Ackermanns function, named after the German mathematician Wilhelm Ackermann, is used in the theory of recursive functions.
Question:
Ackermann’s function, named after the German mathematician Wilhelm Ackermann, is used in the theory of recursive functions. There are several variants of this function. Their common properties are that the function takes two parameters (x and y) and grows very fast (much faster than polynomials or exponentials). Here is one variant:
1. If x = 0, then Ackermann(x, y) = 2y.
2. If x >= 1 and y = 0, then Ackermann(x, y) = 0.
3. If x >= 1 and y = 1, then Ackermann(x, y) = 2.
4. If x >= 1 and y >= 2, then Ackermann(x, y) =
Ackermann(x–1, Ackermann(x, y–1)).
Implement this variant of Ackermann’s function with a recursive method.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
The Ackermann function is a recursive function which means that it calls itself in order to calculat...View the full answer
Answered By
Ravi Tomar
I have 5 years of experience as an Agricultural Economics tutor. During this time, I have been able to successfully provide guidance to students in their studies and help them develop their knowledge and understanding of the subject. My approach to teaching has always been to combine academic learning with practical application, often drawing on my professional experience to help students better understand how the concepts they learn apply to the real world. I also focus on helping students develop critical thinking skills, enabling them to tackle problems independently and develop their own solutions. I have also been able to provide support on specific assignments, helping students to structure their work and ensure that it meets the required quality and standards.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Computer science questions
-
One version of Ackermann's function A(m,n) is defined recursively for m, n N by A(0, n) = n + 1, n > 0; A(m, 0) = A(m - 1, 1), m > 0; and A(m, n) = A(m - 1, A(m, n - 1)), m, n > 0. [Such functions...
-
The Cantor set, named after the German mathematician George Cantor (18451918), is constructed as follows. We start with the closed interval [0, 1] and remove the open interval (1/3, 2/3). That leaves...
-
The Cantor set, named after the German mathematician Georg Cantor (1845-1918), is constructed as follows. We start with the closed interval [0, 1] and remove the open interval (1/3, 2/3). That leaves...
-
How does Apple Inc apply Marketing and Advertising To market their product? Direct advertising Indirect Advertising Social Media (Paid Media, Owned Media, Earned Media)
-
Canadian Automated Electronics (CAE) did a study of time to complete tasks entailing simulation control for 25 employees. Construct a relative frequency histogram that corresponds to the given...
-
Perhaps programs used for business purposes ought to conform to higher standards of quality than games. With respect to software warranties, would it make sense to distinguish between software used...
-
0.0284 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca Z 0 Z .09 .08 .07 .06 .05 .04...
-
1. How should the management team at Bally Hoo make an informed judgment about the future demand for retro clothing styles? 2. What is your evaluation of the creative thinking of Julia? 3. If you...
-
You are standing on a straight stretch of road and watching the motion of a bicycle; you choose your position as the origin. At one instant, the position of the bicycle is negative and its velocity...
-
Why did Bosch state the cost of living allowance amount as a CEHB-based sum and a separate cost of living supplement in first and the second year of the assignment in the balance sheet for Korea?
-
Write a recursive method to convert a character string of digits to an integer. Example: convert("1234") returns 1234.
-
This project deals with a simple kind of expression tree, in which there are two kinds of nodes: (a) Leaf nodes, which contain a real number as their element; (b) Non-leaf nodes, which contain either...
-
In general, at what age and at what level of income must you start making CPP contributions?
-
Explain the relationship between dynamic storage allocation and recursion.
-
The following output is possible using a queue: 1 2 3 4 5 1. True 2. False 3. Not enough information to determine
-
Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineer measures the thicknesses for a sample of washers and tests \(H_{0}: \mu=2\) versus...
-
Given the following values in list: Show the contents of the run-time stack during the execution of this call to BinarySearch: list .length .info 10 2 [0] 6 [1] 9 [2] 14 [3] 23 [4] 65 [5] 92 [6] 699...
-
Show what would be written by the following calls to the recursive function Puzzle: 1. cout int Puzzle(int base, int limit) { } if (base > limit) return -1; else if (base == limit) return 1; else...
-
Rafael and Lucy Gonzalez, married taxpayers, each contribute $2,900 to their respective 401(k) plans in 2016. The AGI reported on their joint return is $38,000. Determine the amount of the couple's...
-
Using the theoretical sampling strategy, how many samples of size 4 (n = 4) can be drawn from a population of size: (a) N = 5? (b) N = 8? (c) N = 16? (d) N = 50?
-
Convert 5ED4 into a binary number. What makes base 16 (hexadecimal) an attractive numbering system for representing values in computers?
-
What is 4365 - 3412 when these values represent signed 12-bit octal numbers stored in sign-magnitude format? The result should be written in octal. Show your work.
-
Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate 185 122. Is there overflow, underflow, or neither?
-
On-campus corporate presentations: Sympathy for the Devil Many students complain about the high number of corporate presentations taking place both on- and off-campus. In this question, we seek to...
-
How do organizations cultivate a culture of open innovation, leveraging crowdsourcing platforms, collaborative networks, and cross-industry partnerships to harness external knowledge and drive...
-
Braeden Sim is the accountant for Sim's Internet Service. From the following information, his task is to construct a balance sheet as of April 30, 201X, in proper form. Could you help him? (Click the...
Study smarter with the SolutionInn App