Given a positive number n, say n = 36489, we are interested in numbers obtained by sorting digits in n; in this example, number 98643 and 34689. Write a Python function for this purpose.
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Given a positive number n, say n = 36489, we are interested in numbers obtained by...
[10 marks] Assume that we have two decimal positive numbers A and B. Both numbers have n digits. We want to know what is the minimum number of swaps that we need in order to get from number A to B, where in each swap we choose two digits of a number and simply swap them For simplicity, we assume that A and B do not have the digit 0 in them, and that A and B have the set...
We write R+ for the set of positive real numbers. For any positive real number e, we write (-6, 6) = {x a real number : -e < x <e}. Prove that the intersection of all such intervals is the set containing zero, n (-e, e) = {0} EER+
We write R+ for the set of positive real numbers. For any positive real number e, we write (-6, 6) = {x a real number : -e < x <e}. Prove that the intersection of all such intervals is the set containing zero, n (-e, e) = {0} EER+
Problem 2. Let n be a positive integer. We sample n numbers ai,...,an from the set 1, 2,...,n} uniformly at random, with replacement. Say that the picks i and j with i < j are a match if a -aj. What is the expected total number of matches? Hint: Use indicators. Wİ
Let n be a positive integer. We sample n numbers a1, a2,..., an from the set {1,...,n} uniformly at random, with replacement. We say that picks i and j with are a match if ai = aj, i < j. What is the expected total number of matches? Use indicators.
IN PYTHON: Write a function that takes, as an argument, a positive integer n, and returns a LIST consisting of all of the digits of n (as integers) in the same order. Name this function intToList(n). For example, intToList(123) should return the list [1,2,3].
A triangle is expressed by tuples of three positive numbers, which are the length of sides of the triangle. Two triangles a1 and a2 are similar if a2 can be generated by rotating and reflecting triangle a1. For example, t1 = (7, 10, 13) is similar to t2 = (7, 13, 10) since a2 can be obtained by rotating and reflecting t1. (7, 10, 13) rotate −−−→ (10, 13, 7) reflect −−−−→ (7, 13, 10) On the other hand, t1...
Suppose we are given a line segment of length 1. We say that a real number x is constructible if we can construct, with unmarked straightedge and compass, a line segment of length (So for example, -3 is constructible since we can construct a line segment of length 3 by joining three segments of length 1 along the same line.) Prove that the set G of constructible numbers is a field. (Constructible numbers are real numbers, so you don't need...
Use Python 3.7 to write the following program: Given a list of n numbers, write a function to shift the numbers circularly by some integer k (k < n). The function should take a list, the amount to shift k, and an argument specifying the direction to shift (left or right). Suggestion: use the % operation and also you need a number between 0 inclusive and the length of the list.
• Write a JavaFX code that generates Fibonacci number sequence of a certain length (-100 numbers) • The program then uses bucket sort technique to sort the Fibonacci numbers based on the order of their division by the digits 2,3,4,5,6,7,8 and 9 (→ 08 digits) • The sorting order is defined based on the divisibility of numbers starting from 2,3,4 and onwards. As a result of sorting, some of the Fibonacci numbers will be in more than one bucket because...