Show that the following decomposition of the schema R of Exercise 7.1 is not alossless decomposition:(A, B, C)(C, D, E).Hint: Give an example of a relation r(R) such that ΠA, B, C (r) ⋈ ΠC, D, E (r) ≠ r

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDB → DDE →…

A: Part(1) AB is basically not the superkey for R, and nor the AB -> CD trivial. Therefore, start…

Q: 7.21 Give a lossless decomposition into BCNF of schema R of Exercise 7.1. (see 7.1 below)  (7.1) :…

A: decompose the schema R = (A, B, C, D, E) into (A, B, C) (A, D, E).          Show that this…

Q: Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as…

A: Given information: - R is schema in which F is a set of functional dependencies two candidate keys…

Q: Consider a schema  R={A,B,C,D,E} and the following set of functional dependencies: {AB-> C,…

A: To find whether the relation is in BCNF or not, it must fulfill all the conditions given…

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: 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: 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: Give examples of binary 1:N relationships, other than those in this text, for (a) an…

A: Given question has asked to give examples of binary 1:N relationships;      2. a) an…

Q: Show how to represent a 1:N recursive relationship in your answer to question 5.29. How does this…

A: Given: Show how to represent a 1:N recursive relationship in your answer to question 5.29. How…

Q: 1. If we project the relation R(A,B,C,D,E) with dependencies A→→BC, B→D, and C→→E onto S(A,C,E),…

A: Answer is given below-

Q: 2. Relation R(a,b) contains the following tuples: (1,2), (1,3), (1,4), (2,3), (3,4). and (4,5).…

A: The Answer is in Below Steps

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: Can we have identifying relation between two strong entities in this digram in the attached picture.…

A: First we explain about strong entity: Strong entity means which have primary key (under line) that…

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: Question 3. Suppose we have a relation R = (A, B,C, D, E , F) with a set of function ependencies F =…

A: A -> DE AC -> B B -> D Closure (AC) =(A, C, B, D, E)  Since AC determines all the attribute…

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

A: a) Candidate Key : Minimal set of attributes used to differentiate every record of the table is…

Q: Consider the schema R = (A, B, C, D, E, G,H) and the set F of functional dependencies:AB → CDD → CDE…

A: Given:-  schema R = (A, B, C, D, E, G,H) set F of functional dependencies:AB → CDD → CDE → BDEH →…

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: Let the set A = { 0, 1,2,3,4,5} and let the relation R be defined on A as : R ={(a, b)ÎA: a divides…

A: A.  The ordered pair item of relation is {(1,1),(1, 2), (1, 3), (1, 4), (1, 5), (2, 2)…

Q: A database of application of wholesaler can be modelled by means of the relations price, in_stock…

A:

Q: is an ordered *.collection of objects relation set non of them O

A: According the Question below the Solution:

Q: Consider the relation represented by the matrix below. 1 01 [1 1 1 1 1 1 -1 List the ordered pairs…

A: Number of rows in a matrix represents the number of vertices in a graph. Let those vertices be A, B,…

Q: a) Give an interpretation that is a model of A. You must mapp and q to different relations. b) Show…

A: Predicate Quantifiers is used in system modelling & Design

Q: Determine with explanations and examples (where appropriate) if each of the following is a trivial…

A: Trivial Functional Dependencies-   A functional dependency X → Y is said to be trivial if and only…

Q: Exercise 8.4.3: Composition of relations and arrow diagrams. The arrow diagrams for relations A and…

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

Q: Q.3/ Give one example for each type of associations in the domain of class diagram.

A: If one object owns another object. And another object cannot exists without the owner, that it is…

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:A → BCBD → ECD →…

A: Given schema R with the FDs: -

Q: Assignment: Which of the following links are equivalent/inequivalent? Where links are inequivalent,…

A: Which of the following links are equivalent/inequivalent ? what links are inequivalent .what is the…

Q: Using the functional dependencies of Exercise 7.6, compute the canonicalcover Fc.

A: Using the functional dependencies of Exercise 7.6, compute the canonicalcover Fc. Hence I have found…

Q: c. For a schema R (A, B, C, D) bearing FDs F={A B, B + C, C + D, D + A}, find if the decomposition…

A: for dependency preserving, F1 U F2 = F where F1 is the functional dependency of R1 F2 is the…

Q: Suppose that we decompose the schema R = (A, B, C, D, E) into (A, B, C) (A, D, E). Show that this…

A: The given functional dependencies are as follows. A → BCCD → EB → DE → A   Consider the decomposed…

Q: Consider a schema R, a set F of functional dependencies on R, and two candidate keys (k1, k2) as…

A: Given information: - A schema R, a set of functional dependencies F and two candidate keys (k1, k2)…

Q: Let R be the relation R = ((a, c), (a, d), (b. a), (c, a), (c, b), (d, b) %3D What is the matrix…

A: The given Relation R = {(a,c),(a,d),(b,a),(c,a),(c,b),(d,b)} We need the Matrix representation.

Q: Consider a relational scheme R(A,B,C,D,E,H) and functional dependencies A→B,BC→D,E→C,D→A. Find all…

A: In the functional dependencies above E, H are not present at the right hand side hence a candidate…

Q: A binary relation R on set A = {1,2,3,4,5,6,7,8} is defined as: (∀x, y∈A) xRy = ((x, y) | x | y)…

A: A={1,2,3,4,5,6,7,8}…

Q: Consider the functional dependency of relation R (A, B, C,D) F = {A→BC, B→C, A→B, AB→D} Compute…

A: Closure Set of F+ is: A→A, A→B,A→C, B→B, B→C,C→C, D→D, AB→A, AB→B, AB→C, AC→A, AC→B, AC→C,…

Q: B = {1,2,3,4,5,6} Suppose R is relation on BxB with pair (a,b) such that a < b. R is represented as

A: Step 1:- Given:- B = {1,2,3,4,5,6) Suppose R is relation on BxB with pair (a,b) such that a &lt; b.

Q: Consider the schema R = (A, B, C, D, E, G) and the set F of functional dependencies:AB → CDADE →…

A: Given schema is:  R = (A,B,C,D,E,G) whereas set of functional dependencies are: Candidate Key: The…

Q: Use the definition of functional dependency to argue that each of Armstrong’s axioms (reflexivity,…

A: To show the Armstrong’s reflexivity axiom is found:   A function dependency A→B which holds 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: Draw the Hasse diagram for the relation Ron A = {3,5,7,15,21,35,42,105} wher means a | b (a divides…

A: Hasse Diagram: A Hasse diagram depicts the relationship between elements of a partially ordered set…

Q: Consider a relational scheme R(A,B,C,D,E,H)R(A,B,C,D,E,H) and functional dependencies…

A: The Answer is

Q: Suppose we define a relation on the set {strings in A} by making aRb + length(a) = length(b) Support…

A: Let first understand what is Equivalence relations ? A relation on set A is called an equivalence…

Q: Consider the relation R(O,P,X,Y,E, S); FDs={ O->P, XY->O, OE->S, EY->X, PY->X} What is the lossless…

A: We have given relation as: R(O,P,X,Y,E,S) This shows that there are 6 attribute of relation R as: O,…

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: Q1Greetings, thatnk you in advance for your response.    - Give a decomposition into 3NF of the…

A: The Relation R( A,B,C,D,E ) can be decomposed as follows to 3nf: Functional dependencies, F : [ AB…

Q: Given X = {1,3,5}. R1 is a relation on X, defined by aRīb if and only į la – b| is an even integer.…

A: Here in this multi part question.in the first one we have asked to find realtion element and it's…

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