Please use python Write a function (including docstring) called multiply_term that takes a polynomial as inputs and aterm. We can represent polynomials as a collection or power-coefficient pairs. Consider the followingpolynomial: p(r) = 2 · x4 – 3- x + 5. We can represent it as the following collection of pairs: (4, 2), (1,-3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term,and the second its coefficient. For example, the term 5 - x4 is represented by the tuple (4, 5).The function does not return anything, but after its execution the input dictionary will now representthe multiplication of the input polynomial by the specified term.For example:Page 2>> p = {2 : 1, 1 : 2} # x^2 + 2x>>> t = (4, 5) # 5x^4>> multiply_term(p, t)>>> p == {6 : 5, 5 10}TrueYou can assume that the function will receive as input a dictionary mapping integers to numbers. Noneed for you to implement any type of input validation.

We know, to add two polynomials, we add/subtract the coefficients corresponding to like terms, i.e…

Write a function (including docstring) called multiply_term that takes a polynomial as inputs and a term. We can represent polynomials as a collection or power-coefficient pairs. Consider the following polynomial: p(r) = 2 · x – 3.r+5. We can represent it as the following collection of pairs: (4, 2), (1, -3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term, and the second its coefficient. For example, the term 5- xª is represented by the tuple (4, 5). The function does not return anything, but after its execution the input dictionary will now represent the multiplication of the input polynomial by the specified term. For example:

Write a function (including docstring) called multiply_term that takes a polynomial as inputs and a term. We can represent polynomials as a collection or power-coefficient pairs. Consider the following polynomial: p(r) = 2 · x – 3.r+5. We can represent it as the following collection of pairs: (4, 2), (1, -3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term, and the second its coefficient. For example, the term 5- xª is represented by the tuple (4, 5). The function does not return anything, but after its execution the input dictionary will now represent the multiplication of the input polynomial by the specified term. For example:

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

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consider an input string TAM of letters ‘A’, ‘M’, and ‘T’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called TAMUK. The number of each of these letters is unknown. We have a function, called SWAP(TAM,i,j), which places the ith letter in the jth entry of string TAM and the jth letter in the ith entry of TAM. Note that SWAP(TAM,i,j) is defined for all integers i and j between 0 and length(TAM)–1, where length(TAM) is the number of letters of TAM. 1. Using our algorithmic language, write an algorithm, called Sort_TAM, which sorts the letters in the array TAMUK in a way that all T’s appear first, followed by all A’s, and followed by all M’s. The algorithm Sort_TAM should have one parameter: The array TAMUK. Also, your solution is correct only if the following four constraints are satisfied: - Constraint 1: Each letter (‘A’, ‘M’, or ‘T’) is evaluated only once. - Constraint 2: The function SWAP(TAM,i,j) is used only when it is…