Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)
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Write down all elements, write in set notation
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- Let A={1,2,3). B={3,4,5,6}, and C={6,7,8}.Find (AUB)ᑎC.Write your answer using set notation, i.e. list all elements separated by comma inside braces{} or use the symbol of empty set, if needed Ø. Do not insert any spaces3. 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.enter the answer in set notation.
- ] ] is_proper You are to write a function is_proper(graph,color) that has two inputs: one a graph, and the other a labelling of the vertices, and determines whether or not the labelling is a proper vertex-coloring of the given graph. In other words, return the Boolean value True if it is, and False if it is not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 2, "C": 3}), is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 1, "C": 3})) This should return True False Python Python(a,b} u {} = {a,b} True False The order of the elements in a set is important True False The empty set is a subset of every other set True False### Q7: Set to Numbers def create_n_to_tuple(): """Tuple to Integer In set theory, we can represent natural numbers recursively initially with empty sets. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers We will use tuple in place of set to implement this representation. you will define two functions n_to_tuple and tuple_to_n, and return two function. The functions' specification is: n_to_tuple Args: n (int): an integer. Returns: t (tuple): tuple representation of the integer. None if integer cannot be represented. tuple_to_n Args: t (tuple): tuple representation of the integer Returns: n: integer which t represents -1 if tuple is invalid. # We will implement a time test on this function. >> n_to_tuple, tuple_to_n = create_n_to_tuple() >> n_to_tuple(0) () >> n_to_tuple(1) ((),) >> n_to_tuple(2) ((), ((),)) >>> r = n_to_tuple(-1) >>> print(r) None >> tuple_to_n(((), (),), (),)), ((), (),)))) # invalid -1 ### Modify your code here return ### Modify your code here
- • Definition: The intersection of sets A and B, denoted by AN B, is {x|x € AAx E B} • Note if the intersection is empty, then A and B are said to be disjoint. Example: What is? {1,2,3} N {3,4,5} ? Di- fou 4 oDLet A-(a), B-{b}. Find AUB. Write your answer using set notation, i.e. list all elements separated by comma inside braces[) or use the symbol of empty set, if needed Ø. Do not insert any spaces.* allSame returns true if all of the elements in list have the same value. * allSame returns false if any two elements in list have different values. * The array may be empty and it may contain duplicate values. * * Your solution should contain at most one loop. You may not use recursion. * Your solution must not call any other functions. * Here are some examples (using "==" informally): * * * * * * * * true == allSame (new double[] { }) true == allSame(new double[] {11}) true == allSame (new double[] { 11, 11, 11, 11 }) false == allSame(new double[] { 11, 11, 11, 22 }) false == allSame (new double[] { 11, 11, 22, 11 }) true == allSame (new double[] { 22, 22, 22, 22 }) * */ public static boolean allSame (double[] list) { return StdRandom.bernoulli(); //TODO: fix this
- Do not use 2d lists, sets, dicts, arrays or recursion. Code in Python. Write the function destructiveRemoveRepeats(L), whichtakes a list L and destructively returns a new list in which any repeating elements in L are removed. Thus, this function should directly modify the provided list to not have any repeating elements. Since this is a destructive function, it should not return any value at all (so, implicitly, it should return None). For example: L = [1, 3, 5, 3, 3, 2, 1, 7, 5] destructiveRemoveRepeats(L) assert(L == [1, 3, 5, 2, 7])Use set builder notation to describe the following sets:. Let U = Z (all integers), O = odd integers, and E = even integers. { 1, 3, 5, 7 } { –4, –2, 0, 2 } { 1, 2, 3, 4, ... } { ..., –3, –2, 0, 1, 2, 3 } { ..., –3, –2, –1, 0, 1, 2, 3, .... }Topic: Singly Linked ListImplement the following functions in C++ program. Read the question carefully. (See attached photo for reference) int count(int num) This will return the count of the instances of the element num in the list. In the linked list in removeAll method, having the method count(10) will return 3 as there are three 10's in the linked list. Additionally, you are to implement these methods: bool move(int pos1, int pos2) This method will move the element at position pos1 to the position specified as pos2 and will return true if the move is successful. This will return false if either the specified positions is invalid. In the example stated, operating the method move(1, 3) will move the 1st element and shall now become the 3rd element. The linked list shall now look like: 30 -> 40 -> 10 -> 50 int removeTail() This method will remove the last element in your linked list and return the said element. If the list is empty, return 0. You can use the…