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: Let X = {0, 1}. (a) List (as subsets of X X X) all possible relations on X. This answer has not been…

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

Q: Given the relation U below, use ordered pair notation to express the relation U o U. U o U = { Ex:…

A: To express the relation UoU (composition of relations U and U), find all pairs (x, y) such that…

Q: Let R be a relation on A = {0, 2, 3, 7} and R = {(7,7), (3, 3), (0, 2), (2, 0), (2, 2), (0, 0)}. Are…

A: SOLUTION- Given, A ={0,2,37} and R={(7,7),(3,3),(0,2),(2,0),(2,2),(0,0)} 1)True A relation R…

Q: 3. Suppose the relation R1(A,B) and R2(B,C,D) have the following tuples: A 1 7 2 4 9 B A T G C T B…

A: A theta join connects tables based on a relationship other than the equality of two columns. A theta…

Q: define functions

A: Given :- In the above given question, the statement is mention in the above given question Need to…

Q: ;; "relate" accepts a positive integer x and relation R and returns { y | (x y) €R }. ;; Type…

A: Helper Function : An helper function is a capacity that performs part of the calculation of another…

Q: Q # 3; (a). The relation ‘R’ is defined on the set M=(4,5,6,7) as the following;…

A: Given the relation R on M =(4,5,6,7) and given relation is R={(5,5),(5,6),(5,7),(6,5),(6,6),(6,7)}…

Q: Given a set A = {1, 2, 3, 4}, which of the following relations is a partial order relation and which…

A: In this question we have been given some relations and we need to determine which relations are…

Q: Let R be a relation on A = {0, 2, 7, 8} and R = {(7, 2), (8, 8), (8,0), (2, 7), (2, 2), (7,0)}. Are…

A: The given relation R is defined on the set A = {0, 2, 7, 8}, and R = {(7, 2), (8, 8), (8, 0), (2,…

Q: B. Draw the digraph of the relation on {a, b, c, d} 1. {(a, b), (b, b), (b, c), (c, d), (d, a)}…

A: Digraph is a directed graph consists of a set of nodes and set of ordered pairs called edges. Here,…

Q: Suppose relation R(A,B) has 5 tuples, S(B,C,D) has 3 tuples, and T(M,N) has 4 tuples. Also, suppose…

A: Given R(A,B) has 5 Tuples, S(B,C,D) has 3 tuples , and T(M,N) has 4 Tuples

Q: Given two sequences A and B. Let X(A, B) denote the number of times that A appears as subsequence of…

A: The first option is the correct choice. Find teh code implementation below.

Q: Let A = {1,5,8,9). Are the following relations on A reflexive? 1. {(9,8), (8, 1), (1, 5), (9, 9),…

A: Answer the above question are as follows

Q: Given: Relation R = {(a,c), (b,c), (c,c)} and Set S = {a, b, c} %3D Complete Relation R to be…

A: Given: To make the relation R symmetric.

Q: Let R(A, B, C, D, E, F) be a relation with FD's: {D→ CE, C-→ BDE, E→ AD, AF→ E, B→ D}. Which of the…

A: The given functional dependency is, { D -> CE , C -> BDE , E -> AD , AF -> E , B -> D…

Q: Q2: When the following FDs are defined in R(A, B, C, D), А — D, CD — В, А —— С (1) Identify the…

A: Defined the given functional dependencies

Q: Н.W: Al/ Which of these relations on {0, 1, 2, 3 } are equivalence relations, why? а) R1- {(0, 0),…

Q: The Fibonacci numbers are the numbers in the following integer sequence. For example, 0, 1, 1, 2, 3,…

A: I have given python code to sum of even numbers in fibbonacci series.

Q: 3. What will be the height of the following recurrence relations? a. T(n) = T (=) + T + cn b. T(n) =…

A: Answer: I have given answered in the handwritten format.

Q: Write in your own words description of following attributes of sets. Provide one example for each…

A: Defined the each attributes which are set Cardinality,Empty Set,Subset and Power Set

Q: Consider a relation T on Z where T = (1,1)}. Is T reflexive? Is T symmetric? Is T transitive?…

A: Given a relation T on Z T={(1,1)} T is not reflexive because Z is integer and has many element so…

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: For non empty binary relation R={(a, a).(a, b),(b, a).(b, b).(c, C).(C, d).(d, C).(d, d)} on the set…

Q: Let R be the relation R = {(a, b) | a < b} on the set of integers. Find a) R-!. b) R.

A: a)R-1

Q: Let S be a set with |S| = 5. How many relations are there on S? А. 5! В. 55 С. 520 D. 525 Е. 225

A: There are E. 225 relations on S.

Q: Let R(A, B, C, D, E) be a relation with the set of FD's: F = {D → C, C → D, D →A, C –→ A, E → C, E…

A: To find the canonical cover of F find the closures of left hand side variables we have F={…

Q: Q6) Let A = Z, the set of all positive integers, and we define the relation R on A as: a Rb if and…

Q: Question 9: The maximum number of superkeys for the relation schema R(E,F,G,H) with E as the key is…

A: The maximum number of superkeys for the relation schema R(E,F,G,H) with E as the key is 8. Option 4…

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: Q1. Let set A= {4, 8, 12, 16). Following are the relations defined on A x A: R1= {(4,4),(8,8),…

A: Here in this question we have given a set ={4 ,8 ,12 ,16} and we have given four relation and asked…

Q: Oa.2

A: Here as we can see all vertices have self loop. Thus the relation is = . Also as we can see there…

Q: 3. Consider the following set F of functional dependencies on R = ABCDEG. F = {A-> BCD, BC -> DE,…

A: To compute B+, we need to find all attributes that are functionally dependent on B through the given…

Q: Can renaming be pushed through join and selection—that is, which of the following algebraic laws…

A: SUMMARY: - Hence we discussed all the points.

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: Given 5 dimensional parameters A, B, C, D, E, F and the following set S of functional dependencies S…

A: The set of functional dependencies are given as follows- S={B→A;C→B;F→E;B→F;F→D}; Let us find the…

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: Implement the following Racket functions: Transitive? Input: a list of pairs, L. Interpreting L…

A: # function to check transitive relation def is_transitive(relation): # for all (a, b) and (b, c)…

Q: For each of the following pairs of expressions, give instances of relations thatshow the expressions…

A: R = {(1, 2)}, S = {(1, 3)}

Q: Consider the relation R = {(a, d), (b, a), (b, c), (c, b), (c, c), (d, a)} on the set {a, b, c, d}.…

A: Below are the required answers :

Q: Let S = {1,2,3}. Let be the relation on S x S defined by (a, b) ≤ (c,d) a ≤ c and b>d (a) Show that…

Q: I. Reflexive II. Symmetric I. Transitive IV. Antisymmetric For each of the following tvpes of…

A: - The question wants to know that what categories fell under the partial , total and equivalence…

Q: What ů co- vovi ance 6 Suppose if there are 20 studenta Peight and weight are consistent then it is…

A: The Answer is

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

write this in relation algebra: SELECT s.sname FROM student s, reservation r WHERE s.sid!=r.sid
Given the relations U and T below, use ordered pair notation to express the relation To U. ToU = {Ex: (a, b), (b, c) b U a b T
let R be a relation defined on the set z by aRb if a < b. What property/properties are violated? A. Symmetric & transitive B. Reflexive & Symmetric C. Reflexive & Transitive D. All three properties
If a set A has 7 elements, then the total number of possible relations on A is 27 27 277 72
7 PLEASE TYPE ONLY***
Consider the following sets: A={2,4,5} B = {4,9,10,12} C = {1,3,8,9,10,12,14} I) Find all the elements of the set C\ (AUB): II) Find | C\ (AUB) | III)Let R is a relation on the set A = { 2, 4, 5}, with: R:A×A, write the resulted set R ?
QWrite the recurrence findMin (A, left, if (left max2) return max1 else return max2
2.Consider relation R=(A,B,C,D) with the following FDs: B → C, C > D, and D A a. List all candidate keys of R. b. Is R in 3NF? BCNF? Justify your answer
Given the relation T below, use ordered pair notation to express the relation To T. ToT { Ex: (a, b), (b, c) b Lo a с } T
Question 2 1 0 Consider the matrix 1 1 0 1 Write the relation S as a set of ordered pair. Row = 1 ,2 ,3 Column= a, b
Using the functional dependencies of Exercise 7.6, compute the canonicalcover Fc.
The following two relations R and S have one attribute storing integers. Assume that a join is performed on this attribute. R = { 4, 3, 1, 6, 2, 9, 0, 5, 8, 7 } S = { 3, 4, 5, 8, 0, 2, 1, 6, 7, 9} Show the order of tuples output for the following join algorithms: (for example Sort Join would give (0,0), (1,1),...,(9,9) ) 1.One pass join where M=12 and R is put in memory: 2.Merge-sort-join with M=5: 3.Hash Join with three buckets and M=4. Assume R is the build relation and S is the probe relation. Also assume bucket 0 is output first. Output: