B = {x € R: x > 2}E• C = {x € R: |x| <2}E• D = {x € R: |x| ≤ 2}• E = {x € R: x ≤ -2}Use the definitions for A, B, C, D, and E to answer the question:Do the sets A, B, and C form a partition of R? If not, which condition of a partition is notsatisfied?No. AU BUC # R because 2, -2 & Au Bu C.No. Because Au BUC = RYes. A u BuC # R because 2, -2# AU BU C.Yes. A u Bu C =R because 2, -2 & Au Bu C.U

Given, A=x∈R:x<-2 A is the set of all real numbers x such that x is less than -2. In interval…

Answered: Define the sets A, B, C, D, and E as…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Suppose that a manufacturing company builds n different types of robots, sayrobots 1, 2, . . . , n. These robots are made from a common set of m types of materials, saymaterials 1, 2, . . . , m. The company has only a limited supply of materials for each year,the amount of materials 1, 2, . . . , m are limited by the numbers b1, b2, . . . , bm, respectively.Building robot i requires an aij amount from material j. For example, building robot 1requires a11 from material 1, a12 from material 2, etc. Suppose the profit made by sellingrobot i is pi. Write an integer linear program for maximizing the annual profit for thecompany
Imagine Circle Country as an infinite plane. You are given int[] x and int[] y and int[] r, where (x[i],y[i]) are the coordinates of the i-th district's center and r[i] is its radius. Zara is currently at point (x1,y1) and she needs to get to point (x2,y2). Neither of these points lies on a district border. Return the minimal number of district borders she must cross to get to her destination. Constraints x will contain between 1 and 50 elements, inclusive. x, y and r will each contain the same number of elements. Each element of x and y will be between -1000 and 1000, inclusive. Each element of r will be between 1 and 1000, inclusive. x1, y1, x2 and y2 will be between -1000 and 1000, inclusive. No two circumferences will have common points. The points (x1,y1) and (x2,y2) will not lie on any of the circumferences.
Consider a system that handles railway connections as it associates (source) cities to all their corresponding destinations. The requirements of the system are as follows: 1. A source city may have connections to possibly multiple destination cities. 2. Multiple source cities may share the same group of destination cities. We introduce type CITY . A possible state of the system is shown below as it is captured by variable connections:connections ={Montreal → {Ottawa, Kingston, Quebec, Halifax},Ottawa → {Montreal, Toronto},Toronto → {Montreal, Ottawa},Halifax → {Montreal, Quebec},Quebec → {Montreal, Halifax},Kingston → {Montreal}} 1. Is connections a binary relation? Explain why, and if so express this formally. 2. In the expression connections ∈ (...), what would the RHS be? 3. Is connections a function? If so, define the function formally, and reason about the properties of injectivity, surjectivity and bijectivity. 4. Describe the meaning and evaluate the following…
Given R=ABCDEFGand F = {CF→B, B→C, FB→E, CBE→F, E→AG, FA→B,BG→FE, BA→CG}The following is a minimal cover: A. (CFD, FBD, BED, BAD, BDG) B. CFD→BEAG C. CF→B, FB→E, E→AG, FA→B, BA→G D. CF→B, B→C, FB→E, E→AG, FA→B, BG→F, BA→G
Logic example question If I have (∀ y)(P(y) → P(b)) Would an example of this being true be for all real numbers greater than 0 - y is evenly divisible by 9 and b is evenly divisible by 3 The false interpretation would be for P(b) to be true whether x is true or not. I cannot think of a domain and conditions where this could be true. I was hoping you could help me get unstuck.
Please answer the following question in depth with full detail. Consider the 8-puzzle that we discussed in class. Suppose we define a new heuristic function h3 which is the average of h1 and h2, and another heuristic function h4 which is the sum of h1 and h2. That is, for every state s ∈ S: h3(s) =h1(s) + h2(s) 2 h4(s) =h1(s) + h2(s) where h1 and h2 are defined as “the number of misplaced tiles”, and “the sum of the distances of the tiles from their goal positions”, respectively. Are h3 and h4 admissible? If admissible, compare their dominance with respect to h1 and h2, if not, provide a counterexample, i.e. a puzzle configuration where dominance does not hold.
Three persons P1, P2, and P3 were invited by their friend F to make some smørbrød (sandwich made of bread, eggs, and tomato) together. To make a portion of smørbrød, three ingredients are needed: a slice of bread, a slice of tomato, and a slice of an egg. Each of these persons P1, P2, P3 has only one type of each of the ingredients: person P1 has slices of bread person P2 has slices of tomato; person P3 has slices of egg. We assume that persons P1, P2, and P3 each has an unlimited supply of these ingredients (i.e., slices of bread, slices of tomato, slices of egg), respectively. Their friend F, who invited them, also has an unlimited supply of all the ingredients. Here is what happens: the host F puts two random ingredients on the table. Then the invited person who has the third ingredient picks up these other two ingredients, and makes the smørbrød (i.e., takes a slice of bread, puts on it a slice of tomato, and puts on top a slice of egg), and then eats the smørbrød. The host of…
Prolog Consider the (directed) network in the attached document. We could represent this network with the following Prolog statements: link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Now, given this network, we say that there is a "connection" from a node "X" to a node "Y" if we can get from "X" to "Y" via a series of links, for example, in this network, there is a connection from "a" to "d", and a connection from "c" to "f", etc. Formulate the appropriate Prolog rule "connection(X,Y)" which is true if (and only if) there is a "connection" from "X" to "Y" as described above --- note that this rule will be recursive. Test this rule out on the above network, to see if it is working correctly. Once it is working correctly, you will note that, e.g., the query "connection(a,e)." will give "true" multiple times. This means something, actually:
If sets A={10,20,30,40} B ={30,40,50,60} C= {50,60,70} U = {10,20,30,40,50,60,70}What is the cardinality of A? DO NOT FORGET TO ENCLOSE YOUR ANSWERS IN A BRACKET { } IF IT IS A SET.
Big-O notation is defined as follows: The function f(n) is O(g(n)) if there are positive integers c and N such that f(n) ≤ c · g(n) for all n > N. Is the relation “f(n) is O(g(n))” reflexive? symmetric? transitive? Justify your answers. “Θ(g(n))” is defined as follows: f(n) is Θ(g(n)) if and only if (f(n) is O(g(n)) & g(n) is O(f(n))). Is the relation “f(n) is Θ(g(n))” reflexive? symmetric? transitive? Justify your answers
Consider the set F = {1, −1, i, −i} with an operation ✕ defined by the table. ✕ 1 −1 i −i 1 1 −1 i −i −1 −1 1 −i i i i −i −1 1 −i −i i 1 −1 a ✕ b means find the entry in row a and column b; for example, −1 ✕ (−i) = i (the entry in row −1 and column −i). Find each of the following. (a) −1 ✕ i (b) i ✕ i (c) −i ✕ i (d) −i ✕ 1 (e) 1 ✕ i (f) −i ✕ −i
Suppose propositional sentences and knowledge-base here. We have a knowledge-base called KB. KBPrime is defined as an union of (1) KB and (2) the negation of a propositional predicate P. Answer true/false to the following questions. Note that "|=" is used to denote entailment, and "|-" is used to denote derivation through resolution. a) If KB |= P, then KB |- P. That is, if KB entails P, then KB derives (using resolution) P. b) If KB |- P, then KB |= P. c) If KBPrime |- [], then KBPrime is not satisfiable. d) If KBPrime is not satisfiable, then KBPrime |- [].

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