Consider R = ABCDEG, with the set of dependencies F={AB → D, AB → C, AC → E, B → D, BE → A, E → G}. Suppose we have decomposed it into relations with set of attributes R1={ABD}, R2={ACE}, R3={ADEG}. Show using chase algorithm if this decomposition has lossless join property.

Q: Let R(ABCDEFG) be a relation and F={A -> C, A-> D, B->F, E->F, F->G} a. Show example of lossless…

A: According to the information given:- We have R(ABCDEFG) F={A -> C, A-> D, B->F, E->F,…

Q: Suppose ρ is the relation defined on P({1, 2, 3}) in which, for A, B ∈ P({1, 2, 3}), AρB means "A…

A: Given: P({1, 2, 3}) A, B ∈ P({1, 2, 3}) AρB means "A and B both have exactly 2 elements."  ρ is…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: (A) In the example below, the relation r is clustered on the attribute a. However, suppose that this…

Q: Given a set A = {1, 2, 3, 4}, which of the following relations is a partial order relation and which…

A: In this question we have been given some relations and we need to determine which relations are…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

Q: Consider the relation R(S, N, R, C, J, H, L) and its set of dependencies F = {S, N -> C ; J, H, C ->…

A: using Armstrong's axioms=> proved in figure figure 1:

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: (4) Let T be the partial order relation on P({1,2,...,20}) defined by ATB if and only if |A| < |B|…

A: It is defined as sometimes also called simple, connex, or full orders. A set equipped with a total…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Given:Suppose you are given a relation r(a, b, c).a. Give an example of a situation under which the…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: answer:

Q: Let R(ABCDE)  be a relation and  F={A→B, BC→E, and ED →A}. Decompose R into BCNF using BCNF…

A: Answer:)

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Given:   Suppose you are given a relation r(a, b, c).   a. Give an example of a situation under…

Q: Consider the schema R=ABCDEG and the set of functional dependencies F={BC→AG, BG→CD, C→AE, D→AG} 2a)…

A: To address each part of your question:2a) Determine the keys of the schema:To find the keys of the…

Q: [A, B, C, D, E, F, G, H, I, J, K, L, M, N] B, C} → {D, E} {A, B, C, G} M} → {G, H, I, J} > {K, G}

A:

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Below are the answers:   a. If r is unclustered on a, tuples of r with a specific a-value will be…

Q: Suppose you are given a relation r(a, b, c). Give an example of a situation under which the…

A: Solution : a) The relation r is clustered by the attribute a in below case, Consider  the relation…

Q: ind a minimal covering of these functional dependencies. Then use it to synthesize a set of…

A:

Q: Consider F = {BC -> D, B -> E, CE -> D, E -> CA, BF -> G} and R(A,B,C,D,E,F,G) 5. Find a 3NF…

A: The given Functional depenency are :  F = {BC -&gt; D, B -&gt; E, CE -&gt; D, E -&gt; CA, BF -&gt;…

Q: Let T be the partial order relation on P({1,2,...,20}) defined by ATB if and only if |A| <|B| or…

A: I Have answered this question in step 2.

Q: 7) Provide a step-by-step lossless decomposition of R into BCNF normal form.

A: Answer

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: The answer is written in step 2

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Answer : a) The relation r is clustered by the attribute a in below case, • Consider that the…

Q: Consider a schema R and a set F of functional dependencies as follows: R= (A,B,C,D,E,G). F = {A →…

A: First of  all , let’s understand what is super key.      Super key : Super key can be defined as  an…

Q: Give an example of a situation under which the performance of equality selection queries on…

A: the answers is an given below :

Q: Consider the relation R(S, N, R, C, J, H, L) and its set of dependencies. F = {S, N -> C ; J, H, C…

A:

Q: Consider a schema R and a set F of functional dependencies as follows: R = (A,B,C,D,E). F = {A →…

A: To check for lossless join decomposition using functional dependency, the following set of the…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Answer : a) The relation r is clustered by the attribute a in below case, • Consider that the…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: (a) In the example below, the relation r is clustered on the attribute a. However, suppose that this…

Q: Let S = {1,2,3}. Let be the relation on S x S defined by (a, b) ≤ (c,d) a ≤ c and b>d (a) Show that…

A:

Q: a prime attribute be one that appears in at least one candidate key. Let α and β be sets of…

A: To reduce the duplication of data, referential integrity andanomalies the normal forms are used like…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: According to the information given:- We have to define the relation r(a,b,c) with the mentioned…

Q: Consider the following B+-tree index built for a relation instance using the id as the set of ey…

A: this Question is a Non Leaf Node.   before  3 4 5 6 10 17 18 29 after insert  1 3 4 5 6 10 17 18 22…

Q: Consider the recursive query in Figure 5.16 that outputs this transitive closure. Write a that finds…

A: Recursion: Recursive views make it possible to write queries , such as transitive closure queries,…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Answer : a) The relation r is clustered by the attribute a in below case, • Consider that the…

Q: 3. Suppose you are given a relation R(PQRSM)and the F, the set of functional dependencies that hold…

A: R(P, Q, R, S, M)  PQ -&gt; R PQ -&gt; S R -&gt; P S-&gt;Q (PQ) + ={PQRS} (RS) + ={RSPQ} Therefore…

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

A: Given Relation R contains 5 attributes A, B, C, D and E. The functional dependencies present in the…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: Solution: a) The relation r is clustered by the attribute a in below case,…

Q: Suppose you are given a relation r(a, b, c). a. Give an example of a situation under which the…

A: (A) In the example below, the relation r is clustered on the attribute a. However, suppose that this…

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