Consider the following five relations on the set A = {1, 2, 3, 4}. Determine which of the * .relations are reflexive R2 = {(1, 1)(1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} R4 = A x A R1 = {(1, 1), (1, 2), (2, 3), (1, 3), (4, 4)} R3 = {(1, 3), (2, 1)} %3D

Consider the following five relations on the set A = {1, 2, 3, 4}. Determine which of the * .relations are reflexive R2 = {(1, 1)(1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} R4 = A x A R1 = {(1, 1), (1, 2), (2, 3), (1, 3), (4, 4)} R3 = {(1, 3), (2, 1)} %3D

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

See similar textbooks

Related questions

Q: Define two sets: a letter set A = {t. p. c) and a word set B = {proposition, math, proof, discrete).…

Q: Given a set of FDs for the relation schema R(C, A, N, D, Y) with the candidate keys (CN), (DN)). •…

A: Functional Dependency It is a constraint that determines the relation of 1 attribute to some other…

Q: the primary key for R, and every tuple in R matches 5 tuples in S There exists a primary index on…

A: The relation is explained as,

Q: The relation R(A,B,C,D,E) has the following functional dependencies. A, B --> C B, C --> D C, D…

A: Answer for (A) and (B):

Q: Consider a relation with schema R(A,B,C,D,E,G) and functional dependencies (FDs) C→D; B→A; D→E; E→G…

A: Answer is given below .

Q: n with attributes A1, A2, ..., An. As a function of n, tell how many superkeys R has, if The only…

A: Introduction A super key is an attribute (or combination of attributes) that is used to identify…

Q: Consider the issue of interesting orders in optimization. Suppose you are given a query that…

A: The interesting order is every order on the subsets of the attributes which can potentially take…

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6,…

A: Suppose you have a pair of two numbers. You have to find the pairs were a%b = 0 For the given sets,…

Q: The relation R(A, B, C, D, E) has the following functional dependencies. А, В - С В, С -> D C, D→E…

A: Attached Solution for (a) and (b) part:

Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributes declared as not…

A: Natural join:- 1. Natural join joins two data sets based on the same attributes names and datatypes.…

Q: Consider the relations r1(A, B, C), r2(C, D, E), and r3(E, F), with primary keysA, C, and E,…

A: Consider the relations r1(A, B, C), r2(C, D, E), and r3(E, F), with primary keysA, C, and E,…

Q: Find a minimal cover in a standard form for the relation schema R(A, B,C, D, E, F, G, H) with the…

A: A minimal cover or canonical cover means a minimum set of functional dependencies. A canonical cover…

Q: Let R be a relation on A = (0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

A: Let R be a relation on A = {0, 1,7,9). If (7,9) ER, what must NOT be an element of R for R to be…

Q: For example, let A = {1, 2, 3} then Cartesian product A × A = {(1,1), (1,2), (1,3), (2,1), (2,2),…

A: Brief explanation about Reflexive, Symmetric and Transitive is presented here:-

Q: A relation, R, on non-empty set A is defined as a subset of A × A: R ⊆ A × A For example, let A…

A: Binary Relation definition A binary relation R from set A to set B is a subset of the Cartesian…

Q: 8. Consider the following relation instance of the CAR relation schema: CAR Model #cylinders Origin…

A: Actually, database is a used to stores the data.

Q: Consider the following Relation instance of R1(A, B, C, D): A D Null Null 1 Null Null 1 1 Null 1 2 4…

A: A relation stores data about entities using database languages. The structure of a relation is…

Q: List the ordered pairs in the relation R from A = 0,1, 2, 3, 4, B = 1, 2, 3, 4, 5, where Ris defined…

A: answer to the question is in step2 where a=2b.

Q: Consider the relation schema R(A, B, C, D, E, F) with the following set of tional dependencies FDs F…

A: We are given a relation schema and it is decomposed into several schemas. We are going to find out…

Q: Suppose a relation schema R = (A, B, C, D) is decomposed into following relations R1(A,B,C) and…

A: A relation schema R is decomposed into R1 and R2

Q: d has 10 tuples per block Relation S contains 10,000 tuples and has 10 tuple

A: The cost plan is given as,

Q: Problem 1 Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c,…

A: 2NF: A relation is in 2NF if it is already in 1NF and all functional dependencies should be full…

Q: Consider a relation schema R = {A, B, C, D, E, F, G} with the following set of %3D functional…

A: In this question, we have a relation schema R along with its functional dependencies F. Also given 4…

Q: The reflexive and transitive closure of the relation A = {(0,1),(1,2)} on B = {0,1,2} is…

A: Here in this question we have given a relation on some set B. and we have asked to find the…

Q: Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c, a, f, k, p,…

A: Solution :: functional dependencies: p-->j,m; b-->l; h-->g; n-->p; n-->o;…

Q: Let Ri and R2 be the relations on (1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 = {(1,1),…

A: we will discuss the composition of the given relation in the next step

Q: Let's suppose, a relation R=(A, B, C, D, E. H) with a set of functional dependencies F: (AE->BC, B…

A: Functional dependency is a DBMS concept . In this attributes of relations are dependent on each…

Q: Consider thne universal relation R (AB. E F, G, H, I. JJ and the set of functional dependencies F =…

A: A functional dependency x->y is said to be partial functional dependency if X is part of key or…

Q: Suppose you are given a relation R-(A,B,C,D,E) with the following functional dependencies:…

A: Relation R which is defined functional dependencies

Q: Consider the relation R with the following functional dependencies: R(P,Q, R, D, E, F) FD = {P >…

A: Answer: Option (d) PEF, QFR

Q: Suppose RR is a relation with attributes A1,A2,…,AnA1,A2,…,An. How many superkeys will RR have if…

A: Given RR is a relation with attributes A1,A2,…,An a) The only candidate key is A1 b) The only…

Q: Write a C program that would: - Let the users accept a relation. - Input options should be in…

A: The C language is a computer programming language which was developed to do system programming for…

Q: Apply algorithm 4.1.2 in P.140 with T=63, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the…

A: T=63, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). A[1]=3, A[2]=5 , A[3]=8, A[4]=8,…

Q: You are given a binary relation R (defined below) on A. Each tuple (a, b) indicates that a is…

A: Hey there, I am writing the required solution based on the above given question. Please do find the…

Q: Consider the following sets: A={2,4,5} B = {4,9,10,12} C = {1,3,8,9,10,12,14} I)…

A: Answer: Given that A = { 2,4,5 } B = {4,9,10,12} C = {1,3,8,9,10,12,14} Here we will get for AUB is…

Q: 2.Consider relation R=(A,B,C,D) with the following FDs: B → C, C → D, and D → A a. List all…

A: 2. Given, Relation is R = (A, B, C, D) The set of functional dependencies given is : B -> C C…

Q: Given: Relation R = {(a,a), (a.b), (b,a). (b,b). (c,c)} and Set S = {a, b, c} Complete Relation R…

A: Find the answer given as below :

Q: 5. Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 =…

A: Question 5: a)The elements of R1°R2 and R2°R1 are as shown below:

Q: Given set A={1,2,3,4,5} and let R and S be a binary relation on set A. R = {(a, b) e AxA | b|a} and…

Q: Assume that the following graph represents a relation. Which of the following is true about the…

A: given the following graph represent a relation which of the following is true.

Q: Consider the relation R(A,B,C) with the functional dependencies: B A, CA, and AB C. a) Show the…

A: Below i have answered 1 st question only:

Q: Let R be a relation on A = {3,4,5,6,7} with R = {(3,5),(4,5,),(5,7,), (3,3),(4,4),(5,5),…

A: Given: A = { 3,4,5,6,7} with R = {(3,5),(4,5,), (5,7,), (3,3), (4,4),(5,5), (6,6), (7,7),(3,4)}.…

Q: Consider a relation R(A, B, C, D, E, F), with FDs AB → C , BC → D, D → E, BE → F and DF → C. 1. Is R…

A: R is not in 2NF so it is not in BCNF 3. primary key is AB, superkey of R that is not minimal key is…

Q: Consider the relation R with the following functional dependencies: R(P,Q,R, D,E,F) FD = {P →Q, QR →…

A: The set of attributes PEF, QFR is the candidate keys for the given relation R. Therefore, the right…

Q: 39 of 40 Let R = (A, B, C, D) be a relation schema with the FD's: A → B and B → A. R has how many…

A: There are 3 super keys in given relation that are ABCD ,ACD and BCD

Q: Suppose that R1 and R2 are symmetric relations on a set A. a) Is R1 U R2 also symmetric? Is R1 ∩ R2…

Q: Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows: R = {(0, 0), (0, 1), (0, 3),…

A: Relations R,S and T are reflexive, symmetric and transitive

Q: Question 2 Composite relations can be thought of as composite functions. If S is a relation from set…

A: As per guidelines we can answer only one question at a time for answers of other question ask…

Question

Consider the following five relations on the
set A = {1, 2, 3, 4}. Determine which of the
* .relations are reflexive
R2 = {(1, 1)(1, 2), (2, 1), (2, 2), (3, 3), (4, 4)}
R4 = A x A
R1 = {(1, 1), (1, 2), (2, 3), (1, 3), (4, 4)}
R3 = {(1, 3), (2, 1)}

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Let R1 and R2 be the relations on {1, 2, 3, 4} given by 6. R, = {(1,1), (1,2), (3,4), (4,2)} R, = {(1,1), (2,1), (3,1), (4,4), (2,2)}. (i) List the elements of R, R, and R, UR,. (ii) Represent digraphs for R1 and R2.
List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6, 7, 8}.
Definition (hints): a b(mod m), read "a is congruent to b mod m," if m|(a - b); that is, %3D (a - b) mod m = 0. %3D This is a correct adjacency matrix for the congruence mod 5 relation on the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 2 3 4 5 6 7 8 1 O. 2. 1 O 1 1 4 O. 1. 1 O. 7 1 6. 1. O True O False 3. 6.
2. Let A = {0,1}. Determine all relations on A.
For each of the following pairs of expressions, give instances of relations thatshow the expressions are not equivalent. ΠA(r − s) and ΠA(r) − ΠA(s).
The following digraph represents a relation R. a C b d List the ordered pairs in the relation. R = { }.
1. Consider the relation R on the set (a,b.c,d,e,f] which is defined as follows: R-{(a,a), (a,b). (a.c). (b.a). (b.c), (c,a). (c,b). (d.d), (f.f)}. Is R reflexive? Is R symmetric? Is R anti-symmetric? Is R transitive? Give reasons!
4. Write the relation matrix for the relation R on the set (a,b.c.d.e.f) which is defined as follows: R={a,a), (a,b), (a,c), (b,a). (b,c). (c,a), (c,b), (d,d), (f.f).
Given: Relation R = {(a,a), (a.b), (b,a). (b,b). (c,c)} and Set S = {a, b, c} Complete Relation R to be Transitive with Set S
Suppose that R is the following relation on the set A = {1, 2, 3, 4}: R = A × A − {(1, 1), (2, 2), (3, 3), (4,4)} Determine which of the following is the relation R². R1. R1 = AX A R2. R2 = {} R3. R3 R -
Which of the following relations define functions? Select all that apply. Consider the set S = (1, 2, 3, 4) and let R be the relation on Sx S. R = {(1, 1), (2, 3), (4, 3)). Consider the set S = (1, 2, 3) and let R be the relation on Sx S, R = {(1, 1), (2, 3). (1, 3)). Let R₁ be the relation on Zx Z, R₁ = {(x,y) | xe Z and x < yl, where Z denotes the set of integers. Consider the sets S₁ = (1, 2, 3, 4) and S₂ = (3, 4, 5) and let R be the relation on S₁ x S₂, R = {(1, 3), (2, 5), (4, 5)}.
Definition (hints): a = b(mod m), read "a is congruent to b mod m," if m|(a - b); that is, (a - b) mod m =0. %3D %3D This is a correct adjacency matrix for the congruence mod 5 relation on the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) 1. 2 3 4 5 6 7 8 9 1. O o 00 1 O. O. O. O. 1 1. 1. O. 7. 1. O True O False 20O o 1. O Oo 1. 1. 1. 1. 1. 2. 3.