4. Consider the relation schema R(ABCDE) with the set of
functional dependencies F={B→E, A→B, DE→C, D→A,...
4. Consider the relation schema R(ABCDE) with the set of
functional dependencies F={B→E, A→B, DE→C, D→A, C→AE}. For the
following relations resulting from a possible decomposition of R,
identify the non-trivial functional dependencies which can be
projected to each of the decomposed relations.
a) S(ABC)
b) T(BCE)
c) U(ABDE
Please quesiton on database function
dependency: Suppose we have relation R (A, B, C, D, E),...
Please quesiton on database function
dependency: Suppose we have relation R (A, B, C, D, E), with some
set of FD’s , and we wish to project those FD’s onto relation S (A,
B, C). Give the FD’s that hold in S if the FD’s for R are:
c) AB --> D, AC --> E, BC -->
D, D --> A, and E --> B.
d) A --> B, B --> C, C --> D,
D --> E, and E...
Given a relation R(A, B, C, D, E) with the following FD
Set
FD = {...
Given a relation R(A, B, C, D, E) with the following FD
Set
FD = { A→C, B→C, C→D, DE→A, CE→A}
Suppose we decompose it into R1(A, D), R2(A, B), R3(B, E), R4(C, D,
E) and R5(A, E), is it a lossless decomposition? Show your
proof.
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...
There is no equivalence relation R on set {a, b, c, d,
e} such that R...
There is no equivalence relation R on set {a, b, c, d,
e} such that R contains less than 5 ordered pairs (True or
False)
Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set consisting of
the following elements:
A = N, B = 2N , C = 2P(N) , D = [0, 1), E = ∅, F = Z × Z, G = {x
∈ N|x 2 + x < 2}, H = { 2 n 3 k |n, k ∈ N}, I = R \ Q, J =
R.
Consider the relation ∼ on S given...
Part II
True or false:
a. A surjective function defined in a finite set X
over...
Part II
True or false:
a. A surjective function defined in a finite set X
over the same set X is also BIJECTIVE.
b. All surjective functions are also
injective functions
c. The relation R = {(a, a), (e, e), (i, i), (o, o), (u, u)} is
a function of V in V if
V = {a, e, i, o, u}.
d. The relation in which each student is assigned their age is a function.
e. A bijective function defined...
a. If r is a negative number, then b (in the line of regression
) is...
a. If r is a negative number, then b (in the line of regression
) is negative.
true or false
b.The line of regression is use to predict the theoric average
value of y that we expect to occur when we know the value of x.
true or false
c. We can predict no matter the strength of the correlation
coefficient.
true or false
d. The set of all possible values of r is, {r: -1< r <
1
treu...