Answered: d) Prove that the following code…

d) Prove that the following code returnsn by structural induction func number(n): if (n == 0): return n; else return 1+number (n-1); • Introduction

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

Related questions

Q: Find the logic error(s) in the following recursive function, and explain how to correct it (them).…

A: def sum(n): if n == 0: return 0 else: return n + sum(n) Logical errors are If n ==…

Q: Define a Racket function (rn x n) to circularly rotate the elements function uses function (r x)…

A: The current scenario here is to wrote the program to circularly rotate the elements n times to the…

Q: Write a recursive function called "GetParent" in Binary Search Tree of the given node. You can take…

A: Actually, function is a group of statements.

Q: 3. Create a recursion program for a factorial problem of n, the recursion function should take n and…

A: /*Program that defines recursive function to find Factrial of number*/ //include standard…

Q: 6. The Ackerman recursion can be described as below: A (0, n) = n + 1 A (m + 1, 0) = A (m, 1) A (m +…

A: The Ackermann function is an example of a recursive function, especially because it is not a…

Q: Can someone help in c++ To compose a recursive function for deriving the sequence: n n-1 n-2 ... 3…

A: ALGORITHM:- 1. Take input value of n from user. 2. Call the recursive function and pass value of n…

Q: Write a recursive Python function that matches the following docstring: ''' Function -- sum_fives…

A: Recursion is the process of calling the same function repeatedly to make the problem into smaller…

Q: Write a recursive C function that finds the factorial of a given integer. Use this function to n!…

A: Given data is shown below:

Q: Define a Recursive function that will compute the factorial of N. The factorial of N is define as N!…

A: NOTE: Student did not mention any programming programming. So, I implement this recursive function…

Q: a) Give a recursive deﬁnition for the set of all strings of a’s and b’s where n a’s followed by n…

A: Given: Give a recursive deﬁnition for the set of all strings of a’s and b’s where n a’s followed by…

Q: 4. Perform Left Recursion Elimination for the following gram E à E +T|E-T|T Tà TF |F F à F * | C C à…

A: Consider the given Grammar : E→E+T | E-T | T T→TF | F F→F*|C C→a|b We can remove Unit Production…

Q: The factorial function n! has value 1 when n 1 and value n*(n-1)! When n>1. Write both a recursive…

A: function recursive_factorial( n ): Start if n >= 1 then return n * recursive_factorial(n - 1)…

Q: Ackermann's Function A(m,n) is defined as follows: n + 1 А(т - 1,1) (А(m - 1,А (т,п —1)),otherwise…

A: Note: since programming language is not mentioned we are providing solution in c programming.please…

Q: Write in C Language ''Must'' use recursive way to do this Description Give you a…

A: Program #include <stdio.h>int main(){ int c, d, m, n, itr = 0, s_row = 0, s_col = 0;…

Q: Q. Eliminate immediate left recursion and left factoring for the productions below if any. E → int |…

A: The problem is to eliminate immediate left recursion and left factoring for the production given.

Q: d) Given base and n that are both 1 or more, compute recursively (no loops) the value of base to the…

A: here in this question we have asked to write a program in python which take base and n value from…

Q: Construct a TM that accepts the following languages. a. L12={a2nbn | n ≥1} b. L5 = {02^n | n ≥1 }.…

A: Answer

Q: Write a recursive function to generate nth fibonacci term in C programming. How to generate nth…

A: Recursion is a process of calling the function itself Here, base case is when n is 0 or 1 and all…

Q: Suppose you are given two integer values x and y. Construct a recursive algo- rithm that uses any…

A: Recursive algorithm: A recursive algorithm is an algorithm which calls itself with "smaller (or…

Q: a) Suppose the following recursive set S: • Basis elements: {0, 2, 4} • Recursive step 1: a, y ES I*…

A: Hey there, I am writing the required solution based on the above given question. Please do find the…

Q: Give you a matrix. Please output the elements in clockwise spiral order.

A: Given Task: Given a matrix. output the elements in clockwise spiral order.

Q: Iffis defined recursively by f(0) = 6 and f(n + 1) = 2f(n) 5. %3D f(1), f (3), ƒ (5), f (7) and f(9)

A: Given: f(0) = 6 f(n+1) = 2f(n) - 5 Calculate f(1) When n = 0 f(0+1) = 2f(0) - 5 = 2*6 - 5 = 12-5 =…

Q: complete the identified statement such that the recursive function funx(n+1) = n*funx(n-1), any…

A: float funx(int n) { if(n==1) return 1; else return n*funx(n-1);…

Q: Eliminate immediate left recursion and left factoring for the productions below if any. i. A → A +…

A: In the given grammar, there is not left factoring. But there is direct left recursion.

Q: complete the identified statement such that the recursive function funx(n+1) = n*funx(n-1), any…

A: Define header file <iostream> for io operations. Define function funx with parameter n. Use if…

Q: c) Prove that the following code returns by structural induction func power (x,y): 0) : if (y return…

A: Introduction:- This problem finds the value of xy in a recursive manner, basically this problem keep…

Q: B2. b. Given the following infix expression: ((X-Y)/((Z+P) *Q)) 1- Draw the parse tree for this…

A: Given: Q4. Eliminate immediate left recursion and left factoring for the productions below if…

Q: Ackermann's Function is a recursive mathematical algorithm that can be used to test how well a…

A: code : #include "stdafx.h" #include <iostream> using namespace std; //function to test…

Q: Complete the implementation of depth-first search by filling in the TODO sections with the…

A: The program is written in C++. Please find the source code and comments in the below steps.

Q: (a) Write a recursive function to compute n! for n > 1. (b) Write a recurrence relation for the work…

A: As per our company guidelines we are supposed to answer only three subparts. Please repost other…

Q: Write a recursive function to add the first n terms of the series 1 + 1/2 - 1/3 + 1/4 - 1/5

A: // C++ program to find the value of // the given series#include<bits/stdc++.h>using namespace…

Q: L={a"b²"c":n≥1} This language is not context-free. This TM will be proof that it is recursively…

A: A Turing machine is a numerical model of calculation depicting a theoretical machine that controls…

Q: State whether the following are valid identifiers (function or variable name) and if so, whether…

A: Power – it is a valid identifier. So, it can be used to store power value or can be name of a…

Q: Part a. Make a diagram of memory for point one when n == 2. int expo(int x, int n) { int r, t; if (n…

A: Part a:

Q: Eliminate Left Recursion from the following CFG. S-> SS + | (SS *)[ a|Ab| +B|E A-> AS|*Salb|AA |aS +…

A: Left recursion :- left recursion occur if the leftmost variable of its RHS is same as Variable of…

Q: Write a recursive function that calculates the sum of the branch lengths given a tree and node…

A: Write a recursive function that calculates the sum of the branch lengths given a tree and node…

Q: Write a recursive function in C++ to multiply all even numbers from 2 to n, where n is an input to…

A: logic: Base condition if n==2 return 2 else Check for even case Prod=n*multi(n-2)…

Q: A recursive function could be denoted as below. Tm = " (}) + 1 Prove that T(n) = O(lg n)

A: NOTE: According to our Answer policy we can only answer one question . Please post only one question…

Q: Write a recursive function which implements the following mathematical recurrence: f(0) = 2 f(1) = 3…

A: Refer to step 2 for the answer.

Q: Define a Recursive function that will compute the factorial of N. The factorial of N is define as…

A: Step-1: Start Step-2: Declare variables N and fact Step-3: Take input from user and store in N…

Q: Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a…

A: Lets see the solution.

Q: Can someone to a recursion tree or something to simplify this concept to me as simple as possible…

A: Here the terminating condition or base condition is (n<=0)

Q: For the following code segment, determine the best asymptotic efficency class to express the…

A: - The question wants to know the best asymptotic efficiency class to express the complexity of the…

Q: Use recursive functions only Python only** onlyAU - Given an RNA sequence, returns a new sequence…

A: The PYTHON code is given below No loop is used in the code A recursive function has been used…

Q: Q3 \ write program in C# language to read three elements (X & Y & Z, R) and find the solution of the…

A: Algorithm: Start Create a class Demo with variables x,y and create a constructor to Initialize the…

Q: •rewrite calculateSum function as a recursive function. m(i) = m(i-1) + i/(i+1), where i >=1

A: #include<bits/stdc++.h> using namespace std; int recursive(int); int main() { int n;…

Q: Define a Recursive function that will compute the factorial of N. The factorial of N is define as…

A: Factorial of n is the product of all positive descending integers.

Question

Discrete math computer science

d) Prove that the following code returnsn by structural induction
func number (n):
if (n == 0):
return n;
else return 1+number (n-1);
• Introduction
• Base case(s):
• Inductive Hypothesis:
• Inductive Step:
• Conclusion:
9.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fundamentals of Boolean Algebra and Digital Logics

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Question 99 Define set S recursively as follows:Base Case: 8∈SRecursion: if a∈S and b∈S then a∗b∈S Prove using structural induction that any element in S can be written as 8^n for some n≥1. Full explain this question and text typing work only thanks
Mathematical Logic First-order or predicate logic. Show that the sum relation, {(m,n,p)|p=m+n}, is not definable on (N; ∙). Hint: Consider an automorphism of (N; ∙) that interchanges two primes. Where N is the set of natural numbers. Please be as clear as possible. Show and explain all the steps. Thank you very much.
Please answer the following question in depth with full detail. Consider the 8-puzzle that we discussed in class. Suppose we define a new heuristic function h3 which is the average of h1 and h2, and another heuristic function h4 which is the sum of h1 and h2. That is, for every state s ∈ S: h3(s) =h1(s) + h2(s) 2 h4(s) =h1(s) + h2(s) where h1 and h2 are defined as “the number of misplaced tiles”, and “the sum of the distances of the tiles from their goal positions”, respectively. Are h3 and h4 admissible? If admissible, compare their dominance with respect to h1 and h2, if not, provide a counterexample, i.e. a puzzle configuration where dominance does not hold.
Consider the following algorithm and generate a top down parser for it.STARTArrange non-terminals in some order like A1, A2, A3,…,Anfor each i from 1 to n{for each j from 1 to i-1{replace each production of form Ai ⟹Aj?with Ai ⟹ X1? | X2? | X3? |…| ?where Aj ⟹ X1 | X2|…| Xn are current Aj productions}}eliminate immediate left-recursionEND
Contrast and contrast iterative and recursive solutions. When do you prefer iteration over recursion, and when do you favour recursion over iteration? Give specific instances to back up your response.
Consider the following scenario in which recursive binary search could be advantageous. What would you do if you found yourself in such a situation? What is the first requirement that a recursive binary search must satisfy?
Answer the given question with a proper explanation and step-by-step solution. C++ 11.12 LAB: Fibonacci sequence (recursion) The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the Fibonacci() function, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1. Ex: If the input is: 7 the output is: Fibonacci(7) is 13 Note: Use recursion and DO NOT use any loops. main.cpp #include <iostream>using namespace std; int Fibonacci(int n) {/* Type your code here. */ } int main() {int startNum;cin >> startNum;cout << "Fibonacci(" << startNum << ") is " << Fibonacci(startNum) << endl;return 0;}
1. i. (⌐ p ↔ q) is logically equivalent to ii. what is first truth - tree decomposition rule that should be used on the following wff: ⌐ (⌐ R ↔ R) implication of D b. simplication of biconditional D c. Double negation conditional D d. Negation of biconditional D
Dont post copied answers provide handwritten solution with step by step process answer only 100% sure otherwise dislike (downvote) and report answer Please Construct Deterministic Finite Automata to accept the regular expression : (0+1)* (00+11) (0+1)*
Answer the given question with a proper explanation and step-by-step solution. You are asked to pick up a project on building highways to connect all cities in the country. The cost of building a highway between two cites i and j is c(i, j) > 0. If you were in charge from the beginning, this would have been a minimum spanning tree problem and could be solve easily with the algorithms covered in class. Since you pick it up halfway, however, some suboptimal choices have already been made by your predecessor. In other words, highways were already built between some pairs of cities. Design an algorithm to find a cost minimizing set of highways to built subject to the choices already made. Do not copy others.
Use recursion tree to guess a bound, then proof it using induction. Finally, use master theorem (if applicable) to directly get the bound. Try to make your bounds as tight as possible. T(n) = 2T(n/2) + n T(n) = 2T(n-2) + n
Modeling the spread of a virus like COVID-19 using recursion. Let N = total population (assumed constant, disregarding deaths, births, immigration, and emigration). S n = number who are susceptible to the disease at time n (n is in weeks). I n = number who are infected (and contagious) at time n. R n = number who are recovered (and not contagiuous) at time n. The total population is divided between these three groups: N = S n + I n + R n There are several hidden assumptions here that may or may not apply to COVID-19, such as a recovered person is assumed to not be able to get the disease a second time, at least within the time window being examined. On week 0 (the start), you assume a certain small number of people have the infection (just to get things going). Everyone else is initially susceptible, and no one is recovered. There are two constants of interest: Let period = time period that it takes for an infected person to recover (recover meaning they become not infectious to…