Part 1Let R be an equivalence relation on A = {0, 2, 3, 5} and R= {(5,5), (0, 2), (3, 3), (2, 0), (2, 2), (0, 0)}. There aredefined by R.Part 2unique equivalence classes

To find the number of unique equivalence classes defined by R, we need to determine the number of…

Answered: Let R be an equivalence relation on A =…

Let R be an equivalence relation on A = {0,2,3,5} and R = {(5,5), (0, 2), (3, 3), (2, 0), (2, 2), (0, 0)}. There are unique equivalence classes defined by R.

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: Consider a relation R (A, B, C, D, E, G, H, I, J) and its FD set F = {EC -> B, C->D, ->BH, H->ACD,…

A: 1) Closure (IJ) ={I,J, E, G, H, A, B, C, D} Closure (EJ)={E, G, H, I, B, A, C, D, J} Thus here key…

Q: 1. Let the binary relation R = {(a, b), (a, c), (c, d), (a, a), (b, a)}. Draw directed graphs…

A: Finding inverse of relationship of graph.

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 A = {73, 88, 101, 116, 131, 145, 186, 208, 214} and R be an equivalence relation defined on A…

A: Below is the solution Explanation: The partition of A defined by the equivalence classes of R is…

Q: p.629, icon at Example 2 # 1. Let R be the relation on {1,2, 3, 4} such that R = {(1, 1), (1, 4),…

A: Step 1: Step 2:

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: Question: 1 Let p and q be propositions then apply the laws of logic to determine whether or not the…

A: Note: Since you have posted multiple independent questions in the same request, we will solve the…

Q: 5) Define a relation R on Z as xRy if and only if 4| (x + 3y) . Prove R is an equivalence relation.…

A: The above question is solved in step 2:-

Q: Define a relation S on B={a,b,c,d} by S={(a,b),(a,c),(b,c),(d,d)}. Draw the directed graph of…

Q: The relation R defined on ℝ where aRb if and only if a< b is an equivalence relation. True or…

A: Given: The relation R defined on ℝ where aRb if and only if a< b is an equivalence relation.…

Q: Given set A = {a, b, c, d} show the equivalence relation, which contains eight ordered pairs,…

A: Answer is in step 2

Q: The following set R defines an equivalence relation on the set {1, 2, 3}, where a R b means that (a,…

A: If a relation is equivalence then it has equivalence classes. To find the equivalence class it must…

Q: 3. R is a binary relation over N, the set of natural integers. (x, y) € R iff x mod 7 = y mod 7. R…

A: Binary Relation:A binary relation is a mathematical concept that defines a relationship between two…

Q: Select the following relations on that are transitive. {(a,b) a²> b} {(a, b) | a²b² (mod 7)}…

Q: G= ({S, A, B, C}, {a,b,c}, S, P) where P S → AB A AB|CB| a BAB b CAC C

A: NPDA stands for non-deterministic pushdown automaton. It is basically a type of computational model…

Q: The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is…

A: Option ATransitive.

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: The relation x ≡ y if and only if x mod 4 == y mod 4 is an equivalence relation. Use this…

A: A.

Q: Let G = ({S,A,B,C,D,E,Z},(0,1),R,S), where R = {S → E | Z; E → A | C; A → 01B | 0A | ; B → 1B |…

A: Introduction: Here we are required to to perform the asked questions on given set G =…

Q: elp

A: help plz i will rate you discrete structure

Q: c) Find Un V. d) Find T-S.

A: The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A…

Q: for the set A={1,2,3} find the highest cardinality equivalence relation of the set

A: Answer the above question are as follows

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: Let T = {1,2,3,4}. Select all the true statements. Select one or more: 0 There is an equivalence…

A: An equivalency relation on set T (elements {1, 2, 3, 4}) creates disjoint equivalence classes with…

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 A be a non-empty funute set and let S = P(A). Define relation R ⊆ S × S by: xRy ⇔ |x| = |y|,…

A: In this question we have to prove Realtion R is an equivalent relation for the define data and need…

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: FEE*, define o =T if for all w E E*, ow EL(M) if anc M). Show that = is an equivalence relation on…

A: The given relation equivalent or not

Q: finite; a partial order on K such that, for all pairs x, y € K satisfying y and ry, the condition y…

A: A total order on K such that, for all pairs x, y € K satisfying both and x > y, the condition y…

Q: Refer to image and answer correctly for upvote! (Automata and Computation)

A: An equivalence relation must satisfy three properties:1. Reflexivity: Every element is related to…

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

Q: 4. Let A = {1,2,3,4,5,6,7). For all a, b € A, define a~ b if and only if is a power of 2. (a) What…

A: As given that a~b is a/b if it power of 2. So, our relation will…

Q: Computer Science Let L = {w ∈ {0, 1}*: w has an even number of 0s and the last character of w is a…

Q: For the following relations on the set of college students, determine if it satisfies each of the…

A: In this question, it is asked to state which the given statement is reflexive, transitive,…

Q: 1. List the ordered pairs in the relation R from A = {o, 1, 2, 3, 4} to B = {o, 1, 2, 3}, where(a,…

A: Summary: In this question, we have been given two sets A and B, and we have to find those relations…

Q: Answer with a YES or NO. Given a relation R on set A={1,2,3,4}, such that aRb if and only if a + b.…

Q: Let A = {a, b, c, d] and R= {(a, a), (b, b), (c, c), (d, d), (a, d), (d, a), (b, c), (c, b)} an…

A: A relation is an equivalence relation if it is reflexive, symmetric and transitive. It is given that…

Q: Let X be a finite set. For subsets A, BEP(X), let ARB if |A| = |B|. This is an equivalence relation…

A: Here is the solution for the above one: so the all selected options are, option 4, 6, 7, 8 These…

Q: 1) What are the canidate keys 2) waht is the canonical cover of this relation

A: I have given an answer in step 2.

Q: {1,2,3,4} . Find the symmetric and reflexive closures of R.

A: Given relation R R={(1,2),(1,4),(2,3),(3,1),(4,2)} We have to find symmetric and reflexive closure…

Question

Part 1
Let R be an equivalence relation on A = {0, 2, 3, 5} and R= {(5,5), (0, 2), (3, 3), (2, 0), (2, 2), (0, 0)}. There are
defined by R.
Part 2
unique equivalence classes

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

2. Consider the following language: {r € {a,b}* | #a(x) < 2#b(x)} (a) Give a CFG for this set. (b) Prove that the given CFG is correct.
a) Define a relation R on R (the set of all real numbers) as follows: For all x, y E R, xRy → x < y. Is R reflexive, symmetric and transitive?
Example 1.3.2 Consider a relation R = {(1,1),(2,2),(3,4),(4,3)}, defined on set A = {1,2,3,4}. Obtain R* (Reflexive and transitive closure of R)
Consider an equivalence relation R on X={a,b,c}. R= {(a,a), (a,c), (b,b), (c,a), (c,c) } [a]=
DISCRETE MATHEMATICS
Solve this
Find equivalence classes of following relations if they exist. a) {(0, 0), (1, 1), (2, 2), (3, 3)} b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3)} c) {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)} d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)} e) {(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0), (2, 2), (3, 3)}
1. Let A = {3, 4, 5} and B = {4, 5, 6} and let S be the "divides" relation. That is, for all (x, y) ≤ A × B, xSy ↔ x|y. State explicitly whic ordered pairs are in S and S-1
Given the sets A = {a,b, c, d}, B = {0, 1, 2, 3} construct a relation R such that R is an injective function and R-1 is a surjective function. Represent R and R-1 with graphs.
choose all the correct ones:
Let R be an equivalence relation on A = {0,5,7,9} and R = {(0, 9), (0, 5), (7, 7), (9, 5), (5,9), (9, 9), (5, 0), (0, 0), (9, 0), (5,5)}. Answer each of the following questions. (5) = 0 [9] = [0] = [7] =
Let A = {0, 1, 2, 3} and define relations R, S, and T on A as follows: R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}, S = {(0, 0), (0, 2), (0, 3), (2, 3)}, T = {(0, 1), (2, 3)}. a. Is R reflexive? symmetric? transitive? b. Is S reflexive? symmetric? transitive? c. Is T reflexive? symmetric? transitive?