Sum of two squares def sum_of_two_squares (n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72+ 62 and 92 + 22, of which this function must return (9, 2).

Sum of two squares def sum_of_two_squares (n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72+ 62 and 92 + 22, of which this function must return (9, 2).

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion

Problem 9E: (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by...

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Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2). The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…
Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares.To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2).The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…
Cyclops numbersdef is_cyclops(n):A nonnegative integer is said to be a cyclops number if it consists of an odd number of digits so that the middle (more poetically, the “eye”) digit is a zero, and all other digits of that number are nonzero. This function should determine whether its parameter integer n is a cyclops number, and return either True or False accordingly n Expected result 0 True 101 True 98053 True 777888999 False 1056 False 675409820 False
IN python, • generate_number(pct_per_digit): Takes one float as input. Returns a random number that is constructed as follows. First, use the function above to get a random number. This number will correspond to the length (number of digits) that the number generated by this function should have. For example, if that function returns 3, then this function should generate and return a random number with three digits. Note that in the case of a multi-digit number (2 digits or greater), the first digit cannot be 0. >>> random.seed(1337) >>> generate_number(0) 9 >>> random.seed(9002) >>> generate_number(0.5) 41700
contains a function called rnd(). This function is supposed to randomlygenerate an odd number and an even number and return both numbers as theoutput. The generated numbers should be an integer between 0 and 9. The functionhas errors within it; some errors will stop the code from running and the rest arelogical errors. You will need to fix these errors. import random de rnd(): odd = 0 even = 0 while odd % 3 == 0: odd = random.randint(0, 11) while even % 2 != 0 even = random.randint(0, 10) return odd+even
def fquartic(x): return (x**4-1) Find the roots There are two real roots of this function. Even though you may immediately see what those roots are, use scipy.optimize.root_scalar to find those roots one by one: Use the default method (i.e. don't specify a specific method for root finding) Specify appropriate x0 and x1 values for each one of the roots (don't pick them right on top of the roots, but pick them close) Make sure that the converged attribute of your solutions are both True.
varinouputs.m x TEST.m x+ function a = varinouputs (varargin) Bfor n=1:nargin if sum (size (varargin(n})> s=s+varargin{n): - 2 sa varargin(n) > 3 end end as disp(Inargin nargout]):| Q1: Answer all of the following (1-10). 1- We can use neip and 00C commands/functions to get information on how to use a function in MATLAB. 2- MATLAB variable names must start with a letter 3- An example of a built-in variable in MATLAB is pi or i 4- The result of the following command A=2*(3+2)/3^-1 in MATLAB is: A 30 5- If B-5+6i, then B' and transpose(B) commands are the same. True or False? Faise 6- Let a=[2, 4, 6] and b=[5; 2; 6]. Which of the following operations would not give an error? a) a+b; b, d, e and f b) a'-b; c) a.*b; d) b*a; e) a./b'; f) a.^a; 7- If C-[1, 5, 6, 10, 3, 8], then C(1)=, 8- If D-[1, 2, 3; 4, 5, 6; 7, 8, 9], then sub2ind([3 3], [3 2], [2 2])= 5 6 D(2,3)=. D(end-2)=_3 9- The result of the following command E=0.1 b) evennumber-numel(A(mod(A,2)so)); Q3: Define a 2-D array (matrix)…
le.com/forms/d/e/1FAlpQLSc6PlhZGOLJ4LOHo5cCGEf9HDChfQ-tT1bES-BKgkKu44eEnw/formResponse The following iterative sequence is defined for the set of positive integers: Sn/2 3n +1 ifn is odd if n is even Un = Using the rule above and starting with 13, we generate the following sequence: 13 u13 = 40 u40 =20 u20 = 10→ u10 =5 u5 = 16 u16 = 8 ug = 4 → Us =2 u2 =1. It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. The below function takes as input an integer n and returns the number of terms generated by the sequence starting at n. function i-Seq (n) u=n; i=%3; while u =1 if statement 1 u=u/2; else statement 2 end i=i+1; end statement 1 and statement 2 should be replaced by: None of the choices statement 1 is "mod(u,2)=D%3D0" and statement 2 is "u = 3*u+1;" statement 1 is "u%2" and statement 2 is "u = 3*u+1;" O statement 1 is "mod(n,2)=30" and statement 2 is "u = 3*n+1;"
def cuberoot(n): """Computes the cube root of float n by fixpoint iteration""" cuberoot: This function should use fixed-point iteration to return the cube root of a given n (positive or negative floating point number). Your implementation should ideally return a precise approximation, but must be correct to at least eight significant digits and must use fixpoint iteration.
Create a program that accepts an integer N, and pass it to the function generatePattern. generatePattern() function which has the following description: Return type - void Parameter - integer n This function prints a right triangular pattern of letter 'T' based on the value of n. The top of the triangle starts with 1 and increments by one down on the next line until the integer n. For each row of in printing the right triangle, print "T" for n times. In the main function, call the generatePattern() function. Input 1. One line containing an integer Output Enter N: 4 T TT TTT TTTT
The numpy module contains functions to generate random permutations. Given a non-negative integer n, every permutation of 2n numbers can be turned into a matching by taking the first half of the permutation entries (i.e., the first n numbers) and connecting each of them to the corresponding entry in the second half (i.e., the last n numbers). Use this method to write a function random_matching that takes n and returns a randomly selected matching of 2n numbers in the form of a list of n tuples, where each tuple contains two integers. Note: Ensure that the tuples are returned such that the first integer is less than the second integer. To demonstrate that your code works, draw the arc diagrams for five randomly chosen matchings of 20 numbers.
Instructions There are four clubs in Tesset University South, North, West, and East. A Tesset student can choose to join any number of clubs. Your task is to determine how many students are enrolled in exactly two clubs. Write a function/method named dualClubCounter that will accept a string containing the student number and his desired club. Return a set containing the name of students are enrolled exactly in two clubs. Use SET in your solution Example #1 INPUT: "12300:East,12301:West, 12302:South, 12300:West, 123 Expected Content of Set = [12300] Example #2 INPUT: "12300:East,12301:West, 12302:South, 12300:West,123 Expected Content of Set = [12300, 12301]