Define Correctly “P is an order”
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Define Correctly “P is an order”
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- Construct a DFA A so that L(A) = L(N) where N is the following NFA:Let L = {w = [a, b}*: every a in w is immediately followed by at least one b}.Exercise 1: The number of combinations CR represents the number of subsets of cardi- nal p of a set of cardinal n. It is defined by C = 1 if p = 0 or if p = n, and by C = C+ C in the general case. An interesting property to nxC calculate the combinations is: C : Write the recursive function to solve this problem.
- 3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.Exercise: Verify the equivalence in each of the following statements. a) p^q= (p V q) b) p → q = (p → q) ^ (q → p)True or false Any iterative function can be implemented recursively. Typically, recursive sorts are more efficient than iterative sorts.
- Write a recursive function named Multiply2 that multiples by 2 and prints each element in a given list. For example: mylist=[1,2,3,4] Multiply2(mylist) prints: 2 4 6 8 Note: the function takes only one parameter, which is the list on which the operation will be performed.Computer Science A set M is defined recursively by: 2 and 3 belong to M If x and y belong to M then so does x·y Which of the following numbers belong to M if x≠y?Need help with standard ML languege I need to write a binarySearch function that recursively implements the binary search algorithm to search a sorted integer list for a specified integer and returns true if it is found, false otherwise. For example, binarySearch ([100,200,300,400,500], 200) returns true, whereas binarySearch([100,200,300,400,500], 299) returns false. Hint: Write a helper function mid that returns a tuple (index, value) representing the middle value in a list. For example, mid [10, 2, 40, 8, 22] returns (2,40) because the value 40 at index 2 is the middle value in the list. Similarly, mid [10, 20] would return (1, 20). Use mid in conjunction with slice to implement binarySearch.
- The following recursive definition of a set S over {a, b, c, d}. Basis: "", a, b, c E S. Recursive Step: If ax E S, then bax ES and cax E S. If bx € S, then cbx € S. If cx = S, then bax ES and bcx = S. If dx E S, then ddx E S. Closure: SE S only if it is a, b or c or it can be obtained from a, b or c using finitely many operations of the Recursive Step. a) What recursive step can be removed from the above definition and why? b) Derive from the definition of S that bcbc S. c) Explain why baa & S.In c++ The Fibonacci numbers are a series of numbers that exhibit the following pattern: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … The series starts with 0 and 1, and each subsequent number in the series is the sum of the previous two numbers. The Fibonacci sequence, Fn, is defined by the following recurrence relation: Fn = Fn-1 + Fn-2 Where the initial values are F0 = 0 and F1 = 1. Write a program that prompts the user to enter in a positive integer N and generates the Nth Fibonacci number. Your main function should handle user input and pass that data to a function called Fib that takes integer N as input and returns the Nth Fibonacci number. Include the functions preconditions and postconditions as comments in your source code. Include some basic input validation to make sure the function’s preconditions are met before the function is called. Show your source code and a sample of your program output.Regular expression to NFA to DFA conversion: Describes the process of taking a unique regular expression, converting that regular expression to an NFA, then converting the NFA into a DFA. Your regular expression must have at minimum two union, two concatenation, and two Kleene star operations. As followed, concatenations of single charaters can be condensed. Your regular expression cannot be a solved problem from any book. You should describe the regular expression with both processes to convert the regular expression to an NFA and the conversion of that NFA into a DFA.