For the relation R(A,B,C,D,E) with the following Functional Dependencies: A → B, A → C, BC...

For the relation R(A,B,C,D,E) with the following Functional Dependencies:

A → B, A → C, BC → D, AC → E, CE → A,

list all non-trivial FDs following from the above.
Generate all possible keys for R.
Check whether R is in 3NF. If it is in 3NF, explain the criteria you used. If it is not in 3NF, convert it into 3NF, showing the new relations and their FDs.

Expert Solution

venereology answered 1 year ago

=>Set of functional dependencies(F) = {A -> BC, BC -> AD, D -> E} =>Set of...

=>Set of functional dependencies(F) = {A -> BC, BC -> AD, D -> E} =>Set of functional dependencies(F) = {AB -> C, A -> DE, B -> F, F -> GH, D -> IJ} Decompose the previous R{A, B, C, D, E, F, G, H, I, J} into each higher normal form relations above its current NF. For example, if its current NF is 0NF, then you need to decompose R to 1NF relations, 2NF relations, up to 3NF relations...

Let R be the relation on Q defined by a/b R c/d iff ad=bc. Show that...

Let R be the relation on Q defined by a/b R c/d iff ad=bc. Show that R is an equivalence relation. Describe the elements of the equivalence class of 2/3.

Consider a relation R (ABCDEFGH) with the following functional dependencies: ACD --> EF AG --> A...

Consider a relation R (ABCDEFGH) with the following functional dependencies: ACD --> EF AG --> A B --> CFH D --> C DF --> G F --> C F --> D Find minimal cover and identify all possible candidate keys. In order to receive full credit, please list each step taken and the rules that you applied.

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of...

Consider the relation R= {A, B, C, D, E, F, G, H} and the set of functional dependencies: FD= {{B}—> {A}, {G}—> {D, H}, {C, H}—> {E}, {B, D}—> {F}, {D}—>{C}, {C}—> {G}} 1) Draw FD using the diagrammatic notation. 2) What are all candidate keys for R? 3) If delete {C}—>{G} and change {C, H}—> {E} to {C, H}—> {E, G}, what are all candidate keys for R

Normalization: Answer all 4 questions. You are given the following relation R and some functional dependencies....

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Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if...

Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if and only if ad=bc. (a) Show that R is an equivalence relation. (b) What is the equivalence class of (1,2)? List out at least five elements of the equivalence class. (c) Give an interpretation of the equivalence classes for R. [Here, an interpretation is a description of the equivalence classes that is more meaningful than a mere repetition of the definition of R. Hint:...

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?

Normalize the following data by: a) identifying the functional dependencies, b) stating your assumptions, \ c)...

2. Define a relation R on pairs of real numbers as follows: (a, b)R(c, d) iff...

2. Define a relation R on pairs of real numbers as follows: (a, b)R(c, d) iff either a < c or both a = c and b ≤ d. Is R a partial order? Why or why not? If R is a partial order, draw a diagram of some of its elements. 3. Define a relation R on integers as follows: mRn iff m + n is even. Is R a partial order? Why or why not? If R is...

Given the following knowledge base: a <- b^c. b <- d^e. b <- g^e. c <-...

Given the following knowledge base: a <- b^c. b <- d^e. b <- g^e. c <- e. d. e. ƒ <- a^g. Which of the following would be the trace of resolved atoms assuming a bottoms-up proof procedure? Select one: a. {a,b,c,e,g} b. {a,b,c,e,d} c. {g,e,b,e,c,a} d. None of these options Constraint Satisfaction Problem (CSP) is consists of a set of _________________. Select one: a. Variables, heuristics, and solutions b. Variables, domains, and backtracking c. Variables, domains, and constraints d....

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