Question 2 Composite relations can be thought of as composite functions. If S is a relation from set A to B, and R from B to C, then composite relation Ro S passes an input acA first to S, then passes the return beB to R, and finally returns the output ceC, resulting in the set of pairs (acA, ceC). Relations R and S are shown below: • R= {(1,2), (2, 3), (2, 4), (3, 3), (4, 1)} • S = {(1,1), (1, 4), (2, 3), (2, 4), (3, 1), (4, 4)} Write the sets of pairs of composite relations (i) Ro R and (ii) Ro S.
Question 2 Composite relations can be thought of as composite functions. If S is a relation from set A to B, and R from B to C, then composite relation Ro S passes an input acA first to S, then passes the return beB to R, and finally returns the output ceC, resulting in the set of pairs (acA, ceC). Relations R and S are shown below: • R= {(1,2), (2, 3), (2, 4), (3, 3), (4, 1)} • S = {(1,1), (1, 4), (2, 3), (2, 4), (3, 1), (4, 4)} Write the sets of pairs of composite relations (i) Ro R and (ii) Ro S.
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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Transcribed Image Text:Question 2
Composite relations can be thought of as composite functions. If S is a relation from set A to B,
and R from B to C, then composite relation Ro S passes an input acA first to S, then passes the
return beB to R, and finally returns the output ceC, resulting in the set of pairs (acA, ceC).
Relations R and S are shown below:
• R = {(1,2), (2, 3), (2, 4), (3, 3), (4, 1)}
• S= {(1,1), (1, 4), (2, 3), (2, 4), (3, 1), (4, 4)}
Write the sets of pairs of composite relations (i) Ro R and (ii) Ro S.
Question 3
Let R and S be relations from A to B. Prove (R C S) = (R-1C s-1).
1
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