Consider the relation R with the following functional dependencies: R(P,Q,R, D,E,F) FD = {P →Q, QR → D,E → R,D → P} Which of the following are the candidate keys? (a) PF, QF. (b) PF, QF, RF (c) PEF, QEF, DEF (d) PEF, QFR %3D
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: The relation R(A,B,C,D,E) has the following functional dependencies. A, B --> C B, C --> D C, D…
A: Answer for (A) and (B):
Q: Consider the relation r(A,B ) with the following instance of r. Which of the functional dependencies…
A: Rules to check valid functional dependency from α -> β Check if all the values of α are…
Q: Consider the relation R = {A, B, C, D, E, F, G, H, I,J} and the set of functional dependencies F = {…
A: f ={ AB → C, A → D, B → F, F → GH, D → IJ } To find the key check the RHS of the…
Q: Courses(C, T, H, R, S, G) Relation and F={C→T ,HR→C, HT→R, HS→R,CS→G} is given. What is the…
A:
Q: AC→D, AB→C, AB→D, AB→E
A: Option C: Third normal form
Q: Given a relation R(P ,Q ,R ,S, T, U,V,W, X,Y) and functional dependency set FD =…
A: Given a relation R(P ,Q ,R ,S, T, U,V,W, X,Y) and functional dependency set FD =…
Q: Consider the following Relation (R) and its Functional dependencies. R(0, μ, y, α, B), {0, µ} → {a},…
A: Candidate key is Qu As per guidelines solve only first question please repost question as a…
Q: Suppose we have three relations r(A, B), s(B, C), and t(B, D), with all attributes declared as not…
A: Natural join:- 1. Natural join joins two data sets based on the same attributes names and datatypes.…
Q: Consider the relation R with the following functional dependencies: R(P,Q, R, D, E, F) FD = {P >…
A: Given: Relation R with the following functional dependencies: R(P,Q, R, D, E, F) FD = {P > Q,QR →…
Q: Given the following relation schema R(B, N, O, A, T, C) and the set of functional dependencies F =…
A: F = {C-->OT, O-->AC, CN-->B, CB-->A, B-->N}: R(B, N, O, A, T, C)
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: SIf a decomposition of a relation R into R¡ and R2 is lossless, then which of the followings are…
A: If a decomposition of a relation “R” into “R1”, and “R2” is lossless then it produces “R” by…
Q: 1. Given a relation model R, where U = {A, B, C, D, E}, F = {A->BC, C->D, BC->E, E->A}. The…
A: Note:- Please send the question once again if you wish to answer another question, as set out in the…
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: Consider the relation R(A, B, C, D, E), and the decomposition of R into R1(ABC) and R2(ADE). (a)…
A:
Q: Consider the relation R(A, B, C, D, E) and the set F = {AB → CE, E → AB, C → D}. What is the highest…
A: Solution - Given relation is - R(A, B, C, D, E) and the set F = {AB → CE, E → AB, C → D} To identify…
Q: Given the following relation R and its functional dependencies, what is the key of R? R(A, B, C, D,…
A: Key is basically which closure determines all the attributes A-->B B-->E E-->C Using…
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: Consider a relation R={A,B,C,D,E,F,G,H,I} with the set of functional dependencies and determine,…
A: Now we must determine the above definition whether for each FD. Each value is super key or not on…
Q: Question 3 Consider a relation A(P, Q, R, S, T) with following functional dependencies. i.Р— QR ii.…
A: Relation: f a purposeful dependency X->Y holds true whereverY isn't a set of X then this…
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.
Q: Given R ={A, B, C, D}, and the set of Functional dependencies A→BC, B→D. (a) Is the decomposition…
A: The Functional dependency we have are A->B A->C B->D A->D A) If we decompose the…
Q: . Consider the relation R, which has attributes that hold schedules of courses and sections at a…
A: Let us first of all make use the following shorthand notation: C = the CourseNo, SN = the SecNo, OD…
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: Question 6. Consider the relation R(ABCDE) and its functional dependencies set {AB->C, C->E, B-> D,…
A: Answer of the given question: choice (d) is the correct answer. Lossless Decomposition: Lossless…
Q: Consider a relation (p, q, r, s, t, u, v) with functional dependencies as given below: p>q r>s,t…
A: Defined candidate key for the given relational schema
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: Consider a relation schema R = {A, B, C, D, E} and its functional dependency set F = {A → B,CD → E,B…
A:
Q: Consider a relation (p, q, r, s, t, u, v) with functional dependencies as given below: p➜q r➜s,t…
A: Given : A relation (p, q, r, s, t, u, v) with functional dependencies as given below:p ⇒ qr ⇒ s, ts…
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: Given a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ → R, P →…
A: Given: a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependency set FD = { PQ → R, P →…
Q: Consider the relation R = {A, B, C, D, E, F, G, H, I,J} and the set of functional dependencies F = {…
A:
Q: Task 4: Consider the relation schema R(A, B, C, D, E) with the following FDs FD1: {A,B,C} → {D,E}…
A: A) A relation is said to be in BCNF if all it's functional dependency is of form X->Y where X is…
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 thne universal relation R (AB. E F, G, H, I. JJ and the set of functional dependencies F =…
A: A functional dependency x->y is said to be partial functional dependency if X is part of key or…
Q: Suppose you are given a relation R-(A,B,C,D,E) with the following functional dependencies:…
A: Relation R which is defined functional dependencies
Q: Consider the relation R with the following functional dependencies: R(P,Q, R, D, E, F) FD = {P >…
A: Answer: Option (d) PEF, QFR
Q: Suppose RR is a relation with attributes A1,A2,…,AnA1,A2,…,An. How many superkeys will RR have if…
A: Given RR is a relation with attributes A1,A2,…,An a) The only candidate key is A1 b) The only…
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: Answer the following questions about the relation R(a, b, c, d, e, f), with functional dependencies:…
A: Answer : R(a,b,c,d,e,f) a->f ab->cd c->e de->b bf->ae It not violate any normal…
Q: You are given a binary relation R (defined below) on A. Each tuple (a, b) indicates that a is…
A: Hey there, I am writing the required solution based on the above given question. Please do find the…
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: Let R be a relation from the set A = {0, 1, 2, 3, 4} to the set B = {0, 1, 2, 3}, where (a, b) eR if…
A: Given: A = {0, 1, 2, 3, 4 } & B = {0, 1, 2, 3} Since the relation is defined as a+b = 4, we need…
Q: Q2: Given relation R with attributes (A, B, C, D, E, F). Give all the keys of R if the functional…
A: Given relation R(A, B, C, D, E, F) Functional Dependencies: AB → C, CD → E, E → F A, B, D do…
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 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: Consider a relation schema R = {A, B, C, D, E, G} and its functional dependency set F = {A → BCD,BC…
A: Given: R = {A, B, C, D, E, G} F = {A → BCD, BC →DE, B → D, D → A} B+ is basically a closure of B.…
Q: Consider the following sets of functional dependencies over a relation R(A,B,C). F1 = {A → B, B C}…
A: functional dependency (FD) is a relationship between two attributes, typically between the PK and…
Q: Consider the relation R(A, B, C, D, E), where it is known that the only keys are KA, C, D} and {D,…
A: Functional Dependency: This is a connection between two attributes, wherein the attribute on the…
Q: Suppose a relation R has attributes A, B and C that satisfies the functional dependency A-B and…
A: 1) 10 records will be retrieved. 2) Option-b is correct It is in 3NF but not in BCNF 3) Option-c…
Q: Show that the following decomposition of the schema R of Exercise 7.1 is not alossless…
A:
Q: Given the following relation: R (A, B, C, D, E, F, G) The functional dependencies that apply onto R…
A: The question is on database normal forms and functional dependencies.
Q: QUESTION 9 A relation R(M, N, O, P, Q) is in 2NF and has the following functional dependencies: • MN…
A: Dear Student, As MN derives O and O derives P and also Q thus MN derives M,N,O,P,Q. Thus MN is a…
Q: Consider relation R(A,B,C,D,E,F) with functional dependencies: {C,D,E)→ {B} (A,C,D] → [F] [B,E,F] →…
A: The following solution is
Q: You are given the following set of functional dependencies for a relation R= (A, B,C,D,E,F), F= (AB…
A: A) The functional dependency are AB->C DC->AE E->F The key for the given relation is set of…
Q: Consider the relation R (A, B. C, D) with the functional dependencies (A)->[B) and (C)->D). Which is…
A: Step 1: Determine the attributes that are neither on the left side nor on the right side of any…
Q: Consider the following set F of functional dependencies on the relation schema(A, B, C, D, E, G):A →…
A: The given set of functional dependencies are: (A, B, C, D, E, G):A → BCDBC → DEB → DD → A Now, we…
Q: Given R ={A, B, C}, and the set of Functional dependencies A→B, B→C. (a) Is the decomposition of…
A: Explanation:
Q: Question 2 Composite relations can be thought of as composite functions. If S is a relation from set…
A: As per guidelines we can answer only one question at a time for answers of other question ask…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E. (a) What are the keys for R?(b)What is the closure A, that is A+ ? What is the closure AB, that is (AC)+ ?Consider the universal relation: R = (A, B, C, D, E, F, G, H, I, J) and the set of functional dependencies: A, B -> C B, D -> E, F A, D -> G, H A -> I H -> J What is the key for R? And Decompose R into 2NF, and then into 3NF relations.Consider a relation R(A,B,C,D,E) with functional dependencies AB→C, A→D, and D→E. (a) What are the keys for R? (b) What is the closure A, that is A+ ? What is the closure AB, that is (AB)+ ?
- Given a relation R( P, Q, R, S, T, U, V, W, X, Y) and Functional Dependencyset FD = { PQ → R, P → ST, Q → U, U → VW, and S → XY}, determine whetherthe given R is in 3NF? If not convert it into 3 NF.Consider a relation schema R(A, B, C, D, E, G) and a set of functional dependencies F = {A → C, AD → CE, B → ACD, C → B}. (a) Show the steps of computing a canonical cover for F. (b) Compute the closure of AG and then determine whether or not AG is a candidate key. (c) Determine whether or not (A, E, G) is in BCNF and justify your answer using the transitive closure of a set of attributes. If (A, E, G) is not in BCNF, find a BCNF decomposition of it. (d) Assume that (A, E, G) is decomposed into (A, G) and (E, G). Given the above functional dependencies, is this decomposition always lossless? If so, prove this. Otherwise, explain it using an example (i.e., a case of decomposing a table containg rows and columns into two tables). (e) Assume that R is decomposed into R1(A, B, C, D) and R2(A, E, G). Is this decomposition dependency preserving? Justify your answer.Consider the relation schema R(A, B, C, D, E, F) and the set S = {AB->C, BC->AD, D->E, C->B) of functional dependencies. Assuming that R is decomposed into the relation schemas R1(A,B), R2(B,C), R3(A,B,D,E) and R4(E,F). Use the Chase test to show if this is a lossless decomposition.
- Consider a relation schema R = {A, B, C, D, E, G} and its functional dependency set F = {A → BCD,BC →DE,B → D,D → A}. Compute B+and choose the answer.(a) B+= AB(b) B+= ABC(c) B+= ABCD(d) B+= ABCDE(e) none of the aboveConsider the Relation R4 = (A,C,B,D,E,F), with Functional Dependencies: A -> B, C -> D, E -> D. What is the Candidate Key for R4?1. Consider a relation schema R1(A, B, C, D) that satisfies the set of functional dependencies F1 ={A→B, B→C, C→A}.a) Calculate A + and (AC)+b) Can AB→ C? Justify your answer.c) Find all the candidate keys of R1 using F1 and show your steps to find them. 2. Consider a relation schema R2(A, B, C, D) that satisfies the set of functional dependencies F2 = {A→B, C→D, D→AC}.a) Is (AD) is candidate key of R2? Justify your answer.b) Is R2 in BCNF? Explain the reason to your answer.c) If R2 is not in BCNF, give a lossless-join BCNF decomposition of R2. Is this decomposition dependency preserving? 3. Consider a relation schema R3(A, B, C, D, E) that satisfies the set of functional dependencies F3 = {A → BC, AC → BD}.a) Calculate (AC)+ and (AE)+b) Is AB → C in F3 +? Justify your answer.c) Find the canonical cover Fc of F3.d) Is R3 in 3NF? Explain the reason to your answer. If R3 is not in 3NF, give a lossless-join, dependency preserving 3NF decomposition of R3.
- Consider a relation schema R = {A, B, C, D, E} and its functional dependency set F = {A → BC,CD → E,B →D,E → A}. Let R be decomposed into R1 and R2, where R1 = (A,B,C) and R2 = (A,D,E). Is the decompositionlossless? Is the decomposition dependency preserving? (a) The decomposition is lossless and dependency preserving.(b) The decomposition is neither lossless nor dependency preserving.(c) The decomposition is not lossless but dependency preserving.(d) The decomposition is lossless but not dependency preserving.Given a relation R(P ,Q ,R ,S, T, U,V,W, X,Y) and functional dependency set FD = {PQ→R,P→ST,Q→U,U→VW and S→XY} determine whether the given R is in 3NF? If not convert it into 3NF?Consider a relation schema R = {A, B, C, D, E} and its functional dependency set F = {A → B,CD → E,B →D,E → A}. Which ones of the following are not candidate keys for R? (a) A(b) BC(c) CD(d) D(e) E