List all 3-tuples in the relation {(a,b, c) | abc = 6} where a, b and c are all positive %3D integers.
Q: Determine whether the relation R on the set of all real numbers is reflexive, symmetric and/or…
A: (a) A = Set of all real numbersR = {(x, y) |x + y = 0} The relation R is not reflexive, because x +…
Q: the recurrence relation f(n)=af(n/b)+g(n), the size of subproblem is n/b
A: In the recurrence relation f(n)=af(n/b)+g(n), the size of subproblem is n/b. True…
Q: How many minimal keys this relation has? A B C DE F G 1 4 4 4 2 4 3 2 5 4 4- 2. 4- 2. 3. 4. 2. 3. 4-…
A: Given that how many minimal keys this relation has? actually it required 6 keys to give a relation…
Q: The recurrence relation fn= fn-1 + nfn-2 is it is not a recurrence relation homogeneous but not…
A: the answer is an : is linear homogeneous
Q: Relative to the ordering 1, 2, 3, 4 the following relation R is transitive. [o 0 1 1] 0 10 0 10 10…
A: To find if the given matrix is transitive or not we have to prove something MR = M2 R+ MR No we…
Q: In recurrence relation T(n) = 2T(n / 3) + (1) the number of sub-problem are
A: Option (D) is the correct option.
Q: Suppose relation R(A,B) has 5 tuples, S(B,C,D) has 3 tuples, and T(M,N) has 4 tuples. Also, suppose…
A: Given R(A,B) has 5 Tuples, S(B,C,D) has 3 tuples , and T(M,N) has 4 Tuples
Q: М. M. Show that (p v qVr V s) can be re-written into an equivalent CNF formula such that each clause…
A: Given function is, (p∨q∨r∨s). It is in DNF which stands for Disjunctive normal form and it contains…
Q: Consider the Recurrence relation f(n + 1) =L(n^2* f(n)+2)/(n+ 1)],, n 2 1 and f(0) = 2. Find the…
A: Given f(n)=n^2*f(n)+2/n+1 f(0)=2 when n=0 f(1)=0^2*f(0)+2/0+1 =0*2+2/1=2 n=1 f(1)=2 f(2)=f(1+1)=(…
Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6,…
A: Suppose you have a pair of two numbers. You have to find the pairs were a%b = 0 For the given sets,…
Q: What is the general solution for the recurrence relation tn = 18tn-1 – 81tn-2 ?.. %3D (1) tn =…
A:
Q: F of functional dependencies. 1. Create an initial matrix S with one row for each relation Ri in D,…
A: Lossless JOIN property allows to create a table of relations and insert values in the form of bij…
Q: Let R(A,B,C,D,E,F,G) be a relation with the FDs: F= (CDG, DG-C, AD-G, G-A, AB-F). Consider the…
A:
Q: Define a recurrence relation T(n) that corresponds to the natural numbers, but that "skips"…
A: A recurrence relation is an equation that recursively defines a sequence where the next term is a…
Q: Find the terms a3 through a8 of the sequence defined by the recurrence relationship a = 2?n-1 +…
A: The relationship is mentioned below for the recurrence relation:
Q: 2. Relation R(a,b) contains the following tuples: (1,2), (1,3), (1,4), (2,3), (3,4). and (4,5).…
A: The Answer is in Below Steps
Q: the key: 10101100100... Find the probable recurrence relation generating that key.
A: grouped in blocks of 7 bits. Given theorem "The maximum sequence length generated by an LSFR of…
Q: Let R be the relation R = {(a, b) | a < b} on the set of integers. Find a) R-!. b) R.
A: a)R-1
Q: Let S be a set with |S| = 5. How many relations are there on S? А. 5! В. 55 С. 520 D. 525 Е. 225
A: There are E. 225 relations on S.
Q: The p operation eliminates duplicate tuples in the resulting relation. So: p Gender, Salary…
A: The question is ambiguous, it can't be determined if the user wants to remove all the duplicates…
Q: 7. Write an algorithm that receives as input the matrix of a relation R and produces as output the…
A: Answer :-
Q: Explanation with each Show the recurrence relation tree using subtition method T(n) = 8T(n/4) + n2
A: Please refer below for your reference:
Q: What is the degree of the recurrence relation an-2 + 2an-7 – 2an-4 = 0-? (1) 2 (2) 9 (3) 7 (4) 5 (A)…
A: We are given the following recurrence relation : an-2 + 2an-7 + 2an-4 = 0 We have to find the…
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: Big-O notation is defined as follows: The function f(n) is O(g(n)) if there are positive integers c…
A: Answer :-
Q: What are the roots of following recurrence relation? an = an-2 O 1 -1 O -1 and 1 O None of the above
A:
Q: write this in relation algebra: SELECT s.sname FROM student s, reservation r WHERE s.sid!=r.sid
A: SQL statement to relational algebra is written in step 2.
Q: R = ABCD F3{C-D, C-А, В -С } A. Find all candidate keys. B. What is the strongest normal form that…
A: A) Attribute or set of attribute that can determine all the attribute of relation R is key of R.…
Q: Consider the relation represented by the matrix below. 1 01 [1 1 1 1 1 1 -1 List the ordered pairs…
A: Number of rows in a matrix represents the number of vertices in a graph. Let those vertices be A, B,…
Q: 29. The complementary relation R is the set of ordered pairs {(a, b)la,b) € R}. Let R be the…
A: R-bar is the complement of R
Q: Consider the following sets: A={2,4,5} B = {4,9,10,12} C = {1,3,8,9,10,12,14} I)…
A: Answer: Given that A = { 2,4,5 } B = {4,9,10,12} C = {1,3,8,9,10,12,14} Here we will get for AUB is…
Q: -------If R is reflexive, symmetric and transitive then the relation is said to be Floor(2.4) +…
A:
Q: Consider the following relation, select the unsatisfied fun AB.C 2 b 2 d f f 3 e f 1 hf 2 2 i Select…
A: The simplest way to identify the functional dependencies is checking whether we can uniquely…
Q: Definition (hints): a = b(mod m), read "a is congruent to b mod m," if m|(a - b); that is, %3D (a -…
A: False
Q: 3. (MS) Consider the relation R6 on P({0,1,2, 3}) such that (A, B) e R6 if and only if A C B. Select…
A: This is of discrete mathematics
Q: Let R be the relation on the set {a,b,c,d} containing the ordered pairs (a,a), (a,c), (b,b), (b,c),…
A: Let R is a relation on a set A, that is, R is a relation from a set A to itself. Then R◦R, the…
Q: For the following recurrence relation: express T(n) using the e-notation. T(n) = if n = 1 {2T(n-…
A: Answer is: T(n) = O(2n) = omega of(2n) = theta of(2n)
Q: Find the flaw in the following argument. The claim is false. Do not give a counterexample. Instead,…
A: Step 1:- Introduction:- First of all, I am talking about the reflexive, symmetric, and transitive…
Q: The possible solution to the recurrence relation T(n)= 2T(n/4) + 1 a θ(n) b θ(n2) c…
A:
Q: b) Given the following relations: A B C 1 5 7 10 4 6 9 r a T В 8 11 S A B μ D 4 12 Find (i) the…
A: Given that, first table contains 3 columns A, B and C. Second table contains 3 columns that are A, D…
Q: Write a PYTHÔN script to find the alue of Z from the following relation m× 2"50 Σ1 50 xiyi Vp- 4 Z =
A: The program as user to enter 50 values of X and 50 values of Y. p will the number of odd numbers in…
Q: Find a recurrence relation including necessary initial conditions for the number of bit strings of…
A: Here is my thought process/work, could someone please help me figure out where I'm going wrong?…
Q: ¬P ∧¬Q≡¬(P ∨Q) Prove the following equivalency relation (Proof, Justification/explanation):
A: ¬P ∧¬Q≡¬(P ∨Q) Prove the following equivalency relation (Proof, Justification/explanation) Given…
Q: 3.7 Consider a fuzzy relation RC A × A where A = {a, b, c}. R a b d e a 1 1 1 1 1 1 d. 1 1 1 1 a)…
A: Answer: our instruction is answer the first three part from the first part and . I have given…
Q: Let R be a relation on the set of all real numbers, where (x, y) E Rif and only if a y is an…
A: 2) Given, Let R be the relation on the set of all real numbers defined where(x,y)ER if and only if…
Q: The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x…
A: Answer: The domain of relation D is the set of positive integers. For x, y ∈ Z+, xDy if x evenly…
Q: QUESTION 3 he domain for the relation R is the set of all integers. For any two integers, x and y,…
A: Answer: Our guidelines is answer the first three sub part form the first part
Q: Given X = {1,3,5}. R1 is a relation on X, defined by aRīb if and only į la – b| is an even integer.…
A: Here in this multi part question.in the first one we have asked to find realtion element and it's…
Q: Let R = {(2, 2), (2, 4), (2, 3), (2, 6), (3, 3), (3,6), (6, 6)} where P={ (a,b) | (a,b) ER if a is a…
A: Given : R={(2,2),(2,4),(2,3),(2,6),(3,3),(3,6),(6,6)}
Q: Let R be the relation on the set A = {1, 2, 3} such that R is {(1,1) ,(1,2), (2,2),(2,3), (3,1),…
A: Let's discuss about Reflexive and symmetric relation. Reflexive Relation A relation R on a set A is…
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- Given set A={1,2,3,4,5} and let R and S be a binary relation on set A. ? = {(?, ?) ? ??? | ?|? } ??? ? = {(2,1), (2,3), (3,4), (3,5), (4,5)} a.) Evaluate the Domain and Range of SoR. b.) Evaluate (???) −1 ??? ??? ̅̅̅̅̅.If the relation r has x tuples and relation s has y tuples, how many tuples are in r x s? A) x + y B) xy C) min(x, y) D) max(x, y)With a simple example, explain aproximiation and how it may be accomplished using a fuzzy relation.
- . A relation R on a set S, defined as x R y if and only if y R x. This is an example of?a) reflexive relationb) symmetric relationc) transitive relationd) invalid relationConsider a relation R(A, B, C, D, E, F), with FDs AB → C , BC → D, D → E, BE → F and DF → C.1. Is R in BCNF? Explain why or why not.2. Find the closure of the following:1. (A, B)2. (B, D)3. (D, F)3. List one superkey of R that is not a (minimal) key4. _______ allow us to identify uniquely a tuple in the relation. a. Superkey b. Domain c. Attribute d. Schema
- Consider the relation R(A, B, C, D, E) and the set F = {AB → CE, E → AB, C → D}. What is the highest normal form of this relation? Explain your answer.Is each of the following statements true or false? Please explain. a. If a signature σ is infinite (i.e. contains infinitely many symbols), then a σ-formula can have infinite length. b. Let σ := (c, f, ·, <) be a signature, where c is a contant symbol, f is a unary operation symbol, · is a binary operation symbol, and < is a binary relation symbol. Then ϕ(y, z) := ∀x(f(x) · c < x) is an extended σ-formula whose interpretation in each σ-structure is a binary relation. c. For any signature σ and any σ-structure A := (A, σA), if a set D ⊆ Ak is definable (A-definable here), then it is P-definable for some finite P ⊆ A.Implement in Python / Java Algorithm: Testing for lossless (nonadditive) join property. Input: A universal relation R, a decomposition D = { R1, R2, R3, ….. Rm } of R, and a set F of functional dependencies. 1. Create an initial matrix S with one row i for each relation in Ri in D, and one column j for each attribute Aj in R. 2. Set S(i, j) := bij for all matrix entries. (* each bij is a distinct symbol associated with indices (i, j) * ) {for each column j representing attribute Aj {if (relation Ri includes attribute Aj ) then set S(I, j):=aj;};}; (* each aj is a distinct symbol associated with index (j) *) 3. For each row i representing relation schema Ri {for each functional dependency X → Y in F {for all rows in S which have the same symbols in the columns corresponding to attributes in X {make the symbols in each column that correspond to an attribute in Y be…