(10) Discrete Structure: Please solve it on urgent basis: Question # 10 :                  For each of these relations on the set {1, 2, 3, 4}, decidewhether it is reflexive, whether it is symmetric, whetherit is anti-symmetric, and whether it is transitive. a) {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)} b) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} c) {(2, 4), (4, 2)}

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Q: 2. Determine whether the relation represented by this zero-one matrix is reflexive, symmetric,…

A: Solution:-

Q: Determine the characteristics of the * .relation aRb if a2 = b2

A: Determine the characteristics of the relation aRb if a2 = b2

Q: • Let A be the set A={a,b,c,d} and R is a relation on set A, where R= { (a,a), (a,b) ,(b,a),(b,b),…

A: A = {a,b,c,d} R= {(a,a),(b,a),(b,b),(c,d),(c,c),(d,d)}

Q: a) A computer program consists of five modules M1, M2, M3, M4, and M5. A relation R on the set of…

A: The first question will be answered only. Given: There are five modules M1, M2, M3, M4, and M5 of a…

Q: Define a relation as follows: ARA = {(a, b) , (a, c), (b, c)} Select the properties that the…

A: Answer to the above question is in step2.

Q: Suppose we have the following relation schema R and set of functional dependencies F: R = (A, B, C,…

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Q: إجابتك PWhich of these relations on {0, 1, 2, 3} are equivalence relations a) {(0, 0), (1, 1), (2,…

A: The correct answer of the questions is Option ("a")" { (0, 0) (1, 2) (2, 2) (3, 3) }"

Q: Question 1: FDs and Keys (a) Consider a relation schema R(A, B, C, D, E), and the set of…

A: Here in this question we have given a relation R. And also given set of functional dependenciesF =…

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.

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Q: Computer Science Given the relation R (A, B, C, D, E, F, G) and the set of functional dependencies:…

A:

Q: Suppose relation R is defined as two-dimensional matrix A. Give a pseudo-code for transitive…

A: A)THE BELOW ANSWER IS FOR BOTH PARTS IN THE QUESTION: #include <bits/stdc++.h>using namespace…

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 = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

A: A relation R is reflexive if and only if (a, a) ∈ R , ∀a ∈ A   Here,  A = {a, b, c}   Therefore, (a,…

Q: 2. 1 9 ef Consider the relation R on Z² given by: R= {((a,b), (c, d)) : a +d = c+b} Prove that R is…

A: To prove a relation to be equivalence, it should be : 1) Reflexive 2) Symmetric 3) Transitive

Q: Question 5 Let set A = {1, 2, 3} and S is a relation on set A, where S= {(1, 1), (1, 2), (1, 3), (2,…

A: Relation S is said to be transitive as for a,b,c in A, if (a,b) is in R and (b,c) is in S, then…

Q: Define a relation R on Z×Z by (m,n)R(s,t) if and only if m-n = s-t. Is R reflexive? symmetric?…

A: In the given case, we prove all three one by one.

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A: Symmetric closure of the set A={a,b,c}

Q: 2. Let R be the binary relation on A= {a, b, c} with the graphical representation shown below: a…

A: To check reflexive, symmetric and transitive nature of graph.

Q: Let A={g.b.c.d.e} and S, T, U and V relations on A where S = {(aa), (ab), (bc), (kd), (ce), (ed),…

A: Answer is C

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Q: 2. Let A = {0, 1}. Determine all relations on A.

A: Answer: All relations of A are listed below.  R1={} R2={(0,0),(0,1),(1,0),(1,1)} R3={(0,0)}…

Q: Let A = {a, b, c}. a) Give an example of a relation on A that is reflexive and symmetric, but is not…

A: Let A={4,6,8}Define a relation R on A as:A={(4,4),(6,6),(8,8),(4,6),(6,4),(6,8),(8,6)}Relation R is…

Q: Answer the following questions about the relation R(a, b, c, d, e, f), with functional dependencies:…

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Q: -------If R is reflexive, symmetric and transitive then the relation is said to be Floor(2.4) +…

A:

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: A decomposition is in 3NF if every decomposed relation is in 3NF. A decomposition is in BCNF if…

A: I have provided solution in step2

Q: • Try to demonstrate a relation of one of the following : Reflexivity, Symmetry, and Transitivity

A: Reflexive Property  The Reflexive Property expresses that for each genuine number x , x=x .…

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: 3. (MS) Consider the relation R6 on P({0,1,2, 3}) such that (A, B) e R6 if and only if A C B. Select…

A: This is of discrete mathematics

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Q: Find the flaw in the following argument. The claim is false. Do not give a counterexample. Instead,…

A: Step 1:- Introduction:- First of all, I am talking about the reflexive, symmetric, and transitive…

Q: List all 3-tuples in the relation {(a,b, c) | abc = 6} where a, b and c are all positive %3D…

A: Given: List all 3-tuples in the relation {(a, b, c) | abc = 6} where a,b and c are all positive…

Q: Suppose we have a relation schema R(A, B, C) with FD A → B. Suppose also that we decide to decompose…

A: Answer

Q: Let A= (0 1, 2, 3} and a define a relation R on A as follows: R = { (a, b} is in R, iff la-b| <1} •…

A:

Q: Exercise 8.1.3: Matrices and arrow diagrams for relations expressed as sets of pairs. O About Draw…

A: Given:

Q: a) Let A = {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a, b)|a + b is odd; a, b e…

A: A={1,2,3,5} and B={4,6,9} R={(x,y): the difference between x and y is odd x∈A,y∈B}…

Q: xercise 8.1.4: Arrow diagrams for relations on small finite sets.   Draw the arrow diagram for…

A: Actually, given question regarding finite sets.

Q: Q.1 Ans. Discrete Mathematics Assignment-5 Give an example to show that all three=, <=, and < are…

A:

Q: The relation R= {(1,1),(1,4),(2,3),(2,4),(3,1),(3,4)} on the set {1,2,3,4} is : Select one: a.…

A: the correct answer is not reflexive.

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A: Below is the answer with explanation:

Q: 1. The R is the relation from {1, 2, 3} to {1, 2, 3, 4} with R = {(1, 1), (1, 2), (2, 3), %3D (3,…

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A: Given: As per our policy, "Since you have asked multiple questions, we will solve the first question…

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A: answer - (i) Given: R1 = {(1,1),(1,2),(3,4),(4,2)} R2 = {(1,1),(2,1),(3,1),(4,4),(2,2)} Therefore…

Q: 2. Assume we have two relations R(A,B) and S(B,C). All three attributes (A, B, and C) are integer…

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

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A: Let's discuss about Reflexive and symmetric relation. Reflexive Relation A relation R on a set A is…