For any context-free grammar G, there exists a DFA DG such that L(Dg) = L(G).

Q: Every equivalence relation is reflexive. True False

A: A relation is said to be an equivalence relation if and only if the relation R is reflexive,…

Q: 5. Using the following context free grammar give a parse tree for the strings. E → E +T|T T → TxF|F…

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Q: R —A/R— is a set. You will need, of course, to find a superset of A/R, that is, a class X

A: To prove the given relation, show that as, reflexivity, symmetry, transitivity.

Q: Example 16. Minimize the four-variable logic function using k-map : f(A, B, C, D) = E (0, 1, 2, 3,…

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Q: A relationR on a set A is called equivalence if R is:

A: Equivalence Relation: A relation R on a set A is said to be an equivalence relation if and only if…

Q: How many equivalence relations on A=|42| are there that have distinct equivalence classes of size 4,…

A: Given A=|42| and distinct equivalence classes of sizes 4, 7,7, 8,8, and 8.

Q: is the following relation a functic {(1, 5), (-1, 7), (1, 8), (-4,9)} yes no

A: 1, 5, -1, 7, 1, 8, -4, 9.

Q: PROBLEM1 Instruction: Prove that the relation is  an equivalence relation.  For x, y ∈ R say x is…

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Q: [A] A purchase order for the book The MathematicalTourist by Ivars Peterson includes the ISBN…

A: Given question is to check valid ISBN and valid UPC. [A] Given ISBN number ISBN 978-0-760-73261-6…

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:

Q: 4. a) Define the following terms: i) POSETS ii) Equivalence relation

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A B

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Q: Let G = (V, E, R, S) be a grammar with V = {Q, R, T}; { = {q, r,ts}; and the set of rules: Q>q| RqT…

A: Image is attached with detailed solution.

Q: {(a, b) acb, a and b are finite set of integers}

A:

Q: Show that any 2-cut relation (for > 0) of a fuzzy equivalence relation results in a crisp…

A: Let's take the fuzzy relation: R = 10.800.10.20.810.400.900.41000.10010.50.20.900.51 Fuzzy tolerance…

Q: Create the logic circuit diagram for F= XY’ + XZ

A: Given problem Given that   F= XY’ + XZ

Q: Match the pairs of strings of English letters on the left with the equivalence relation on the right…

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Q: Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all…

A: Given that, Let Cix y) mean that student x is enrolled in class y, where the domain of x is consists…

Q: 2. For each equivalence relation below, find the requested equivalence class. a. R = { (1,1), (1,…

A: As per our company guidelines we can solve only the first three subparts. Kindly re Post the other…

Q: the set of students at your school who either are not sophomores or are not taking discrete…

A: Given: Suppose that A is the set of sophomores at the school and B is the set of students in…

Q: (d) Define a Context-Free Grammar. (e) What is the Universal Turing Machine? (f) Define Chomsky…

A: d. context free grammer:-A context free grammer consisting of a finite set of grammer rules is a…

Q: Find the restrictions on x, if any. Enter your answers as a comma-separated list

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Q: Let A equal the set of all strings of O's, 1's, and 2's that have length 4 and for which the sum of…

A: To show R is an equivalence relation, we have to show that R is Reflexive, Symmetric, and…

Q: (d)Give the equivalence class of string s = '1010' with respect to the relation R [*1010') =

A: .

Q: Write V as a set of ordered pairs. (Enter your answer in roster notation.) (c) Write the domain set…

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Q: Show that each of the following relations equivalence classes. on Z is an equivalence relation, and…

A: In the given question we have to find the equivalence classes.

Q: Suppose that P is a unary relation symbol, Q is a binary relation symbol, f is a unary function…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: The lower boundary of modal class with size 15 is 40.The frequency of this class is 7. Find the mode…

A: Size of class is 15, and lower boundary is 40.

Q: Given the context-free grammar G below: S → aSb|bSa|SS[A (a) Draw a derivation tree for the string…

A: Given:-             Given the context-free grammar G below:…

Q: Since by definition a language L over an alphabet A is just a subset of A*, the set of all languages…

A: If no condition of a language is given, then the above statement is true and the reasoning for the…

Q: (d) Give an example of an equivalence relation on the set f1,2, 3} with exactly two equivalence…

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Q: Decide whether the following relations is a partial order or not. (a, b) | a Í b, a and b are…

A: We have to decide whether given relation is partial order or not?

Q: Show that the set T := {(x, y) E Z × Z | x+y is even number } is an equivalence relation on the set…

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Q: Draw the Hasse diagram for the relation C on the set P({1,2,3}).

A: According to the given information, it is required to draw the hasse diagram for the given relation.

Q: Prove that for any regular expression R holds R∗ = R∗R∗ . and find the grammar for ({a ^n b c^n | n…

A: Let us take that :…

Q: (e) Finally, your tutor Eric wants you to help your friend Riley by answering true or false and then…

A: The equation of three degree has maximum three real roots.

Q: Which of the following definitions of the functicn fis recursive A f(x) = x + g(x) B f(x) = g(h(x))…

A: We have to find the recursive function

Q: For the circuits corresponding to the Boolean expressions in the example there is an equivalent…

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Q: The relation defined as x ~ yx ≡ y (mod7) for x, y ∈ Z in Z Write the equivalence classes by writing…

A: Relation R is defined in Z as x≡y(mod 7)  (difference of x and y is multiple of 7) Reflexivity : For…

Q: Consider the following binary relation: Vx, y E R?, x Ey if x1 > Yı (indepen- dent of x2 and y2) or…

A: We will use the basic knowledge of relations to answer this question correctly and completely.…

Q: Is the relation aRb → ab < 0 an equivalence relation on the set Z? Justify your answer.

A: Given a relation, aRb⇔ab≤0. To check whether R is an equivalence relation on set ℤ. A relation is an…

Q: There are as many equivalence classes as there are which of the following? (Select all that apply.)

A: There are many equivalence classes.

Q: Show that any 1-cut relation (for 1> 0) of a fuzzy equivalence relation results in a crisp…

A: Consider the fuzzy relation: R =10.800.10.20.810.400.900.4100010010.50.20.900.51 Fuzzy tolerance…

Q: It was noted that the binary propositional operators, A and V, can be regarded as functions, f: B x…

A: For any binary operator, number of rows in the truth table =4 Each row can have either True or False…

Q: (b) By the Equivalence Relation Theorem, there is an equivalence relation R on Z50 such that P is…

A: A relation from X to X is called a relation in X.  If R is in X and: xRx ∀x ∈ X ⇒ R is refelexive…

Q: ave a class boundary that is less than zero?  On the probelem I am working, the class goes from 0-5

A: Class boundaries are the values which help in separating the data points in statistics.

Q: Explain why consimilarity is an equivalence relation on M,.

A: Given that consimilarity is an equivalence relation on Mn.

Q: (1) Find a grammar that generates language L = {b" : n 2 0 }.

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.