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Question 2 Find a function f: Z N from the integers ("heltal") to the natural numbers, that is surjective but not injective. Explain why your function is surjective. Explain why it is not injective. Note: This is not the same assignment as one of the exercises from week 1; this time the function takes integers ("heltal") as arguments, not natural numbers.

Question 2 Find a function f: Z N from the integers ("heltal") to the natural numbers, that is surjective but not injective. Explain why your function is surjective. Explain why it is not injective. Note: This is not the same assignment as one of the exercises from week 1; this time the function takes integers ("heltal") as arguments, not natural numbers.

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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Question 2 Find a function f: Z N from the integers ("heltal") to the natural numbers, that is surjective but not injective. Explain why your function is surjective. Explain why it is not injective. Note: This is not the same assignment as one of the exercises from week 1; this time the function takes integers ("heltal") as arguments, not natural numbers.
Transcribed Image Text:Question 2 Find a function f: Z N from the integers ("heltal") to the natural numbers, that is surjective but not injective. Explain why your function is surjective. Explain why it is not injective. Note: This is not the same assignment as one of the exercises from week 1; this time the function takes integers ("heltal") as arguments, not natural numbers.
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2. Almost! But there's nothing that maps to 0. In your notes at the top you've listed ℕ={1,2,3,…}, so you should keep in mind that (at least in computer science-adjacent fields) ℕ includes 0.

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