Let T be the Turing machine defined by the five-tuples:
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- Compute C7,2arrow_forwardAt the imaginary university e/UT there are 101 students in their first year at M&CS. In their first year the students need to take k courses. To help them the students are registered for tutor groups. The following conditions hold: o Every student is involved in each course. o Each student is involved in one or more tutor groups. o Each tutor group is involved in one or more courses. o Every student in a course is involved in exactly two tutor groups. o Each pair of students is involved in exactly one tutor group. What is k? (Prove your answer.) (Hint: count the total number of registrations for tutor groups.)arrow_forwardWhich of the following are difference sets? (i) {2,3, 5, 11} in Z13,arrow_forward
- Show that the following statement is false. If A and B are two sets of positive integers, then (A∪B)^'=A'∪B'. Include the following in your answer: What technique seems appropriate in this situation? Why? Prove this statement true. Explain the elements of all sets that you use in your answer.arrow_forward–14 -16] -20, a2 Let ai -16 and az -18 -4 -4 -4 The set {a1, a2, az} will span R' unless harrow_forwardD,E,F and G needed to be solved correctly in 10 minutes in the order to get positive feedbackarrow_forward
- Determine whether the given set is basis for M2,2 * same problem split in 2arrow_forward4. The conventional algorithm for evaluating a polynomial anx" + an-1x¹ +... + a1x + ao at x = c can be expressed in pseudocode as Algorithm Polynomial (c, ao, a₁,...,an: real numbers) power = 1; y = ao; for i = 1 to n power power * c; y = y + ai * power return y; Notice that the final value of y is y = anc" + an-1 c¹ +...+ a₁c + ao, the value of the polynomial at x = c. a) Evaluate 3x² + x +1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. b) Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c? (Do not count additions used to increment the loop variable.)arrow_forwardSuppose that A = { 1, 2, 3, 4, 5 } and B = { 1, 3, 5 }. Let R1 = { (1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5) } and R2 = { (1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }. List the relations R1 ∪ R2, R1 ∩ R2, R1 -- R2, R2 -- R1, and R1 ⊕ R2 in order of decreasing cardinality (largest on top).arrow_forward
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