Suppose that we decompose the schema R = (A, B, C, D, E) into (A, B, C) (A, D, E). Show that this decomposition is a lossless decomposition if the following set F of functional dependencies holds: A → BC CD → E B → D E → A

Q: Give a 3NF decomposition of the given schema based on cover. Give a BCNF decomposition of the given…

A: GIVEN: The set F of functional dependencies on the relation schema r(A, B, C, D, E, F): A → BCD…

Q: Consider a relation with schema R(A,B,C,D,E,G) and functional dependencies (FDs) C→D; B→A; D→E; E→G…

A: Answer is given below .

Q: Show that it is possible to ensure that a dependency-preserving decomposition into 3NF is a lossless…

A: Let F be a set of functional dependencies which hold on a schema R. Let sigma={R1,R2,...,Rn} be a…

Q: Although the BCNF algorithm ensures that the resulting decomposition is lossless, it is possible to…

A: Instead of using BCNF, it is possible to have a lossless decomposition into 3NF itself. For this, it…

Q: Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E. (a) What are…

A: (A ) keys for relation R) is AB   Reason : -- because key is column or set of columns using that you…

Q: Consider the relation scheme R = {A, B, C, D, E, F, G, H} with the following set of functional…

A: I have given an answer in step 2.

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

A: Given schema R = (A,B,C,D,E,G) and set of FD's are             F =  AB --> CD…

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

A: Here in this question we have a relation R (A B C D E F G) and some FDs also given there.and we have…

Q: Problem 1 Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c,…

A: In this question, first, we find the 2NF. In 2NF, for relations where the primary key contains…

Q: Consider the relation schema R (A, B, C, D, E, F, G, H) with the set of functional dependencies K =…

A: Actually, given relation schema R (A, B, C, D, E, F, G, H)...  functional dependencies K = {A→B,…

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

A: Given schema R = (A,B,C,D,E,G) and set of FD's are,             F =  AB --> CD…

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) and the set F of functional dependencies:A → BCBD → ECD →…

A: According to question, There is a relation R = (A, B, C, D, E, G) with F of functional dependencies:…

Q: Given the relation R (A, B, C, D, E) and the following set of functional dependencies: F = {ABC,…

A:

Q: 1. Consider a schema R = (A, B, C, D, E). Assume that the following set F of functional dependencies…

A: The closure of attribute A is a set of those attributes which can be functionally determined by A…

Q: Consider the relation schema R(A, B, C, D, E, F) with the following set of tional dependencies FDs F…

A: We are given a relation schema and it is decomposed into several schemas. We are going to find out…

Q: Consider R(A,B,C,D) and Functional dependencies A -> B, B -> C, C-> D, D -> B. Following…

A: Given:

Q: Consider a relation schema R = {A, B, C, D, E, F, G} with the following set of functional…

A: A relational schema R with the set of functional dependencies

Q: Consider the relation schema R(A, B, C, D, E, F) and the set S = {AB->C, BC->AD, D->E, C->B) of…

A: ANSWER:-

Q: Consider a relation schema R = {A, B, C, D, E, F, G} with the following set of functional…

A: A relation Schema of the set of functional dependencies

Q: Consider a relation schema R = {A, B, C, D, E} and its functional dependency set F = {A → BC,CD →…

A: The given relation is lossless-join decomposition and not dependency preserving. Hence, correct…

Q: let F, be a canonical cover for F, i:= 0; for each functional dependency a → ß in F. i:=i+ 1; R, :=…

A: Answer :

Q: Problem 1 Convert the following relation to 2NF, and then to 3NF. Show both conversions. (h, n, c,…

A: 2NF: A relation is in 2NF if it is already in 1NF and all functional dependencies should be full…

Q: Consider a relation schema R = {A, B, C, D, E, F, G} with the following set of %3D functional…

A: In this question, we have a relation schema R along with its functional dependencies F. Also given 4…

Q: Consider the relation schema R=VWXYZ, with the set of functional dependencies F = {VW->XY, V->X,…

A: Given, The relation schema R=VWXYZ, with the set of functional dependencies F = { VW → XY, V → X, W…

Q: Consider a relation R = (A, B, C, D, E, F, G, H, I, J) and the set of functional dependencies F =…

A:

Q: Consider the universal relation R (A, B, C, D, E, F, G} and the set %3! of functional dependencies F…

A: The Relation given is : R = { A, B, C,D ,E, F, G} And the functional dependencies are: B,C --> A…

Q: Give an example of a relation schema R′ and set F′ of functional dependencies such that there are at…

A: Answer: The relation R' = (A, B, C, D) the set of functional dependencies F' = A->B, C->D,…

Q: Consider the relation scheme R = {A, B, C, D, E, G} and the set of functional dependencies for the…

A: Below is the answer to above both parts. I hope this will meet your requirements...

Q: Our discussion of lossless decomposition implicitly assumed that attributes on the left-hand side of…

A:

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

A: 3NF Decomposition: Given: Relation R,  Set F of functional dependencies. Find: Decomposition of R…

Q: Consider the relation scheme R (A, B, C, D, E) and the set of functional dependencies F = { A –→ BC;…

A: Closure (A) =(A, B, C, D, E)  Closure(CD) =(C, D, E, A, B)  Closure (B) =(B, D)  Closure (E) =(E, A,…

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

A: ANSWER IS C   R is not IN 3NF and not in BCNF

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 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: Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E.   (a)  What are…

A: In given question, we have asked the key for given Relation R and closue of A and closure of AC. Key…

Q: Consider the relation schema R=VWXYZ, with the set of functional dependencies F = {VW->XY, V->X,…

A:

Q: Consider the relation scheme R = {A, B, C, D, E, F, G, H} with the following set of functional…

A: Candidate keys are the set of smallest essential attributes that can generate all the values in the…

Q: B, C, D, E, G, H}, satisfying the functional dependencies F = {E → G, E → H, G → H, A → BC, BC → D,…

A: As per answering guidelines, solving the first 3 question completely.  A)  E → G, E → H, G → H, A →…

Q: Show that the following decomposition of the schema R of Exercise 7.1 is not alossless…

A:

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

A: In a lossless join decomposition, Relation R is decomposed into two or more relation and must…

Q: Given the schema S=  , where F represents the following dependencies: AB→D A→D E→B B→H H→C E→C…

A: A functional dependency which refers to the relationship between two attributes and typically which…

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

A: 3NF decomposition: Any relation is said to be in 3NF if it follows following characteristics: The…

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 R ={A, B, C}, and the set of Functional dependencies   A→B, B→C. (a) Is the decomposition of…

A: Explanation: