Given following set: {1, {2, 3}, 4, {{5}}}
a) What is the cardinality of the power set?
b)Give the powerset?
a) 16 b) {{}, 1, {2, 3}, 4, {{5}}, (1, {2, 3}), (1, 4), (1, {{5}}), ({2, 3}, 4), ({2, 3}, {{5}}), (4, {{5}}), (1, {2, 3}, 4), (1, {2, 3}, {{5}}), (1, 4, {{5}}), ({2, 3}, 4, {{5}}), (1, {2, 3}, 4, {{5}})}
Given following set: {1, {2, 3}, 4, {{5}}} a) What is the cardinality of the power...
show that the oven set has a cardinality of No by establishing a one- to-one correspondence between the elements of the given set and the clements of N 39 27 Ween the given set and the set of natural numbers N is given by the following general correspondence show that the oven set has a cardinality of No by establishing a one- to-one correspondence between the elements of the given set and the clements of N 39 27 Ween the...
Write a Python function cardinality() that takes in three Python set objects, representing sets of between 0 and 50 integers, AA, BB, and UU. Your function should return a single non-negative integer value for the cardinality of the set below. AA and BB are subsets (not necessarily proper) of the universal set UU. |P(A¯¯¯¯∩B)||P(A¯∩B)| Note 1: You can copy-paste the code declaring the various visible test cases below. We strongly encourage you to do this to test your code. Note...
python code The power set of a list L is a list containing all possible combinations of the elements of L. For example, the power set of [1, 2, 3] is [[], [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3]]. Section 9.3 of your textbook describes a (subtle) algorithm for generating the power set. • Read and understand the structure of the code in Figure 9.6 • Write (your own) function powerset(L) that generates and returns...
Question 4 (a) If = {0,1,2}. What is »?? What is the cardinality of 54? (b) Build a finite automaton that accepts every binary string that contains 101. (c) Write a regular expression for the language of all binary words that does not contain ab. (d) What is the language of the following regular expression b*a*b*a* ? Give three words that are and three words that are not in this language. (e) Give a context-free grammar G such that L(G)...
2) Given the universal set (1,2, 3, 4, 5, 6,7,8, 9, 10) and sets A 1, 6, 8,9), B (3,4, 5,7, 10), C- (2, 5,9), and D (4, 6, 7, 9), answer the following: (4 pts each) a) What is BUC'? b) What is AnD? c) What is Bn(A UC)?
Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2,5, 6, 7, 8, 14, 18} Set B = {1, 2, 3, 4, 7, 9, 10, 11, 12, 14, 18, 19, 20} Find the following: The cardinality of the set (A U B): n(AUB) = The cardinality of the set (A n B): n(An B) is You may want to draw...
Let A = {1, 2, 3} and B = {2, 3, 4, 5}. Find the cardinalities of the following sets: (i) A ∪ B (ii) A ∩ B (iii) A \ B (iv) B \ A (v) P(A ∪ B) Exercise 1.2. Let A = {◦, {◦}, {∅}} and let B = {∅, {◦}}. Find the cardinalities of the following sets: (i) A ∪ B (ii) A ∩ B (iii) A \ B (iv) A × B (v) P(A) Exercise...
Consider the following matrix: 1-5 -5 -1 3 A-1 5 5 2 -4 2-10-10 0 4 Give a set of vectors that spans each of im(A) and null(A) Number of Vectors: 1 Spanning set for im(A) Number of Vectors: 1 Spanning set for null(A)30
1. Let A be the set {e, f, g, h} and B be the set {e, g, h}. a. Is A a subset of B? b. Is B a subset of A? c. What is A Ս B? d. What is A x B? e. What is the power set of B? 2. Determine whether these statements are true or false? a. ∅ ∈ {∅} b. {∅} ∈ {∅} c. {∅} ⊂ {∅, {∅}} d. ∅ ∈ {∅, {∅}} e....
+0+ -5 -4 -3 -2 -1 0 1 2 3 4 5 How can this set be expressed using inequalities? o a.) - 2<x<4 O b.) - 25x54 oc.) -2<x54 d.) - 25x4 sh + -5 -4 -3 -2 -1 0 1 2 3 4 5 How can this set be expressed using inequalities?