222CHAPTER 5. ALGEBRAIC AND LOGICAL QUERY LANGUAGESA U.B | U.CV.B | V.CD46.210421178.3107231113612Figure 5.7: Result of a theta-outerjoin5.2.8 Exercises for Section 5.2Exercise 5.2.1: Here are two relations:R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)}S(B,С): {(0, 1), (2, 4), (2,5), (3,4), (0, 2), (3, 4)}Compute the following: a) TA+B,A²,B²(R); b) TB+1,C–1(S); c) TB,A(R);d) TB,c(S); e) S(R); f) 8(S); g) YA, SUK(B) (R); h) YB,AvG(C)(S);_ !i) YA(R);!j) YA,MAX(C) (R S); k) RůL S; 1) R&R S; m) RA S; n) RůR.B

Given: a. Compute πA+B, A2, B2R A B A+B A2 B2 0 1 1 0 1 2 3 5 4 9 0 1 1 0 1 2 4 6 4 16…

Exercise 5.2.1: Here are two relations: R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)} S(B,C): {(0,1), (2,4), (2,5), (3,4), (0,2), (3, 4)} Compute the following: а) ПА+В,А?, В2(R); b) тв+1,с-1(S); с) тв, A(R);

Exercise 5.2.1: Here are two relations: R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)} S(B,C): {(0,1), (2,4), (2,5), (3,4), (0,2), (3, 4)} Compute the following: а) ПА+В,А?, В2(R); b) тв+1,с-1(S); с) тв, A(R);

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 1E: Complete the proof of Theorem 5.30 by providing the following statements, where and are arbitrary...

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Question

222
CHAPTER 5. ALGEBRAIC AND LOGICAL QUERY LANGUAGES
A U.B | U.C
V.B | V.C
D
4
6.
2
10
4
2
11
7
8.
3
10
7
2
3
11
1
3
6
12
Figure 5.7: Result of a theta-outerjoin
5.2.8 Exercises for Section 5.2
Exercise 5.2.1: Here are two relations:
R(A, B): {(0,1), (2,3), (0,1), (2,4), (3,4)}
S(B,С): {(0, 1), (2, 4), (2,5), (3,4), (0, 2), (3, 4)}
Compute the following: a) TA+B,A²,B²(R); b) TB+1,C–1(S); c) TB,A(R);
d) TB,c(S); e) S(R); f) 8(S); g) YA, SUK(B) (R); h) YB,AvG(C)(S);_ !i) YA(R);
!j) YA,MAX(C) (R S); k) RůL S; 1) R&R S; m) RA S; n) RůR.B<S.B S.
O 5 0 0 N H

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