3. How many non-trivial FD's may exist on relation S(A, B)? (a) 1 (b) (c) 3 (d) 4

Q: Match each of the following relations on S = {the set of all people in the US} with the correct…

A: Small Example to understand Reflexive, Symmetric, and Transitive: - s={1,2,3,4} R={(1,1)…

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A: Relations are derived from Cartesian Product. Let A and B be two non-empty sets, then a relation R…

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A: Master's theorem is used to find the time complexity of the recurrence relation. The general format…

Q: Provide the asymptotic characterization of the following recurrence relation using the Master…

A: Given recurrence relation is, T(n)=2T(n/4)+34n3+42 Master's theorem is used to find the time…

Q: Correct and detailed answer. I will Upvote. Thank you   An Association Rule is an implication…

A: The number of unique items is 12. for n items, we can make 2n item sets in which one will be empty…

Q: With a simple example, explain aproximiation and how it may be accomplished using a fuzzy relation

A: Fuzzy relation:

Q: B. By determining whether each relation on the set A = {1,2,3,4} possesses the types of relation in…

A: R is reflexive if for all x  A, xRx. R is symmetric if for all x,y  A, if xRy, then yRx. R is…

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: Determine if the above table is in 1NF, else obtain a 1NF relation without loss of information

A: A table is said to be in 1NF if each cell contains atomic values.

Q: We studied different properties of relations like reflexive, symmetric, antisymmetric, transitive.…

A: Lets see the solution in the next steps

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A: The answer is

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A: Relationship: For internal process reasons, a “quantity outstanding” price is related to every…

Q: Consider the following set F of functional dependencies on the relation schema(A, B, C, D, E, G):A →…

A: Super key is defined as a set of attributes within a table that can uniquely identify each record…

Q: (10) Discrete Structure: Please solve it on urgent basis: Question # 10 :                  For…

A: A = {1,2,3,4}  R = { (2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4) } The relation R is not…

Q: Find the candidate key(s) for the following relations.

A:

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

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A: Correlation :  Correlation in the two columns or attributes is defined as the rate at which both…

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: Given that X, Y, W, Z are attributes in a relation, using the Armstrong’s axioms, prove that if we…

A: Given that X, Y, W, Z are attributes in a relation, using the Armstrong’s axioms, prove that if we…

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: Consider the following relation on the set of positive integers R = {(x,y) | x+y > 10} Is this…

A: The given relation is :  R = { ( x, y ) | x + y > 10 } The domain is the set of all positive…

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

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 = {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…

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Q: Write the reflexive, symmetric and transitive closure of the relation given b B={ c, d}, BRe={(c,c),…

A: reflexive transitive and symmetric closure of the relation

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A: Informally, the transitive closure gives the set of all places we can get to from any starting…

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A: An algorithm is a stepwise that procedure is  for solving a specific problem in a  number of steps.…

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: Give a set of FDs for the relation R (ABCD) with AB as primary key under which condition R is in 2NF…

A: Solution :  Given schema  R (ABCD) with AB as primary key If R has to be in 2NF, but not in 3NF then…

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: Give a sample tuple that would violate the Key constraint of any relation. Explain why?

A: 3) Entity Integrity constraint : On inserting NULL values to any part of the primary key of a new…

Q: In a relation R(A,, A2, A3,A4) if A, is candidate key then find the number of possible super keys.

A: Given: A relation having 4 attributes A1, A2, A3,A4. A1 is the candidate key. To Find: Number of…

Q: 4. Decomposition- BCNF. Consider relation R=(ABCDEFG), F={AB>CD, CDE→AB, AG>BD, BDG>EF} (a) Is it in…

A: The candidate key is the set of attributes which is used to uniquely identify tuples in a table.…

Q: If R is reflexive, symmetric and transitive then the relation is said to be-------- *

A: Given: If R is reflexive, symmetric and transitive then the relation is said to be-------- *

Q: Provide the asymptotic characterization of the following recurrence relation using the Master…

A: please check the solution below

Q: nswer the following questions about the relation Rla, b, c, d, e, f), a -> f ab -> cd C->e de -> b…

A: A)  Primary key is ab.  a -> f violates 2NF since it's a partial FD ab -> cd : none c -> e…

Q: Computer Science 1. Find the minimal cover. 2.Find the candidate keys. 3.Decompose this relation…

A:

Q: Consider the set A={1, 2, 3, 4, 5, 6}. Draw the Hasse diagram for the relation R={(1,1), (1,3),…

A: Below is the complete solution for the given question in detail. Below consists of Hasse diagram for…

Q: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}. Is R transitive?…

A: Answer : No , the above relation is not transitive .

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: 3.7 Consider a fuzzy relation RC A × A where A = {a, b, c}. R a b d e a 1 1 1 1 1 1 d. 1 1 1 1 a)…

A: Answer: our instruction is answer the first three part from the first part and . I have given…

Q: Determine whether the given relation is reflexive, symmetric, anti-symmetric and transitive (x, y)∈R…

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,…

A: Any relationship or connection between  one set elements, referred to as the domain or the set of…

Q: 5. Write the relation matrix for the Boolean nor. What is the identity for nor?

A: The detailed explanation is provided below

Q: 2.For each of the following relations with given functional dependencies, @Calculate canonical cover…

A: NOTE: According to the rules, only question (a) is to be answered (i) Fc is called a canonical cover…

Q: Let R = {(2, 2), (2, 4), (2, 3), (2, 6), (3, 3), (3,6), (6, 6)} where P={ (a,b) | (a,b) ER if a is a…

A: Given : R={(2,2),(2,4),(2,3),(2,6),(3,3),(3,6),(6,6)}