Determine whether the following relation is an equivalence relation. If so, determine its equivalence class: { (x,y)
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Question:
Determine whether the following relation is an equivalence relation. If so, determine its equivalence class:
{(x,y) ∈ C × C : |x| ≤ |y| ∨ Arg(y) ≤ Arg(x)}
(C = the set of complex numbers. Recall: In the Euler form of a complex number x = re^(iφ), Arg(x) = φ)
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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