Big Java Late Objects
2nd Edition
ISBN: 9781119330455
Author: Horstmann
Publisher: WILEY
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Chapter 5, Problem 7PP
Use recursion to compute an, where n is a positive integer. Hint: If n is 1, then an = a. If n is even, then an = (an/2)2. Otherwise, an = a × an−1.
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A recursive sequence is defined by -
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For recursive formulas, is there a set rule of using a(n) to represent a(n+1)? For example, for the factorial example in the lecture, a(n+1) = (n+1)*a(n). Could it also be a(n) = n*a(n-1)?
Language: C
Using the recursion, show all different ways to represent an integer N as sum of non-zero natural numbers. For example, for N = 3, you have the following possibilities: 3, 2 + 1, 1 + 2, 1 + 1 + 1.
Problem 2
Chapter 5 Solutions
Big Java Late Objects
Ch. 5.1 - Consider the method call Math.pow(3, 2). What are...Ch. 5.1 - What is the return value of the method call...Ch. 5.1 - The Math.ceil method in the Java standard library...Ch. 5.1 - It is possible to determine the answer to Self...Ch. 5.2 - What is the value of cubeVolume(3)?Ch. 5.2 - Prob. 6SCCh. 5.2 - Provide an alternate implementation of the body of...Ch. 5.2 - Declare a method squareArea that computes the area...Ch. 5.2 - Consider this method: public static int...Ch. 5.3 - What does this program print? Use a diagram like...
Ch. 5.3 - Prob. 11SCCh. 5.3 - What does this program print? Use a diagram like...Ch. 5.4 - Prob. 13SCCh. 5.4 - What does this method do? public static boolean...Ch. 5.4 - Implement the mystery method of Self Check 14 with...Ch. 5.5 - How do you generate the following printout, using...Ch. 5.5 - Prob. 17SCCh. 5.5 - Prob. 18SCCh. 5.5 - Prob. 19SCCh. 5.5 - The boxString method contains the code for...Ch. 5.6 - Consider the following statements: int...Ch. 5.6 - Consider this method that prints a page number on...Ch. 5.6 - Consider the following method that computes...Ch. 5.6 - The comment explains what the following loop does....Ch. 5.6 - In Self Check 24, you were asked to implement a...Ch. 5.7 - Explain how you can improve the intName method so...Ch. 5.7 - Prob. 27SCCh. 5.7 - What happens when you call intName(0)? How can you...Ch. 5.7 - Trace the method call intName(72), as described in...Ch. 5.7 - Prob. 30SCCh. 5.8 - Which lines are in the scope of the variable i...Ch. 5.8 - Which lines are in the scope of the parameter...Ch. 5.8 - The program declares two local variables with the...Ch. 5.8 - There is a scope error in the mystery method. How...Ch. 5.8 - Prob. 35SCCh. 5.9 - Consider this slight modification of the...Ch. 5.9 - Consider this recursive method: public static int...Ch. 5.9 - Consider this recursive method: public static int...Ch. 5.9 - Prob. 39SCCh. 5.9 - The intName method in Section 5.7 accepted...Ch. 5 - In which sequence are the lines of the Cubes.java...Ch. 5 - Write method headers for methods with the...Ch. 5 - Give examples of the following methods from the...Ch. 5 - Prob. 4RECh. 5 - Consider these methods: public static double...Ch. 5 - Prob. 6RECh. 5 - Design a method that prints a floating-point...Ch. 5 - Write pseudocode for a method that translates a...Ch. 5 - Describe the scope error in the following program...Ch. 5 - For each of the variables in the following...Ch. 5 - Prob. 11RECh. 5 - Perform a walkthrough of the intName method with...Ch. 5 - Consider the following method: public static int...Ch. 5 - Consider the following method that is intended to...Ch. 5 - Suppose an ancient civilization had constructed...Ch. 5 - Give pseudocode for a recursive method for...Ch. 5 - Give pseudocode for a recursive method that sorts...Ch. 5 - Write the following methods and provide a program...Ch. 5 - Write the following methods and provide a program...Ch. 5 - Prob. 4PECh. 5 - Prob. 5PECh. 5 - Prob. 6PECh. 5 - Prob. 7PECh. 5 - Prob. 8PECh. 5 - Write methods public static double...Ch. 5 - Write a recursive method public static String...Ch. 5 - Write a recursive method public static boolean...Ch. 5 - Use recursion to implement a method public static...Ch. 5 - Use recursion to determine the number of digits in...Ch. 5 - Write a method that computes the balance of a bank...Ch. 5 - Write a method that tests whether a file name...Ch. 5 - It is a well-known phenomenon that most people are...Ch. 5 - Prob. 3PPCh. 5 - Use recursion to compute an, where n is a positive...Ch. 5 - Leap years. Write a method public static boolean...Ch. 5 - In Exercise P3.13 you were asked to write a...Ch. 5 - Prob. 10PPCh. 5 - Write a program that reads two strings containing...Ch. 5 - Prob. 12PPCh. 5 - Write a program that reads words and arranges them...Ch. 5 - Prob. 14PPCh. 5 - Write a program that reads two fractions, adds...Ch. 5 - Write a program that prints the decimal expansion...Ch. 5 - Write a program that reads a decimal expansion...Ch. 5 - Write two methods public static void...Ch. 5 - Write a program that reads in the width and height...Ch. 5 - Repeat Exercise P5.19 with hexagonal circle...Ch. 5 - Postal bar codes. For faster sorting of letters,...Ch. 5 - Write a program that reads in a bar code (with :...Ch. 5 - Write a program that converts a Roman number such...Ch. 5 - A non-governmental organization needs a program to...Ch. 5 - Having a secure password is a very important...Ch. 5 - Prob. 30PPCh. 5 - Prob. 31PPCh. 5 - Electric wire, like that in the photo, is a...Ch. 5 - The drag force on a car is given by FD=12v2ACD...
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