The powerset of a set S is defined as the set of all subsets of S (including the empty set). For example, the powerset of {1,2} is {{1,2}, {1}, {2}, {}}. Write an SML function called powerset: 'a lista list list that when given a list representation of a set as input returns its powerset as output.
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- emacs/lisp function Write a function that takes one parameter that is a list of numbers and returns true (t) if all the elements of the list are multiples of the first one and nil otherwise. This said, a list generated by the function make-multiples could be passed to this new function and the result should be true. On the other hand, show an example of a list that could not have been generated by the first function for which the result is still true.Write a function REMOVE-NUM that takes a list and returns a list consisting of the original list with all numeric atoms removed. Examples: (REMOVE-NUM '(2 A 6 B 1 C 7 D)) returns the list (A B C D) (REMOVE-NUM '(3 A 4 B (1 E) 7 D)) returns the list (A B (E) D)Write a function get_list_avg() that expects a parameter main_list (a list of lists) and returns a new list that contains the average of each sub-list in main_list. The function should return an empty list if the main_list is empty. this is my answer: def get_list_avg(main_list ): new_list = [] for sublist in main_list: avg = sum(sublist) / len(sublist) new_list.append(avg) return new_list main_list = input() print(get_list_avg(main_list))
- Write a function foldl (also called reduce) with type: foldl: ('a * 'b -> 'b) -> 'b -> 'a list -> 'b The type ('a * 'b -> 'a) is the type of the input function (say f), 'b is the type of an initial value, and 'a list is the type of the input list. foldl(f,init, [x1,...xn]) returns f (xn,...,f(x2, f(x1,init))...) For example, we have: - fun plus (x,y) = x + y + 0 foldl (plus, 0, [1,2,3,4]) ; val it = 10 : int fun foldl (f: 'a*'b->'b) (init: 'b) (1: 'a list): 'b = case 1 ofWrite a function that accepts two lists as it's only arguments. The function should return a new list containing all the elements of the two list arguments. For example, if the function was passed the lists [1, 2, 3] and [4, 5, 6], it would return a new list containing [1, 2, 3, 4, 5, 6]Write a function toSentence : string list -> string = that takes a string list and concatenates its elements by adding a space in between each element, however it adds both a period and a space (* ") if the element of the list succeeding it begins with a capital letter. Empty strings ignored as if we had the list without them. *" are to be # toSentence ["";"That 's" ;"one";"small";"step";"for";" man ,";"";"one";"giant ";"leap";"for";"mankind"; Neil";" Armstrong"];;
- 1.In a linear linked list, write a function named changeFirstAndLast that swaps the node at the end of the list and the node at the beginning of the list. The function will take a list as a parameter and return the updated list. 2. A singly linear list stores integer values in each node and has multiple nodes. Write a function using given prototype below. This function cuts the first node of the list and adds it to the end as last node. It takes beginning address of the list as a parameter and returns the updated list.struct node* cutheadaddlast(struct node* head);struct node { int number; struct node * next; }; 3.Adding the even numbers to the beginning of the list and odd numbers to the end of the list until -1 is entered from keyboard.struct node { int number; struct node * next; }; 4.Write a function that takes two parameters head (list name) and age (given student age). The function deletes node (free this memory location) by finding the second node with the given age value in…Write a function sum_alt that takes a list of numbers zand calculates their alternating sum, defined as n-1 Σ(-1)+1 zk. k=0 Here Zo, Z1, Zn-1 denote the individual elements of the list.An Unsorted Type ADT is to be extended by the addition of functionSplitLists, which has the following specifications:Function: Divides list into two lists according to the key of item.Preconditions: list has been initialized and is not empty.Postconditions: list1 contains all the items of list whose keys are less than orequal to item’s key; list2 contains all the items of list whose keys are greaterthan item’s key. - Implement SplitLists as a client function of the Unsorted list ADT
- 3. Write a function to return the median value in a sorted linked list. If the length i of the list is odd, then the median is the ceiling(i/2) member. For example, given the list (1, 2, 2, 5, 7, 9, 11) as input, your function should return the value 5. If the length of the list is even, then the median is the mean of the i/2 and (i/2)+1 members. Thus, the median of the sorted list (2, 4, 8, 9) is (4+8)/2. Finally, define the median of an empty list to be 0.An Unsorted Type ADT is to be extended by the addition of functionSplitLists, which has the following specifications:Function: Divides list into two lists according to the key of item.Preconditions: list has been initialized and is not empty.Postconditions: list1 contains all the items of list whose keys are less than orequal to item’s key; list2 contains all the items of list whose keys are greaterthan item’s key.b. Implement SplitLists as a linked member function of the UnsortedDefine the function (siftNum lst). This function should resolve to all the numbers in the list, lst. For example: (siftNum '(a 8 2 1 m l 90 p 2)) resolves to '(8 2 1 1 90 2).