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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);

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Figure 5.7: Result of a Theta-Outerjoin** The table illustrates the result of a theta-outerjoin operation, with columns labeled \(A\), \(U.B\), \(U.C\), \(V.B\), \(V.C\), and \(D\). The data is organized as follows: - Row 1: 4, 5, 6, 2, 3, 10 - Row 2: 4, 5, 6, 2, 3, 11 - Row 3: 7, 8, 9, 2, 3, 10 - Row 4: 7, 8, 9, 2, 3, 11 - Row 5: 1, 2, 3, ⊥, ⊥, ⊥ - Row 6: ⊥, ⊥, ⊥, 6, 7, 12 **5.2.8 Exercises for Section 5.2** **Exercise 5.2.1:** Here are two relations: \(R(A, B): \{(0, 1), (2, 3), (0, 1), (2, 4), (3, 4)\}\) \(S(B, C): \{(0, 1), (2, 4), (2, 5), (3, 4), (0, 2), (3, 4)\}\) Compute the following: a) \(\pi_{A+B,A^2,B^2}(R);\) b) \(\pi_{B+1,C-1}(S);\) c) \(\tau_{B,A}(R);\) d) \(\tau_{B,C}(S);\) e) \(\delta(R);\) f) \(\delta(S);\) g) \(\gamma_{A, \text{SUM}(B)}(R);\) h) \(\gamma_{B, \text{AVG}(C)}(S);\) i) \(!\gamma_{A}(R);\) j) \(\gamma_{A, \text{MAX}(C)}(R \bowtie S);\) k) \(R \bowtie_L S;\) l) \(R \bowtie_R S;\) m
Transcribed Image Text:**Figure 5.7: Result of a Theta-Outerjoin** The table illustrates the result of a theta-outerjoin operation, with columns labeled \(A\), \(U.B\), \(U.C\), \(V.B\), \(V.C\), and \(D\). The data is organized as follows: - Row 1: 4, 5, 6, 2, 3, 10 - Row 2: 4, 5, 6, 2, 3, 11 - Row 3: 7, 8, 9, 2, 3, 10 - Row 4: 7, 8, 9, 2, 3, 11 - Row 5: 1, 2, 3, ⊥, ⊥, ⊥ - Row 6: ⊥, ⊥, ⊥, 6, 7, 12 **5.2.8 Exercises for Section 5.2** **Exercise 5.2.1:** Here are two relations: \(R(A, B): \{(0, 1), (2, 3), (0, 1), (2, 4), (3, 4)\}\) \(S(B, C): \{(0, 1), (2, 4), (2, 5), (3, 4), (0, 2), (3, 4)\}\) Compute the following: a) \(\pi_{A+B,A^2,B^2}(R);\) b) \(\pi_{B+1,C-1}(S);\) c) \(\tau_{B,A}(R);\) d) \(\tau_{B,C}(S);\) e) \(\delta(R);\) f) \(\delta(S);\) g) \(\gamma_{A, \text{SUM}(B)}(R);\) h) \(\gamma_{B, \text{AVG}(C)}(S);\) i) \(!\gamma_{A}(R);\) j) \(\gamma_{A, \text{MAX}(C)}(R \bowtie S);\) k) \(R \bowtie_L S;\) l) \(R \bowtie_R S;\) m
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