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6) Prove that the set Z of integers is countable by proving that the f: IN Z, f(n)= n/2 if n is even and -(n+1)/2 if n is odd, is invertible.

6) Prove that the set Z of integers is countable by proving that the f: IN Z, f(n)= n/2 if n is even and -(n+1)/2 if n is odd, is invertible.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6) Prove that the set Z of integers is countable by proving that the f: IN Z, f(n)= n/2 if n is even and -(n+1)/2 if n is odd, is invertible.
Transcribed Image Text:6) Prove that the set Z of integers is countable by proving that the f: IN Z, f(n)= n/2 if n is even and -(n+1)/2 if n is odd, is invertible.
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