how to solve this problem in python Consider a polynomial p(x) defined asp(x) = ₁ (qx + 1) = (x + 1)(2x + 1)(3x + 1) ... (Nx + 1),µ₁ q=1where N is a strictly positive integer.Write a function named 'polynomial_with_roots()', which takes 2 input arguments:• a strictly positive integer `N`,• a positive integer `m` such that 0 ≤ m ≤ N,and returns the power series coefficient am, as an integer, wherep(x) = 2 go aqxa.Σ q=0Hint: You will need to be careful and e.g. make use of integer arithmetic throughout (evenavoiding use of NumPy integer arrays -- use lists instead!) in order to avoid problems withnumerical roundoff and overflow which will otherwise be encountered for larger 'N'.For example:Testprint (polynomial_with_rootsprint (polynomial_with_roots (2, 0))print (polynomial_with_roots (2, 1))print (polynomial_with_roots (2, 2))Result(40, 40)) 815915283247897734345611269596115894272€132

To find the power series coefficient am of the polynomial p(x), we can use the formula: am = (-1)^m…

Consider a polynomial p(x) defined as p(x) = ₁ (qx + 1) = (x + 1)(2x + 1)(3x + 1) ... (Nx + 1), q=1 where N is a strictly positive integer. Write a function named 'polynomial_with_roots()', which takes 2 input arguments: • a strictly positive integer `N`, • a positive integer `m` such that 0 ≤ m < N,

Consider a polynomial p(x) defined as p(x) = ₁ (qx + 1) = (x + 1)(2x + 1)(3x + 1) ... (Nx + 1), q=1 where N is a strictly positive integer. Write a function named 'polynomial_with_roots()', which takes 2 input arguments: • a strictly positive integer `N`, • a positive integer `m` such that 0 ≤ m < N,

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Let f be a function that takes some natural number n, and adds the value that n takes when its digits are reversed. For example, for n = 178 we have: f(178) = 178 +871 = 1049 If we keep iterating this value, we get: f(1049) = 1049 + 9401 = 10450 f(10450) = 10450 + 05401 = 15851 Notice that for the starting value n = 178, we eventually got a palindromic number 15851 (i.e. a value that reads the same backward as forwards). Write a function lychrel (n) that accepts any natural number n, and returns a list of iterates [n, f(n),...] of n under the function f that only terminates as soon as it reaches a palindromic value.
Program in python There is function F Give an integer n (n 2 2), consider the prime factorization n p P22 Let g god(k1, k. k) and m, = k; /g. The function F is defined as: F(n) = p1 22 Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a grven value of N: F(2) + F(3) + +F(N) As the above sum can be extremely large Example if F(125) =5, thus the answer for this is by five more than for the previous one.
Program in python There is function F. Give an integer n (n ≥ 2), consider the prime factorization n=p₁¹₁ p2²2- prr. Let g = gcd(k₁, k2..... k) and m₂ = k₁ / g. The function F is defined as: F(n) = P11 P22 Pr r Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N: F(2) + F(3) + ... + F(N).As the above sum can be extremely large Example if F(125) = 5, thus the answer for this is by five more than for the previous one.
Program in python There is function F. Give an integer n (n ≥ 2), consider the prime factorization n=PI¹1 P2¹2 Prr Let g=gcd(k₁, k2.... kr) and m, = k₁/g The function F is defined as: F(n) = P11 P22- Pr Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N. F(2) + F(3)+...+F(N). As the above sum can be extremely large Example if F(125)=5, thus the answer for this is by five more than for the previous one.
Your task is to complete a function GetArrangements() that returns the count of all the possible arrangements of length N that can be derived from the characters of an input string of length N. The input string may or may not have repeated characters. Your function should handle all the possible cases. For example,for the input provided as follows:ABCBThe function should return12
In a Python function, represent the mathematical functionf(x)= exp(-x2) cos(2*pi*x) on a mesh consisting of q + 1 equally spaced points on [-1,1], and return 1) the interpolated function value at x = -0.45 and 2) the error in the interpolated value.Call the function and write out the error for q = 2,4,8,16
Program in python .There is function F. Give an integer n (n > 2), consider the prime factorization n Let g = gcd(k1, k2, ... k,) and m; = k; / g. The function F is defined as: F(n)=p1™1·P22· Pr"r- Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N: F(2)+ F(3) + ... + F(N).As the above sum can be extremely large Example if F(125) = 5, thus the answer for this is by five more than for the previous one.
Write program in python with a function occupy(n), which shows how birds are going to occupy n nests, assuming that each new bird will choose the nest in the middle of the largest unoccupied run of nests. For example, if there were 10 nests, occupy(10) would print out the following sequence, where underscore indicates an unoccupied nest, and X indicates an occupied nest. The first line of the printout is just 10 underscores showing that all the nests are unoccupied. The second line shows that a bird came to nest in position 5, since that is one the first middle positions of the unoccupied run from 0 to 9. In the third line a bird came to occupy the middle position for the longest open run of nests, from 0 to index 4.
Your task is to complete a function GetArrangements() that returns the count of all the possible arrangements of length N that can be derived from the characters of an input string of length N. The input string may or may not have repeated characters. Your function should handle all the possible cases. For example,for the input provided as follows:ABCBThe function should return12Explanation:For input string, “ABCB” whose length is 4, the possible sub-strings of length 4 are ABCB, ACBB, ABBC, BBAC, BABC, BACB, CBAB, CABB, CBBA, BBCA, BCBA and BCAB. Therefore your function should return 12 for this input stringAnother example,for the input provided as follows:ABCThe function should return6 Code: #include<stdio.h>#include <string.h>int GetArrangements(char s[]){int output=-1;return output;}int main(){char s[100];gets(s);//write your code hereprintf("%d",GetArrangements(s));return 0;}
Remember that an integer n is prime if (i) n> 2 and (ii) it is only divisible by 1 and n itself. Subtask I: You will start by implementing a function is_prime(n: int) -> bool that returns True if the number n is prime and False otherwise. For example: • is_prime(1) should return False. is_prime(2) should return True. is_prime(-2) should return False. is_prime(5) should return True. • is_prime(41) should return True. • is_prime(323) should return False. Subtask II: The thing is, many people believe prime numbers bring sadness and must be avoided. To this end, you'll write a function sans_primes(numbers: list[int]) -> list[int] that takes in a list of integers and returns the numbers in the input list in the original order, except that every prime number is banned, so it will be excluded and numbers that come immediately after a prime number will also be excluded. For example: • sans_primes([1, 4, 9, 10]) should return [1, 4, 9, 10]. • sans_primes([1, 11, 9, 10, 17]) should return [1,…
Given a function Rand() that returns a random value between O (inclusive and 1.0 (exclusive), write the following random functions: a. A random function which ranges between 0 and N. int randNat (int N) { } b. A random function which ranges between 1 and N. int randPos (int N) { } C. A random integer function which ranges between two integers A and B, such that AMB. int randRange (int A, B) { } d. A random positive integer function whose average is A. int randAvg (int A) { } e. A random Boolean function which returns TRUE on average once every N calls. bool randEvent (int N) { }
Your task is to complete a function GetArrangements() that returns the count of all the possible arrangements of length N that can be derived from the characters of an input string of length N. The input string may or may not have repeated characters. Your function should handle all the possible cases. For example,for the input provided as follows: ABCB The function should return 12 Explanation: For input string, “ABCB” whose length is 4, the possible sub-strings of length 4 are ABCB, ACBB, ABBC, BBAC, BABC, BACB, CBAB, CABB, CBBA, BBCA, BCBA and BCAB. Therefore your function should return 12 for this input string Another example,for the input provided as follows: ABC The function should return6 programming language c#include<stdio.h>#include <string.h> int GetArrangements(char s[]){int output=-1;return output;}int main(){char s[100]; gets(s); //write your code here printf("%d",GetArrangements(s));return 0; }