Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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1. Generalized harmonic numbers. Write a program GeneralizedHarmonic.java that takes two integer command-line arguments n and r and uses a for loop to
compute the nth generalized harmonic number of order r, which is defined by the following formula:
1
1
+...+
1
H(n,r) = +7
1"
1
1
1
For example, H(3,2) =
12
49
= 1.361111.
36
%3D
22
32
-/Desktop/loops> java GeneralizedHarmonic 1 1
1.0
-/Desktop/loops> java GeneralizedHarmonic 2 1
1.5
-/Desktop/loops> java GeneralizedHarmonic 3 1
1.8333333333333333
~/Desktop/loops> java GeneralizedHarmonic 1 2
1.0
-/Desktop/loops> java GeneralizedHarmonic 2 2
1.25
~/Desktop/loops> java GeneralizedHarmonic 3 2
1.3611111111111112
Note: you may assume that n is a positive integer.
The generalized harmonic numbers are closely related to the Riemann zeta function, which plays a central role in number theory.
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Transcribed Image Text:1. Generalized harmonic numbers. Write a program GeneralizedHarmonic.java that takes two integer command-line arguments n and r and uses a for loop to compute the nth generalized harmonic number of order r, which is defined by the following formula: 1 1 +...+ 1 H(n,r) = +7 1" 1 1 1 For example, H(3,2) = 12 49 = 1.361111. 36 %3D 22 32 -/Desktop/loops> java GeneralizedHarmonic 1 1 1.0 -/Desktop/loops> java GeneralizedHarmonic 2 1 1.5 -/Desktop/loops> java GeneralizedHarmonic 3 1 1.8333333333333333 ~/Desktop/loops> java GeneralizedHarmonic 1 2 1.0 -/Desktop/loops> java GeneralizedHarmonic 2 2 1.25 ~/Desktop/loops> java GeneralizedHarmonic 3 2 1.3611111111111112 Note: you may assume that n is a positive integer. The generalized harmonic numbers are closely related to the Riemann zeta function, which plays a central role in number theory.
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