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1. This is one 1-1 correspondence between Z and I. f : I → Z f(n) = { n = 1, 3, 5, - …. 7, n = 2, 4, 6, ·.. Note This map tags each element of Z with a natural number n. 0, -1, ,1, -2, 2, -3, 3, ... ... 1, 2, 3, 4, 5, 6, 7, ... • What is the label for the number 4001? What about the number –511?

1. This is one 1-1 correspondence between Z and I. f : I → Z f(n) = { n = 1, 3, 5, - …. 7, n = 2, 4, 6, ·.. Note This map tags each element of Z with a natural number n. 0, -1, ,1, -2, 2, -3, 3, ... ... 1, 2, 3, 4, 5, 6, 7, ... • What is the label for the number 4001? What about the number –511?

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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1. This is one 1-1 correspondence between Z and I. f :I → Z f(n) = { ", n= 1,3,5, ·.. 2 n = 2, 4, 6, -.. Note This map tags each element of Z with a natural number n. 0, -1, ,1, -2, 2, -3, 3, ... 1, 2, 3, 4, 5, 6, 7, ... • What is the label for the number 4001? • What about the number -511?
Transcribed Image Text:1. This is one 1-1 correspondence between Z and I. f :I → Z f(n) = { ", n= 1,3,5, ·.. 2 n = 2, 4, 6, -.. Note This map tags each element of Z with a natural number n. 0, -1, ,1, -2, 2, -3, 3, ... 1, 2, 3, 4, 5, 6, 7, ... • What is the label for the number 4001? • What about the number -511?
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