Let S be set of all strings of a's and b's. Define a relation R on S as follows: Vs,t E S, sRt + L(s) < L(t) Where L(x) denotes the length of the string. Is R symmetric or antisymmetric? Explain with an example.
Q: Let A={3,5,7,9}, B={2,3,5,6,7}, and C={2,4,6,8} be all subjects of the universe U={2,3,4,5,6,7,8,9}.…
A: Ans: A={3,5,7,9}, B = {2,3,5,6,7} and C= {2,4,6,8} U= {2,3,4,5,6,7,8,9} a) The union of A and B =…
Q: Bayesian Networks Exercise 1 Given the following BN P(H) 0,1 H H P(S) S T 0,3 F 0,9 H S P(T) IT 0,9…
A: # importing libraries from pgmpy.models import BayesianModel from pgmpy.factors.discrete import…
Q: What is the complexity of computing P(X1|Xn = true) using enumeration? What is the complexity with…
A: please check step 2 for solution & explanation
Q: for S., for. 3., say. Considering all binary strings tes, sht if and only if s=t, what are. all. the…
A: Please give positive ratings for my efforts. Thanks. ANSWER The bit strings equivalent to 0111…
Q: Consider the set F = {1, −1, i, −i} with an operation ✕ defined by the table. ✕ 1 −1 i −i 1 1 −1…
A: Given Data : Table of operations : X 1 -1 i -i 1 1 -1 i -i -1 -1 1 -i i i i -i -1 1 -i -i…
Q: Given a string s and a boundary k, you really wanted to check if there exist k+1 non-void strings…
A: Here have to determine about the string s and a boundary problem statement.
Q: 2) Is aa distinguishable from bb with respect to the set of strings over {a,b} that have an even…
A: ^b*(ab*ab*)*$^a*ba*(ba*ba*)*$The first regular expression ensures there are an even number of a…
Q: What is Post Correspondence Problem? Test whether the following PCP instance has a solution or not.…
A: The Post Correspondence Problem (PCP) is an undecidable decision problem, which determines the…
Q: is an ordered * .collection of objects relation O set non of them O O O
A: A relation is a collection of ordered pairs containing one object from each set. So option a is…
Q: Let R(A, B, C, D, E) be a relation with the set of FD's: F = {D → C, C → D, D →A, C –→ A, E → C, E…
A: To find the canonical cover of F find the closures of left hand side variables we have F={…
Q: Show by membership that for all sets A, B and C: A – (AnB) CA – B
A: We've done so. A−(A∩B) =A∩(A∩B)c [ Because we have XY=XYc for any two non-empty sets X and Y, where…
Q: 9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two…
A: Answer is given below with full description
Q: Let A equal the set of all strings of 0's, 1's, and 2's that have length 4 and for which the sum of…
A: A = { 0000, 1000, 0100, 0010, 0001, 1100, 1010, 1001, 0110, 0101, 0011, 2000,…
Q: Consider the Universal Set U= {1,2,3,...} and sets A={1,2,5,6} „B={2,5,7},C={1,3,5,7,9} the AIC is…
A:
Q: Given two strings r = x1x2··· In and y = common subsequence, that is, the largest k for which there…
A: Given two questions are not interlinked. As per our guidelines, only one will be answered. So,…
Q: Show by membership that for all sets A, B and C: A - (AnB) CA-B
A: We are given a relation in sets and we have to prove whether given relation is true or not. We will…
Q: For the open sentence P(x):3x-2>4 over the domain Z, determine: (1) the values of x for which P (x)…
A: GIVEN:
Q: O be the set of odd numbers and O’ = {1, 5, 9, 13, 17, ...} be its subset. Define the bijections, f…
A: A) The answer is an given below :
Q: Suppose that relations R and S have n tuples and m tuples respectively. What is the maximum number…
A: Number of tuples in natural join of relations R (n tuples) and S (m tuples) are : 0 <= (tuples in…
Q: a = (P→ (Q→R)) → ((P→Q) → (P→ R)) is a tautology or not ? Prove
A: Solution -
Q: 3) Is aa distinguishable from bb with respect to the set of strings over {a,b} that end with bbb? If…
A: Proved that the distinguishable from aa to bb in the given language
Q: Suppose X is a subset of vertices in a G = (V,E). Give a polynomial-time algorithm to test whether…
A: A vertex cover of an undirected graph is a subset of its vertices such that for every edge (v, e) of…
Q: Given a universal set, U = {a, b, c, e, f, g, h, k, m}, and the the ff. sets: A = {a, b, c} B = {a,…
A: Given, U = {a, b, c, e, f, g, h, k, m} A = {a, b, c} B = {a, c, f, h, m} C = {c, e, g, k,…
Q: Let M be a FSM with n states. Let p and q be distinguishable states of M and let x be a shortest…
A: A finite deterministic automation M (transducer, Mealy machine, n M (transducer, Mealy machine,…
Q: What is the reflexive transitive closure R* of the relation {(a,b), (a, c), (a, d), (d, c), (d, e)}?…
A: here for any relations first we see the definatio of the reflexive and transitive closure :…
Q: Prove that if X is an answer set of a traditional program P so that for some rule A0 ←…
A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…
Q: The relation R = {(a,b), (b,a)} on the set A = {a,b} is: %3D O Reflexive O Antisymmetric O…
A: A relation is collection of ordered pair which contains elements from set.
Q: e. Redraw this network as a map. K M N
A: Note : As per guidelines answering 1st 3 subparts when multiple subparts question is posted.
Q: Consider a DFA over E = {a, b} accepting all strings which have number of a's divisible by 6 and…
A: Here in this question we have given a DFA which accept all string where number of a are divisible by…
Q: Let G = (V, E) be a DAG, where every edge e = ij and every vertex x have positive weighs w(i,j) and…
A: Directed Acyclic Graph (DAG) is a directed graph with no directed cycles. That is, it consists of…
Q: For each pair of atomic sentences, give the most general unifier if it exists: 1. P(N, M, z), P(x,…
A: Please upvote. I am providing you the correct answer below. please please please please.
Q: (8) Consider an undirected graph G, and the relation R(u, v) that is defined as “there is a path…
A: According to the information given:- We have to find in correct option to satisfy the condition.
Q: Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S,…
A: Reflexive Transitive Closure is the accessibility matrix to get from vertex u to vertex v of a…
Q: On S = f2; 4; 6; 10; 12; 20; 30; 60g we work with the divisibility relation R: xRy , x divides y:…
A: Given set, S = { 2, 4, 6, 10, 12, 20, 30, 60 } let R be the relation mentioned here, x R y , x…
Q: Using list xs :: [Int], prove the definition does not satisfy the law
A: A functor is a function that takes a function, fmap (say) that returns another function. fmap() is…
Q: Consider the production S→ AB If A is nullable and B is non-nullable, which of the following set…
A: Given S -> AB Also Given A is nullable that is A has a production with epsilon present in it. B…
Q: Suppose that relations R and S have n tuples and m tuples respectively. What is the minimum number…
A:
Q: Consider the formula B = 3x3y3z. p(x,y) p(x, z) ^ ¬p(y, z). For each of the following…
A: Hey there, I am writing the required solution for the above stated question.
Q: Show by membership that for all sets A, B and C: AU (B – A) C AUB
A: Assume, A= {1,2,3,4,5} B= {6,7,8}
Q: Suppose that relations R and S have n tuples and m tuples respectively. What is the minimum number…
A:
Q: computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two…
A: A recurrence relation is an equation that defines the value of a function and the derivative at a…
Q: following represents a powerset of a set o (a) • (0, fa), (0,a}} Clear my choice The inverse of the…
A: The given question is about the power set and the inverse proposition. The power set is a collection…
Q: Let A = {x, y} ; B = {1,2,3}; and C = {a, b}, then `A B×C=.. إجابتك Let A and B be two sets. We say…
A:
Q: pAp Consider the partal order on the set X(a. b.c.d.e.1)with the following relations aくも くe もくe もく。…
A: Given set is, X={a, b, c, d, e, f} Given partial order sets are: a<=b, a<=c, b<=c, b<=d,…
Q: The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is…
A: The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is…
Q: 1. Prove that p E F- [p] E F$. (Hint: the forward direction is immediate. For the converse, consider…
A: Solution: \documentclass{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{enumerate}…
Q: Suppose that relations R and S have n tuples and m tuples respectively. What is the minimum number…
A:
Q: Suppose L is a subset of {a, b}". If xo,x1,... is a sequence of distinct strings in {a, b}* such…
A: INTRODUCTION: A subset of a, b* is the language L. Take a look at the succession of unique strings…
Q: AUTOMATA question Find RE for Σ = {a, b} that generate the sets of: (a) all strings with exactly…
A: all strings with exactly one a means L={a,ba,ab,aba,abbb,bbba,.............} From the above…
The class I'm taking is computer science discrete structures.I am completely stuck.
Please help!
If you can please add an explanation with answer so I can better understand .
Problem is attached!
Thank you!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- Define a sequence c0, c1, c2, … of pictures recursively as follows:For all integers i ≥ 1 Initial Conditions, c0 = an upright equilateral triangle ?. Recurrence Relation, ci = in centre of each upright equilateral triangle in ci-1, draw an upside down equilateral triangle ? such that its corners touch the edges of the upright one. Draw the first 4 iterations, starting with c0. You may want to draw c3 large. Each should be a separate drawing.Get your work checked by an IA/TA/Instructor. Count the total # of triangles for each iteration in a).Note: Triangles can be of any orientation.Only count the individual triangles. Do not count a triangle which has triangles inside it. Determine T(0), the # of triangles in the 0th term. Determine the recurrence relation, T(n), that gives the # of triangles in the nth term, for n ≥ 1.Define a relation S on B={a,b,c,d} by S={(a,b),(a,c),(b,c),(d,d)}. Draw the directed graph of relation S.Show that the relation R consisting of all pairs (x, y) suchthat x and y are bit strings of length three or more thatagree except perhaps in their first three bits is an equivalence relation on the set of all bit strings of length threeor more.
- Implement the following Racket functions: Reflexive-Closure Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive-Closure should return the reflexive closure of L. In mathematics, the reflexive closure of a binary relation R on a set X is the smallest reflexive relation on X that contains R. (https://en.wikipedia.org/wiki/Reflexive_closure) Examples: (Reflexive-Closure '((a a) (b b) (c c)) '(a b c)) ---> '((a a) (b b) (c c)) (Reflexive-Closure '((a a) (b b)) '(a b c)) ---> '((a a) (b b) (c c)) (Reflexive-Closure '((a a) (a b) (b b) (b c)) '(a b c)) ---> ((a a) (a b) (b b) (b c) (c c)) (Reflexive? '() '(a b c)) ---> '((a a) (b b) (c c)) You must use recursion, and not iteration. You may not use side-effects (e.g. set!).Let X be the set of all 4-bit strings (e.g. 0011,0101,1000, etc.). Define a relation R on X as (s, t) ∈ R if and only if some substring of s of length 2 is equal to some substring of t of length 2. For example, (0111, 0101) ∉ R because both 0111 and 0101 contain 01; however, (1110, 0001) R because 1110 and 0001 do not share a common substring of length 2. Is this relation reflexive, symmetric, transitive, or antisymmetric? Prove your answerusing Prolog <list , backtracking , recursion> ,,, Implement "is_friend" which makes the "friend" relation a symmetric relation (i.e., if X is friends with Y then Y is friends with X). Examples:?- is_friend(ahmed, samy).true.?- is_friend(samy, ahmed).true.Note: In the knowledge base, we have only one relation for Ahmed and Samy. example 2 Get the list of all friends of a given person.Examples:?- friendList(ahmed, L).L = [samy, fouad].?- friendList(huda, L).L = [mariam, aisha, lamia]. example 3 Get the number of friends of a given person. (For the "count" rule, use tail recursion)Examples:?- friendListCount(ahmed, N).N = 2.?- friendListCount(huda, N).N = 3. example 4 : Suggest possible friends to a person if they have at least one friend in common (atleast one mutual friend). Make sure that the suggested friend is not already a friend ofthe person.Examples:?- peopleYouMayKnow(ahmed, X).X = mohammed;X = said;…?- peopleYouMayKnow(huda, X).X = hagar;X = zainab;X = hend;X =…
- Suppose you have a signature scheme S (which is correct and existentially unforgeable), and S can be used to sign any t-bit message. And you have a hash function H which outputs t bits and is collision-resistant. Consider a modified signature scheme S’ which can sign messages of unlimited length, where: S’.Sign(sk, m) = S.sign(sk, H(m)) Prove that this scheme is existentially unforgeable as long as S is existentially unforgeable and H is collision-resistant.Suppose a Bayesian network has the from of a chain: a sequence of Boolean variables X1, . . . Xn where Parents(Xi) = {Xi−1} for i = 2, . . . , n. What is the complexity of computing P(X1|Xn = true) using enumeration? What is the complexity with variable elimination? Please explain.Let A = {2,3,4,5} and let R be a relation on A such that xRy if and only if x+y>=4. (a) List the elements of R. (b) Draw a directed graph representation of R (c) is R reflexive? is R symmetric? Is R transistive? Justify your answer to each.
- Let R ⊆ A × A be a a binary relationship defined in a non-empty set A. Let B be any set so that B⊆ A. Define the set Rb as RB := R ∩ (B × B). 1.) How to show that if R is reflexive, symmetric and transitive then Rb also is. 2.) Is the opposite true? Demonstrate truth or falseness. 3.) If R is antisimetric, is Rb antisimetric too?Let S be a set and let C = (π1, π2,...,πn) be an increasing chain ofpartitions (PART(S), ≤) such that π1 = αS and πn = ωS. Then, the collection HC = ni=1 πi that consists of the blocks of all partitions in the chain is a hierarchy on S.Consider the (directed) network in the attached document We could represent this network with the following Prolog statements: link(a,b). link(a,c). link(b,c). link(b,d). link(c,d). link(d,e). link(d,f). link(e,f). link(f,g). Now, given this network, we say that there is a "connection" from a node "X" to a node "y" if we can get from "X" to "Y" via a series of links, for example, in this network, there is a connection from "a" to "d", and a connection from "c" to "f", etc.