Exercise 3: Bijections Let X := {(x1, x₂) = R² : x² + x² = 1}. Find a bijection between X\ {(0, 1)} and R. Prove that your answer is correct.
Exercise 3: Bijections Let X := {(x1, x₂) = R² : x² + x² = 1}. Find a bijection between X\ {(0, 1)} and R. Prove that your answer is correct.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Exercise 3: Bijections Let
X := {(x1,x2) ≤ R² : x² + x² = 1}.
Find a bijection between X \ {(0, 1)} and R. Prove that your answer is correct.
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