Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Calculating the Ackermann's function
At the lectures we saw recursive functions. One of the most known recursive functions is Ackermann's function. In the basic form, this is a function of three arguments, but in the literature, we often use a derivative with two arguments: Péter and Robinson.
!!!!!!!!!!!!!!!!!!USING A PEN AND PAPER!!!!!!!!!!!!!!!
Compute the a (3, 3), write the solution on a paper.
Scan the paper and jpg files (each sheet into a separate file).
Archive all files into the zip archive and submit this file as a solution to the task!
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps
Knowledge Booster
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
- Using Python Recursion is the concept of a function calling itself until the problem is solved when the Base Case is met. Study Recursion: See slides in Modules, Practice Slides, lab12 and also Recursion is in chapter 9 of the textbook. Some examples of recursion are: compute [ factorial of a number, towers of Hanoi, fractals (as shown in the textbook), and many more]. Example: See slides Page 2 For this assignment we'll use Collatz Cojecture (see Wikipedia). Collatz Conjecture algorithm: Given a number n, first call to the function: f(n): In the function: if n == 1 return 1: if n is even then f(n/2), i.e. call self with the new value. else (n is odd) call self with the new value, f((n*3)+1) and repeat. All numbers eventually end up with 1. The program should test for the base case which is: if n == 1, in which case it returns to the caller with 1. This problem is perfect to demonstrate Recursion.Create a list with random numbers (you can just do this part manually) in the list as 1,…arrow_forwardUse ONLY PyCharm, please.Thank you.arrow_forwardA recursive sequence is defined by - d k = 6 d k − 1 + 3 , for all integers k ≥ 2 and d1 = 2 Use iteration to guess an explicit formula for the above sequence.arrow_forward
- For function log, write the missing base case condition and the recursive call. This function computes the log of n to the base b. As an example: log 8 to the base 2 equals 3 since 8 = 2*2*2. We can find this by dividing 8 by 2 until we reach 1, and we count the number of divisions we make. You should assume that n is exactly b to some integer power. Examples: log(2, 4) -> 2 and log(10, 100) -> 2 public int log(int b, int n ) { if <<Missing base case condition>> { return 0; } else { return <<Missing a Recursive case action>> }}arrow_forwardWrite a recursive function diff (java) which utilizes two positive integer arguments (x and y) and returns |x – y|. An x - y calculation may not be performed during the function. Thanks so much for your help!arrow_forwardWrite a recursive program that takes a positive integer as an input and returns the sum of the digits of the integer. (Example: If the input is 45678, then output will be 30.)arrow_forward
- Given the recursive function definition:t(n) = n+ 3 * t(n-1) + t(n-2) t(0) = 2 t(1) = 1a. Evaluate: t(3)b. Write the source code to implement this functionarrow_forwardpython not java pleasearrow_forwardWrite a program in Python that converts Euclid’s algorithm to find the greatest common divisor (GCD) of two positive integers to a recursive function named gcd.arrow_forward
- Recursion efficiency in Julia can be improved using memorization technique to store the values of previously computed functions. The following Fibonacci function below does not employ memorization, please change into a recursive function with memorization: function fib(n) if n==1 return 1 elseif n==2 return 1 elseif n<=0 printstyled("Invalid input",color=:red) return else return fib(n-1)+fib(n-2) end endarrow_forwardAnswer the given question with a proper explanation and step-by-step solution.arrow_forwardcode in matlabarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education